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3 years ago

7

Macy deposited $25,000 in a money market account earning 2.5% interest, compounded semiannually. What is Macy's return on this i

nvestment after four years?

2 answers:

Naddik [55]3 years ago

8 0

25000+ 2500 = 27500

Irina-Kira [14]3 years ago

5 0

After 4 years the rate would have happened 4 times making the initial deposit increase 10%. 10% of 25000 is 2500. So 25000 plus 2500 is $27500.

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You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard devia

Arturiano [62]

Answer:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (3)

$n=(\frac{2.58(54.5)}{5})^2 =790.846 \approx 791$

So the answer for this case would be n=791 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that $z_{\alpha/2}=2.58$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (2)

And on this case we have that ME =+5 and we are interested in order to find the value of n, if we solve n from equation (2) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (3)

$n=(\frac{2.58(54.5)}{5})^2 =790.846 \approx 791$

So the answer for this case would be n=791 rounded up to the nearest integer

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2 years ago

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Answer:

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Step-by-step explanation:

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The slope: $m=\dfrac{y_2-y_1}{x_2-x_1}$

(-5, 0) ⇒ x₁ = -5, y₁ = 0

(0, -2) ⇒ x₂ = 0, y₂ = -2

So:

$m=\dfrac{-2-0}{0-(-5)}=-\dfrac25$

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It would be 45.72 cm by 55.88 cm because you have to multiply each dimension by 2.54 to get the exact measurement in centimeters.

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Read 2 more answers

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Alexxandr [17]

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