The market value of Lawrence's shares is $28.88. It can be calculated by the formula of market value.
Given,
Annual dividend per share: $2.28
Required return: 12%
Dividend growth rate for the first 3 years: 15%
The dividend growth rate from year 4 onwards: 7%
To calculate the market value of Lawrence Industries' shares, the formula for the present value of growing perpetuity can be used:
Market Value = Dividend / (Required Return - Growth Rate)
First, let's calculate the dividend in year 4.
Dividend year 4 = Dividend year 3 × (1 + Growth Rate)
= $2.28 × (1 + 0.15)
= $2.28 × 1.15
= $2.622
Now,
\(Market Value = (\frac{2.28}{(0.12 - 0.15)}) + (\frac{2.622}{(0.12 - 0.07)})\)
\(Market Value = (\frac{2.28}{-0.03}) + (\frac{2.622}{0.05})\)
Market Value = -$76 + $52.44
Market Value = $-23.56 + $52.44
Market Value = $28.88
Learn more about market value, here:
https://brainly.com/question/28320555
#SPJ4
Which of the following is a benefit of a bank?
A. You can get your cash quickly and easily.
B. A bank is insured by the federal deposit insurance corporation
C. You assets are safe from theft, loss, and fires
D. All the above
Answer:
D
Explanation:
Answer:
D. All the above
Explanation:
The main purpose of a cover letter is to:
a. Get hired for a position
b. Be called in for an interview
C. Let yyour friends know how your job search is going
d. Obtain references from your network
Answer:
be called for an interview
how much would you cost to have a good night
Answer:
as much as i need
Explanation:
3. The owner of a specialty delicatessen buys baskets, decorates and fills them with food items, and
sells them as one of the products in the shop. The entrepreneur sells an average of 130 baskets a
month The basket supplier charges $0.50 per basket. The entrepreneur would like to reduce his
variable costs and has found a basket supplier who will charge only $0.40 per basket. How much
will the delicatessen owner save in a year by changing suppliers?
Answer:
$156
Explanation:
he old price per basket is $0.50 per basket
the new supplier has a price of $0.40 per basket
Savings per basket is $0.10 ($.50- $0.40)
The average sales per month are 130 baskets.
The average savings per months will be
=$0.10 x 130
=$13
yearly savings will be
=$13 x 12 months
=$156
the receiving department has three activities: unloading, counting goods, and inspecting. unloading uses a forklift that is leased for $20,500 per year. the forklift is used only for unloading. the fuel for the forklift is $4,500 per year. other operating costs (maintenance) for the forklift total $1,750 per year. inspection uses some special testing equipment that has depreciation of $2,500 per year and an operating cost of $1,750. receiving has three employees who have an average salary of $30,000 per year. the work distribution matrix for the receiving personnel is as follows: activity percentage of time on each activity unloading 40% counting 25% inspecting 35% no other resources are used for these activities. required: 1. calculate the cost of each activity. line item description amount unloading $fill in the blank 1 counting $fill in the blank 2 inspecting $fill in the blank 3 2. explain the two methods used to assign costs to activities. when the resource is used only by one activity, then fill in the blank 1 of 2 is possible. when the activities are shared, as in the case of labor, then fill in the blank 2 of 2 must be used.
The cost of each activity is $26,750, $7,500 and $4,250. Activity-based costing assigns the costs of resources to activities based on the amount of resources used by the activity.
Unloading: $20,500 + $4,500 + $1,750 = $26,750
Counting: $30,000 x 25% = $7,500
Inspecting: $2,500 + $1,750 = $4,250
When the resource is used only by one activity, then direct allocation is possible. When the activities are shared, as in the case of labor, then activity-based costing must be used.
Activity-based costing assigns the costs of resources to activities based on the amount of resources used by the activity.
In this example, the labor costs are distributed based on the percentage of time spent on each activity (e.g. 40% for unloading, 25% for counting, 35% for inspecting).
To learn more about activity-based, refer below:
https://brainly.com/question/17076430#
#SPJ11
you have $6000 to invest, and you have two options: option a: 4.3% compounded monthly option b: 4.2% compounded continuously. (a) calculate the annual percentage yield for each option. (round your answers to three decimal places.) option a incorrect: your answer is incorrect. % option b 4.393 incorrect: your answer is incorrect. %
The true rate of return on an investment that takes into account the impact of compounding interest is known as the annual percentage yield (APY). Compared to simple interest, compound interest is calculated frequently and is immediately added to the account balance.
Annual percentage yield, which is based upon a one-year compounding period, normalizes the representation of an interest rate. The use of APY values enables meaningful, one-point comparison of many products with various compounding schedules.
High-yield accounts typically earn rates that are many times higher than standard savings accounts, which can sometimes earn rates as low as 0.01% APY, especially at large national banks. The finest high-yield accounts currently provide rates of roughly 4% APY.
Learn more about the annual percentage yield here:
https://brainly.com/question/30794636
#SPJ4
Match the types of goods with their characteristics regarding exclusivity and rivalry. The task is to match the lettered items with the correct numbered items. Appearing below is a list of lettered items. Following that is a list of numbered items. Each numbered item is followed by a drop-down. Select the letter in the drop down that best matches the numbered item with the lettered alternatives. a. It can be exclusive or not It can be rival or not b. It is exclusive It is rival c. It is nonexcusive It is nonrival 1. Semiprivate Goods and Services a 2. Private Goods and Services a 3. Public Goods and Services
Answer:
1. Excludability
2. Rivalry in Consumption
3. 4 Different Types of Goods
4. Private Goods
Explanation:
By the 1960s, many economists talked about___ the ___
a term used to suggest that only a ___amount of government spending was needed initiate a bigger round of overall spending.
By the 1960s, many Economists talked about the stagflation, a term used to suggest that only an large amount of government spending was needed initiate a bigger round of overall spending.
Stagflation is considered to be an economic cycle which is characterized by the slow growth and a high unemployment rate accompanied by inflation. However, here the policymakers find this combination particularly difficult to handle.
Keynesian Economists tend to justify that the government intervention through the public policies which thus aim in order to achieve full employment and price stability in the economy.
Hence, stagflation happens when the prices are rising.
To learn more about Stagflation here:
https://brainly.com/question/11224683
#SPJ1
4.
manager wants to give a pay rise to everyone who is paid less than the average salary.
This table shows the annual salaries of the employees in the company.
Employee
Salary (in £ thousands)
AJ
16
TM
23
WF
23
SW
22
MT
15.5
RD
18.5
JR
20
LS
23
PB
36
Tick all of the employees who are paid less than the median salary.
Answer: AJ, MT, RD, Jr
Explanation:
Given the following data :
AJ - 16
TM - 23
WF - 23
SW - 22
MT - 15.5
RD - 18.5
Jr - 20
LS - 23
PB - 36
Median salary can be calculated thus :
Arranging salary in ascending order of Magnitude :
15.5, 16, 18.5, 20, 22, 23, 23, 23, 36 (£ thousand)
Meduan salary is the 5th figure in the arrangement = £22 thousand
Therefore, those earning less than the median salary are:
AJ, MT, RD, Jr
According to the video, what do Financial Analysts analyze? Check all that apply.
financial records
travel distances
insurance claims
a company's competitors
fraud
If I had a business partner later, but I did most of the work to making our new company, is it only fair if I get more of the ownership of the company, or do we do it equally, this is not for now in high school, this is when I get older.
Answer:
u do it equally
Explanation:
At what age can you start working?
Answer:
Explanation:
depends on where you live
Explanation:
It really depends on the jobs and requirements but you can USUALLY do small work like walking a dog or babysitting at 13-14
A written contract granting permission to operate
an already existing business.
Answer:
Explanation:
A written contract granting permission to operate a business to sell products and services in a prescribed way. franchise.
If the federal government believes in Keynsian fiscal policy, then which of the following
fiscal policies would they use in an inflationary gap?
a) decrease G or increase taxes
b) increase G or increase taxes
c) increase G or decrease taxes
d) decrease G or decrease taxes
Based on the information you provided, if the federal government believes in Keynesian fiscal policy and is facing an inflationary gap, they would most likely use fiscal policies that aim to decrease government spending (G) or increase taxes.
Keynesian fiscal policy suggests that during inflationary periods, the government should implement contractionary measures to reduce aggregate demand and control inflation. One way to achieve this is by decreasing government spending (G). By cutting back on government expenditures, the overall level of demand in the economy decreases, which can help alleviate inflationary pressures.
Another option the government may consider is increasing taxes. By raising taxes, individuals and businesses have less disposable income available to spend, which can also help reduce aggregate demand and curb inflation.
So, the correct answer to your question would be option a) decrease G or increase taxes.
It's worth noting that different economic theories and approaches may suggest alternative solutions to inflationary gaps. However, based on the information provided, the Keynesian approach suggests that decreasing government spending or increasing taxes would be the preferred fiscal policies in such a scenario.
Learn more about Keynesian fiscal policy here:-
https://brainly.com/question/33441235
#SPJ11
describe your role in communicating to stakeholders and/or leadership partners, how you influenced them and built trust?
Trust is a potent force that promotes effective communication, fosters loyalty, and boosts credibility.
Communication is the common thread that enables leaders to build a culture of trust within their organizations. Once trust is established, leaders are empowered to achieve their goals more effectively and efficiently with the full trust and support of their teams. Organizations today are built on trust.
Earn that trust by communicating openly and often. Have clear and committed communication policies, strategies and processes. Initiation of formal and informal communication programs. Regularly assess the effectiveness of your own communication and that of your team and organization. Be honest about your skills and the skills you offer. Don't overpromise what you can offer. Be open and honest when a customer asks you something you don't understand. If the problem is outside your area, please refer someone for help.
The key to successful leadership is influence, not authority. Leaders need to be close enough to others to engage them, but far enough ahead to motivate them. If you want people to truly respect you as a leader, you have to prove to them that they can survive and thrive without you.
Know more about communication here:
https://brainly.com/question/1165906
#SPJ4
How much should someone’s loan payment be if their total income is $100?
Someone’s loan payment if their total income is $100 should be 30 times their monthly income.
The loan payments means the amounts required to be paid by the borrower in repayment of the loan pursuant to the provisions of the loan agreement, the note and the bond mortgage.
In most cases, lenders consider approximately 50-75% of the net income as instalments. In case your expenses exceed the percentage, banks either increase the tenure of the loan or reduce the amount sanctioned.
Additionally, to minimise the risk of default, lenders keep the EMIs of the loan to about 45-60% of your monthly income.
To know more about loan here,
https://brainly.com/question/14784302
#SPJ1
Imagine that you were responsible for maintaining a company’s website. What kind of recurring tasks might you create in Outlook to help you do your job?
Any task that will take place repeatedly throughout the course of your project can gain from being set as a recurring activity. Several instances include: Meetings may be held weekly, bimonthly, monthly, or quarterly. Reports are issued weekly, bimonthly, monthly, or quarterly.
There are some jobs that come up again throughout any project or personal endeavor. They typically occur on a regular basis and need to be finished before they do so once more. These items are known as recurring tasks, and most task management programs allow you to set them up to repeat themselves automatically. Setting up a task to repeat itself repeatedly on a regular basis is a typical practice.
To learn more about project, click here.
https://brainly.com/question/29564005
#SPJ1
Project Ideas for Project Management ( atleast 10 ideas in
detail)
These project ideas cover a range of industries , providing opportunities for project management initiatives. Each project requires careful planning, coordination, and execution to achieve successful outcomes.
Implementing a Customer Relationship Management (CRM) System:
This project involves selecting, customizing, and implementing a CRM system to improve customer interactions, sales tracking, and marketing efforts. It includes requirements gathering, vendor evaluation, data migration, and user training.
Launching a New Product:
This project focuses on developing and launching a new product or service. It includes market research, product design, prototyping, manufacturing, marketing, and distribution planning.
Office Relocation:
This project involves planning and executing the relocation of an office to a new location. It includes site selection, lease negotiation, space design, furniture procurement, IT infrastructure setup, and employee relocation.
Website Redesign:
This project aims to revamp an existing website to improve user experience, visual appeal, and functionality. It includes gathering requirements, creating wireframes and mockups, development, content migration, and testing.
Organizational Change Management:
This project focuses on implementing significant changes within an organization, such as a new process, technology, or organizational structure. It includes change impact analysis, stakeholder engagement, communication planning, and training.
Process Improvement:
This project aims to enhance operational efficiency by identifying and implementing process improvements. It involves analyzing current processes, identifying bottlenecks, proposing solutions, and monitoring performance metrics.
Event Planning:
This project involves organizing and managing a corporate event, such as a conference, trade show, or team-building retreat. It includes venue selection, budgeting, scheduling, logistics, vendor coordination, and attendee management.
Infrastructure Upgrade:
This project focuses on upgrading an organization's IT infrastructure, such as network systems, servers, and storage. It includes assessing current infrastructure, planning the upgrade, procuring hardware and software, implementation, and testing.
Sustainability Initiative:
This project aims to implement sustainable practices within an organization, such as energy efficiency measures, waste reduction, or renewable energy adoption. It involves conducting audits, setting targets, implementing changes, and monitoring progress.
Employee Training Program:
This project involves designing and implementing a comprehensive training program to enhance employee skills and knowledge. It includes needs assessment, curriculum development, training delivery, and evaluation.
These project ideas cover a range of industries and objectives, providing ample opportunities for project management initiatives. Each project requires careful planning, coordination, and execution to achieve successful outcomes. Remember to tailor the project approach to suit your organization's specific needs and goals.
To know more about project management, visit:
https://brainly.in/question/50032978
#SPJ11
The OSHA Construction requirement of 1926.1424 to create an area to protect
workers from a Swing Radius Hazard is called:
•Rest Area Control
•Work Area Control
•Breakfast Area Control
•Parking Area Control
The OSHA Construction requirement of 1926.1424 to create an area to protect workers from a Swing Radius Hazard is called:
B. Work Area ControlWhat is Work Area Control?This refers to the section of work which is specifically designed to offer security and protection to workers so that they would not have a work-related injury.
With this in mind, we can see that the OSHA Construction requirement of 1926.1424 was made to create a Work Area Control which would protect workers from a Swing Radius Hazard.
Read more about Work Area Control here:
https://brainly.com/question/17483083
Suppose now that the Federal Reserve wants to increase the monetary base by increasing bank reserves only. hich of the following actions enables the Fed to achieve its goal? a.Require the non-banking public to repay discount loans b. Buy the government securities exclusively from commercial banks c. Lend to the non-banking public through the term auction facility d. Lend to commercial banks through the term auction facility By lending to commercial banks through the discount window, the Federal Reserve alters and thus affects
Option d: "Lend to commercial banks through the term auction facility" enables the Federal Reserve to increase the monetary base by increasing bank reserves only.
By lending to commercial banks through the term auction facility, the Federal Reserve is directly increasing the amount of bank reserves, which in turn increases the monetary base. Option a is incorrect because requiring the non-banking public to repay discount loans would decrease bank reserves and the monetary base.
Option b is incorrect because buying government securities exclusively from commercial banks would not necessarily increase bank reserves, as the banks could simply hold onto the proceeds from the sale rather than lending them out. Option c is incorrect because lending to the non-banking public would not increase bank reserves or the monetary base.
Learn more about Federal Reserve https://brainly.com/question/25817380
#SPJ11
the day-to-day living conditions of modern americans are very different from what they were in the 20th century. while doing research for an economics project, charlie discovers that more households today, as compared to households 100 years ago, have electricity, air conditioning, and a car.
Our society has experienced economic growth. Americans today live in drastically different circumstances than those of the 20th century. while conducting economics research.
What is the straightforward meaning of economic?Economics is the research of scarcity and how it affects how resources are used, how goods and services are produced, how production and welfare increase over time, and a wide range of other complicated problems that are extremely important to society.
What is an example in the economy?Farmers lower the price of a crop when corn production rises in order to sell more of their harvest. The quantity of corn required to feed the population will increase if the stock is too high.
To know more about economic visit:
https://brainly.com/question/14787713
#SPJ4
An organization segmented into departments such as Sales, Marketing, Product Design, Product Development, Operations, and Human Resources demonstrates a (blank)organizational structure.An organization segmented by both product and function demonstrates a (blank)organizational structure.An organization segmented by geographic regions demonstrates a((blank) organizational structure.answer choises- divisional, functional, matrix
Functional organizational structure , matrix organizational structure , Divisional organizational structure.
A functional organizational structure is a framework for organizing employees. They are divided into groups depending on their unique abilities and knowledge. Each department is organized vertically, with positions ranging from the president through the finance and sales divisions, customer support, and workers assigned to a single product or service.
Workers expressed to two or more supervisors rather than a single manager who oversees all components of a problem in a matrix organizational structure.
The divisional structure is a company structure in which each administrative function is divided into divisions. Each division houses all of the resources and functions required to serve the line of products or geographical in consideration.
Learn more:
https://brainly.com/question/14966127?referrer=searchResults
Answer: Functional, Matrix, Divisional
Explanation:
I got it right on edge 2022
Select all that apply.
Which of these are true of a natural pause following a conversation?
You should begin speaking to avoid awkwardness.
You should not panic.
Take a moment to collect your thoughts before you speak.
Conversations that end with a pause went poorly.
Answer:
You should not panic
AND
Take a moment to collect your thoughts before you speak.
Explanation:
Hope this helps!
Please Help 100 Points + Brainlest Answer
Take in note *If I have $1046 spending cash for 1 month * Answer the Following questions based on that.
Your daughter gets sick and has to be in the hospital. You have to pay $2000 out of pocket before the health insurance company starts to pay the bill. What is this an example of?
Did you have enough left over from your pay check to cover that expense?
The following month, your wife gets into a car accident. She is out of work, but luckily you have been paying for _________________________ which helps pay the bills.
The month after, your son gets into a minor car accident. You must pay $500 out of pocket before your _______________________ company pays for the rest of the damages.
Your insurance goes up to $250 per month from $100. Do you have enough left over from your paycheck to cover that expense?
The government passes a new tax law that increases the tax percentage to 20% (.2) for less than $50,000, 30% (.3) for 50-99,999, and 40% (.4) for anyone making over $100,000. How much less will you be bringing home after taxes?
You get laid off from your job and find a job that only pays $25,000 a year. Your spouse finds a job that only makes $25,000 a year. You make $50,000 total but now you have to pay for daycare which is $300 a month. How much money do you have left over after you include all your other expenses?
Do you have enough money, or do you have to cut back on your expenses?
You want to go on vacation, and you charge $6,000 for a vacation to Disney. If the interest rate is 25%, how much will you have to pay IF you were able to pay it off all at once? 6,000 x .25 = _____ + 6,000 = _______
You have a third child, and now your grocery bill goes up another $100. How much do you have left over?
Explanation
you ill have 234 left
Explanation:
234 Will Be Left Hope It Helps U
Jamie is researching places to live after graduating college he asked you I keep coming across as phrase cost-of-living I’ve never heard of it before do you know what it means which of the following definitions would you choose to explain to Jamie about cost-of-living means
Answer:
The cost of living refers to the prices of goods and services needed to sustain an average level standard of living in an area
Explanation:
The cost of living refers to the cost of keeping up with a given standard of living. It is the amount Jamie would need to keep up with basic expenses such as food, housing, clothing and medical care. Cost of living compares the expense between living in two different areas. Jamie's cost of living is tied to his wages and it can be measured using what is called purchasing power parity.
The production planner for a private label soft drink maker is planning the production of two soft drinks: root beer (R) and sassafras soda (S). Two resources are constrained: production time (T), of which she has at most 12 hours per day; and carbonated water (W), of which she can get at most 1500 gallons per day. A case of root beer requires 2 minutes of time and 5 gallons of water to produce, while a case of sassafras soda requires 3 minutes of time and 5 gallons of water. Profits for the root beer are $6. 00 per case, and profits for the sassafras soda are $4. 00 per case. What is the objective function?
a. $2R + $3S = Z.
b. $5R + $5S = Z.
c. $3R + $2S = Z.
d. $4R + $6S = Z.
What are optimal daily profits?
The optimal daily profits are $1592. Note that this assumes that all cases produced are sold.
The objective function for the production planner is to maximize profits, where profits are defined by the number of cases of root beer (R) and sassafras soda (S) produced, multiplied by their respective profits. Let X be the number of cases of root beer and Y be the number of cases of sassafras soda. Then the objective function can be expressed as:
Z = 6X + 4Y
The optimal daily profits will depend on the constraints of the problem. The constraints are:
2X + 3Y <= (720/60) x 12 (time constraint)
5X + 5Y <= 1500 (water constraint)
X, Y >= 0 (non-negativity constraint)
The first constraint ensures that the total production time does not exceed 12 hours per day, and the second constraint ensures that the total amount of water needed for production does not exceed 1500 gallons per day. The non-negativity constraint simply means that you cannot produce a negative number of cases.
Using linear programming techniques, we can solve this problem to obtain the optimal solution, which corresponds to the maximum value of the objective function while satisfying all the constraints. The optimal solution turns out to be X = 200 and Y = 133.33 (or 133), which means that the production planner should produce 200 cases of root beer and 133 cases of sassafras soda to maximize profits. Plugging these values into the objective function gives us:
Z = 6(200) + 4(133) = $1592
Therefore, the optimal daily profits are $1592. Note that this assumes that all cases produced are sold.
Learn more about profits visit: brainly.com/question/24553900
#SPJ4
what is a new product in business
Answer:
bio
form
Explanation:
bProblem 8-43 (LO. 2, 3,4) On March 15, 2022, Helen purchased and placed in service a new Escalade. The purchase price of the automobile was $62,000, and the vehicle had a rating of 6,500 GVW. The vehicle was used 100% for business. If required, round your answers to the nearest dollar. Click here to access the depreciation table to use for this problem. a. Assuming that Helen does not use additional first-year depreciation, calculate the total depreciation deduction that she can the vehicle for 2022. b. What is her total depreciation deduction if Helen decided to take additional first-year depreciation? $ X Feedback V Check My Work what was needed for their business use. However, there are different rules for vehicles with a GVW of more than 6,000lbs.
without additional first-year depreciation, Helen can claim a depreciation deduction of $12,400 for 2022. However, if she chooses to take additional first-year depreciation, her total depreciation deduction for 2022 would be $62,000.
To calculate the total depreciation deduction for the Escalade in 2022 without additional first-year depreciation, we need to determine the applicable depreciation method and the recovery period. As the Escalade has a GVW of 6,500 lbs, it falls under the Modified Accelerated Cost Recovery System (MACRS) with a recovery period of 5 years.
Using the MACRS depreciation table and the purchase price of $62,000, we can find the depreciation deduction for each year. For the first year, the depreciation deduction is 20% of the purchase price. So, the deduction for 2022 would be:
Depreciation deduction for 2022 = Purchase price * Depreciation rate
= $62,000 * 20%
= $12,400
b. If Helen decided to take additional first-year depreciation, she would be eligible for bonus depreciation. For vehicles with a GVW over 6,000 lbs, the bonus depreciation rate is 100% for the first year.
So, the total depreciation deduction for 2022 with additional first-year depreciation would be:
Depreciation deduction for 2022 (with bonus depreciation) = Purchase price
= $62,000
Learn more about depreciation here : brainly.com/question/30531944
#SPJ11
For each of the following linear functions, construct an equation for the given function and then determine the independent and dependent variables. (a) Sales tax is 6.9% of the purchase price. T(P) = The independent variable is [Choose one and the dependent variable is Choose one (b) The height of a tree is directly proportional to the amount of sunlight it receives. NOTE: Use k for the constant of proportionality. (b) The height of a tree is directly proportional to the amount of sunlight it receives. NOTE: Use k for the constant of proportionality. H(S) = The independent variable is Choose one and the dependent variable is Choose one (c) The average salary for full-time employees of American domestic industries has been growing at an annual rate of $1600/year since 1985, when the average salary was $25,000. S(t) = The independent variable is Choose one and the dependent variable is Choose one A residential customer in the Midwest purchases gas from a utility company that charges according to the formula C(g) = 13+ 10.5g, where C(g) is the cost, in dollars, for g thousand cubic feet of gas. a. Find C(0), C(5), and C(10). C(0) = i C(5)= i C(10): b. What is the cost if the customer uses no gas? $ c. What is the rate per thousand cubic feet charged for using the gas? per thousand cubic feet of gas. much would it cost if the customer uses 94 thousand cubic feet of gas (the amount an average Midwest household consumes C(0) C(5) 60 i C(10) => i b. What is the cost if the customer uses no gas? c. What is the rate per thousand cubic feet charged for using the gas? $i per thousand cubic feet of gas. d. How much would it cost if the customer uses 94 thousand cubic feet of gas (the amount an average Midwest household consumes during the winter months)?
For each given linear function: (a) Sales tax is 6.9% of the purchase price. (b) Tree height is directly proportional to sunlight. (c) Average salary grows $1600/year since 1985. (d) Gas cost formula is C(g) = 13 + 10.5g.
(a) Sales tax is 6.9% of the purchase price.
T(P) = 0.069P
The independent variable is the purchase price (P), and the dependent variable is the sales tax (T).
(b) The height of a tree is directly proportional to the amount of sunlight it receives.
H(S) = kS
The independent variable is the amount of sunlight (S), and the dependent variable is the height of the tree (H).
(c) The average salary for full-time employees of American domestic industries has been growing at an annual rate of $1600/year since 1985, when the average salary was $25,000.
S(t) = 25,000 + 1600(t - 1985)
The independent variable is the number of years since 1985 (t), and the dependent variable is the average salary (S).
(d) The cost of gas purchased from a utility company is given by the formula C(g) = 13 + 10.5g, where C(g) is the cost in dollars for g thousand cubic feet of gas.
a. Find C(0), C(5), and C(10).
C(0) = 13 + 10.5(0) = 13
C(5) = 13 + 10.5(5) = 13 + 52.5 = 65.5
C(10) = 13 + 10.5(10) = 13 + 105 = 118
b. The cost if the customer uses no gas is $13.
c. The rate per thousand cubic feet charged for using the gas is $10.5.
d. If the customer uses 94 thousand cubic feet of gas, the cost would be:
C(94) = 13 + 10.5(94) = 13 + 987 = $1000.
To know more about linear function
https://brainly.com/question/29205018
#SPJ11
What are some reasons that a bank statement might not match a cash balance of a business's records? Choose all answers that are correct.
Question 1 options:
posted payments on credit cards
bank errors
outstanding deposits
service charges
recorded checks
outstanding checks
Answer:
outstanding deposits, outstanding checks, posted payments on credit cards
Explanation:
Bank errors, Outstanding Deposits, Service Charges, and Outstanding checks are some reasons that a bank statement might not match the cash balance of a business's records. The correct options are B, C, D, and F.
What information does a bank statement provide?Name, address, account number, and bank branch information are all listed on bank statements for account holders. Additionally, a summary table that displays the statement's time frame, opening and closing bank balances, deposits made to the account, refunds, and cash withdrawals is included. In addition, fines levied by your bank as well as declined or canceled payments will appear on your statements.
Differences between the two records could be the result of Deposits in transit: The firm may have received cash or cheques, but the bank may not have yet recorded them. Outstanding checks are ones that have been issued but have not yet been processed. Bank service fees: Banks frequently deduct service fees.
Thus, the ideal options are B, C, D, and F.
Learn more about Bank Statement here:
https://brainly.com/question/22786262
#SPJ2