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Advanced Algebra Q3 Review

Total questions: 160

Worksheet time: 13hrs 11mins

Name
Class
Date
1.
Re-write the expression in radical form.
x2/3
a)
∛x2
b)
√x3
c)
(1/x)
d)
∛x
2.
 Write in exponential form
 ∛x⁷
a)
x⁷∕ ³
b)
x3⁄7
c)
3x⁷
d)
7x³
3.
The square root of 36x is __________
a)
6
b)
6x
c)
4x
d)
6x2
4.
What is the value of 27⅓?
a)
27
b)
9
c)
3
d)
1/3
5.
According to exponent rules, when we multiply the coefficients we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
6.
Simplify the following expression:
a)
5
b)
25
c)
125
d)
625
7.
Simplify:
a)
2
b)
8
c)
16
d)
32
8.
Simplify:
a)
2
b)
4
c)
8
d)
16
9.
2
a)
C
b)
A
c)
V
d)
E
10.
8
a)
W
b)
O
c)
R
d)
K
11.
Write the expression in exponential form:
∜x5
a)
x4/5
b)
x5/4
c)
x5
d)
x1/4
12.
Write the expression in exponential form:
∛(2x)2
a)
(2x)2/3
b)
2x2/3
c)
2x3/2
d)
(2x)3/2
13.
Simplify the expression:
361/2
a)
6
b)
36
c)
-6
d)
1296
14.
Simplify the expression:
271/3
a)
3
b)
9
c)
27
d)
33
15.

Rewrite: 4-3

a)

143\frac{1}{4^3}  

b)

143\frac{1}{4^{-3}}  

c)

434^3  

d)

143\frac{1}{-4^3}  

16.

Rewrite: -8-3

a)

183\frac{1}{-8^{-3}}  

b)

838^3  

c)

183\frac{1}{8^3}  

d)

183\frac{1}{-8^3}  

17.

Simplify

a)

-1

b)

132\frac{1}{32}  

c)

132-\frac{1}{32}  

d)

1

18.

135\frac{1}{3^5}  is the same as

a)

353^{-5}  

b)

353^5  

c)

15

d)

35\frac{3}{5}  

19.

(45)2\left(\frac{4}{5}\right)^{-2}  

a)

45\frac{4}{5}  

b)

(54)2\left(\frac{5}{4}\right)^2  

c)

1(45)\frac{1}{\left(\frac{4}{5}\right)}  

d)

1625\frac{16}{25}  

20.

5272\frac{5^{-2}}{7^{-2}}  

a)

1049\frac{10}{49}  

b)

2549\frac{25}{49}  

c)

4925\frac{49}{25}  

d)

1014\frac{10}{14}  

21.

Write with positive exponents:

a)

a-2

b)

a2

c)

1a2\frac{1}{a^2}

d)

2a

22.
Simplify.
a)
y60
b)
1/y16
c)
y-16
d)
y4
23.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
24.

Simplify

a)

7a5b3\frac{7a^5}{b^3}


b)

b37a5\frac{b^3}{7a^5}

c)

7b3a5\frac{7b^3}{a^{-5}}

d)

7b3a5\frac{7b^3}{a^5}

25.

Rewrite using a positive exponent.

2w-13

a)

-w13

b)

2w13\frac{2}{w^{13}}


c)

2w13\frac{2}{w^{-13}}

d)

2w132w^{13}

26.

Simplify. Hint: do product rule first, then negative rule!

a)

42x542x^5


b)

42x5\frac{42}{x^5}

c)

42x5\frac{42}{x^{-5}}

d)

142x5\frac{1}{42x^5}

27.
According to exponent rules, when we raise a power to another exponent we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
28.

When dividing powers with the same base, you _______________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

29.

x6 / x2

a)

x4

b)

x12

c)

x3

d)

x8

30.
m ⋅ m⋅ m6
a)
m30
b)
m12
c)
12m
d)
mm11
31.
(12x3y)2
a)
144x6y2
b)
24x6y2
c)
144x5y3
d)
24x5y3
32.
a)
10t2
b)
10/t2
c)
18t2
d)
2t
33.

Simplify:

a)
b)
c)
d)
34.

(3x7)(x2y5)(2x3y)\left(3x^7\right)\left(x^2y^5\right)\left(2x^3y\right)  

a)

1x2y41x^2y^4  

b)

6x2y46x^2y^4  

c)

6x12y66x^{12}y^6  

d)

5x12y65x^{12}y^6  

35.
According to exponent rules, when we multiply the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
36.
a)
b)
c)
37.
a)
2 / x2
b)
-2x2
c)
2x2
d)
2x14
38.
a)
A
b)
B
c)
C
d)
D
39.
a)
a
b)
b
c)
c
d)
d
40.
a)
a
b)
b
c)
c
d)
d
41.
a)
A
b)
B
c)
C
d)
D
42.

yx13xy32yx^{\frac{1}{3}}\cdot xy^{\frac{3}{2}}  

a)

x43y52x^{\frac{4}{3}}y^{\frac{5}{2}}  

b)

x23y12x^{\frac{2}{3}}y^{\frac{1}{2}}  

c)

x13y32x^{\frac{1}{3}}y^{\frac{3}{2}}  

d)

x23y43x^{\frac{2}{3}}y^{\frac{4}{3}}  

43.

Simplify . Your answer should contain only positive exponents.  (a12b12)1\left(a^{\frac{1}{2}}b^{\frac{1}{2}}\right)^{-1}  

a)

1a12b12\frac{1}{a^{\frac{1}{2}}b^{\frac{1}{2}}}  

b)

a12b12a^{\frac{1}{2}}b^{\frac{1}{2}}  

c)

1a12b12-\frac{1}{a^{\frac{1}{2}}b^{\frac{1}{2}}}  

d)

a12b12-a^{\frac{1}{2}}b^{\frac{1}{2}}  

44.

Simplify . Your answer should contain only positive exponents.  2x12y132x43y74\frac{2x^{\frac{1}{2}}y^{\frac{1}{3}}}{2x^{\frac{4}{3}}y^{-\frac{7}{4}}}  

a)

y2512x56\frac{y^{\frac{25}{12}}}{x^{\frac{5}{6}}}  

b)

x56y2512\frac{x^{\frac{5}{6}}}{y^{\frac{25}{12}}}  

c)

2y2512x56\frac{2y^{\frac{25}{12}}}{x^{\frac{5}{6}}}  

d)

y1712x56\frac{y^{\frac{17}{12}}}{x^{\frac{5}{6}}}  

45.

Simplify . Your answer should contain only positive exponents.  (6b)43\left(6b\right)^{\frac{-4}{3}}  

a)

1643b43\frac{1}{6^{\frac{4}{3}}b^{\frac{4}{3}}}  

b)

6b43\frac{6}{b^{\frac{4}{3}}}  

c)

b436\frac{b^{\frac{4}{3}}}{6}  

d)

643b43\frac{6^{\frac{4}{3}}}{b^{\frac{4}{3}}}  

46.

Simplify . Your answer should contain only positive exponents.  3y54y12y13\frac{3y^{-\frac{5}{4}}}{y^{-1}•2y^{-\frac{1}{3}}}  

a)

3y1122\frac{3y^{\frac{1}{12}}}{2}  

b)

3y19122\frac{3y^{\frac{19}{12}}}{2}  

c)

32y112\frac{3}{2y^{\frac{1}{12}}}  

d)

32y1912\frac{3}{2y^{\frac{19}{12}}}  

47.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
48.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
a)
Growth
b)
Decay
49.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
50.
Is this exponential growth or decay?
a)
Growth
b)
Decay
51.
Identify the domain of this exponential function?
a)
All real numbers
b)
All real number greater than or equal to 0
c)
All real numbers greater than 0
d)
All real numbers less than or equal to 1
52.
Identify the range of the function shown here.
a)
All real numbers greater than 3
b)
All real numbers greater than or equal to 3
c)
All real numbers less than 3
d)
All real numbers less than or equal to 3
53.
Solve 33 = 34x + 2
a)
¼
b)
c)
½
d)
54.
23n = 4
a)
2
b)
3
c)
2/3
d)
4
55.

53x2=53x5^{-3x-2}=5^{3x}  

a)

- 13\frac{1}{3}  

b)

13\frac{1}{3}  

c)

-3

d)

3

56.

9x2=19^{x-2}=1  

a)

No Solution

b)

2

c)

-2

d)

All Real Numbers

57.

Jacob borrows $500 from Abraham and agrees to have the loan compounded annually for 5 years with an interest rate of 2.5%. How much will the total amount be that Jacob owes?

a)

$565.70

b)

$262609.38

c)

$65.70

d)

$630.20

58.
Karla invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Karla earn in 15 years?
a)
$1,584.62
b)
$2,651.39
c)
$2,706.86
d)
$1,825.10
59.
Emily would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.
a)
$15,415.94
b)
$15,683.28
c)
$15,927.56
d)
$16,109.05
60.
Principal: $5000
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.
a)
$12712.31
b)
$12,749.30
c)
$12,657.59
d)
$12550.84
61.

Convert 16 = 2x to a Log

a)

Log2(x) = 16

b)

Log2(16) = x

c)

Log16(x) = 2

d)

Logx(16) = 2

62.

Convert Log3(x) = 4 to an exponent

a)

3x = 4

b)

34 = x

c)

x3 = 4

d)

4x = 3

63.
Change to Exponential Form:
log636 = 2
a)
26=36
b)
62=36
c)
362=6
d)
366=2
64.
Evaluate log41
a)
1
b)
0
c)
4
d)
undefined
65.
log(x+6) = 1
a)
4
b)
4.222
c)
-5
d)
-9.550
66.

 Convert to logarithmic form: 29=5122^9=512  

a)

log9512=2\log_9512=2  

b)

log2512=9\log_2512=9  

c)

log29=512\log_29=512  

d)

log92=512\log_92=512  

67.
a)
5
b)
13
c)
84
d)
-20
68.

log4(3x-1)=log4(2x+3)

a)

4

b)

3

c)

1

d)

8

69.
a)

A

b)

B

c)

C

d)

D

70.

ln (5x + 6) = 5

a)

154.413

b)

30.883

c)

147.213

d)

28.483

71.

Rewrite ex = 9 using a logarithm

a)

ln x = 9

b)

ln 9 = x

c)

logx e = 9

d)

log9 x = e

72.

3e2x + 10 = 25

a)

{-3.940}

b)

{1.228}

c)

{0.451}

d)

{0.805}

73.
In an exponential function, what does the 'a' represent? 
a)
SLOPE
b)
RATE OF CHANGE
c)
INITIAL AMOUNT
d)
GROWTH OR DECAY FACTOR
74.
A line that the graph continually approaches but never touches is a(n) _____________________
a)
parabola
b)
asymptote
c)
rational function
d)
None of these
75.

What is the asymptote of y = 2x ?

a)

y = 0

b)

x = 0

76.

What is the asymptote of y = 2x - 3

a)

y = 0

b)

y = -3

c)

x = 0

d)

x = -3

77.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?
a)
.08
b)
1.08
c)
.92
d)
8
78.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
a)
Growth
b)
Decay
79.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
a)
Growth
b)
Decay
80.
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
a)
y=5000(0.7)x
b)
y=30(5000)x
c)
y=5000(1.3)x
d)
y=5000xx
81.
The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?
a)
9766
b)
9006
c)
9765
d)
5433
82.
A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. How would you write your decay factor, b?
a)
-5
b)
-.05
c)
.95
d)
.05
83.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
84.
A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?
a)
14327
b)
4309
c)
839
d)
7680
85.
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?
a)
$23,219.72
b)
$136.72
c)
$51,710.94
d)
$16,710.94
86.
Identify the y-intercept (initial value) in the function f(x)=13(.27)x
a)
(.27)x
b)
.27
c)
13
d)
3.51
87.
What is the domain of the function shown below?
a)
-2 < x < 5
b)
0 < x < 12
c)
y > 0
d)
All Real Numbers
88.
Given y=3determine the y-intercept 
a)
(0,1)
b)
(0,3)
c)
No Y-intercept
d)
y=1
89.
If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?
a)
$1,225,54
b)
$2,225.54
c)
$22,255.40
d)
$225.54
90.
Which equation best describes the graph? 
a)
y = 2x + 4
b)
y = 2x - 3
c)
y = 2x - 4
d)
y = 2x + 3 
91.

Consider the equation 70(0.8)x + 2. What is the equation of the asymptote?

a)

y = 70

b)

y = 0.8

c)

y = 2

d)

y = 0.2

92.

f(x)=5(3)x+4f\left(x\right)=5\left(3\right)^x+4  What is the y intercept of the function f?

a)

5

b)

4

c)

9

d)

15

93.
What is the range of this graph?
a)
y = 6
b)
(0, -4)
c)
y > -6
d)
y < -6
94.

What is the range of the graph

a)

y >2

b)

y = 2

c)

y < 2

d)

y < 0

95.

Which graph matches the function y = -4(1/2)x - 2

a)
b)
c)
d)
96.

Which is the correct equation for the given graph?

a)

y=2x-2-1

b)

y=2x+2-1

c)

y=2x-2+1

d)

y=2x+2+1

97.

Which is the correct equation for the given graph?

a)

y=(1/2)x-2-1

b)

y=(1/2)x+2-1

c)

y=(1/2)x-2+1

d)

y=(1/2)x+2+1

98.
Domain?
a)
(-∞, ∞)
b)
(0, ∞)
c)
(-∞, 0)
d)
[0, ∞)
99.
Range?
a)
(-8, ∞)
b)
[-8, ∞)
c)
(-∞, ∞)
d)
(∞, -8)
100.
What is the range of the graph?
a)
(-∞,∞)
b)
(2, ∞)
c)
(-5,∞)
d)
(-∞,6)
101.
What is the range of the graph?
a)
(-∞,∞)
b)
(2, ∞)
c)
(-3,∞)
d)
(0,-2)
102.
a)

3(3)x+2-3\left(3\right)^x+2

b)

3(13)x+2-3\left(\frac{1}{3}\right)^x+2

c)

3(3)x2-3\left(3\right)^x-2

d)

3(13)x2-3\left(\frac{1}{3}\right)^x-2

103.
a)

3(4)x+2-3\left(4\right)^x+2

b)

3(14)x+2-3\left(\frac{1}{4}\right)^x+2

c)

3(4)x+23\left(4\right)^x+2

d)

3(14)x+23\left(\frac{1}{4}\right)^x+2

104.
a)

y=(14)x2y=-\left(\frac{1}{4}\right)^x-2

b)

y=4x2y=4^x-2

c)

y=4x2y=-4^x-2

d)

y=(14)x2y=\left(\frac{1}{4}\right)^x-2

105.

Which equation matches the graph?

a)

y = 4x - 6 - 3

b)

y = 4x + 6 - 3

c)

y = 4x - 6 + 3

d)

y = 4x + 6 + 3

106.
a)
The end behavior of the graph is x →∞, y→⁻∞ and x →⁻∞,y→⁻∞
b)
The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞
c)
The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→2
d)
The end behavior of the graph is x →∞,y→2 and x→⁻∞, y→∞
107.

As x → -∞ , f(x) →

a)

-4

b)

-3

c)

d)

-∞

108.

As x → ∞ , f(x) →

a)

-4

b)

-3

c)

d)

-∞

109.
Solve for b:
43b - 3 = 1/16
a)
7
b)
-1/4
c)
1/2
d)
1/3
110.
Solve: 98-x = 27x-3
a)
x = 5
b)
x = -5
c)
x = 1/5
d)
x = -1/5
111.

343(2x)=495343^{\left(-2x\right)}=49^5  

a)

16

b)

-7/2

c)

-5/3

d)

5/3

112.

62x=(16)(x1)6^{2x}=\left(\frac{1}{6}\right)^{\left(x-1\right)}  

a)

-3

b)

-1

c)

-1/3

d)

1/3

113.

Solve the equation for x

a)

1.771

b)

0.5646

c)

1.6203

d)

1.8456

114.

Solve the equation for x

a)

1.6023

b)

0.7122

c)

0.6477

d)

1.544

115.

Solve the equation for x

a)

1.585

b)

3.169

c)

0.792

d)

1.084

116.

Solve for x

a)

1.631

b)

2.262

c)

1.734

d)

1.465

117.

Solve for x

a)

1.893

b)

2.807

c)

3.169

d)

2.971

118.

Solve for x

a)

-0.4605

b)

1.5395

c)

3.5395

d)

-0.4731

119.

Solve for x

a)

-0.659

b)

-0.528

c)

-2.159

d)

-0.478

120.
a)

0.1487

b)

0.2568

c)

0.1699

d)

0.1135

121.

Solve for x

a)

0.562

b)

1.237

c)

1.431

d)

0.431

122.

Solve for x.

8ex+1 = 40

a)

0.61

b)

2.6

c)

No Solution

d)

-1.61

123.

Solve for x.

ex-10 + 9 = 51

a)

13.7

b)

-13.7

c)

No Solution

d)

-6.26

124.

Rewrite 1.6(x+2) = 14.1

a)

log1.614.1 = x+2

b)

log1.6(x+2) = 14.1

c)

log14.1(x+2) = 1.6

d)

log(x+2)1.6 = 14.1

125.

Solve the equation. e10v+6=38e^{10v}+6=38  

a)

0.35

b)

0.15

c)

0.19

d)

0.18

126.

Solve the equation. 8(2n+5)=29.3-8\left(2^{n+5}\right)=-29.3  

a)

-4.44

b)

No solution

c)

-3.13

d)

=3.70

127.

Use the properties of logs to write the expression as a single log.

log(12x2)log(6x)\log\left(12x^2\right)-\log\left(6x\right)  

a)

log(72x2)\log\left(72x^2\right)  

b)

log(12x26x)\log\left(12x^2-6x\right)  

c)

log(2x)\log\left(2x\right)  

d)

log(18x)\log\left(18x\right)  

128.

Use the properties of logs to write the expression as a single log.

log(5x)+log(4)\log\left(5x\right)+\log\left(4\right)  

a)

log(20x)\log\left(20x\right)  

b)

log(9x)\log\left(9x\right)  

c)

log(x)\log\left(x\right)  

d)

log(5x+4)\log\left(5x+4\right)  

129.
Condense
a)
A
b)
B
c)
C
d)
D
130.
a)
log5(x2z2y10)
b)
log5(z2y2x10)
c)
log(zy2x10)
d)
log5(z2 + y+ x10)
131.

log3(2)+log3(5x)log3(7)=\log_3\left(2\right)+\log_3\left(5x\right)-\log_3\left(7\right)=  

a)

log3(70x)\log_3\left(70x\right)  

b)

log3(10x7)\log_3\left(10x-7\right)  

c)

log3(10x7)\log_3\left(\frac{10x}{7}\right)  

d)

log3(5x27)\log_3\left(\frac{5x^2}{7}\right)  

132.
a)
log (xy3)
b)
log (x− y3)
c)
log (x6/y3)
d)
log (x6 + y3)
133.
Solve log(x) + log(x+3) = 1
a)
5
b)
-2
c)
-5
d)
2
134.
log5(4x-7)=log5(x+5)
a)
3
b)
12
c)
4
d)
7
135.
a)
5
b)
13
c)
84
d)
-20
136.

log4(3x-1)=log4(2x+3)

a)

4

b)

3

c)

1

d)

8

137.

log2(x+3)=4

a)

16

b)

13

c)

3

d)

10

138.

log8(4x+4)=2

a)

15

b)

12

c)

10

d)

3

139.
Solve
a)
A
b)
B
c)
C
d)
D
140.
a)
(2e+2)/3
b)
0
c)
(2e-2)/3
d)
(3e-2)/2
141.

Evaluate the following logarithm:


log327

a)

3

b)

2

c)

-3

d)

1/3

142.

Evaluate the following logarithm:


log55

a)

1

b)

0

c)

-1

d)

1/2

143.

Evaluate the following logarithm:


log416

a)

1

b)

-2

c)

2

d)

1/2

144.

Evaluate the following logarithm:


log42

a)

-1/2

b)

-2

c)

2

d)

1/2

145.

Evaluate the following logarithm:


log121

a)

1

b)

0

c)

-1

d)

1/2

146.

Evaluate the following logarithm:


log3(1/3)

a)

-2

b)

-1/2

c)

-1

d)

1/2

147.

Evaluate the following logarithm:


log4(1/64)

a)

3

b)

-1/3

c)

-3

d)

1/3

148.

Evaluate the following logarithm:


log273

a)

1/3

b)

-3

c)

-1/2

d)

1/2

149.

What is the value of

ln(2)\ln\left(-2\right)  

a)

0.693

b)

-0.693

c)

1.349

d)

Does not exist

150.

Use calculator to find

ln(10)\ln\left(10\right)

a)

2.1092.109

b)

2.3032.303

c)

2.5072.507

d)

2.7062.706

151.
a)

1

b)

2

c)

3

d)

4

152.

What is the growth rate?

a)

6%

b)

.06%

c)

1.35%

d)

.6%

153.

What is the rate of growth as a constant (One number) in the equation?

a)

1.04

b)

7

c)

49

d)

1

154.
You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you have 10mg of caffeine? 
a)
19 to 20 hours
b)
10 to 20 hours
c)
15 to 16 hours
d)
5 to 6 hours
155.

Dr. Quander decided to buy a new car, which cost $32,000. He took a 3 year loan from the bank at a rate of 3.1%, compounded monthly, in order to cover the cost of a car. Which equation accurately represents how much Dr. Quander will pay for the car over the course of the 3-year loan?

a)

A(3)=32000(1+3.112)123A\left(3\right)=32000\left(1+\frac{3.1}{12}\right)^{12\cdot3}  

b)

A(3)=32000(1+0.03112)3A\left(3\right)=32000\left(1+\frac{0.031}{12}\right)^3  

c)

A(3)=32000(1+0.03112)123A\left(3\right)=32000\left(1+\frac{0.031}{12}\right)^{12\cdot3}  

d)

A(3)=32000(1+0.3112)123A\left(3\right)=32000\left(1+\frac{0.31}{12}\right)^{12\cdot3}  

156.

Ms. Peralta bought a new car, which cost her $27,000. Which equation represents the value of the car after 5 years, if the car depreciates at a rate of 20% per year?

a)

A(5)=27000(1+0.20)5A\left(5\right)=27000\left(1+0.20\right)^5  

b)

A(5)=27000(10.20)5A\left(5\right)=27000\left(1-0.20\right)^5  

c)

A(5)=27000(15)0.20A\left(5\right)=27000\left(1-5\right)^{0.20}  

d)

A(5)=27000(10.80)5A\left(5\right)=27000\left(1-0.80\right)^5  

157.
The population of a small coastal resort town, currently 3400, grows at a rate of 3% per year.  This growth can be expressed by the exponential equation P = 3400(1+.03)x, where P is the population after t years.  Find the number of years it will take for the population to reach 10,000?
a)
20 years
b)
26 years
c)
30 years
d)
36 years
158.
Mr. T invested $15,000 in an account that pays 5% interest compounding continuously, how much is in the account after 5 years? 
a)
$15,500.50
b)
$19,260.38
c)
$19,260.40
d)
$21,500.25
159.
a)
A
b)
B
c)
C
d)
D
160.

A population of a city is 422,000 and increases by 12% each year. Use an exponential function to find the population of the city after 8 years.

a)

1,044,856 people

b)

1,938,0494 people

c)

2,940,093 people

d)

3,048,309 people