Keenan earned some money doing odd jobs last summer and put it in a savings account that earns 10% interest compounded monthly. After 10 years, there is 100.00 in the account. How much did Keenan earn doing odd jobs?Round your answer to the nearest cent.

Solution

Kee nan 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 10% in t eres t co m p o u n d e d m o n t h l y . A f t er 10 ye a rs, t h ere i s 100.00 in t h e a cco u n t . Ho w m u c h d i d Kee nan e a r n d o in g o dd j o b s ? R o u n d yo u r an s w er t o t h e n e a res t ce n t .

Principal : 36.94

Solution steps

Translate the problem into an equation:

100 = P (1 + \frac{0.1}{12})^{12 \cdot 10}

Solve for

P, 100 = P (1 + \frac{0.1}{12})^{12 \cdot 10} : P = 36.94

Principal : 36.94