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Luba_88 [7]
3 years ago
14

Use the compound interest formulas to solve. A = P(1 + r/n)nt and A = Pert Suppose you have $3000 to invest. Which investment yi

elds the greater return over 10 years: Account 1: 6.5% compounded semiannually? Account 2: 6% compounded continuously? The account with the better investment is Account which yields dollars more after 10 years.
Mathematics
1 answer:
cluponka [151]3 years ago
3 0

Answer:

Account 1 yields greater return.

Step-by-step explanation:

Lets solve for the first formula:

A=P(1+\frac{r}{n} )^{nt}

First, change 6.5% into a decimal:

6.5% -> \frac{6.5}{100} -> 0.065

Now, plug in the values for Account 1:

A=3,000(1+\frac{0.065}{2})^{2(10)}

A=5,687.51

<u>Now solve for Account 2:</u>

Change 6% into a decimal:

6% -> \frac{6}{100} -> 0.06

Now plug in the values:

A=3,000e^{0.06(10)}

A=5,466.36

Account 1 yields better money after 10 years.

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