Review Test 3
Math 1332
Name___________________________________
Express the fraction as a percent.
1) 2
5
1)
Write the decimal as a percent.
2) 0.00457
2)
Express the percent as a decimal.
3) 7 %
12
3)
Solve the problem.
4) 70 is what percent of 50?
4)
5) 0.7 is 5% of what number?
5)
6) 135% of what number is 54?
6)
7) Suppose that the luxury sales tax rate in a foreign country is 29%. A very wealthy socialite
7)
bought a diamond tiara for $185,000. How much tax does she pay?
The graph shows the level of subsidized daycare spending in a foreign country for the period 1995-1999. Use the graph to
answer the question.
8) Find the percent increase in daycare spending from 1995 to 1996. Round to the nearest
8)
percent.
1
Find the gross income, the adjusted gross income, and the taxable income.
9) A taxpayer earned wages of $65,100, received $840 in interest from a savings account, and
contributed $2300 to a tax-deferred retirement plan. He was entitled to a personal
exemption of $3500 and had deductions totaling $5680.
9)
The principal P is borrowed at simple interest rate r for a period of time t. Find the simple interest owed for the use of the
money. Assume 360 days in a year and round answer to the nearest cent.
10) P = $5700
10)
r = 7.5%
t = 20 months
The principal P is borrowed and the loan's future value, A, at time t is given. Determine the loan's simple interest rate, r,
to the nearest tenth of a percent.
11) P = $6900, A = $8702.63, t = 19 months
11)
Solve the problem.
12) A bank offers a CD that pays a simple interest rate of 8%. How much must you put in this
CD now in order to have $13,760 to replace all the windows in your house in 9 years?
12)
The principal represents an amount of money deposited in a savings account subject to compound interest at the given
rate. Find how much money will be in the account after the given number of years (Assume 360 days in a year.), and how
much interest was earned.
A=P 1+
r nt
n
A
P=
1+
r nt
n
A = Pe rt
Y= 1+
r n
-1
n
13) Principal: $8000
13)
Rate: 4%
Compounded: semiannually
Time: 5 years
Determine the present value, P, you must invest to have the future value, A, at simple interest rate r after time t. Round
answer to the nearest dollar.
14) A = $9053.50, r = 13.5%, t = 17 months
14)
Solve the problem.
A=P 1+
r nt
n
A
P=
1+
r nt
n
A = Pe rt
Y= 1+
r n
-1
n
15) James and Susan wish to have $10,000 available for their wedding in 4 years. How much
money should they set aside now at 6% compounded monthly in order to reach their
financial goal?
2
15)
Solve the problem.
16) Which is the better choice: $1000 deposited for a year at a rate of 5.5% compounded
monthly or at a rate of 5.4% compounded daily?
16)
Determine the periodic deposit. Round up to the nearest dollar. How much of the financial goal comes from deposits and
how much comes from interest?
A=
P 1+
P[(1 + r)t - 1]
A=
r
r nt
-1
n
A
P=
r
n
1+
r
n
r nt
-1
n
17) Periodic Deposit: $? at the end of each year
17)
Rate: 8% compounded annually
Time: 12 years
Financial Goal: $82,000
P
Use PMT =
r
n
r -nt
1- 1+
n
. Round to the nearest dollar.
18) Suppose that you are buying a car for $50,000, including taxes and license fees. You saved
18)
$10,000 for a down payment. The dealer is offering you two incentives:
Incentive A is a $5000 off the price of the car, followed by a five-year loan at 7.39%.
Incentive B does not have a cash rebate, but provides free financing (no interest) over
five years.
What is the difference in monthly payments between the two offers? Which incentive is
the better deal?
P
Use PMT =
r
n
r -nt
1- 1+
n
to determine the regular payment amount, rounded to the nearest dollar.
19) In terms of paying less in interest over the full term of the mortgage, which is more
19)
economical for a $200,000 mortgage : 30-year fixed at 7.00% or 20-year fixed at 6.50%?
Solve the problem. Round to the nearest tenth of a percent.
A=P 1+
r nt
n
P=
A
r nt
1+
n
A = Pe rt
Y= 1+
r n
-1
n
20) A passbook savings account has a rate of 6.3%. Find the effective annual yield if the
interest is compounded quarterly.
3
20)
The principal P is borrowed at simple interest rate r for a period of time t. Find the loan's future value, A, or the total
amount due at time t. Round answer to the nearest cent.
21) P = $11,000.00, r = 9%, t = 150 days
21)
Provide the following information.
a. Name the vertex of the angle.
b. Name the sides of the angle.
c. Name the angle in three different ways.
22)
22)
Find the measure of the complement of the angle.
23) 77.3°
23)
Find the measure of the angle in which ?° appears.
24)
24)
71°
Find the measures of angles 1, 2, and 3.
25)
25)
56°
4
The figure shows two parallel lines intersected by a transversal. One of the angle measures is given. Find the measure of
the indicated angle.
26)
26)
38°
Find the measure of 6.
Find the measure of angle A for the triangle shown.
27)
27)
44°
Find the measure of the angle.
28) Find the measure of angle 5 in the figure shown.
28)
Use similar triangles and the fact that corresponding sides are proportional to find the length of the side marked with an
x.
29)
29)
20 in.
12 in.
16 in.
5
Use the Pythagorean Theorem to find the missing length in the right triangle. Use a calculator to find square roots,
rounding, if necessary, to the nearest tenth.
30)
30)
a
7 cm
11 cm
Use the number of sides to name the polygon.
31)
31)
Find the perimeter of the figure named and shown. Express the perimeter in the same unit of measure that appears on the
given side or sides.
32)
32)
Parallelogram
49 m
27 m
27 m
49 m
Use formulas to find the area of the figure.
33)
33)
8 km
14.6 km
20 km
Find the surface area of the figure.
34)
34)
9 ft
9 ft
9 ft
6
Use the given right triangle to find the trigonometric function.
35) tan B
35)
Find the measures of the parts of the right triangle that are not given. Round your answers to the nearest whole number.
36)
36)
c
29°
a
b = 64 yd
Solve the problem. Round all circumference and area calculations to the nearest whole number.
37) How many flowers spaced every 4 inches are needed to surround a circular garden with a
15-foot radius? Round all circumference and area calculations to the nearest whole
number.
Solve the problem.
38) Find the sum of the measures of the angles of a pentagon.
7
37)
38)
Answer Key
Testname: MATH1332-REVIEW TEST 3
1) 40%
2) 0.457%
3) 0.00583
4) 140%
5) 14
6) 40
7) $53,650
8) 12%
9) $65,940; $63,640; $54,460
10) $712.50
11) 16.5%
12) $8000
13) amount in account: $9751.96; interest earned: $1751.96
14) $7600
15) $7870.98
16) The rate of 5.5% compounded monthly is better.
17) $4321; $51,852 from deposits and $30,148 from interest
18) approximately $33; Incentive B is the better deal.
19) The 20-year fixed rate at at 6.50% is more economical.
20) 6.5%
21) $11,412.50
22) a. point A
b. AB and AC
c. A, BAC, CAB
12.7°
109°
1 = 34°; 2 = 90°; 3 = 34°
38°
46°
50°
15 in.
8.5 cm
hexagon
152 m
204.4 km2
23)
24)
25)
26)
27)
28)
29)
30)
31)
32)
33)
34) 486 ft2
35) 9
40
36) a = 35 yd; c = 73 yd;
37) 282 flowers
38) 540°
B = 61°
8