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jeka94
3 years ago
15

Your parents want to place money in an account so that you can withdraw $200 a week for the next four years while you finish col

lege and graduate school. If they place the money in an account that earns 4% interest, compounded weekly, how much do they need to place in the account so that the funds will be depleted in four years? (Assume that you will make the first withdrawal one week from today.)
Business
1 answer:
professor190 [17]3 years ago
4 0

Answer:

The answer is: $38,429

Explanation:

You need to withdraw 208 payments (52 weeks x 4 years)

Each payment is $200

Discount interest is 0.0769% (4% yearly interest / 52 weeks)

So the present value of the cash flow is: PV = $38,429

The best way to calculate the PV is to use an excel spreadsheet and the NPV formula:

=PV(0.0769%,L1:L208) where L1 to L208 all equal 200

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nirvana33 [79]

An opportunity fee of the metropolis of Alpharetta's choice to construct the gateway and green way tasks: adopted in 2015, the plan proposes a series of small parks and inexperienced spaces that connect to each different, and could help make Downtown Alpharetta amusing.

Alpharetta is a town placed in northern Fulton County, Georgia, USA, and is part of the Atlanta metropolitan region. As of the 2010 census, Alpharetta's populace became 57,551. The populace in 2020 became 65,818. Alpharetta is a colorful Southern city with a great nice of lifestyles, making it a super region to live, paint and visit.

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8 0
1 year ago
On June 8, Alton Co. issued an $88,500, 7%, 120-day note payable to Seller Co. Assume that the fiscal year of Seller Co. ends Ju
Furkat [3]

Answer:

Amount of interest revenue recognized =\frac{2065\times 98}{120}=$1686.41

Explanation:

Principal amount P = $88500

Rate of interest r = 7 %

Total number of days = 120

So interest =\frac{principal\ amount\times rate\times time}{100}=\frac{88500\times 7\times 120}{360\times 100}=$2065

Number of days from 8 june to 30 june = 30-8 = 22 days

So left days = 120-22 = 98 days

So amount of interest revenue recognized =\frac{2065\times 98}{120}=$1686.41

3 0
3 years ago
The admissions director at big city university proposed using the iq scores of current students as a marketing tool. the univers
Vika [28.1K]

The complete question is as follows:

The admission directory of Big City University has a novel idea. He proposed using the IQ scores of current students as a marketing tool. The university agrees to provide him with enough money to administer IQ tests to 50 students. So the director gives the IQ test to an SRS of 50 of the university’s 5000 freshman. The mean IQ score for the sample is xbar=112. The IQ test he administered is known to have a σ of 15. What is the 95% Confidence Interval about the mean? What can the director say about the mean score of the population of all 5000 freshman?

Answer: The 95% confidence interval about the mean is Confidence interval = 107.84 \leq \mu \leq 116.16.

The director can say that he is 95% confident that the mean IQ score of the 5000 freshmen lies between 107.84 and 116.16.

We follow these steps to arrive at the answer:

Since the population standard deviation of the IQ test is known, we can use the Z scores to find the confidence interval.

The formula for the confidence interval about the mean is:

Confidence interval = \overline{X}\pm Z*\frac{\sigma}{\sqrt{n}}

In the equation above, X bar is known as the point estimate and the second term is known as Margin of Error.

The Critical Value of Z at the 95% confidence level is 1.96.

Substituting the values in the question in the equation above we have,

Confidence interval = \112\pm 1.96*\frac{15}{\sqrt{50}}

Confidence interval = \112\pm 4.157787873}

Confidence interval = 107.8422121 \leq \mu \leq 116.1577879

5 0
3 years ago
Company X has beta = 1.6, while Company Y's beta = 0.7. The risk-free rate is 7%, and the required rate of return on an average
Kaylis [27]

Answer:

a. 5.40%

Explanation:

First, I will calculate the new cost of equity for both stock X and Y:

Required rate of return = risk free rate + (beta x market premium)

Re stock X = 8% + (1.6 x 6%) = 8% + 9.6% = 17.6%

Re stock Y = 8%  + (0.7 x 6%) = 8% + 4.2% = 12.2%

The difference between the required rate of return = 17.6% - 12.2% = 5.4%

4 0
3 years ago
A tire without good traction has less _____.
zavuch27 [327]

Answer:

A tire without good traction has less grip on the road.

Explanation:

during inclement weather, especially snow and ice, even if properly inflated, the tire will spin but not move forward & driver will not have control over the vehicle, causing the vehicle to slip sideways into (other traffic, over the side of the road, possibly falling over a steep decent).

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3 0
3 years ago
Read 2 more answers
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