basic mathematics geometry

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ASSIGNMENT 4
C17 College Mathematics
Directions: Answer each question in the handout and show all your work.
Use Microsoft Equation Editor or a similar tool to help you insert mathematical
equations and symbols in your response. For further assistance, download the Microsoft
Equation Editor Information document.
To show your work, clearly identify each step in your problem-solving process
demonstrating your progress at each stage.
Clearly identify your final answer.
1. (5 points) Write 73, 456 in words.
SEVENTY THREE THOUSAND FOUR HUNDRED AND FIFTY SIX
2. (5 points) Simplify the following:
a. 12,176 ÷ 24 = 507 8/10
b.
34 · 51
3(4)=5(1) 5
12
c. v9 · v36
d. 12(62-4)
e. 7345 · 1000
3. (5 points) Estimate each sum or difference by rounding to the nearest hundred.
a. 1423 6234 1867
b. 8734 ? 2398
4. (5 points) Write a fraction to represent the shaded area.
5. (5 points) Write each fraction in simplest form.
a.
b.
50
75
105
120
6. (5 points) Perform each indicated operation. Write each answer in simplest form.
a.
3
3
2
÷
3
1
b. 4 · 12
c.
d.
2
9
1
2
·
15
4
÷6
1
e. 1 3 · 6
·
4
12
1
4
3
5
7. (5 points) Find the LCM of the following.
a. 12 and 24
b. 7, 9, and 21
8. (5 points) Perform each indicated operation. Simplify your answers.
a.
b.
6

7
2
3

1
3
5
6

7
9
2
c. 15 – 5 9
d.
3 5
1
( – 3)
4 6
2 2
1 3
e. (5) (2)
9. (5 points) Perform the indicated operations. Round division answers to the nearest
thousandth if necessary.
a. 5.8 0.043 16.79
b. 20.01 × 11.1
c.
39.4
100
d. 3.32 ÷ 4 × 10
e. 0.2[5.28-(0.7)2]
10. (5 points) A school has 410 students and 25 teachers. How many students are there
per teacher?
11. (5 points) Find the circumference of a circle with radius 1.4 in. long. Then use the
approximation 3.14 for p and approximate the circumference.
12. (5 points) Write each ratio or rate as a fraction in simplest form.
a. 9 inches of rain in 30 days
1
b. 1 2 to
3
4
13. (5 points) Find each unit price and decide which is the better buy.
a. Oranges: 6 for $0.96 or
8 for $1.20
b. Muffins: 12 for $10.20 or
18 for $16.20
14. (5 points) Find the unknown number n in each proportion.
a.
b.
?
30
0.1
0.6
9
=
=
15
?
12
15. (5 points) Solve.
a. An engineering school accepts 2 out of every 11 applicants. If the school accepts
460 students in Fall of 2012, how many students applied for admission?
b. On a map, 3 inches corresponds to 100 miles. Find the actual distance between
1
two cities that are 7 inches apart on the map.
2
16. (5 points) Write each percent as a decimal.
a. 12.3%
b. 152%
17. (5 points) Write each decimal as a percent.
a. 0.71
b. 0.059
18. (5 points) Solve.
a. What number is 60% of 300?
b. 0.2% of what number is 24?
19. (5 points) Solve. Round all dollar amounts to the nearest cent.
a. A cleaning solution has 40% vinegar. Find the amount of vinegar in 32 ounces of
the solution.
b. If the sales tax is 7.12%, find the total amount charged for a lamp priced at $60.
20. (5 points) Solve. Round all dollar amounts to the nearest cent.
a. Marty borrowed $450 at 9% interest for 3 months. Find the total amount due at
the end of the 3 months.
b. $5000 is compounded quarterly at a rate of 10%. Find the total amount in the
compound interest account at the end of 20 years. (The compound interest factor
is 7.20957).

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