Hannah invested 820 in an account paying an interest rate of 1.8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 16 years?

الحلّ

H annah in v es t e d 820 in an a cco u n t p a y in g an in t eres t r a t e o f 1.8% 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 h u n d re d 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 16 ye a rs ?

Amount : 1093.68

خطوات الحلّ

Translate the problem into an equation:

A = 820 e^{0.018 \cdot 16}

820 e^{0.018 \cdot 16} = 1093.68098 \dots

Round to the nearest hundredth:

1093.68

Amount : 1093.68