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You have $100 and a bank is offering 6.0% interest on deposits. If you deposit the money in the​ bank, how much will you have in one​ year?

Question

You have $100 and a bank is offering 6.0% interest on deposits. If you deposit the money in the​ bank, how much will you have in one​ year?

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Solution

To calculate the amount of money you will have in one year, you need to apply the formula for simple interest, which is:

A = P(1 + rt)

where:

  • A is the amount of money accumulated after n years, including interest.
  • P is the principal amount (the initial amount of money).
  • r is the annual interest rate (in decimal).
  • t is the time the money is invested for, in years.

Given that P = $100, r = 6.0% = 0.06 (you need to divide the percentage by 100 to convert it to a decimal), and t = 1 year, you can substitute these values into the formula:

A = 100(1+0.061)A=100(1 + 0.06*1) A = 100(1 + 0.06) A = 1001.06A=100*1.06 A = 106

So, if you deposit 100inabankofferinga6.0100 in a bank offering a 6.0% interest rate, you will have 106 in one year.

This problem has been solved

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