Questions from Business Mathematics


Q: An annuity consists of end-of-month payments of $

An annuity consists of end-of-month payments of $150 continuing for 6 1 2 years. Based on a nominal rate of 10% compounded quarterly, calculate the annuity’s: 1. Present value. 2. Future value.

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Q: An ordinary annuity consists of semiannual payments of $2750 for a

An ordinary annuity consists of semiannual payments of $2750 for a 3 1 2 -year term. Using a nominal rate of 4% compounded monthly, calculate the annuity’s: 1. Present value. 2. Future value.

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Q: Calculate the amount that must be invested at the end of each

Calculate the amount that must be invested at the end of each year at 9% compounded annually in order to accumulate $500,000 after: 1. 25 years. 2. 30 years. In each case, also determine what portion...

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Q: Claudette plans to retire this year. Currently she has $560

Claudette plans to retire this year. Currently she has $560,000 in accumulated capital. She wants to invest this capital to provide equal payments at the end of each year for 20 years, at which time t...

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Q: Karen obtained a $20,000 loan at 4% compounded

Karen obtained a $20,000 loan at 4% compounded semiannually. What monthly payment will repay the loan in 7 1 2 years? How much interest will Karen pay over the life of the loan?

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Q: Brenda and Tom want to save $30,000 over the

Brenda and Tom want to save $30,000 over the next four years for a down payment on a house. What amount must they regularly save from their month-end paycheques if their savings can earn 5.5% compound...

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Q: The distribution of scores obtained by 30 students on a quiz marked

The distribution of scores obtained by 30 students on a quiz marked out of 10 is listed below. Score: 10 9 8 7 6 5 4 3 2 1 Number of students: 2 6 9 7 3 2 0 1 0 0 What was the average score on the tes...

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Q: Henry can buy a farm for $700,000 with terms

Henry can buy a farm for $700,000 with terms of $100,000 down and the balance payable over 20 years by quarterly payments including interest at 8% compounded annually. What will be the size of the pay...

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Q: RBC Royal Bank approved a four-year $20,000

RBC Royal Bank approved a four-year $20,000 Royal Buy-Back Car Loan to Zaman at 7.5% compounded monthly. The monthly payments are to reduce the balance on the loan to the Royal Bank’s guaranteed buy-b...

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Q: Ardith is scheduled to make a lump payment of $25,

Ardith is scheduled to make a lump payment of $25,000, 11 months from now, to complete a real estate transaction. What end-of-month payments for the next 11 months should the vendor be willing to acce...

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