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erastovalidia [21]
3 years ago
7

Suppose you invest $3,500 in a savings account that earns 7% Interest, compounded

Mathematics
1 answer:
prohojiy [21]3 years ago
8 0

Given:

Principal = $3,500

Rate of interest = 7% compounded quarterly (4 times in an year)

Time = 6 years

To find:

The amount.

Solution:

The formula for the amount is

A=P\left(1+\dfrac{r}{n}\right)^{nt}

Where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.

Putting P=3500, r=0.07, n=4 and t=6 in the above formula, we get

A=3500\left(1+\dfrac{0.07}{4}\right)^{(4)(6)}

A=3500\left(1+0.0175\right)^{24}

A=3500\left(1.0175\right)^{24}

A=5307.54975

A\approx 5307.55

Therefore, the amount after 6 years is $5307.55.

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