Mathematics A Quantitative Reasoning Approach 3rd edition



Mathematics A Quantitative Reasoning Approach 3rd edition

Chapter 3A

11) Conclusion: False

Reason: Let your income = X

Then my income = 120%*X = 1.2X

This shows that your income = 80%*1.2X = 0.96X ? X which does not make sense

13) Conclusion: True

Reason: It is possible that the children living near the toxic landfill have higher cancers than general population which makes the average of general population more increasing.

15) Conclusion: True

Reason: The rate on a mutual fund has been increased to 15% because of a 50% increase.

18) Fraction = 120/100, Decimal = 120/100 = 1.2, Percentage = 120%

29) Fraction = 65/100, Decimal = 0.65, Percentage = 65%

Chapter 3B

21)

a. 10 to the 35th power, 10 to the 26th power = 10 to the 9th power times large

b. 10 to the 17th power, 10 to the 27th power = 10 to the 9th power times large

c. 1 billion, 1 million = 10 to the 3rd power times large

d. 7 trillion, 7 thousand = 7 x 10 to the 9th power times large.

Chapter 4A

9) Conclusion: False

Reason: Let the current amount invested = $X

Simple interest rate would make the savings after 5 years = 5 (0.05*$X) + $X = 1.25*$X

Compound Interest rate would make the savings after 5 years = 0.05*$X + 0.05 (0.05*$X) + 0.05 (0.05 (0.05*$X)) + 0.05 (0.05 (0.05 (0.05*$X))) + 0.05 (0.05 (0.05 (0.05 (0.05*$X))))

11) Conclusion: False

Reason: There are other investments through which higher returns can be obtained which is the better deal than the highest annual percentage rate.

13) Conclusion: True

Reason: The rate of return had drowned by 5.1% with fixed APR 9% which is possible.

21) You borrow $5000over a period of 3 years at a fixed APR of 12%.

$5000*0.12*3 = $1800

23) You borrow $50,000 over a period of 15 years at a fixed APR of 8%.

$50,000*0.08*15 = $60,000

Chapter 4B

9) Conclusion: Does not make sense

Reason: Do not know what are the original deposits and also what level of income will be enough to live a comfortable life after the retirement.

11) Conclusion: Does not make sense

Reason: Rate of interest is not determined thorugh which we can compare the stock returns and that from other investments.

13) Conclusion: Make sense

Reason: The statement is talking about the strategy not surety which mutual fund companies claim sometimes.

15) 64

17) 256

19) 81

21) 1/16

23) 16384

25) 1/5

27) 10

29) 3

31) 8

33) 32

Chapter 4C

7) Conclusion: Make sense

Reason: It may happen that the interest rate is compounded and the students did not make any payments till yet.

9) Conclusion: Does not make sense

Reason: Using the credit card for payments is never used for keeping the money i.e. interest has to be paid on credit cards.

11) Conclusion: Does not make sense

Reason: 1.5% of 3% is 1.015*3 = 3.045% while the fixed mortgage rates offered 6% in starting which would be the optimal option.

13) Conclusion: Does not make sense

a. $178.33

b. $42800

c. 93.45% in returing the principal and that of the interest is 6.5%.

15) Conclusion: Make sense

17) Conclusion: Make sense

19) Conclusion: Does not make sense

21) Conclusion: ...