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Popular Word Problems >

Samantha invested 67,000 in an account paying an interest rate of 3.9% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 7 years?

Solution

S aman t ha in v es t e d 67, 000 in an a cco u n t p a y in g an in t eres t r a t e o f 3.9% 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 7 ye a rs ?

Solution

Amount : 88031.32

Solution steps

Translate the problem into an equation:

A = 67000 e^{0.039 \cdot 7}

67000 e^{0.039 \cdot 7} = 88031.31640 \dots

Round to the nearest hundredth:

88031.32

Amount : 88031.32

Popular Examples

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