Question 1

Solve the problem.
-The amount of particulate matter left in solution during a filtering process decreases by the equation P(n) =  where n is the number of filtering steps. Find the amounts left for n = 0 and n = 5. (Round to
The nearest whole number.)
A) 700; 22
B) 700; 88
C) 1400 ; 88
D) 700; 5600

Accepted Answer

B

Question 2

Graph.
-f(x) =  - 3 
A) 
B) 
C) 
D)

Accepted Answer

B

Question 3

Solve the problem.
-A computer is purchased for $4500. Its value each year is about 77% of the value the preceding year. Its value, in dollars, after t years is given by the exponential function V(t) =  Find the value of the computer after
6 years.
A) $556.08
B) $20,790.00
C) $937.90
D) $722.18

Accepted Answer

C

Question 4

Solve the problem.
-Suppose that $40,000 is invested at 6% interest, compounded annually. Find a function A for the amount in the account after t years.
A) 
B) 
C) 
D)

Accepted Answer

The answer of Solve the problem.
-Suppose that $40,000 is invested...

Question 5

Solve the problem.
-The number of dislocated electric impulses per cubic inch in a transformer increases when lightning strikes by D(x) =  where x is the time in milliseconds of the lightning strike. Find the number of dislocated
Impulses at x = 0 and x = 5 .
A) 2000 ; 32,000
B) 1000 ; 10,000
C) 1000 ; 32,000
D) 1000 ; 4000

Accepted Answer

The answer of Solve the problem.
-The number of dislocated electric...

Question 6

Graph.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph.
-
A) 
B) 
C) 
D) ...

Question 7

Solve the problem.
-The half-life of a certain radioactive substance is 8 years. Suppose that at time t = 0, there are 29 g of the substance. Then after t years, the number of grams of the substance remaining will be:
N(t) =  How many grams of the substance will remain after 56 years? Round to the nearest hundredth when necessary.
A) 0.64 g
B) 1.28 g
C) 0.32 g
D) 2.56 g

Accepted Answer

The answer of Solve the problem.
-The half-life of a certain...

Question 8

Graph.
-f(x) =  
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph.
-f(x) =  
A) 
B) 
C) 
D)...

Question 9

Solve the problem.
-An accountant tabulated a firm's profits for four recent years in the following table:  The accountant then fit both a linear graph and an exponential curve (seen below) to the data, in order to estimate future profits. Use the exponential graph to estimate the profits in the year 2001. 
A) About $750,000
B) About $300,000
C) About $1,300,000
D) About $1,000,000

Accepted Answer

The answer of Solve the problem.
-An accountant tabulated a firm's...

Question 10

Solve the problem.
-The half-life of Cesium 134m is 3.0 hours. If the formula P(t) =  gives the percent (as a decimal) remaining after time t (in hours), sketch P versus t. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Solve the problem.
-The half-life of Cesium 134m...

Question 11

Solve the problem.
-The number of bacteria growing in an incubation culture increases with time according to B(x) =  where x is time in days. Find the number of bacteria when x = 0 and x = 3 .
A) 19,600 ; 78,400
B) 9800 ; 58,800
C) 9800 ; 39,200
D) 9800 ; 78,400

Accepted Answer

The answer of Solve the problem.
-The number of bacteria growing...

Question 12

Graph.
-f(x) =  
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph.
-f(x) =  
A) 
B) 
C) 
D)...

Question 13

Solve the problem.
-An accountant tabulated a firm's profits for four recent years in the following table:  The accountant then fit both a linear graph and an exponential curve (seen below) to the data, in order to estimate future profits. Use the linear graph to estimate the profits in the year 2002. 
A) About $800,000
B) About $500,000
C) About $1,000,000
D) About $900,000

Accepted Answer

The answer of Solve the problem.
-An accountant tabulated a firm's...

Question 14

Graph.
-f(x) =  + 2 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph.
-f(x) =  + 2 
A) 
B)...

Question 15

Graph.
-f(x) =  
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph.
-f(x) =  
A) 
B) 
C) 
D)...

Question 16

Solve the problem.
-An accountant tabulated a firm's profits for four recent years in the following table:  The accountant then fit both a linear graph and an exponential curve (seen below) to the data, in order to estimate future profits. Use the exponential graph to estimate the profits in the year 2002. 
A) About $1,000,000
B) About $1,700,000
C) About $1,300,000
D) About $750,000

Accepted Answer

The answer of Solve the problem.
-An accountant tabulated a firm's...

Question 17

Graph.
-x = 2y 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph.
-x = 2y 
A) 
B) 
C) 
D)...

Question 18

Graph.
-f(x) =  
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph.
-f(x) =  
A) 
B) 
C) 
D)...

Question 19

Graph.
-f(x) =  
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph.
-f(x) =  
A) 
B) 
C) 
D)...

Question 20

Solve the problem.
-An accountant tabulated a firm's profits for four recent years in the following table:  The accountant then fit both a linear graph and an exponential curve (seen below) to the data, in order to estimate future profits. Use the linear graph to estimate the profits in the year 2001. 
A) About $500,000
B) About $700,000
C) About $800,000
D) About $900,000

Accepted Answer

The answer of Solve the problem.
-An accountant tabulated a firm's...

Quiz 13: Exponential Functions and Logarithmic Functions

Solve the problem. -The amount of particulate matter left in solution during a filtering process decreases by the equation P(n) = where n is the number of filtering steps. Find the amounts left for n = 0 and n = 5. (Round to The nearest whole number.)

Graph. -f(x) = - 3

Solve the problem. -A computer is purchased for $4500. Its value each year is about 77% of the value the preceding year. Its value, in dollars, after t years is given by the exponential function V(t) = Find the value of the computer after 6 years.

Solve the problem. -Suppose that $40,000 is invested at 6% interest, compounded annually. Find a function A for the amount in the account after t years.

Solve the problem. -The number of dislocated electric impulses per cubic inch in a transformer increases when lightning strikes by D(x) = where x is the time in milliseconds of the lightning strike. Find the number of dislocated Impulses at x = 0 and x = 5 .

Graph. -

Graph. -f(x) =

Solve the problem. -The half-life of Cesium 134m is 3.0 hours. If the formula P(t) = gives the percent (as a decimal) remaining after time t (in hours) , sketch P versus t.

Solve the problem. -The number of bacteria growing in an incubation culture increases with time according to B(x) = where x is time in days. Find the number of bacteria when x = 0 and x = 3 .

Graph. -f(x) =

Graph. -f(x) = + 2

Graph. -f(x) =

Graph. -x = 2y

Graph. -f(x) =

Graph. -f(x) =