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16 Question in Final Exam - Honors: Macroeconomic Principles | ECO 114, Exams of Introduction to Macroeconomics

Material Type: Exam; Professor: Kelly; Class: Honors: Macroeconomic Principles; Subject: Economics (Undergraduate); University: Bryant University; Term: Spring 2003;

Typology: Exams

Pre 2010

Uploaded on 08/16/2009

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MTH 60 โ€“ Practice test 2
Page 1 of 2
Remember that I will be grading the process you use to find your solution and the way in which you
present your steps; to earn full credit you need to follow the process and write your steps in a manner
consistent with that illustrated in class. To earn full credit you need to also get the correct solution.
1. Find the solution to the equation 7 5 10 10zz
+
=โˆ’
.
2. Find the solution set to the equation
(
)
54710tt t
โˆ’
โˆ’โˆ’=+.
3. Find the solution set to the equation
(
)
(
)
42 1 7 3 2www
+
+= โˆ’ โˆ’ .
4. Find the solution to the equation 51
1
24
xx
โˆ’
=+.
5. Find the solution set to the equation
(
)
(
)
0.03 2 7 0.09 0.06 5tt
โˆ’
+= โˆ’ +.
6. Janice needs to build a pen so that her pet ferret can play outside. Janice has 39.2 ft of
fencing and wants to build the pen so that the length of the long side is 4/3 the length of the
short side. How long should Janice make each side of the pen?
7. Solve each formula for the indicated letter.
a. Solve
kPVT= for P b. Solve
(
)
1AP r
=
+ for P
c. Solve
()
1
A
Pr=+ for r d. Solve 2
22Ar rh
ฯ€ฯ€
=+ for h
8. Write the set indicated on the number line below in both interval notation and set builder
notation.
9. Write the set indicated on the number line below in both interval notation and set builder
notation.
10. Solve the inequality
(
)
10 78 36
xโˆ’โ‰คโˆ’ โˆ’ . State your solution set using interval notation.
11. Solve the inequality 56 7 28xโˆ’โ‰คโˆ’ < . State your solution set using interval notation.
12. The sale price โ€“ after a 60% price reduction - on a garden hoe is $14. What was the original
price of the garden hoe?
t
[
)
x
]
pf2

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MTH 60 โ€“ Practice test 2

Page 1 of 2

Remember that I will be grading the process you use to find your solution and the way in which you present your steps; to earn full credit you need to follow the process and write your steps in a manner consistent with that illustrated in class. To earn full credit you need to also get the correct solution.

  1. Find the solution to the equation 7 z + 5 = 10 z โˆ’ 10.

2. Find the solution set to the equation โˆ’ 5 t โˆ’ ( 4 t โˆ’ 7 ) = 10 + t.

3. Find the solution set to the equation 4 2( + w ) + 1 = 7 w โˆ’ 3 ( w โˆ’ 2 ).

  1. Find the solution to the equation 5 1 1 2 4

x โˆ’ = x +.

5. Find the solution set to the equation โˆ’0.03 2 ( t + 7 ) = 0.09 โˆ’ 0.06 5( + t ).

  1. Janice needs to build a pen so that her pet ferret can play outside. Janice has 39.2 ft of fencing and wants to build the pen so that the length of the long side is 4/3 the length of the short side. How long should Janice make each side of the pen?
  2. Solve each formula for the indicated letter.

a. Solve k = PV T for P b. Solve A = P ( 1 + r )for P

c. Solve A = P ( 1 + r )for r d. Solve A = 2 ฯ€ r^2 + 2 ฯ€ r h for h

  1. Write the set indicated on the number line below in both interval notation and set builder notation.
  2. Write the set indicated on the number line below in both interval notation and set builder notation.

10. Solve the inequality 10 x โˆ’ 7 โ‰ค 8 โˆ’ ( 3 โˆ’ 6 x ). State your solution set using interval notation.

  1. Solve the inequality โˆ’ 56 โ‰ค โˆ’ 7 x < 28. State your solution set using interval notation.
  2. The sale price โ€“ after a 60% price reduction - on a garden hoe is $14. What was the original price of the garden hoe?

[ ) t

] x

MTH 60 โ€“ Practice test 2

Page 2 of 2

  1. Several numbers are described below. Find each number.

a. 55% of 100 b. The number that is 55% more than 100

c. the number that 25 is 80% less than d. the value of 1 t

when 8 7

t =

e. the value of 1 x

when 1 764

x = e. the number that 4023 is 350% more than

f. the value of โˆ’ w when w = โˆ’ 18 g. the reduced fraction equivalent of 20%

  1. Some questions about trapezoids.

a. Use the formula 1 ( 1 2 )

A = b + b h to determine the area of a trapezoid when each base has a length of 6.3 m and the height has a length of 9.6 m.

b. Determine b 2 if A = 20.3 ft^2 , b 1 = 4.5 ft, and h = 7 ft.

c. A certain trapezoid has a perimeter of 47.5 inches. The two non-parallel sides of the trapezoid each have a length of 8 inches and one of the two parallel sides has a length that is 3 inches less than twice the length of the other parallel side. Find the length of each of the parallel sides.

  1. Use a proportion to determine the total number (world-wide) of black haired Irish speakers if there are 20,000,000 Irish speakers in the world and if 3 out of every 25 Irish speakers has black hair.
  2. Itโ€™s alpaca time! For happy alpaca, each beast needs at least 1200 ft^2 of personal space. Suppose that you have one acre on which to raise alpacas. Whatโ€™s the maximum number of alpaca you should place on your ranch. There are 43,560 ft^2 in an acre.