Joel opened a savings account and deposited 2,411.00. The account earns 4% interest, compounded monthly. If he wants to use the money to buy a new bicycle in 2 years, how much will he be able to spend on the bike?

الحلّ

J oe l o p e n e d a s a v in g s a cco u n t an d d e p os i t e d 2, 411.00. T h e a cco u n t e a r n s 4% in t eres t, co m p o u n d e d m o n t h l y . I f h e w an t s t o u se t h e m o n ey t o b u y a n e w bi cyc l e in 2 ye a rs, h o w m u c h w i ll h e b e ab l e t o s p e n d o n t h e bik e ?

Amount : 2611.46

خطوات الحلّ

Translate the problem into an equation:

A = 2411 (1 + \frac{0.04}{12})^{12 \cdot 2}

2411 (1 + \frac{0.04}{12})^{12 \cdot 2} = 2611.45767 \dots

Round to the nearest hundredth:

2611.46

Amount : 2611.46