Sophia earned some money doing odd jobs last summer and put it in a savings account that earns 9% interest compounded annually. After 3 years, there is 300.00 in the account. How much did Sophia earn doing odd jobs?

Solution

S o p hia e a r n e d so m e m o n ey d o in g o dd j o b s l a s t s u mm er an d p u t i t in a s a v in g s a cco u n t t ha t e a r n s 9% in t eres t co m p o u n d e d ann u a ll y . A f t er 3 ye a rs, t h ere i s 300.00 in t h e a cco u n t . Ho w m u c h d i d S o p hia e a r n d o in g o dd j o b s ?

Principal : 231.66

Solution steps

Translate the problem into an equation:

300 = P (1 + \frac{0.09}{1})^{1 \cdot 3}

Solve for

P, 300 = P (1 + \frac{0.09}{1})^{1 \cdot 3} : P = 231.66

Principal : 231.66