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Contact [7]
3 years ago
15

At an expected rate of return of 7% compounded semi-annually, what is the expected percentage growth of a portfolio after 4 year

s?
Mathematics
1 answer:
Marina86 [1]3 years ago
8 0

Answer:

The expected growth is 17.2%

Step-by-step explanation:

Let us have a present initial value of 500

we then proceed to get the value after 4 years

We use the compound interest formula to get the amount

That will be;

A = P( 1 + r/n)^nt

P = 500

r = 4% = 4/100 = 0.04

n is 2: semi annually means twice per year

t is 4

So

using the formula, we have that;

P = 500(1 + 0.04/2)^(2 * 4)

= 500(1.02)^8

= 586 approximately

So the percentage growth rate is as follows

(586-500)/500 * 100

= 86/500 * 100 = 17.2%

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givi [52]
<h2>Hello!</h2>

The answer is: There are a total of 16 skits in the video.

<h2>Why?</h2>

From the statement, we know that the total length of the video is 101 minutes and it contains a 5-minute introduction, the rest of the minutes are short skits (which are 6 minutes long each one).

So, we need to write the following equations:

First equation:

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101Minutes=5Minutes+n*6Minutes\\n*6Minutes=101Minutes-5Minutes\\n*6Minutes=96Minutes\\n=\frac{96Minutes}{6Minutes}=16

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Let's prove it substituting "n" into the first equation:

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