Multiple Choice Identify the choice that best
completes the statement or answers the question.
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1.
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Oleg took out a $16 000 loan from the bank to pay for school. The bank offered
him an interest rate of 5.6%, compounded quarterly. The loan is to be repaid in 3 years. What amount
did Oleg need to pay back?
A. | $18 904.95 | B. | $18 919.59 | C. | $18
841.34 | D. | $18 688.00 |
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2.
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Oleg took out a $16 000 loan from the bank to pay for school. The bank offered
him an interest rate of 5.6%, compounded quarterly. The loan is to be repaid in 3 years. How much
interest did Oleg need to pay?
A. | $2688.00 | B. | $2904.95 | C. | $2841.34 | D. | $2919.59 |
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3.
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Carmen must now pay $9000 to pay off her bank loan, which she borrowed 10 years
ago. The loan was compounded monthly at an interest rate of 5.2%. How much did Carmen originally
borrow?
A. | $15 121.25 | B. | $5421.07 | C. | $5356.70 | D. | $5921.05 |
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4.
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Catherine wants to travel to England. The trip costs $3000 and she can afford
monthly payments of $150. She can finance her trip using one of her two credit cards. • Card
1 charges 12.7%, compounded daily. • Card 2 charges 18.1%, compounded daily, but she gets 3%
cash back on all purchases. If Catherine wants to pay off her debt as quick as possible, how many
months will it take?
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5.
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Garrick is purchasing equipment for his job as a builder. The equipment costs
$1000 and he wants to make monthly payments of $125. He has two different credit cards that he can
use to finance the purchase. • Card A charges 9.9%, compounded daily, but it also charges a
fee of $65 for all purchases over $1000 that is immediately added to the balance. • Card B
charges 13.3%, compounded daily. What is the total cost of the cheaper option?
A. | $1053.24 | B. | $1109.01 | C. | $1125.00 | D. | $1000.00 |
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6.
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Garrick is purchasing equipment for his job as a builder. The equipment costs
$1000 and he wants to make monthly payments of $125. He has two different credit cards that he can
use to finance the purchase. • Card A charges 9.9%, compounded daily, but it also charges a
fee of $65 for all purchases over $1000 that is immediately added to the balance. • Card B
charges 13.3%, compounded daily. What is the least amount of interest Garrick can pay?
A. | $125.00 | B. | $109.01 | C. | $44.01 | D. | $53.24 |
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7.
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Cormac wants to pay off all his debts in 4 years. He has two credit cards on
which he makes monthly payments: • Card A has a balance of $3002.91 and an interest rate of
17.6%, compounded daily. • Card B has a balance of $4712.01 and an interest rate of 15.9%,
compounded daily. Cormac wants to consolidate his debts into a line of credit with an interest
rate of 8.9%, compounded monthly. How much will Cormac save by consolidating his debts?
A. | $1420.32 | B. | $29.59 | C. | $1488.46 | D. | $2908.70 |
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8.
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A company replaces its trucks after the trucks have been used for 8 years. The
company uses a depreciation rate of 35%. If after 3 years of use a truck is worth $27 000, what will
it be worth when the company replaces it?
A. | $860.34 | B. | $7414.88 | C. | $3132.78 | D. | $141.81 |
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9.
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Nigel is purchasing a house for $225 000 that appreciates at a rate of about 3%
per year. He will finance this purchase with a 20-year mortgage at an interest rate of 4.5%,
compounded semi-annually, with monthly payments, where he is required to make a 15% down payment. How
much is the down payment?
A. | $191 250 | B. | $10 125 | C. | $33
750 | D. | $225 000 |
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10.
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Vito needs a truck. He has two different options. He can lease a car for $45 per
week for four years. He can also buy a new truck for $33 000. He will finance the purchase through
the dealership by making regular monthly payments over 8 years at an interest rate of 3.4%,
compounded monthly. If he purchases the truck, he will sell it after four years at market value. The
truck depreciates at a rate of 20%. In both options, he must make a down payment of $2500. What is
the total cost of the cheaper option?
A. | $22 706.51 | B. | $9360.00 | C. | $11
860.00 | D. | $17 439.37 |
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Short Answer
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1.
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How much interest will be paid on a loan of $4000 at an interest rate of 7.5%,
compounded quarterly, with a term of 6 years?
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2.
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Sylvia wants to become debt-free in 2 years by making regular monthly payments.
She currently has an outstanding balance on two different credit cards: • Card A has a
balance of $1522.77 and an interest rate of 18.5%, compounded daily. • Card B has a balance
of $2003.45 and an interest rate of 17.7%, compounded daily. Sylvia wants to consolidate her debts
into a line of credit that charges an interest rate of 9.2%, compounded monthly. If Sylvia
consolidates her debts, what will her regular monthly payments be?
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3.
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Camille needs equipment for her job as an electrician. She has two options. She
can either buy new equipment that costs $7100. She will finance this cost through the vendor by
making regular monthly payments over 3 years at an interest rate of 7.1%, compounded monthly. At the
end of 3 years, the equipment is worthless. She can also rent the equipment at a cost of $20 per day.
She only needs the equipment 5 days a week. What is the total cost to rent the equipment for 3
years?
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Problem
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1.
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Amelia purchased a refridgerator at a special sale for $1780. The special sale
was that no interest would have to be paid for 16 months as long as the balance was paid in that
time. Otherwise, a penalty equal to an interest rate of 17.9%, compounded monthly, on the full
balance would be charged, starting from the date of the purchase. How much more would she have to pay
if Amelia missed the deadline by 1 day? Show your work.
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2.
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Gabriel is renovating his house. Since he is a builder, he is doing the
renovation himself but he needs equipment. He can either rent the equipment for a full week for
$2000, or he can rent the equipment for $350 per day. He estimates that it will take him 5 days to
complete the renovation. What should Gabriel do? Explain.
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