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AnnyKZ [126]
3 years ago
12

The amount of money in an account after is has been earned interest is $1080, the principle is $1000, and the time is 2 years. W

hat is the annual interest rate?
Mathematics
1 answer:
MrMuchimi3 years ago
3 0

9514 1404 393

Answer:

  4%

Step-by-step explanation:

We assume the interest earned is simple interest, because that make the numbers come out "nice."

The account balance is given by ...

  A = P(1 +rt) . . . . principal P earns simple interest at annual rate r for t years

  1080 = 1000(1 +r·2) . . . . fill in the given values

  1.08 = 1 +2r . . . . . . . . . . divide by 1000

  0.08 = 2r . . . . . . . . . . . subtract 1

  0.04 = r = 4% . . . . . . . divide by 2

The annual interest rate is 4%.

_____

<em>Additional comment</em>

If interest is compounded annually, the annual rate is about 3.92%. If it is compounded continuously, the rate is about 3.85%.

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