math help

math, answers only.

1

. If a business borrows

$

1

6,000 and repays $

2

4,400 in 5 years, what is the simple interest rate?

1%

2. Use Venn diagrams to check the validity of the argument.

All mathematicians are eccentrics. All eccentrics are rich. Therefore, all mathematicians are rich.

1

All lions are fierce. Some lions do not drink coffee. Therefore, some creatures that drink coffee are not fierce.

2

No politicians are honest. Some dishonest people are found out. Therefore, some politicians are found out.

3

3. A car dealer carries out the following calculations. What is the annual percentage rate? (Round your answer to the nearest tenth.)

$

$

$

$

$

$

$

$

List price									$	5,368.00
Options	1,625.00
Destination charges	200.00
Subtotal	7,193.00
Tax	431.58
Less trade-in	2,932.00
Amount to be financed	4,692.58
8% interest for 48 months	1,501.63
MONTHLY PAYMENT	129.05

1%

4. Suppose that you want to purchase a home for $450,000 with a 30 year mortgage at 6% interest. Suppose that you can put 40% down. Assume that the monthly cost to finance $1,000 is $6.00. What are the monthly payments?
$1

5.

In how many ways can eight books be arranged on a bookshelf?
1 ways

6.

A car dealer will sell you the $16,450 car of your dreams for $3,250 down and payments of $339.96 per month for 48 months. What is the total amount paid for both car and financing? (Round your answer to the nearest cent.)
$1

7. Many states offer personalized license plates. California, for example, allows personalized plates with seven spaces for numerals or letters, or one of the following four symbols.

What is the total number of license plates possible using this counting scheme? (Assume that each available space is occupied by a numeral, letter, symbol, or space. Give the answer in scientific notation. Round the first number to two decimal places.)
1 10 2

8. If the principal P = $500, the interest I = $200, and the rate r = 8%, find the following.

(a) What is the time?
1 years
(b) What is the future value?
$2

9. Evaluate the following expression.
1

10. Determine the down payment and the amount to be financed for each home described below.

(a) $290,290; 10% down
The down payment is $1
The amount to be financed is $2
(b) $940,000; 20% down
The down payment is $3
The amount to be financed is $4

11. Determine the comparable interest rate for a $40,000 loan when the quoted information is 12.8% + 0.5 pt + $300. (Round your answer to two decimal places.)
1%

11. Suppose an insurance agent offers you a policy that will provide you with a yearly income of $180,000 in 20 years. What is the comparable annual salary today, assuming an inflation rate of 5%?. (Round your answer to the nearest cent.)
$1

12. A certain lock has three tumblers, and each tumbler can assume seven positions. How many different possibilities are there?
1

13. Suppose you have a $1,000 charge on a credit card charging 1% monthly interest using the adjusted balance method. The minimum payment due in May is $30. How much will you save in interest charges in June by paying $60 instead?
$1

14. Find the ending balance in an account that opens with $5,550, earns 3.5% interest compounded monthly, and is held for 25 years. (Round your answer to the nearest cent.)
$1

15. If $960 is invested in an account that earns annual interest of 3.5%, compounded semiannually, what will the account balance be after 10 years? (Round your answer to the nearest cent.)
$1

16. Calculate the monthly finance charge for the following credit card transaction. Assume that it takes 10 days for a payment to be received and recorded and that the month is 30 days long. Assume 365 days in a year. (Round your answer to the nearest cent.)

$3,000 balance, 21% rate, $1,500 payment, adjusted balance method

$1

17. Evaluate the expression.

1

18. Suppose that you want to purchase a home for $450,000 with a 30 year mortgage at 6% interest. Suppose that you can put 30% down. Assume that the monthly cost to finance $1,000 is $6.00. What is the total amount of interest paid on the 30 year loan?
$1

19. Evaluate the expression.

1

20. Convert the following credit card rate to the APR. Nebraska, 0.03288% daily rate. (Round your answer to the nearest whole number.)
1%

21. At the time of George W.Bush’s presidency, there have been 43 presidents of the United States. Draw a Venn diagram showing the following facts about where each served before assuming the presidency. How many presidents served as vice-president and in the Senate, but did not serve in a cabinet post?

14 were vice-president.
6 served in the Senate.
15 held a cabinet post.
2 were VP and served in the Senate.
8 were VP and a held a cabinet post.
4 served in the Senate and held a cabinet post.
1 was VP, in the Senate, and held a cabinet post.

1 president(s)

22. Do the following.

(a) What is the sum of the first 30 consecutive odd numbers?
1Tell whether it illustrates inductive or deductive reasoning.

inductive reasoning deductive reasoning

(b) What is the sum of the first 300 consecutive odd numbers?
3Tell whether it illustrates inductive or deductive reasoning.

inductive reasoning deductive reasoning

23. How many skirt-blouse outfits can a woman wear if she has four skirts and six blouses?
1

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25.–/2.85 pointsSmithMath1 7.2.017.CMI.My Notes |

Question Part

Points

1

2

24. Find the amount of interest and the monthly payment for the loan. Purchase a car for $42,600 at 2.7% add-on rate for 5 years. (Round your answers to the nearest cent.)
$1 interest
$2 per month

25. A student is asked to answer 10 out of 13 questions on an exam.

(a) Classify the problem as a permutation, a combination, or neither.

Neither Combination Permutation

(b) In how many ways can she select the questions to be answered?
2

26. A club consists of 16 men and 19 women. In how many ways can they choose a president, vice president, treasurer, and secretary, along with an advisory committee of six people? (Round the answer to five decimal places.)
1 1011 ways

27. A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results are below.

41 said they drove alone.
30 rode in a carpool.
32 rode public transportation.
5 used both carpools and public transportation.
8 used both a carpool and sometimes their own cars.
8 used buses as well as their own cars.
4 used all three methods.

Use the figure to answer the question in the problem.

How many are using all three (Region VII)?
1 students

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