Logan invested 180 in an account paying an interest rate of 2.6% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 12 years?

Solution

L o g an in v es t e d 180 in an a cco u n t p a y in g an in t eres t r a t e o f 2.6% 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 t e n d o ll a rs, w o u l d b e in t h e a cco u n t a f t er 12 ye a rs ?

Amount : 245.91

Solution steps

Translate the problem into an equation:

A = 180 e^{0.026 \cdot 12}

180 e^{0.026 \cdot 12} = 245.90784 \dots

Round to the nearest hundredth:

245.91

Amount : 245.91