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Find the simple interest on a loan of 
$35,000 at 
9% interest for 10 months
Give your answer to the nearest cent

Find the simple interest on a loan of $35,000 \$ 35,000 at 9% 9 \% interest for 1010 months \newline$\$___________\newlineGive your answer to the nearest cent

Full solution

Q. Find the simple interest on a loan of $35,000 \$ 35,000 at 9% 9 \% interest for 1010 months \newline$\$___________\newlineGive your answer to the nearest cent
  1. Understand formula for simple interest: Understand the formula for simple interest. Simple interest can be calculated using the formula I=PRTI = PRT, where II is the interest, PP is the principal amount, RR is the annual interest rate (in decimal form), and TT is the time in years.
  2. Convert annual interest rate to decimal: Convert the annual interest rate to a decimal.\newlineThe annual interest rate is 9%9\%, so as a decimal, R=9100=0.09R = \frac{9}{100} = 0.09.
  3. Convert time from months to years: Convert the time from months to years.\newlineSince there are 1212 months in a year, 1010 months is 1012\frac{10}{12} years. So, T=1012.T = \frac{10}{12}.
  4. Calculate simple interest using values: Calculate the simple interest using the values.\newlineNow we have P=$35,000P = \$35,000, R=0.09R = 0.09, and T=1012T = \frac{10}{12}. Plugging these into the formula gives us I=PRT=35000×0.09×(1012)I = PRT = 35000 \times 0.09 \times \left(\frac{10}{12}\right).
  5. Perform the calculation: Perform the calculation.\newlineI=35000×0.09×(1012)=35000×0.09×0.8333I = 35000 \times 0.09 \times \left(\frac{10}{12}\right) = 35000 \times 0.09 \times 0.8333\ldots (approximately)\newlineI35000×0.075=2625I \approx 35000 \times 0.075 = 2625
  6. Round result to nearest cent: Round the result to the nearest cent.\newlineThe interest calculated is approximately $2625\$2625. Since we are asked to give the answer to the nearest cent, we do not need to round further as the result is already in whole dollars.

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