Aaliyah invested 350 in an account paying an interest rate of 4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 20 years?

الحلّ

A a l i y ah in v es t e d 350 in an a cco u n t p a y in g an in t eres t r a t e o f 4% 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 20 ye a rs ?

Amount : 778.94

خطوات الحلّ

Translate the problem into an equation:

A = 350 e^{0.04 \cdot 20}

350 e^{0.04 \cdot 20} = 778.93932 \dots

Round to the nearest hundredth:

778.94

Amount : 778.94