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4 years ago

An investment of 75,000 increases at a rate 12.5% per year. Find the value of the investment after 30 years.

2 answers:

5 0

For this case we have an equation of the form:
y = A * (b) ^ t
Where,
A: initial amount
b: growth rate
t: time
Substituting values we have:
y = 75000 * (1.125) ^ t
For 30 years we have:
y = 75000 * (1,125) ^ 30
y = 2568247.871
Rounding:
y = 2568248
Answer:
the value of the investment after 30 years is:
A. $ 2,568,248

enyata [817]4 years ago

4 0

Given that an investment of 75,000 increases at a rate 12.5% per year. Find the value of the investment after 30 years.
Solution
The value after 30 years will be given by
A=P(1+r/100)^n
where:
P=principple
r=rate
n=time
from the information:
P=75000, r=12.5%, n=time
thus plugging the values we obtain:
A=75000(1+12.5/100)^30
A=75000(1.125)^30
A=2,568,247.871

Answer: A. $2,568,248

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And rounded up we have that n=2663

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".

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Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$t_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58$

The margin of error for the proportion interval is given by this formula:

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And on this case we have that $ME =\pm 0.025$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

We can assume an estimated proportion of $\hat p =0.5$ since we don't have prior info provided. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{2.58})^2}=2662.56$

And rounded up we have that n=2663

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3 years ago

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Step-by-step explanation:

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2 years ago

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Answer:

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Step-by-step explanation:

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Hope you have understood this....

pls mark my answer as the brainliest

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