Samuel invested 53,000 in an account paying an interest rate of 6.7% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 17 years?

Solution

S am u e l in v es t e d 53, 000 in an a cco u n t p a y in g an in t eres t r a t e o f 6.7% co m p o u n d e d co n t in u o u s l y . A ss u min g n o d e p os i t s or w i t h d r a w a l s a re ma d e, h o w m u c h m o n ey, t o t h e n e a res t ce n t, w o u l d b e in t h e a cco u n t a f t er 17 ye a rs ?

Amount : 165553.09

Solution steps

Translate the problem into an equation:

A = 53000 e^{0.067 \cdot 17}

53000 e^{0.067 \cdot 17} = 165553.08746 \dots

Round to the nearest hundredth:

165553.09

Amount : 165553.09