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Adam invests money in an account paying a simple interest of 
6% per year. If no money will be added or removed from the investment, what should he multiply his current balance by to find his total balance in a year in one step?
Answer:

Adam invests money in an account paying a simple interest of 6% 6 \% per year. If no money will be added or removed from the investment, what should he multiply his current balance by to find his total balance in a year in one step?\newlineAnswer:

Full solution

Q. Adam invests money in an account paying a simple interest of 6% 6 \% per year. If no money will be added or removed from the investment, what should he multiply his current balance by to find his total balance in a year in one step?\newlineAnswer:
  1. Calculate Interest Formula: To find the total balance after one year with simple interest, we need to calculate the interest earned and add it to the original balance. The formula for simple interest is:\newlineInterest =Principal×Rate×Time= Principal \times Rate \times Time\newlineWhere PrincipalPrincipal is the initial amount of money, RateRate is the interest rate per period, and TimeTime is the number of periods.
  2. Adam's Interest Rate: Adam's interest rate is 6%6\% per year, which can be written as 0.060.06 in decimal form. Since we are looking for the total balance after one year, Time is 11.
  3. Calculate Interest Earned: Using the formula for simple interest, the interest Adam would earn in one year on a principal amount (which we'll call PP) is:\newlineInterest=P×0.06×1\text{Interest} = P \times 0.06 \times 1\newlineInterest=0.06P\text{Interest} = 0.06P
  4. Find Total Balance: To find the total balance, we add the interest earned to the original principal:\newlineTotal Balance = Principal + Interest\newlineTotal Balance = P+0.06PP + 0.06P\newlineTotal Balance = 1P+0.06P1P + 0.06P\newlineTotal Balance = (1+0.06)P(1 + 0.06)P\newlineTotal Balance = 1.06P1.06P
  5. Multiply by 1.061.06: Therefore, Adam should multiply his current balance by 1.061.06 to find his total balance after one year.

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