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Popular Word Problems >

Tara is saving up money to buy a car. Tara puts 8,000.00 into an account which earns 12% interest, compounded quarterly. How much will she have in the account after 4 years?

Solution

T a r a i s s a v in g u p m o n ey t o b u y a c a r . T a r a p u t s 8, 000.00 in t o an a cco u n t w hi c h e a r n s 12% in t eres t, co m p o u n d e d q u a r t er l y . Ho w m u c h w i ll s h e ha v e in t h e a cco u n t a f t er 4 ye a rs ?

Solution

Amount : 12837.65

Solution steps

Translate the problem into an equation:

A = 8000 (1 + \frac{0.12}{4})^{4 \cdot 4}

8000 (1 + \frac{0.12}{4})^{4 \cdot 4} = 12837.65151 \dots

Round to the nearest hundredth:

12837.65

Amount : 12837.65

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