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serious [3.7K]
3 years ago
10

Find the amount of compound interest earned with a principal rate of $925, rate of 6%, compounded quarterly, for 8 years with a

final amount of $1489.55
Mathematics
1 answer:
maxonik [38]3 years ago
5 0

Answer:

$564.55

Step-by-step explanation:

#First, we determine the effective annual interest applicable given a 6% rate compounded quarterly:

i_m=(1+i/m)^m-1\\\\=(1+0.06/4)^4-1\\\\=0.06136

We know that interest earned is equal to the accumulated value minus the initial investment amount or principal.

-Given the final value is $1489.55 and the initial amount is $925, the interest earned is calculated as;

I=A-P\\\\=1489.55-925\\\\=564.55

Hence, the amount of interest earned is $564.55

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