7-7 Simple and Compound Interest Find the simple interest to the nearest cent. $1350 at 6% for 7 years The simple interest is $567. $240 at 8% for 9 months 9 months is equivalent to of a year. The simple interest is $14.40. $725 at 3.25% for 5 years The simple interest is $117.81. $3750 at 5.75% for 42 months 42 months is equivalent to The simple interest is $754.69. LOANS Mateo s sister paid off her student loan of $5000 in 3 years. If she made a payment of $152.35 each month, what was her simple interest rate for her loan? First find the total amount Mateo s sister will pay. Mateo s sister made payments of $152.35 each month for 3 years, or 36 months. The total amount she will pay over the length of the loan is 36 152.35 = $5484.60. Next, subtract the principal to find out how much interest she paid. 5484 5000 = $484. Use the simple interest formula to find the interest rate. eSolutions Manual - Powered by Cognero Page 1 7-7 Simple and Compound Interest The simple interest is $754.69. LOANS Mateo s sister paid off her student loan of $5000 in 3 years. If she made a payment of $152.35 each month, what was her simple interest rate for her loan? First find the total amount Mateo s sister will pay. Mateo s sister made payments of $152.35 each month for 3 years, or 36 months. The total amount she will pay over the length of the loan is 36 152.35 = $5484.60. Next, subtract the principal to find out how much interest she paid. 5484 5000 = $484. Use the simple interest formula to find the interest rate. The simple interest rate for her loan was 3.23%. Find the simple interest to the nearest cent. $275 at 7.5% for 4 years The simple interest is $82.50. $620 at 6.25% for 5 years The simple interest is $193.75. $734 at 12% for 3 months The simple interest is $22.02. $2020 at 8% for 18 months The simple interest is $242.40. eSolutions Manual - Powered by Cognero $1200 at 6% for 36 months Page 2 7-7 Simple and Compound Interest The simple interest is $22.02. $2020 at 8% for 18 months The simple interest is $242.40. $1200 at 6% for 36 months The simple interest is $216. $4380 at 10.5% for 2 years The simple interest is $919.80. CARS Thomas borrowed $4800 to buy a new car. He will be paying $96 each month for the next 60 months. Find the simple interest rate for his car loan. First find the total amount Thomas will pay. Thomas will make payments of $96 each month for 60 months. The total amount he will pay over the length of the loan is 60 96 = $5760. Next, subtract the principal to find out how much interest he will pay. 5760 4800 = $960. Use the simple interest formula to find the interest rate. The simple interest rate for his loan is 4%. CARS Denise has a car loan of $8000. Over the course of the loan, she paid a total of $1680 in interest at a simple interest rate of 6%. How many months was the loan? Use the simple interest formula. TheManual length- of the loan was 3.5 eSolutions Powered by Cognero years or 42 months. Page 3 INVESTMENTS A certificate of deposit has an annual simple interest rate of 5.25%. If $567 in interest is earned over a 6 year period, how much was invested? 7-7 Simple and Compound Interest The simple interest rate for his loan is 4%. CARS Denise has a car loan of $8000. Over the course of the loan, she paid a total of $1680 in interest at a simple interest rate of 6%. How many months was the loan? Use the simple interest formula. The length of the loan was 3.5 years or 42 months. INVESTMENTS A certificate of deposit has an annual simple interest rate of 5.25%. If $567 in interest is earned over a 6 year period, how much was invested? Use the simple interest formula. $1800 was invested. Solve each problem. Find 66% of 90. 59.4 is 66% of 90. What is 0.2% of 735? 147 is 0.2% of 735. Find 250% of 7000. eSolutions Manual - Powered by Cognero Page 4 7-7 Simple and Compound Interest 147 is 0.2% of 735. Find 250% of 7000. eSolutions Manual - Powered by Cognero Page 5
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