1.
Evaluate
.
A.
4
B.
3
C.
8
D.
2
Hint
2.
Evaluate
.
A.
25
B.
10
C.
5
D.
Hint
3.
The
y
-intercept for the exponential function
y
=
b
x
is _____.
A.
(0, 1)
B.
(0, -1)
C.
(0, 2)
D.
(0, 0)
Hint
4.
Describe a situation that could be modeled by the equation
A
= 1000
e
0.08
t
.
A.
the amount in an account after $
t
is invested at 8% compounded continuously for 10 years
B.
the amount in an account after $1000 is invested at 8% compounded continuously for
t
years
C.
the amount in an account after $8000 is invested at 10% compounded continuously for
t
years
D.
the amount in an account after $8000 is invested at
t
% compounded continuously for 8 years
Hint
5.
Graph
y
= log
10
(
x
+ 3).
A.
B.
C.
D.
Hint
6.
Solve 5
4
x
= 72.
A.
0.4217
B.
0.3246
C.
0.5139
D.
0.6643
Hint
7.
Convert log
5
145 to a natural logarithm.
A.
B.
ln 145 - ln 5
C.
ln 5 - ln 145
D.
Hint
8.
Evaluate ln 5.
A.
0.6690
B.
1.7918
C.
2.1312
D.
1.6094
Hint
9.
Find the amount of time required for an investment to double at a rate of 8.5% if the interest is compounded continuously.
A.
6.04 yr
B.
10.43 yr
C.
8.15 yr
D.
9.97 yr
Hint
10.
Which inequality represents the graph shown?
A.
y
> -3
x
B.
y
< 3
-x
C.
y
> 3
-x
D.
y
< -3
x
Hint
11.
Find the balance of a $500 investment after 18 years earning 7.9% interest compounded continuously.
A.
$502.20
B.
$541.10
C.
$2,072.70
D.
$2,146.32
Hint
12.
Solve log
4
x
+ log
4
(
x
+ 3) = log
4
10.
A.
-2
B.
-5
C.
5
D.
2
Hint
13.
Find the value of log
9
219 using the change of base formula.
A.
0.2601
B.
3.1021
C.
2.4527
D.
1.3862
Hint
14.
Find the amount of time needed for an investment to double at a rate of 7.1% if the interest is compounded continuously.
A.
2.5 years
B.
11.2 years
C.
9.76 years
D.
4.3 years
Hint