The number of years is 4.781 in which $21,136.18 amount to $75,514.55 at 27.54% per annum when compounded quarterly and this can be determined by using the formula of the compound interest.

Given :

Principal amount = $21136.18
Final amount = $75514.55
Interest rate per annum = 27.54%
Compounded quaterly.

The formula of the compound interest is given by:

$\rm A= P(1+\dfrac{r}{n})^{nt}\\$

where A is the final amount, P is the principal amount, r is the interest rate, t is the time in years, and 'n' is a number of times interest applied.

Now, substitute the values of known terms in the above formula.

$\rm 75514.55= 21136.18(1+\dfrac{0.2754}{4})^{4\times t}\\$

$3.5727=(1.06885)^{4t}$

Now, take the log on both sides.

$\rm log(3.5727)=(4t)log(1.006885)$

19.1237 = 4t

t = 4.781 years

Therefore, the correct option is B).

For more information, refer to the link given below:

brainly.com/question/14295570

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3 years ago

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It takes Shelly about 25 min to walk to her grandmother’s house. She figured that she spent a total of 7 h and 30 min walking ba

pantera1 [17]

Convert the 7hrs and 30min into minutes which would be 450 minutes total. Now divide that by 25 which is 18.

So Shelly walked to her grandmother's house 18 times last month

5 0

3 years ago