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David invests money in an account paying a simple interest of 
1% per year. If he invests 
$100 and no money will be added or removed from the investment, how much will he have in one year, in dollars and cents?
Answer: $

David invests money in an account paying a simple interest of 1% 1 \% per year. If he invests $100 \$ 100 and no money will be added or removed from the investment, how much will he have in one year, in dollars and cents?\newlineAnswer: $ \$

Full solution

Q. David invests money in an account paying a simple interest of 1% 1 \% per year. If he invests $100 \$ 100 and no money will be added or removed from the investment, how much will he have in one year, in dollars and cents?\newlineAnswer: $ \$
  1. Calculate Interest Earned: Calculate the interest earned in one year.\newlineSimple interest is calculated using the formula I=PRTI = PRT, where II is the interest, PP is the principal amount, RR is the rate of interest per year, and TT is the time in years.\newlineFor David's investment, P=$100P = \$100, R=1%R = 1\% or 0.010.01 as a decimal, and T=1T = 1 year.\newlineSo, I=100×0.01×1I = 100 \times 0.01 \times 1.
  2. Perform Interest Calculation: Perform the calculation for interest.\newlineI=100×0.01×1=($)1I = 100 \times 0.01 \times 1 = (\$)1.\newlineThis means David will earn ($)1(\$)1 in interest after one year.
  3. Calculate Total Amount: Calculate the total amount in the account after one year.\newlineThe total amount AA is the sum of the principal PP and the interest II.\newlineSo, A=P+IA = P + I.\newlineFor David, A=$100+$1A = \$100 + \$1.
  4. Perform Total Amount Calculation: Perform the calculation for the total amount. \newlineA=$(100)+$(1)=$(101)A = \$(100) + \$(1) = \$(101).\newlineDavid will have \$(\(101\)) in his account after one year.

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