Express each of the following ratios in there lowest terms: | |
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(a) | | 0.36 : 0.20 : 0.316 ( 1 mark) | | |
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ANSWER: | | | |
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(b) | | 9/8 : 3 /4 : 3/2 (1 mark) | | |
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ANSWER: | | | |
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Convert the following ratios to equivalent ratios whose smallest number is 1: |
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(a) | | 1/6 : 1/3 : 1/9 ( 1 mark) | | |
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ANSWER: | | | |
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(b) | | 7 and 2/5: 6: 9 and 3/8 (1 mark) | |
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ANSWER: | | | |
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Solve the following proportions for the unknown quantities: | |
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(a) | | t : 26 : 10 = 24 : 39 : s | (1 mark) | |
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ANSWER: | | | |
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(b) | | Last year, the U.S. Sales of Honda, Toyota and Nissan, respectively, were in the |
| | ratio 92 : 121 : 35. Toyota has announced sales of $10.8 billion for the first |
| | half of the correct fiscal year. If the three companies have maintained the same |
| | market share as they had last year, what were the first-half sales of Honda and Nissan, |
| | rounded to two decimal point (1 mark) | |
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ANSWER: | | | |
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Tom was charged $12.48 simple interest on his bank loan for the period June 18, 2019 |
to July 18, 2019. If the interest rate on the loan was 8.25%, what was the outstanding |
principal of the loan, rounded to the nearest cent? (2 marks) | |
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ANSWER: | | | |
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What amount would be received on January 13, 2019 that is equivalent to $10,000 received on |
August 12, 2018, if money can earn a simple interest rate 9.5%? (2 marks) |
Round to the nearest cent. | | |
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ANSWER: | | | |
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A contract requires payments of $3,000, $4,000 and $2,000 in 100, 150 and 200 days |
respectively. What is the value of the contract today if payments yield a 10.5% |
simple interest return , rounded to two decimal points (2 marks) | |
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ANSWER: | | | |
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Ashley, Randy and Sylvia invested $4,000, $7,000 and $5,000 respectively into a small business. |
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(a) | | What was the ratio if their investments (reduced to the lowest terms)? (1 mark) |
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ANSWER: | | | |
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(b) | | How much would each receive if profits were distributed according to this ratio and |
| | the total profit was $25,000? Round answer to the nearest dollar. (2 marks) |
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ANSWER: | | | |
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Jacques has been notified that the combined principal and interest on an amount he |
borrowed 19 months ago at 8.4% compounded monthly is now $2,297.78. How much of |
this amount is principal and how much is interest? Round answer to nearest cent. (2 marks) |
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ANSWER: | | | |
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You invest $6,000 for one year at a nominal interest rate of 8%. Interest is compounded |
quarterly. Calculate the following: | | |
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(a) | | Number of periods to be compounded (1 mark) | |
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ANSWER: | | | |
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(b) | | Total amount to be repaid (1 mark) | |
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ANSWER: | | | |
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(c) | | Total interest earned (1 mark) | |
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ANSWER: | | | |
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Ashley wishes to purchase a $10,000 vehicle in 4 years. He can earn 6% compounded |
semi-annually at his bank. How much must Ashley deposit at the beginning of the year to |
have $10,000 in 4 years? (2 marks) | | |
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ANSWER: | | | |
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To calculate___________, the interest from the previous month becomes part of the |
new principal. Circle the correct answer below: (1 mark) | |
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A | | Present value | D | None of the above |
B | | Simple interest | E | All of the above |
C | | Compound interest | | |
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Circle the correct answer: | | |
(a) | | Time value of money is the property that a given nominal amount of money has |
| | at different points in time (1 mark) | |
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| | | TRUE | FALSE |
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(b) | | Interest is the fee or rent that borrowers earn for the use of their money (1 mark) |
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| | | TRUE | FALSE |
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(c) | | Maturity value is the total principal due on the maturity date of a loan or an |
| | investment (1 mark) | | |
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| | | TRUE | FALSE |
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