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givi [52]
2 years ago
5

Suppose that when Emma was born, her grandparents deposited $20,000 into an account paying 5% interest compounded quarterly. Wha

t will the balance be when Emma turns 18? Round to the nearest cent
Mathematics
1 answer:
neonofarm [45]2 years ago
4 0

Answer: The balance when Emma turns 18 = $ 48,132.38

Step-by-step explanation:

When interest is compounded quarterly, the accumulated amount after t years will be :

A= P(1+r)^t

, where P =  principal, r= rate of interest( in decimal)

Given: P= $ 20,000 , r= 5% =0.05

t = 18 years

A = 20000(1+0.05)^{18}\\\\= 20000(1.05)^{18}\\\\= 20000(2.406619)\\\\=\$\ 48,132.38

The balance when Emma turns 18 = $ 48,132.38

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