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klio [65]
3 years ago
7

Jed deposited $400 into a bank that offers 3.9% interest rate, compounded daily. In how many years will his balance be $800?

Mathematics
2 answers:
Klio2033 [76]3 years ago
8 0
17.7 years----------->Apex correct answer

Alex17521 [72]3 years ago
4 0

Answer:

18 years ( approx )

Step-by-step explanation:

Since, if an amount is compounded daily,

Then, the final amount after t years is,

A=P(1+\frac{r}{365})^{365t}

Where, P is the principal amount

r is the annual rate ( in decimals ),

t is the number of years,

Given,

A = $ 800,

r = 3.9% = 0.039,

P = $ 400,

By substituting the values,

800=400(1+\frac{0.039}{365})^{365t}

\implies t = 17.774\approx 18\text{ years}

Hence, his balance will be $800 after approximately 18 years.

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