Harry is 30 years old and plans to retire at age 70 years with $1,200,000 in his retirement account. What amount would he have to set aside now in an investment paying 275% interest if the compoundina is done auarferly? (Round the answer to nearest cent as needed Type mousands, dollars; and conts in the three given blanks)

The vertical distance between yi and ybi is the length

From the question, we have the following parameters that can be used in our computation:

yi and ybi

A vertical distance is the distance between two points or objects measured along a vertical line or in the vertical direction. It is the difference between the vertical coordinates (heights or elevations) of the two points or objects.

In this case, the vertical distance  is the length

Read more about distance at

https://brainly.com/question/28551043

#SPJ1

\( {\qquad\qquad\huge\underline{{\sf Answer}}} \)

Here we go ~

\(\qquad \sf  \dashrightarrow \: (f + g)(x)\)

\(\qquad \sf  \dashrightarrow \: f(x) + g(x)\)

\(\qquad \sf  \dashrightarrow \: (4 {x}^{2} - 5x) + (3 {x}^{2} + 6x - 4)\)

\(\qquad \sf  \dashrightarrow \: 7 {x}^{2} + x - 4\)

Peter will be needing 6 gallons of paint to paint the wall of area 2070 sq ft.

Given that Peter uses 3 gallons of paint to paint an area of 1005 ft², we need to find how many gallons of paint would he need to paint a wall having area between 1,950 and 2,070 square feet of walls.

So,

Since he uses 3 gallons for 1005,

So, for 1 sq ft of area he will need = 1/335 gallons

So, for an area of 2070 sq ft he will need = 2070 x 1/335 ≈ 6 gallons.

Hence he will be needing 6 gallons of paint to paint the wall of area 2070 sq ft.

Learn more about unit rates click;

https://brainly.com/question/29781084

#SPJ1

The value of the function f(2) is 3

From the question, we have the following parameters that can be used in our computation:

f(x) = 2x - 1

Also, we have

x  = 2

Substitute the known values in the above equation, so, we have the following representation

f(2) = 2 * 2 - 1

Evaluate

f(2) = 3

Hence, the solution is 3

Read more about functions at

https://brainly.com/question/28277110

#SPJ1

Complete question

Consider the function,f(x) = 2x - 1

Calculate f(x) when x = 2

Answer:  Elga is 16 years old

Step-by-step explanation: so first you divide 96 by 2 and get 48, 48 divided by 3=16,

please mark brainliest if this helps :)

Work Shown:

x = Elga's age

3x = Alvin's age since he is 3 times older

x+3x = 4x = sum of their ages

4x = 96

x = 96/4

x = 24 is Elga's age

3x = 3*24 = 72 is Alvin's age

Check: 24+72 = 96 which confirms the answer.

Answer:

21100 minutes or about 351.67 hours

Step-by-step explanation:

First find out how many $10 is in $42200 by dividing. The answer is 4220

This means there is 4220 5 minutes. Multiply to get 21100.

It takes 21100 minutes or about 351.67 hours to get 42200 dollars.

Answer:

60(2)+x(2)=260

120+2x=260

2x=140

x=70

Step-by-step explanation:

That's the answer

The dimensions of the rectangular pen are 45 and 50 feet

The sum of the all the side lengths of a polygon is considered as its perimeter.

Given that, Diana wants to build a rectangular pen for her goats. The length of the pen should be at least 50 feet, and the perimeter of the pen should be no more than 190 feet.

Perimeter = 2(length+width)

190 = 2(50+w)

95 = 50+w

w = 45

Hence, the length and width of the pen is 50 and 45 feet respectively.

For more references on perimeter, click;

https://brainly.com/question/6465134

#SPJ1

Organizations that build strategic information systems create systems that are paramount to business success. The correct option is(D).

Strategic information systems are those that support the long-term goals and objectives of an organization, aligning the use of technology with the strategic direction of the business. These systems provide a competitive advantage by enabling the organization to achieve its strategic goals and objectives more efficiently and effectively.

They typically involve the integration of different types of information systems, such as transaction processing systems, decision support systems, and executive information systems, to support the decision-making process at all levels of the organization.

By building strategic information systems, organizations can improve their overall performance, enhance their operational efficiency, and gain a competitive advantage in the marketplace.

Such systems can help organizations to better understand their customers, identify new market opportunities, improve supply chain management, and optimize business processes.

In today's rapidly changing business environment, strategic information systems are essential for organizations to remain competitive and achieve long-term success.

To know more about "Business" refer here:

https://brainly.com/question/18307610#

#SPJ11

Answer:

Step-by-step explanation:

To find the scale factor, we can compare the corresponding sides of the two similar figures:

Scale factor = (length of corresponding side in larger figure) / (length of corresponding side in smaller figure)

Let's compare the first and fourth columns of numbers:

Scale factor = 12 / 12 = 1

Now let's compare the second and fifth columns:

Scale factor = 84 / 11 = 7.636363...

Since the two scale factors are different, we can say that the figures are not perfectly similar.

Solution to the initial value problem is:  \(\[y^2 = x^2 + \tan(x) + 25\]\)

To solve the initial value problem:

\(\(\frac{{dy}}{{dx}} = \frac{{2x + \sec^2(x)}}{{2y}}\)\)

with the initial condition \(\(y(0) = -5\)\), we can separate the variables and integrate.

First, let's rewrite the equation:

\(\[2y \, dy = (2x + \sec^2(x)) \, dx\]\)

Now, we integrate both sides with respect to their respective variables:

\(\[\int 2y \, dy = \int (2x + \sec^2(x)) \, dx\]\)

Integrating, we get:

\(\[y^2 = x^2 + \tan(x) + C\]\)

where C is the constant of integration.

Now, we can substitute the initial condition \(\(y(0) = -5\)\) into the equation to solve for the constant C:

\((-5)^2 = 0^2 + \tan(0) + C\\25 = 0 + 0 + C\\C = 25\)

Therefore, the particular solution to the initial value problem is:

\(\[y^2 = x^2 + \tan(x) + 25\]\)

To know more about initial value problem refer here:

https://brainly.com/question/30466257#

#SPJ11

The probability that the remaining bill is a $2 bill is approximately 0.2857 or 28.57%.

To solve this problem, we can use conditional probability. Let's denote the events as follows:

A: The wallet initially contains a $2 bill.

B: The wallet initially contains a $20 bill.

C: The bill drawn from the wallet is a $2 bill.

We want to find the probability of Provenience is the horizontal and vertical position of an artifact within the matrix.  A occurring given that event C has occurred, P(A|C).

To begin, let's analyze the given information:

- The wallet either contains a $2 bill or a $20 bill, with equal likelihood. So, P(A) = P(B) = 0.5.

- If the wallet initially contains a $2 bill (event A), the probability of drawing a $2 bill (event C) is 2/3, since there are two $2 bills and one $20 bill in the wallet.

- If the wallet initially contains a $20 bill (event B), the probability of drawing a $2 bill (event C) is 1/2, as there is only one $2 bill left in the wallet.

Now, let's calculate the probability using Bayes' theorem:

P(A|C) = (P(C|A) * P(A)) / P(C)

P(C|A) = 2/3 (probability of drawing a $2 bill given that the wallet initially contains a $2 bill)

P(C) = P(C|A) * P(A) + P(C|B) * P(B) (total probability of drawing a $2 bill)

P(C|B) = 1/2 (probability of drawing a $2 bill given that the wallet initially contains a $20 bill)

P(C) = (2/3 * 0.5) + (1/2 * 0.5) = 1/3 + 1/4 = 7/12

P(A|C) = (2/3 * 0.5) / (7/12)

      = 4/6 / 7/12

      = (4/6) * (12/7)

      = 2/7

Therefore, the chances that the remaining bill in the wallet is a $2 bill, given that a $2 bill was drawn, is 2/7 or approximately 0.2857 (or 28.57%).

So, the probability that the remaining bill is a $2 bill is approximately 0.2857 or 28.57%.

Learn more about probability here; brainly.com/question/31828911

#SPJ11

For the given details the journal entry,

1) Compensation Expense $10.0 million

SARs Liability $10.0 million

2)  SARs Liability $5.0 million

Cash $5.0 million

To record this adjustment, we need to debit Compensation Expense and credit SARs Liability. The amount of the adjustment will be equal to the fair value of the SARs on the exercise date. Let's assume that the fair value of the SARs on June 6, 2021, is $10 million.

To record this journal entry, we need to debit SARs Liability and credit Cash. Let's assume that the market price of the stock on June 6, 2021, is $70 per share and the exercise price of the SARs is $65 per share. Also, let's assume that the company has 1 million SARs outstanding.

The total cash payment will be equal to the difference between the market price and the exercise price multiplied by the number of SARs exercised. In this case, the cash payment will be:

($70 - $65) x 1 million = $5.0 million

To know more about journal entry here

https://brainly.com/question/20421012

#SPJ4

Complete Question:

The SARs are exercised on June 6, 2021, when the share price is $65, and executives choose to receive the market price appreciation in cash. Prepare the appropriate journal entry(s) on that date. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field. Enter your answers in millions rounded to 1 decimal place (i.e., 5,500,000 should be entered as 5.5).)

1.Record any necessary adjustment to compensation expense.

2.Record the payment of cash.

To find the probability that a randomly selected student got an A in math or art class (or both), we need to use the principle of inclusion-exclusion.

Let's define the events:

M = Getting an A in math class

A = Getting an A in art class

We are given the following information:

n(M) = 82 (number of students who got an A in math)

n(A) = 73 (number of students who got an A in art)

n(M ∩ A) = 42 (number of students who got an A in both math and art)

To calculate the probability of getting an A in math or art class (or both), we can use the formula:

P(M ∪ A) = P(M) + P(A) - P(M ∩ A)

We need to find the probabilities P(M) and P(A) first.

P(M) = n(M) / total number of students

P(M) = 82 / 500

P(M) = 0.164

P(A) = n(A) / total number of students

P(A) = 73 / 500

P(A) = 0.146

Now, we can calculate the probability of getting an A in math or art class (or both):

P(M ∪ A) = P(M) + P(A) - P(M ∩ A)

P(M ∪ A) = 0.164 + 0.146 - (42 / 500)

P(M ∪ A) ≈ 0.164 + 0.146 - 0.084

P(M ∪ A) ≈ 0.226

Therefore, the probability that a randomly selected student got an A in math or art class (or both) is approximately 0.226, or 22.6%.

To know more about inclusion-exclusion:- https://brainly.com/question/28900501

#SPJ11

Answer: yes it is

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Patience and persistence are key in resolving this issue, and seeking assistance from the platform's support team is often the best course of action.

If you are unable to log back into your account because the email address associated with it has been disabled, there are a few steps you can take to regain access. Here are some suggestions:

Contact the email service provider: Reach out to the support team of the email service provider that disabled your email address. Explain the situation and provide any necessary details to prove your identity. They may be able to assist you in reactivating or recovering your email address.

Account recovery options: Check if the email service provider offers any account recovery options. This could include answering security questions, providing backup email addresses or phone numbers, or going through a verification process. Explore these options to regain access to your email account.

Contact the platform's support: If you are unable to recover your email address, reach out to the support team of the platform or service you are trying to log into. Explain your situation and provide any relevant information, such as your username or previous account activity. They may have alternative methods to verify your identity and help you regain access to your account.

Provide additional proof: If requested by the support team, be prepared to provide additional proof of your identity or ownership of the account. This could include providing personal information, previous transaction details, or any other information related to your account that can help verify your identity.

Keep records of achievements: While working on regaining access to your account, make sure to keep records or screenshots of your achievements. This can serve as evidence of your progress and accomplishments, which may be helpful in case you need to provide further verification or support your case during the recovery process.

Remember, each platform or service may have specific procedures for account recovery, so it's important to follow their instructions and guidelines. Patience and persistence are key in resolving this issue, and seeking assistance from the platform's support team is often the best course of action.

Learn more about persistence here

https://brainly.com/question/13335765

#SPJ11

The coins are made of option (D) gold (19,300 kg/m^3).

To determine the metal of the coins, we need to find their density, which is the amount of mass per unit volume of the material.

The total mass of the coins is given as 4825 kg, and the volume of the chest is given as 0.25 m^3. Therefore, we can find the density of the coins by dividing the mass of the coins by the volume of the chest.

In this case, the density of the coins is calculated as follows

Density = Mass / Volume

Density = 4825 kg / 0.25 m^3

Density = 19300 kg/m^3

Therefore, the correct option is (D) gold (19,300 kg/m^3)

Learn more about Density here

brainly.com/question/29775886

#SPJ4

The given question is incomplete, the complete question is:

Cassandra finds a treasure chest packed with metallic coins. The chest has a volume of 0.25m^3. The coins have a combined mass of 4825 kg. Hoping to find gold she calculates the density to determine the metal of the coins.what kind of metal are the coins made of ?

A)bronze (8700kg/m^3)

B)silver(10,500 kg/m^3)

C)lead (11,300kg/m^3)

D)gold (19,300kg/m^3)

Answer:

can I have a cause for me and I can do that the next day or

Answer:

8/27

Step-by-step explanation:

\( \huge \bigg( \frac{2}{3} \bigg)^{3 } = \frac{ {2}^{3} }{ {3}^{3} } = \frac{8}{27} \\ \)

Answer:X = 13

Step-by-step explanation:

An exterior angle is equal to the sum of the two opposite interior angle

⇒95=4x+3 + 3x+ 1

95=4x + 3x + 3 + 1

95=7x + 4

95-4=7x

91=7x

91/7=x

13=x

This implies that X= 13

Answer:

so67 =9

Step-by-step explanation:

Answer:

with what

Step-by-step explanation:

theres no picture or question

Answer:

mk

Step-by-step explanation:

you have been helped

The exact circumference of the circle with radius 17 millimeters is 34π   millimeters , the correct option is (b) .

In the question ,

it is given that ,

the radius of the circle is given as = 17 millimeter

we have to find the exact circumference of the circle,

we know that the formula to find circumference of the circle is ;

circumference = 2×π×r

Substituting the value of radius in the circumference formula ,

we get ;

circumference = 2×π×17

Simplifying  further ,

we get ,

= 34π

Therefore , the exact circumference of the circle is = 34π .

The given question is incomplete the complete question is

What is the exact circumference of a circle with a radius of 17 millimeters ?

(a) 17π millimeters

(b) 34π millimeters

(c) 68π millimeters

(d) 8.5π millimeters

Learn more about Circumference here

https://brainly.com/question/28867662

#SPJ4

Answer:

Step-by-step explanation:

Using a scale that has increments that are somewhat large, you could get an error if you reach half of the measuring unit. This is because when you arrive at a measurement greater than half of the measuring unit, you would have to round it up. Therefore, the greatest possible error when measuring to the nearest quarter of an inch is 1/8 inch

Answer: 51

Step-by-step explanation:

We will use the Order of Operations, sometimes known as PEMDAS.

    Given:

5x² - x + 9

    Plug in the value of 3:

5(3)² - (3) + 9

    To the power of 2:

5(9) - 3 + 9

    Multiply:

45 - 3 + 9

   Subtract:

42 + 9

    Add:

51

The average study time of students is greater than 6.5 hours per week, at a significance level of 0.05.

What is the average?

This is the arithmetic mean and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.

To test the claim that students on average spend more than 6.5 hours studying, we can use a one-sample t-test.

The null hypothesis is that the mean study time is equal to 6.5 hours:

H0: μ = 6.5

The alternative hypothesis is that the mean study time is greater than 6.5 hours:

Ha: μ > 6.5

We can calculate the test statistic using the formula:

t = (x - μ) / (s / √n)

where x is the sample mean, μ is the hypothesized population mean (6.5), s is the sample standard deviation, and n is the sample size.

Plugging in the values given in the problem, we get:

t = (7.2 - 6.5) / (2.8 / √120) = 3.18

Using a t-table with 119 degrees of freedom (df = n - 1), and a significance level of 0.05, the critical t-value for a one-tailed test (since we are testing for the mean being greater than 6.5) is 1.66.

Since our calculated t-value (3.18) is greater than the critical t-value (1.66), we can reject the null hypothesis.

Therefore, we have sufficient evidence to conclude that the average study time of students is greater than 6.5 hours per week, at a significance level of 0.05.

To learn more about the average visit:

https://brainly.com/question/20118982

#SPJ4