2. Suppose 7,000 is divided into two bank accounts. One account pays 10% simple interest per year and the other pays 5%. After three years there is a total of 1451.25 in interest between the two accounts. How much was invested into each account (rounded to the nearest cent)? 3. John wants to have an interest income of 3,000 a year. How much must he invest for one year at 8%? 4. Jane owes the bank some money at 4% per year. After half a year, she paid 450.00 as interest. How much money does she owe the bank? 5. A student borrowed some money from his father at 2% simple interest to buy a car. He paid his father 3,600.00 in interest after 3 years, how much did he borrow? 6. A credit union loaned out 500,000, part at an annual rate of 6% and the rest at an annual rate of 12%. The collected combined interest was 36,000 that year. How much did the credit union loan out at each rate? 7. A fireman invests 40,000 in a retirement account for 2 years. The interest rate is 6%. The interest is compounded monthly. What will his final balance be? 8. Calculate the amount of this investment after 5 years with interest compounded yearly.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
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Chapter12: Sequences, Series And Binomial Theorem
Section12.3: Geometric Sequences And Series
Problem 12.57TI: What is the total effect on the economy of a government tax rebate of $1,000 to each household in...
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Answer the following problem from item number 2, 3, 4, 5, 6, 7, and 8 with complete solution.
2. Suppose 7,000 is divided into two bank accounts. One account pays
10% simple interest per year and the other pays 5%. After three years
there is a total of 1451.25 in interest between the two accounts. How
much was invested into each account (rounded to the nearest cent)?
3. John wants to have an interest income of 3,000 a year. How much must
he invest for one year at 8%?
4. Jane owes the bank some money at 4% per year. After half a year, she
paid 450.00 as interest. How much money does she owe the bank?
5. A student borrowed some money from his father at 2% simple interest
to buy a car. He paid his father 3,600.00 in interest after 3 years, how
much did he borrow?
6. A credit union loaned out 500,000, part at an annual rate of 6% and the
rest at an annual rate of 12%. The collected combined interest was
36,000 that year. How much did the credit union loan out at each rate?
7. A fireman invests 40,000 in a retirement account for 2 years. The interest
rate is 6%. The interest is compounded monthly. What will his final
balance be?
8. Calculate the amount of this investment after 5 years with interest
compounded yearly.
Transcribed Image Text:2. Suppose 7,000 is divided into two bank accounts. One account pays 10% simple interest per year and the other pays 5%. After three years there is a total of 1451.25 in interest between the two accounts. How much was invested into each account (rounded to the nearest cent)? 3. John wants to have an interest income of 3,000 a year. How much must he invest for one year at 8%? 4. Jane owes the bank some money at 4% per year. After half a year, she paid 450.00 as interest. How much money does she owe the bank? 5. A student borrowed some money from his father at 2% simple interest to buy a car. He paid his father 3,600.00 in interest after 3 years, how much did he borrow? 6. A credit union loaned out 500,000, part at an annual rate of 6% and the rest at an annual rate of 12%. The collected combined interest was 36,000 that year. How much did the credit union loan out at each rate? 7. A fireman invests 40,000 in a retirement account for 2 years. The interest rate is 6%. The interest is compounded monthly. What will his final balance be? 8. Calculate the amount of this investment after 5 years with interest compounded yearly.
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