Exam 3 Review
.pdf
keyboard_arrow_up
School
University of Texas, Arlington *
*We aren’t endorsed by this school
Course
1441
Subject
Mathematics
Date
Feb 20, 2024
Type
Pages
15
Uploaded by BrigadierTigerPerson369
11/14/21, 3:21 PM
Exam 3 Review (Optional Extra Credit Assignment)-Aida Allen
https://xlitemprod.pearsoncmg.com/api/v1/print/highered
1/15
1.
2.
3.
4.
5.
6.
7.
Student: _____________________ Date: _____________________
Instructor: Aida Allen Course: 2218-MATH-1301-009-
CONTEMPORARY MATH
Assignment: Exam 3 Review (Optional
Extra Credit Assignment)
Arrange the quantities in order from smallest to largest.
, , 2.3 dam 0.19 km 180 cm
Choose the correct answer below.
A.
, , 0.19 km
180 cm
2.3 dam
B.
, , 180 cm
2.3 dam
0.19 km
C.
, , 0.19 km
2.3 dam
180 cm
D.
, , 2.3 dam
0.19 km
180 cm
E.
, , 2.3 dam
180 cm
0.19 km
F.
, , 180 cm
0.19 km
2.3 dam
Complete.
____ 7 dam =
m
The answer is .
Fill in the missing values.
___ 3.23 mℓ =
ℓ
3.23 mℓ =
ℓ
(Type an integer or a decimal.)
Convert to Celsius. Use or , where F is the degrees in Fahrenheit and C is the degrees in Celsius.
C =
(F − 32)
5
9
F =
C + 32
9
5
F
91
°
F
C
91
°
=
°
(Simplify your answer. Type an integer or a decimal. Round to the nearest tenth as needed.)
Convert C to Fahrenheit. Use or , where F is the degrees in Fahrenheit and C is the degrees in Celsius.
47
°
C =
(F − 32)
5
9
F =
C + 32
9
5
C
F
47
°
=
°
(Simplify your answer. Type an integer or a decimal.)
Convert the quantity to the indicated units.
pounds to kilograms
30
Weight (Mass)
1 ounce (oz)
28 grams (g)
=
1 pound (lb)
0.45 kilogram (kg)
=
1 ton (T)
0.9 tonne (t)
=
lb
kg
(Round to the nearest hundredth as needed.)
30
Convert to the indicated metric unit. Convert to square . 30 mi
2
kilometers
Convert to square .
30 mi
2
kilometers
30 mi
2
=
km
2
(Round to the nearest hundredth as needed.)
Conversion to Metric units of Area
1 sq inch (in
) = 6.5 sq cm (cm
)
2
2
1 sq foot (ft
) = 0.09 sq m (m
)
2
2
1 sq yard (yd
) = 0.8 sq m (m
)
2
2
1 sq mile (mi
) = 2.6 sq km (km
)
2
2
11/14/21, 3:21 PM
Exam 3 Review (Optional Extra Credit Assignment)-Aida Allen
https://xlitemprod.pearsoncmg.com/api/v1/print/highered
2/15
8.
9.
10.
Convert the given quantity to the indicated units. to fluid ounces
26.9 mℓ
1 teaspoon (tsp)
5 milliliters (
)
=
mℓ
1 tablespoon (tbsp)
15 milliliters (
)
=
mℓ
1 fluid ounce (fl oz)
30 milliliters (
)
=
mℓ
1 cup (c)
0.24 liter ( )
=
ℓ
1 pint (pt)
0.47 liter ( )
=
ℓ
1 quart (qt)
0.95 liter ( )
=
ℓ
1 gallon (gal)
3.8 liters ( )
=
ℓ
fl oz (Round to the nearest hundredth as needed.)
26.9 mℓ
(1) Determine the area of the triangle.
3 m
80 cm
A
(1) =
(Type a whole number.) cm.
cm .
2
cm .
3
m.
(1) (2) Determine (a) the area and (b) the perimeter of the quadrilateral. 6 ft
2 yd
a.
The area of the quadrilateral is (1) (Type a whole number.) b. The perimeter of the quadrilateral is (2) (Type a whole number.) yd.
ft .
2
ft .
3
ft.
ft.
ft .
3
yd
2
ft .
2
11/14/21, 3:21 PM
Exam 3 Review (Optional Extra Credit Assignment)-Aida Allen
https://xlitemprod.pearsoncmg.com/api/v1/print/highered
3/15
11.
12.
13.
Find the simple interest. Assume the rate is an annual rate. Assume 360 days in a year.
Principal
Rate
Time in Months
Interest
p
$
=
1250
r
%
= 2
1
2
t = 9
The interest is $
.
(Round to the nearest cent.)
Use the compound interest formula to compute the total amount accumulated and the interest earned.
$
for years at % compounded 2500
5
2.3
monthly
The total amount accumulated after years is $
.
5
(Round to the nearest cent as needed.)
The amount of interest earned is $
.
(Round to the nearest cent as needed.)
Use the present value formula to determine the amount to be invested now, or the present value needed.
The desired accumulated amount is $
after years invested in an account with % interest compounded .
110,000
6
3
quarterly
The amount to be invested now, or the present value needed, is $
.
(Round to the nearest cent as needed.)
11/14/21, 3:21 PM
Exam 3 Review (Optional Extra Credit Assignment)-Aida Allen
https://xlitemprod.pearsoncmg.com/api/v1/print/highered
4/15
14.
1: More Info
A partial payment is made on the date indicated. Use the United States rule to determine the balance due on the note at the date of maturity. (The Effective Date is the date the note was written.) Assume the year is not a leap year.
Principal
Rate
Effective
Date
Partial Payment
Maturity
Date
Amount
Date
$4000
%
5
1
April
$1000
1
May
1
June
Click the icon to view a table of the number of the day of the year for each date.
1
The balance due on the note at the date of maturity is $
.
(Round to the nearest cent as needed.)
Add 1 day for leap year if February 29 falls between the two dates under consideration.
11/14/21, 3:21 PM
Exam 3 Review (Optional Extra Credit Assignment)-Aida Allen
https://xlitemprod.pearsoncmg.com/api/v1/print/highered
5/15
15.
16.
2: Partial APR Table
Landon Wallin is an auto mechanic who wishes to start his own business. He will need $
to purchase tools and equipment. Landon decides to finance the purchase with a -month fixed installment loan with an APR of %.
5100
48
5.5
a) Determine Landon's finance charge.
b) Determine Landon's monthly payment.
Click the icon to view the partial APR table.
2
a)
Landon's finance charge is $
.
(Round to the nearest cent as needed.) b) Landon's monthly payment is $
.
(Round to the nearest cent as needed.) Number of payments
Annual Percentage Rate
4.5%
5.0%
5.5%
6.0%
6.5%
(Finance charge per $100 of amount financed)
36
7.09
7.90
8.71
9.52
10.34
48
9.46
10.54
11.63
12.73
13.83
60
11.86
13.23
14.61
16.00
17.40
3: table of interest rates
Ray Flagg took out a 60-month fixed installment loan of $12,000 to open a new pet store. He paid no money down and began making monthly payments of $
. Ray's business does better than expected and instead of making his th payment, Ray wishes to repay his loan in full. Complete parts a)
through c)
.
232
36
Click the icon to view the table of interest rates.
3
a)
Determine the APR of the installment loan.
APR
%
=
b)
How much interest will Ray save by paying off the loan early? (Use the actuarial method)
Interest saved
$
(Round to the nearest cent.)
=
c)
What is the total amount due to pay off the loan?
The total amount due
$
(Round to the nearest cent.)
=
Annual Percentage Rate
Number of Payments
3.0%
3.5%
4.0%
4.5%
5.0%
5.5%
6.0%
6.5%
7.0%
(Finance charge per $100 of amount financed)
24
3.15
3.69
4.22
4.75
5.29
5.83
6.37
6.91
7.45
30
3.92
4.58
5.25
5.92
6.59
7.26
7.94
8.61
9.30
36
4.69
5.49
6.29
7.09
7.90
8.71
9.52
10.34
11.16
48
6.24
7.31
8.38
9.46
10.54
11.63
12.73
13.83
14.94
60
7.81
9.15
10.50
11.86
13.23
14.61
16.00
17.40
18.81
11/14/21, 3:21 PM
Exam 3 Review (Optional Extra Credit Assignment)-Aida Allen
https://xlitemprod.pearsoncmg.com/api/v1/print/highered
6/15
17.
18.
19.
20.
21.
22.
23.
The Fritzes are buying a house that sells for $
. The bank is requiring a minimum down payment of %. To obtain a -year mortgage at % interest, they must pay points at the time of closing.
154,000
10
40
7.0
3
a) Determine the required down payment.
b) Determine the amount of the mortgage on the property with the % down payment.
10
c) Find the cost of points on the mortgage.
3
a) The required down payment is $
.
b) The mortgage on the property is $
.
c) The cost of the points on the mortgage is $
.
3
(Round to the nearest dollar as needed.)
Use the sinking fund formula shown to the right to determine the semiannual payments with % interest are compounded semiannually for years to accumulate $
.
9
8
20,000
p =
A
r
n
1 +
r
n
nt
− 1
The semiannual invested payment is $
.
(Round up to the nearest cent.) To save for graduate school, a student invests $
semiannually in an ordinary annuity with interest compounded semiannually. Determine the accumulated amount in the student's annuity after years.
2210
3%
15
The accumulated amount will be $
.
(Round to the nearest cent as needed.)
A monk crossbred plants, which can have purple or white flowers, and obtained plants with white flowers and plants with purple flowers. Find the empirical probability that a plant had each type of flower.
537
276
The probability a plant had white flowers is . (Round to the nearest hundredth as needed.)
The probability a plant had purple flowers is . (Round to the nearest hundredth as needed.)
You are dealt one card from a standard 52-card deck. Find the probability of being dealt a diamond.
The probability of being dealt is .
a diamond
(Type an integer or a simplified fraction.)
You are dealt one card from a standard 52-card deck. Find the probability of being dealt the of .
three
clubs
The probability of being dealt the of is .
three
clubs
(Type an integer or a simplified fraction.)
A die is tossed. Find the odds against rolling a number greater than .
3
The odds against rolling a number greater than are :
.
3
(Simplify your answer.)
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help