Questions from Business Mathematics


Q: New Look Fitness Centre offers a one-year membership for $

New Look Fitness Centre offers a one-year membership for $500 in advance, or a three-month membership for $160 in advance. What effective rate of interest is an individual paying if she buys four cons...

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Q: What maximum annual withdrawals will a $300,000 fund earning

What maximum annual withdrawals will a $300,000 fund earning 7.75% compounded annually sustain for 25 years if the withdrawals are made: 1. At the beginning of each year? 2. At the end of each year?

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Q: A life insurance company is calculating the monthly premium that it will

A life insurance company is calculating the monthly premium that it will offer clients as an alternative to paying the full annual premium. With both alternatives, premiums are payable at the beginnin...

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Q: Regular investments made at the beginning of each quarter earn 6%

Regular investments made at the beginning of each quarter earn 6% compounded quarterly. How many more $1000 investments than $1100 investments will it take to accumulate $100,000?

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Q: An RRSP is now worth $316,000 after contributions of

An RRSP is now worth $316,000 after contributions of $3500 at the beginning of every six months for 17 years. What effective rate of return has the plan earned?

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Q: A city’s commercial construction by-laws require five parking spaces for

A city’s commercial construction by-laws require five parking spaces for every 100 square metres of retail rental space in a shopping centre. Four percent of the parking spaces must be large spaces fo...

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Q: Calculate the amount that will be accumulated after 20 years if:

Calculate the amount that will be accumulated after 20 years if: 1. $1000 is invested at the beginning of every six months at 8.5% compounded semiannually. 2. $2000 is invested at the beginning of eve...

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Q: A life insurance company quoted an annual premium of $387.

A life insurance company quoted an annual premium of $387.50 (payable at the beginning of the year) for a $250,000 term insurance policy on a 35-year-old male nonsmoker. Alternatively, the insured can...

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Q: A seven-year capital lease of an executive jet requires semiannual

A seven-year capital lease of an executive jet requires semiannual payments of $200,000 at the beginning of each six-month period. The company can borrow funds for 5 to 10 years at 7.4% compounded sem...

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Q: Suppose that $5000 is contributed at the beginning of each year

Suppose that $5000 is contributed at the beginning of each year to an RRSP that earns 5% compounded annually. 1. How many contributions will it take to accumulate the first $500,000? 2. How many more...

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