Does anybody know how to do this stuff

Ashley deposits $10 000 at the end of each month for 6 times at rate of 5% compounded monthly. How much will be in her account

xz_007 [3.2K]

The future values of Ashley's periodic deposits under the five scenarios are stated in the deposit table as follows:

<h3>Deposit Table:</h3>

Item Initial Periodic Deposit Interest Future Value Interest

Deposit Deposit Period Rate ($)

a. $10,000 $10,000 6 months 5% $61,774.51 $1,774.51

b. $10,000 $10,000 3 months 5% $30,502.78 $502.78

c. $10,000 $10,000 6 months 5% $51,774.51 $1,522.42

d. $20,000 $10,000 6 months 5% $72,201.71 $2,201.71

e. $10,000 $10,000 6 months 5%/6% $60,803.78 $803.78

<h3>What is the future value?</h3>

The future value of a periodic investment represents the present value of cash flows compounded at an interest rate into the future.

The future value is computed using the FV formula or factor.

It can also be computed using an online finance calculator as follows:

<h3>Data and Calculations:</h3>

Periodic Deposit = $10,000

Investment period = 6 months

Interest rate = 5% compounded monthly

<h3>a) for illustration:</h3>

N (# of periods) = 6 months

I/Y (Interest per year) = 5%

PV (Present Value) = $0

PMT (Periodic Payment) = $10,000

<u>Results</u>:

FV = $61,774.51

Sum of all periodic payments = $60,000 ($10,000 x 6)

Total Interest = $1,774.51

<h3>Other Special Cases:</h3>

c) Interest on $10,000 for 3 months is $1,522.42 ($1,774.51 - $252.09).

d) Future Value Interest

5% with $20,000 $82,285.04 $2,285.04

5% with $10,000 (10,083.33) (83.33)

Total for 6 months $72,201.71 $2,201.71

e) Future Value Interest

5% for 3 months $30,502.78 $502.78

6% for 3 months $30,301.00 $301.00

Total for 6 months $60,803.78 $803.78

Learn more about the computation of future values at brainly.com/question/24703884 and brainly.com/question/12979998

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Graph the function h(x) = -x + 6

kobusy [5.1K]

Hope this answers your question :)

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Which description can represent the surface area of this trunk

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Answer:

It's B.

Step-by-step explanation:

A trunk has six faces . The total surface area will be the sum of the areas of these faces.

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What is the remainder of 5x^2 - 3x - 36 divided by x - 3

lidiya [134]

Answer:

5x^-3x-36/x-3

Step-by-step explanation:

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3 years ago

The U.S. and many other countries have recently tightened airport security. A sociologist is interested in estimating the propor

melisa1 [442]

Answer:

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

Step-by-step explanation:

Conduct a test to determine whether the true proportion of interest is higher than 0.7.

This means that the null hypothesis is: $H_{0}: p = 0.7$

And the alternate hypothesis is: $H_{a}: p > 0.7$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that $\mu = 0.7, \sigma = \sqrt{0.7*0.3}$

The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.

This means that $n = 500, X = \frac{375}{500} = 0.75$

Value of the z-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.75 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{350}}}$

$z = 2.44$

P-value of the test:

Probability of z being larger than 2.44, that is, a proportion larger than 0.75.

This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S

Z = 2.44 has a pvalue of 0.9927

1 - 0.9927 = 0.0073

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

8 0

3 years ago