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0
rx =
, what does 49x equal?
a. 4
0
b. 16
0
c. -16
d. -4
0
1
4
Q2. A fossilized leaf contains 120/o of its normal amount of carbon 14. How old is the fossil (to the
nearest year)? Use 5600 years as the half-life of carbon 14.
0 a. 1031
0 b. 17,099
0 c. 20,040
0 d. 36,108
Q3. The function f(x) = 300(0.5) x/ 60 models the amount in pounds of a particular radioactive
material stored in a concrete vault, where x is the number of years since the material was put into
the vault. Find the amount of radioactive material in the vault after 170 years. Round to the nearest
whole number.
0 a. 425 pounds
0 b. 42 pounds
0 c. 235 pounds
0 d. 53 pounds
Q4. What principal invested at 80/o compounded continuously for 4 years will yield \$1190? Round
the answer to two decimal places.
0 a. \$864.12
0 b. \$1188.62
0 c. \$1638.78
0 d. \$627.48
Q5. Express y as a function of x. The constant C is a positive number.
In y
0
0
0
=In 4x + In C
a. y = 4Cx
b. y = 4x + C
c. y = (4xf
d. y = x + 4C
0
Q6. Change the exponential expression to an equivalent expression involving a logarithm.
5x
=125
0
a. log12s x = 5
0
b.
0
c. log12s 5
0
d. logx 125
logs 125 = x
=x
=5
Q7. Change the logarithmic expression to an equivalent expression involving an exponent.
In
1
e6
=
-6
0
a. e-6 =
0
b.
0
C.
0
d.
1
e6
1
[e 6)
-6
=
e
1
e6
-6e =
1
[e 6)
e = -6
QS. The function f is one-to-one. Find its inverse.
f(x)
= “JX
3~
+4
0
a. f- 1 (x)
= x 3 + 16
=x – 4
0
b. f – (x)
0
c. f -1 (x) =
0
d. f- 1 (x)
1
1
x3 -4

= x3 –
4
Q9. Solve the equation.
=4
log3X
+
0
a. {-3, 27}
0
0
b. {27}
c. No real solutions
0
d. {53}
log 3 (x – 24)
QlO. Find the effective rate of interest.
50.110/o compounded daily
0 a. 50.233%
1
, __ –
..
,,…..,y–i –
~ —-()
1
-……. . –::–
0
0
c. 50.315%
0
d. 64.997%
b. 51.015%
Q11. Solve for pH: pH
0
a. 6 .02
0
0
b. 5.02
c. 6.98
0
d. 5.98
= -log
10
[H+] Find the pH if the [H+]
= 9.6 x
10-6 •
Q12. Express as a single logarithm.
31og5x + Slog5(X – 6)
0 a. log5x 3(x – 6) 5
Q
b. log5X(X – 6) 15
0
c. log5x(x – 6)
d. 15 IOg5X(X – 6)
Q
Q13. Change the exponential expression to an equivalent expression involving a logarithm.
ex= 25
0
a. log
25
0
0
0
b. log
x
x = e
e = 25
c. In x = 25
d. In 25 = x
Q14. The half-life of plutonium-234 is 9 hours. If 70 milligrams is present now, how much will be
0
a . 0.689
0
b. 44.096
0
c. 0 .001
0
d. 23 .091
QlS. Solve the equation.
log327
=x
0
a. {81}
0
b. {9}
0
0
c. {3}
d. {30}
Q16. pH
0
0
0
0
a.
b.
c.
d.
= -log •• [H+]
3.98
2.51
3.98
2 .51
Find the [H+] if the pH
= 8.4.
x 10· 8
x 10·8
x 10· 9
x 10·9
Q17. Find functions f and g so that the composition off and g is H.
H(x)
=
2
0
0
0
14 a. f(x)
b. f(x)
c. f(x)
3x 1
= x 2 ; g(x) = 4 – 3 Ix I
= 4 – 3lxl; g(x) = x 2
=!xi; g(x) = 4 – 3x 2
0
d. f(x) = 4 – 3x
2
;
g(x) = lxl
Q18. The function A= Aoe· 0 · 0099x models the amount in pounds of a particular radioactive material
stored in a concrete vault, where x is the number of years since the material was put into the vault.
If 400 pounds of the material are initially put into the vault, how many pounds will be left after 40
yea~?
·
0
a. 350 pounds
0
b. 269 pounds
0
c. 114 pounds
0
d. 119 pounds
Q19. Find the present value. Round to the nearest cent.
To get \$10,000 after 2 years at 18% compounded monthly
0
a. \$5000 .00
0
b. \$6995.44
0
0
c. \$8363.87
.
d. \$11,956.18
Q20. Find the amount that results from the investment.
\$480 invested at 16% compounded quarterly after a period of 4 years
0
a. \$864.45
0
b. \$419.03
0
c. \$869.11
0
d. \$899.03
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