Juan and Bonnie deposit 7,566.00 into a savings account which earns 2% interest compounded monthly. They want to use the money in the account to go on a trip in 2 years. How much will they be able to spend?

Solution

J u an an d B o nni e d e p os i t 7, 566.00 in t o a s a v in g s a cco u n t w hi c h e a r n s 2% in t eres t co m p o u n d e d m o n t h l y . T h ey w an t t o u se t h e m o n ey in t h e a cco u n t t o g o o n a t r i p in 2 ye a rs . Ho w m u c h w i ll t h ey b e ab l e t o s p e n d ?

Amount : 7874.51

Solution steps

Translate the problem into an equation:

A = 7566 (1 + \frac{0.02}{12})^{12 \cdot 2}

7566 (1 + \frac{0.02}{12})^{12 \cdot 2} = 7874.51212 \dots

Round to the nearest hundredth:

7874.51

Amount : 7874.51