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Solutions to Final Exam - Finite Mathematics | MAT 112, Exams of Mathematics

Material Type: Exam; Professor: Rice; Class: Finite Mathematics; Subject: Mathematics; University: Missouri Western State University; Term: Summer 2009;

Typology: Exams

Pre 2010

Uploaded on 08/08/2009

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Exam I MAT 112 Summer 2009
Name:
Directions: Please show all work and be as neat as possible.
1.7 points Find the slope-intercept form of the equation of the line that passes through the points (3,5)and (10,16).
y=3x14
2.6 points
a)
Is this the graph of a
function?
No
b)
Is this the graph of a
function?
Yes
3.6 points Evaluate the following exactly without using your calculator.
a) 125
27 2/3=9
25 b) log41
64 =3
4.6 points The graph of f(x) = 3x230x+93 is a parabola. Find the vertex of this parabola.
Vertex: (5,18)
5.8 points Find all solutions xfor the following equations.
a) x210x+21 =0 b) 2x2x21 =0
x=3x=3
or x=7 or x=7
2
pf3
pf4

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Download Solutions to Final Exam - Finite Mathematics | MAT 112 and more Exams Mathematics in PDF only on Docsity!

Name: Directions: Please show all work and be as neat as possible.

7 points 1. Find the slope-intercept form of the equation of the line that passes through the points ( 3 , − 5 ) and ( 10 , 16 ).

y = 3 x − 14

6 points 2. a) Is this the graph of a function? No

b)^ Is this the graph of a function? Yes

6 points 3. Evaluate the following exactly without using your calculator.

a)

27

= 259 b) log 4 641 = − 3

6 points 4. The graph of f (x) = 3 x^2 − 30 x + 93 is a parabola. Find the vertex of this parabola.

Vertex: ( 5 , 18 )

8 points 5. Find all solutions x for the following equations.

a) x^2 − 10 x + 21 = 0 b) 2 x^2 − x − 21 = 0

x = 3 x = − 3 or x = 7 or x = (^72)

6 points 6. Find the interest rate on a loan of $7, 300 that charges $3, 285 of simple interest after 6 years.

Interest Rate: 7 .5%

7 points 7. How much should be invested now at 3.2% simple interest if $5, 500 is needed in 5 years?

Initial Investment: $4741. 38

6 points 8. What is the balance of an account after 15 years if $20, 000 is invested at a 2.5% interest rate compounded quarterly?

Final Balance: $29, 065. 89

7 points 9. Find the present value of an investment whose final amount is $52, 126 after 6 years at 6.75% interest com- pounded semiannually.

Present Value: $35, 000. 01

6 points 10.Find the term of a loan of $10, 000 at 17% interest compounded monthly that will have an amount due of $32, 597.

Term: 7 years

Formulas

(You may tear this page off)

Lines:

m = y 2 − y 1 x 2 − x 1

y = mx + b y − y 1 = m(x − x 1 )

Quadratics:

f (x) = ax^2 + bx + c

b 2 a , c −

b^2 4 a

Simple Interest:

I = Prt

A = P( 1 + rt)

Compound Interest:

A = P

r m

)mt

P = A

r m

)−mt

APY =

r m

)m − 1

Annuities:

FV = PMT

1 + (^) mr

)mt − 1 r m

PMT = FV

r ( m 1 + (^) mr

)mt − 1

t =

log

( FV

PMT

r m +^1

m log

1 + (^) mr

PV = PMT

1 + (^) mr

)−mt r m

PMT = PV

r m 1 −

1 + (^) mr

)−mt