Exam 10: Compound Interest - Further Topics

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The Brick store credit card quotes a rate of 1.75% per month on the unpaid balance. Calculate the effective rate of interest being charged.

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In how many months will money double at 7.45% compounded semi-annually?

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Calculate the effective annual rate for 10% p.a. compounded quarterly.

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How long will it take Whitby's population to grow from 125 000 (in 2013) to 200 000, if the annual growth rate is 3%? Round your answer to the nearest month.

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BlackBerry took a loan contract which requires a payment of $40 million plus interest two years after the contract's date of issue. The interest rate on the $40 million face value is 9.6% compounded quarterly. Before the maturity date, the original lender sold the contract to a pension fund for $43 million. The sale price was based on a discount rate of 8.5% compounded semi-annually from the date of sale. How many months before the maturity date did the sale take place?

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A six-year, $1650.00 note bearing interest at 9.51% compounded annually was discounted at 11.2% compounded semi-annually yielding proceeds of $1916.75. How many months before the due date was the discount date?

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How long did it take for $1635 to increase to $2310 if the investment earned interest at a rate of 8.08% compounded quarterly (give your final answer in years and months, e.g., 3 years and 7.23 months)?

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At what nominal rate of interest compounded monthly will $40 000.00 earn $7200.00 interest in three years?

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A financial obligation requires payments of $2000.00 today, $2500.00 in three years, and $3000.00 in five years. When can the obligation be discharged by a single payment equal to the sum of the required payments if interest is 6%p.a. compounded monthly?

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A loan of $15 000.00 was repaid together with interest of $1089.00. If interest was 5% compounded quarterly, how long was the loan taken out? (Answers are rounded off to years and months)

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At what nominal rate of interest compounded quarterly will $2000.00 earn $400.00 interest in three years?

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If the effective rate of interest on an investment is 7%, what is the nominal rate of interest compounded quarterly?

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Musa's parents deposited $20,000 in a long-term savings account as a wedding expenditure for their grand daughter at her birth, expecting it to triple by the time she gets married. Calculate the number of years for money to triple at 5% p.a. compounded monthly.

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In how many years will money double at 8% compounded yearly?

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A promissory note for $3600.00 dated May 15, 2012, requires an interest payment of $370.00 at maturity. If interest is at 9.6% compounded monthly, determine the due date of the note.

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In how many years will money triple at 12% compounded semi-annually?

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A financial obligation requires the payment of $1500.00 in nine months, $700.00 in twenty-one months, and $1700.00 in 33 months. When can the obligation be discharged by a single payment of $3900.00 if interest is 8.44% compounded quarterly?

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At what nominal rate of interest compounded quarterly will $ 13 000.00 earn $8407.27 in interest in six years? (nearest hundredth)

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Which is the most attractive of the following interest rates offered on a savings account?

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Find the equated date at which two payments of $1600.00 due six months ago and $1850.00 due today could be settled by a payment of $4300.00 if interest is 9.48% compounded monthly.

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