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Popular Word Problems >

A person invests 9500 dollars in a bank. The bank pays 5.75% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 22600 dollars?

Solution

A p erso n in v es t s 9500 d o ll a rs in a bank . T h e bank p a ys 5.75% in t eres t co m p o u n d e d ann u a ll y . T o t h e n e a res t t e n t h o f a ye a r, h o w l o n g m u s t t h e p erso n l e a v e t h e m o n ey in t h e bank u n t i l i t re a c h es 22600 d o ll a rs ?

Solution

Time : 15.5

Solution steps

Translate the problem into an equation:

22600 = 9500 (1 + \frac{0.0575}{1})^{1 \cdot t}

Solve for

t, 22600 = 9500 (1 + \frac{0.0575}{1})^{1 \cdot t} : t = 15.5

Time : 15.5

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