Melanie invested 5,500 in an account paying an interest rate of 6.9% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 11 years?

Solution

M e l ani e in v es t e d 5, 500 in an a cco u n t p a y in g an in t eres t r a t e o f 6.9% 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 d o ll a r, w o u l d b e in t h e a cco u n t a f t er 11 ye a rs ?

Amount : 11748.76

Solution steps

Translate the problem into an equation:

A = 5500 e^{0.069 \cdot 11}

5500 e^{0.069 \cdot 11} = 11748.76457 \dots

Round to the nearest hundredth:

11748.76

Amount : 11748.76