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Kadeesha invests money in an account paying a simple interest of 
2% per year. If no money will be added or removed from the investment, what should she multiply her current balance by to find her total balance in a year in one step?
Answer:

Kadeesha invests money in an account paying a simple interest of 2% 2 \% per year. If no money will be added or removed from the investment, what should she multiply her current balance by to find her total balance in a year in one step?\newlineAnswer:

Full solution

Q. Kadeesha invests money in an account paying a simple interest of 2% 2 \% per year. If no money will be added or removed from the investment, what should she multiply her current balance by to find her total balance in a year in one step?\newlineAnswer:
  1. Understand Simple Interest: Understand the concept of simple interest. Simple interest is calculated by multiplying the principal amount (the initial sum of money) by the interest rate and by the number of time periods. The formula for simple interest is I=P×r×tI = P \times r \times t, where II is the interest earned, PP is the principal amount, rr is the interest rate per time period, and tt is the number of time periods. Since we want to find the total balance after one year, we need to calculate the principal plus the interest earned.
  2. Convert Interest Rate to Decimal: Convert the interest rate to a decimal.\newlineThe interest rate given is 2%2\% per year. To use this in calculations, we need to convert it to a decimal by dividing by 100100.\newline2%=2100=0.022\% = \frac{2}{100} = 0.02
  3. Calculate Multiplier for Total Balance: Calculate the multiplier for the total balance after one year.\newlineTo find the total balance, we add the interest earned to the principal amount. Since the interest is 2%2\% of the principal, the total balance will be 100%100\% of the principal plus 2%2\% of the principal.\newlineTotal balance =Principal+(Principal×Interest Rate)= \text{Principal} + (\text{Principal} \times \text{Interest Rate})\newlineTotal balance =Principal×(1+Interest Rate)= \text{Principal} \times (1 + \text{Interest Rate})\newlineTotal balance =Principal×(1+0.02)= \text{Principal} \times (1 + 0.02)\newlineTotal balance =Principal×1.02= \text{Principal} \times 1.02\newlineKadeesha should multiply her current balance by 1.021.02 to find her total balance in a year.

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