Brainliest + points! explain

what is the future value of the 10% savings from earnings of $187.45 if it earns 5% annual interest, compounded monthly for 30 years?

use the compound interest formula to estimate the present value.

a=p(1+r/n)^ nt

a.
$27.68

b.
$37.27

c.
$58.75

d.
$83.75

Option D.  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

substitute in the formula above  

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42