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Popular Word Problems >

Gabrielle opened a savings account 9 years ago. The account earns 13% interest, compounded quarterly. If the current balance is 500.00, how much did she deposit initially?

Solution

G ab r i e ll e o p e n e d a s a v in g s a cco u n t 9 ye a rs a g o . T h e a cco u n t e a r n s 13% in t eres t, co m p o u n d e d q u a r t er l y . I f t h e c u rre n t ba l an ce i s 500.00, h o w m u c h d i d s h e d e p os i t ini t ia ll y ?

Solution

Principal : 158.1

Solution steps

Translate the problem into an equation:

500 = P (1 + \frac{0.13}{4})^{4 \cdot 9}

Solve for

P, 500 = P (1 + \frac{0.13}{4})^{4 \cdot 9} : P = 158.1

Principal : 158.1

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