Q. Find the simple interest on a loan of $35,000 at 9% interest for 10 months $___________Give your answer to the nearest cent
Understand formula for simple interest: Understand the formula for simple interest. Simple interest can be calculated using the formula I=PRT, where I is the interest, P is the principal amount, R is the annual interest rate (in decimal form), and T is the time in years.
Convert annual interest rate to decimal: Convert the annual interest rate to a decimal.The annual interest rate is 9%, so as a decimal, R=1009=0.09.
Convert time from months to years: Convert the time from months to years.Since there are 12 months in a year, 10 months is 1210 years. So, T=1210.
Calculate simple interest using values: Calculate the simple interest using the values.Now we have P=$35,000, R=0.09, and T=1210. Plugging these into the formula gives us I=PRT=35000×0.09×(1210).
Perform the calculation: Perform the calculation.I=35000×0.09×(1210)=35000×0.09×0.8333… (approximately)I≈35000×0.075=2625
Round result to nearest cent: Round the result to the nearest cent.The interest calculated is approximately $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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