Question #171413

Compound amount


accumulate 300,000 for eight years at 7% compounded quarterly. How much is the interest?



1
Expert's answer
2021-03-18T06:00:53-0400
A=P(1+rn)n(t)A=P(1+\dfrac{r}{n})^{n(t)}

I=API=A-P

Given

A=300,000A=300,000

r=0.07r=0.07

n=4n=4

t=8t=8


P=A(1+rn)n(t)P=\dfrac{A}{(1+\dfrac{r}{n})^{n(t)}}

I=AA(1+rn)n(t)I=A-\dfrac{A}{(1+\dfrac{r}{n})^{n(t)}}

I=300000300000(1+0.074)4(8)=127805.26I=300000-\dfrac{300000}{(1+\dfrac{0.07}{4})^{4(8)}}=127805.26



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