(a) For annual compounding, n = 1 and t = 5, so we have:
A = 34600(1 + 0.08/1)^(1*5) = $50,230.53
(b) For semiannual compounding, n = 2 and t = 5, so we have:
A = 34600(1 + 0.08/2)^(2*5) = $51,373.38
(c) For monthly compounding, n = 12 and t = 5, so we have:
A = 34600(1 + 0.08/12)^(12*5) = $51,998.51
(d) For daily compounding, n = 365 and t = 5, so we have:
A = 34600(1 + 0.08/365)^(365*5) = $52,169.16
Therefore, the value of the investment at the end of 5 years for annual compounding is $50,230.53, for semiannual compounding is $51,373.38, for monthly compounding is $51,998.51, and for daily compounding is $52,169.16 (to the nearest cent).
To solve this problem, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
where A is the final amount, P is the principal (initial investment), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the number of years.
To calculate the future value of an investment with different compounding methods, we use the formula:
Future Value = Principal * (1 + (Interest Rate / Number of Compounding Periods))^(Number of Compounding Periods * Number of Years)
Here, the principal is $34,600, the interest rate is 8% (0.08), and the investment period is 5 years.
(a) Annual compounding:
Number of Compounding Periods = 1
Future Value = 34600 * (1 + (0.08 / 1))^(1 * 5) = $50,313.41
(b) Semiannual compounding:
Number of Compounding Periods = 2
Future Value = 34600 * (1 + (0.08 / 2))^(2 * 5) = $51,225.17
(c) Monthly compounding:
Number of Compounding Periods = 12
Future Value = 34600 * (1 + (0.08 / 12))^(12 * 5) = $51,665.41
(d) Daily compounding:
Number of Compounding Periods = 365
Future Value = 34600 * (1 + (0.08 / 365))^(365 * 5) = $51,718.27
Your answer:
(a) Annual: $50,313.41
(b) Semiannual: $51,225.17
(c) Monthly: $51,665.41
(d) Daily: $51,718.27
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HELPPP THIS IS TIMEDD I NEED A STEO BY STEPP
Answer:
Why do you need a step by step
Step-by-step explanation:
When the demand curve is vertical the demand?
A demand that is completely inelastic is one in which a change in price has no impact on the quantity demanded. The demand curve in this situation is vertical, and there is no demand elasticity.
What is demand curve?A demand curve in economics is a graph showing the relationship between the price of a specific good (the y-axis) and the amount of that good that is desired at that price (the x-axis). Demand curves can be applied to both the price-quantity relationship for a single consumer (an individual demand curve) and for all consumers in a specific market.
Demand curves are typically thought to slope downward, as the adjacent image illustrates. This is due to the law of demand, which states that for the majority of goods, the quantity demanded decreases as the price increases. This law does not apply in some peculiar circumstances. These include Veblen goods, Giffen goods, and speculative bubbles, in which consumers are drawn to a commodity if its price increases.
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Shani borrowed $5000 at an annual interest rate of 4% compounded yearly. William borrowed the same amount of money at an annual interest rate of 6% compounded yearly. How much more interest will William pay than Shani at the end of 3 years?
Answer: William will pay $ 330.76 more interest than Shani at the end of 3 years.
Step-by-step explanation:
Compound interest = \(P((1+r)^t-1)\) , P= principal , r= rate of interest , t= time
Given: P = $5000 , t= 3 years
For Shani , r= 4% = 0.04
Compound interest = \(5000((1+0.04)^3-1)\)
\(=5000(1.124864-1)\\\\=5000(0.124864)\\\\=\$\ 624.32\)
For William, r= 6%= 0.06
Compound interest = \(5000((1+0.06)^3-1)\)
\(=5000(1.191016-1)\\\\=5000(0.191016)\\\\=\$\ 955.08\)
Difference = $ ( 955.08- 624.32)
= $ 330.76
Hence, William will pay $ 330.76 more interest than Shani at the end of 3 years.
plzzz help me ..............
Answer:
16
Step-by-step explanation:
4+16=20
Where does the line y=-4+9 cross the y-axis?
1. At y=9
2.At x=9
3.At y=-4
4.at x=-4
A pharmacy wants to survey its customers to find out which brand of toothpaste they prefer.
Which survey methods are likely to be biased?
Survey methods A, C, and D are likely to introduce bias in determining customers' preferred toothpaste brand. Option A, C and D
When considering potential biases in survey methods for determining customers' preferred toothpaste brand, there are a few options that could introduce bias. Let's analyze each method individually:
A) A survey is sent to the customers who are on the pharmacy's frequent buyer list.
This method is likely to introduce bias because it only targets customers who are already on the frequent buyer list. This group of customers may not be representative of the entire customer base, as they could have specific preferences or purchasing behaviors that differ from the general population.
C) Three customers who buy toothpaste with a coupon are selected, and the toothpaste brand they purchased is recorded.
This method is also prone to bias. By selecting customers who purchased toothpaste with a coupon, the survey is limited to a specific subgroup of customers.
This subgroup might have different preferences and motivations for purchasing toothpaste compared to the general population. The presence of a coupon could influence their purchasing decisions, making them more likely to choose a particular brand.
D) Every 10th customer who enters the pharmacy on 1 day is selected and asked.
This sampling method is known as systematic sampling. While it might seem unbiased, it could introduce bias if there are any patterns in customer behavior.
B) One hundred people from the pharmacy's customer list are selected at random, called on the phone, and asked.
This method, known as random sampling, is generally considered one of the least biased survey methods. By randomly selecting customers from the pharmacy's customer list and conducting phone interviews, it provides an opportunity to obtain a more representative sample of the customer base and their preferences. Option A, C and D
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i just need an answer pls
The area of the regular octogon is 196.15 square inches.
How to find the area?For a regular octogon with apothem A and side length L, the area is given by:
area =(2*A*L) * (1 + √2)
Here we know that:
A = 7in
L = 5.8 in
Replacing these values in the area for the formula, we will get the area:
area = (2*7in*5.8in) * (1 + √2)
area = 196.15 in²
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what is the slope if a line passes through the points (28,86) and (34,83)
Answer:
The slope is -0.5 or -1/2
Step-by-step explanation:
the slope of a line is easily calculated by hand using small, whole number coordinates. The formula becomes increasingly useful as the coordinates take on larger values or decimal values.
It is worth mentioning that any horizontal line has a gradient of zero because a horizontal line has the same y-coordinates. This will result in a zero in the numerator of the slope formula. On the other hand, a vertical line will have an undefined slope since the x-coordinates will always be the same. This will result the division by zero error when using the formula.
If a fuel efficient car can go 210 miles on 4 gallons of fuel, how far can it travel on 12 gallons?
A fuel efficient car that can go 210 miles on 4 gallons of fuel can travel 630 miles on 12 gallons of fuel.
To determine how far the car can travel on 12 gallons of fuel, we can use a proportion based on the information given. The ratio of distance to fuel consumption remains constant. We can set up the proportion as follows:
(210 miles) / (4 gallons) = (x miles) / (12 gallons)
To solve for x, we can cross-multiply and then divide:
4x = 210 * 12
4x = 2520
x = 630
Therefore, the car can travel 630 miles on 12 gallons of fuel. This calculation assumes that the car's fuel efficiency remains constant and does not take into account factors such as driving conditions or variations in fuel consumption due to factors like terrain or speed.
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Please help me with my work I’ll give Brainlest
Answer:
I believe it's a^2 * b^2 = c^2
Step-by-step explanation:
a^2 * 9^2 = 15^2
hope this helps! :)
Please answer correctly !!!!!!!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!!
Answer:
-1/2
2x+1=?
subtract 1
2x+1-1=-1
divide by 2
x/2=-1/2
x=-1/2
I hope this is good enough:
∆QRS≅∆TUV
Name the angle or side that corresponds to with
Answer:
∠T
Step-by-step explanation:
∠T is the angle or side that corresponds to with
The average lifetime of smoke detectors that a company manufactures is 5 years, or 60 months, and the standard deviation is 9 months. Find the probability that a random sample of 31 smoke detectors will have a mean lifetime between 57 and 62 months. Assume that the sample is taken from a large population and the correction factor can be ignored. Round the final answer to four decimal places and intermediate : value calculations to two decimal places. P (57 < X < 62) = ___
Answer:
Step-by-step explanation:
credits to numerade
Thell me the answer 5x=25 what is x
Answer:
5x=25
25/5=5
Therefor x =5
Step-by-step explanation:
Answer:
x=5
Step-by-step explanation:
5x=25
Divide the 5 on both sides.
and you're left with x=5.
Find the partial derivatives fx and fy of the function f(x,y). The variables are restricted to a domain on which the function is defined.f(x,y)= 13x^2y³ 4xy^2 – 6x^2.fx(x,y)=fy(x,y)=
Answer:
3x-y) (2x+5y) b. 12z3-6z²+18z. 6z(2z²-z+3) d. 612-1-2. (3+-2)(2++1) f. 6x²-17x+10 ... 5x²-15x+2= x²+10x-4. 4x²-25x+6=0. (4x-1)(x-6)=0 x= = x=6 x={=,65. 2.
Step-by-step explanation:
thats awnser ...
A line passes through the point (2,-1) and has a slope of 8. Find
the equation of the line.
pleaseeeee help
Answer:
\(y= 8x - 17\)
Step-by-step explanation:
to find the y-intercept plug 8 and (2, -1) into \(y=mx +b\)
\(y= mx+b\)
\(-1= 8(2)+b\)
\(-1= 16+b\\ -16= -16\)
\(-17=b\)
Simplify The Sums Below. (A) ∑N=0241x2 (B) ∑N=−[infinity][infinity]X(M)⋅Y(N)
A. The simplified sum is 241x^2.
B. The sum simplifies to:
∑N=−∞^∞ X(M)⋅Y(N) = X(M)⋅Y(0)
The simplified sum is X(M)⋅Y(0).
(A) ∑N=0^241 x^2:
To simplify this sum, we need to evaluate the expression x^2 for each value of N from 0 to 241 and sum up the results.
∑N=0^241 x^2 = x^2 + x^2 + x^2 + ... + x^2 (241 terms)
Since x^2 is constant for each term, we can simply multiply x^2 by the number of terms, which in this case is 241:
∑N=0^241 x^2 = 241 * x^2
Therefore, the simplified sum is 241x^2.
(B) ∑N=−∞^∞ X(M)⋅Y(N):
This sum represents an infinite series where X(M) and Y(N) are the terms being multiplied.
Since the range of N is from negative infinity to positive infinity, we can observe that for every term X(M)⋅Y(N) with a positive N, there will be a corresponding term with a negative N that cancels it out due to the multiplication.
Therefore, the sum simplifies to:
∑N=−∞^∞ X(M)⋅Y(N) = X(M)⋅Y(0)
The simplified sum is X(M)⋅Y(0).
Note that this simplification assumes that X(M) and Y(N) are well-defined functions that do not depend on the specific value of N.
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PLEASE HELP !!
An advertising company charges $100 each time an advertisement is shown. It costs $200 to create the
advertisement. The cost to create the advertisement and show it x times is given by the function
C(x) = 100x+ 200.
Answer:
30
Step-by-step explanation:
1 plus 2 is 6 x 2 plus 5
Answer:
3
Step-by-step explanation:
500=100×+200
500-200=100×
300=100×
300/100=×
3=×
The markup for an end table is $13. If the store's cost is $52, what is the markup rate?
Answer:3
Step-by-step explanation:
Ok listen I don't know if this is right and if it is not I am sorry so if it is let me know please. And if it's wrong let me know. Thank you.
A salesperson receives 30% commission on the total sales they make in a year How much commission do they make with $350,000 in sales?
Answer:
105,000
Step-by-step explanation:
Hope this helps
Can anyone give me some horro and romance anime to watch?
Answer:
Haha....sure
Step-by-step explanation:
Quintessential Quintuplets
My Teen Romance Comedy
Kaguya sama Love is War
Rent a Gf
Rascal Does Not Dream of Bunny Girl
Your lie in April
(All romance btw)
the concept of hedonistic calculus is associated with
The concept of hedonistic calculus is associated with utilitarianism and the philosophy of maximizing pleasure and minimizing pain. It is a method for calculating the overall happiness or utility of actions based on the intensity, duration, certainty, propinquity, fecundity, purity, and extent of pleasure or pain they produce.
Hedonistic calculus is a term coined by the philosopher Jeremy Bentham, who was a proponent of utilitarianism. Utilitarianism is an ethical theory that states that the right action is the one that maximizes overall happiness or utility for the greatest number of people. The goal of hedonistic calculus is to measure and compare the happiness or pleasure derived from different actions or situations.
According to Bentham, pleasure and pain are the only relevant factors in determining the moral value of an action. Hedonistic calculus involves quantifying these pleasures and pains in order to assess their overall impact. Bentham proposed seven criteria to evaluate the intensity, duration, certainty, propinquity (nearness in time), fecundity (likelihood of leading to more pleasure or pain), purity (absence of pain mixed with pleasure), and extent of the pleasure or pain produced by an action.
By assigning values to each of these criteria, hedonistic calculus aims to determine the net amount of happiness or utility generated by a particular action or decision. The idea is to maximize pleasure and minimize pain, with the ultimate goal of promoting the greatest happiness for the greatest number of individuals.
Overall, hedonistic calculus provides a systematic approach to assess and compare the consequences of actions based on their impact on pleasure and pain. It serves as a framework for utilitarians to make ethical judgments and decisions by considering the net balance of happiness produced by different choices.
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How do you use equations to help solve problems involving the area of rectangles, parallelograms, trapezoids, and triangles?
Depending on the type of figure given, the respective formula of parallelogram, trapezoid, triangle or rectangle is used to solve such problems.
Hiiii can anyone help me with this question? Once you find the answer can you explain it? I’ll mark u brainlist if u do, I’m just confused
Question 12 of 15
Solve: 8+=(x-4) - 1
A. x = -24
B. There are infinitely many solutions.
C. x = 40
D. x=-40
the solution of the system of equation where x = -40.
What is a System of Equations?
A system of equations in algebra is made up of two or more equations that are solved together. "A group of equations satisfied by the same set of variables are called a system of linear equations. Finding the values of the variables employed in the system of equations is the first step towards solving it. While maintaining the balance of the equations on both sides, we compute the values of the unknown variables. Finding a variable whose value makes the condition of all the given equations true is the primary goal of solving an equation system.
8+x/2 =1/4(x-4) - 1
⇒8+x/2 = x/4 -1 -1
⇒x/2-x/4 = -10
⇒x/4 = -10
⇒x = -40
Hence the solution of the system of equation where x = -40.
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– 0.2× – 5÷( – 1– – 0.5)
Answer:
Step-by-step explanation:
35
Solve the following equation. x2 - 6x +9= 16
Answer:
x= 7, -1
Step-by-step explanation:
Carl's company charges $55 for monthly service plus $4 for each pay-per-view movie.
Teleview cable company charges $110 per month with no fee for movies.
For what number of movies is the cost of carl's cable company less than the cost of Teleview?
Carl's cable company is cheaper than Teleview. For 14 or more movies, teleview is cheaper than Carl's cable company.
by the question.
Let's represent the number of movies by the variable "x".
The cost of Carl's cable company is given by:
C(x) = 55 + 4x
The cost of Teleview cable company is given by:
T(x) = 110
We want to find the number of movies for which Carl's cable company is cheaper than teleview. In other words, we want to find x such that:
C(x) < T(x)
Substituting the expressions for C(x) and T(x), we get:
55 + 4x < 110
Subtracting 55 from both sides, we get:
4x < 55
Dividing both sides by 4, we get:
x < 13.75
Since the number of movies has to be a whole number, the largest number of movies for which Carl's cable company is cheaper than teleview is 13.
For 13 or fewer movies,
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What is the slope of (0,-1) and (5,-5)
an opaque bag contains 10 yellow marbles and 18 teal marbles. if two marbles are randomly chosen from the bag at the same time, find the probability that both marbles are teal. round your answer to four decimal places.
For a bag with total 28 marbles ( 10 - yellow , 18- teal). The probability that both randomly chosen marbles are teal is equals to the 2.4706.
We have a opaque bag which contains a number of marbles.
Number of yellow marbles in bag = 10
number of teal marbles in a bag = 18
Total number of marbles in a bag
= 10 + 18 = 28
Randomly, two marbles are chosen from the bag at the same time. We have to determine the probability that both marbles are teal.Probability is used to measure the chances of occurrence of an event. It is calculated by dividing the favourable response or outcomes for event to the total possible outcomes. Let us consider an event E such that both choosen marbles are teal. Now, total possible outcomes = 28
Number of ways to draw 2 marbles from bag = ²⁸C₂ = 27 × 14
= 378
Number of ways to draw 2 teal marbles from bag = ¹⁸C₂
= 9× 17 = 153
The probability that both marbles are teal, P(E) = 153/378 = 2.470588
Hence, required probability is 2.4706.
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