A couple deposits 21,000 into an account earning 6% annual interest for 15 years. Calculate the future value of the investment if the interest is compounded weekly. Round your answer to the nearest cent.

Solution

A co u pl e d e p os i t s 21, 000 in t o an a cco u n t e a r nin g 6% ann u a l in t eres t f or 15 ye a rs . C a l c u l a t e t h e f u t u re v a l u e o f t h e in v es t m e n t i f t h e in t eres t i s co m p o u n d e d w ee k l y . 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 .

Amount : 51624.87

Solution steps

Translate the problem into an equation:

A = 21000 (1 + \frac{0.06}{52})^{52 \cdot 15}

21000 (1 + \frac{0.06}{52})^{52 \cdot 15} = 51624.87376 \dots

Round to the nearest hundredth:

51624.87

Amount : 51624.87