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Popular Word Problems >

an amount of 17000 is borrowed for 14 years at 5.75% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back

Solution

implicit derivative

am o u n t o f 17000 i s b orro w e d f or 14 ye a rs a t 5.75% in t eres t, co m p o u n d e d ann u a ll y . I f t h e l o an i s p ai d in f u ll a t t h e e n d o f t ha t p er i o d, h o w m u c h m u s t b e p ai d ba c k

Solution

Amount : 37185.55

Solution steps

Translate the problem into an equation:

A = 17000 (1 + \frac{0.0575}{1})^{1 \cdot 14}

17000 (1 + \frac{0.0575}{1})^{1 \cdot 14} = 37185.54800 \dots

Round to the nearest hundredth:

37185.55

Amount : 37185.55

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