Ellen opened a savings account and deposited 800.00. The account earns 7% interest, compounded continuously. If she wants to use the money to buy a new bicycle in 3 years, how much will she be able to spend on the bike?

Solution

Ell e n 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 800.00. T h e a cco u n t e a r n s 7% in t eres t, co m p o u n d e d co n t in u o u s l y . I f s 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 3 ye a rs, h o w m u c h w i ll s h e b e ab l e t o s p e n d o n t h e bik e ?

Amount : 986.94

Solution steps

Translate the problem into an equation:

A = 800 e^{0.07 \cdot 3}

800 e^{0.07 \cdot 3} = 986.94244 \dots

Round to the nearest hundredth:

986.94

Amount : 986.94