Questions from Business Mathematics


Q: The total assessed value of property in Brockton has risen by $

The total assessed value of property in Brockton has risen by $97 million from last year’s figure of $1.563 billion. The property tax rate last year for city services was $0.94181 per $100 of assessed...

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Q: The future value of an annuity consisting of end-of-

The future value of an annuity consisting of end-of-year investments of $1658.87 earning 5.2% compounded annually is $100,000. How many annual investments were made?

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Q: Suppose that you contribute $400 per month to your RRSP.

Suppose that you contribute $400 per month to your RRSP. Rounding up to the nearest month, how much longer will it take for the RRSP’s value to reach $500,000 if it earns 7.5% compounded annually than...

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Q: How much longer will it take to pay off a $100

How much longer will it take to pay off a $100,000 loan with monthly payments of $1000 than with monthly payments of $1100? The interest rate on the loan is 10.5% compounded monthly.

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Q: How much longer will it take monthly payments of $1000 to

How much longer will it take monthly payments of $1000 to pay off a $100,000 loan if the monthly compounded rate of interest on the loan is 10.5% instead of 9.75%?

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Q: What duration of annuity paying $5000 at the end of every

What duration of annuity paying $5000 at the end of every quarter can be purchased with $200,000 if the invested funds earn 5.5% compounded semiannually?

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Q: Bonnie and Clyde want to take a six-month leave of

Bonnie and Clyde want to take a six-month leave of absence from their jobs to travel extensively in South America. Rounded to the next higher month, how many months will it take them to save $40,000 f...

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Q: Finest Furniture sells a television set priced at $1395 for $

Finest Furniture sells a television set priced at $1395 for $50 down and payments of $50 per month, including interest at 13.5% compounded monthly. How long after the date of purchase will the final p...

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Q: Rashid wants to use $500,000 from his RRSP to

Rashid wants to use $500,000 from his RRSP to purchase an annuity that pays him $2000 at the end of each month for the first 10 years and $3000 per month thereafter. Global Insurance Co. will sell Ras...

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Q: A 65-year-old male can purchase either of the

A 65-year-old male can purchase either of the following annuities from a life insurance company: a 25-year term annuity that will pay $307 at the end of each month or a life annuity that will pay $408...

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