allied mat120 module 7 check your understanding latest 2015

The bacteria in a certain culture double every 7.9 hours. The culture has 2,000 bacteria at the start. How many bacteria will the culture contain after 4 hours?

a. 3,306 bacteria

b. 3,409 bacteria

c. 3,508 bacteria

d. 3,628 bacteria

If you invest $4,500 in an account paying 2% compounded continuously, how much money will be in the account at the end of 4 years?

a. $4,874.79

b. $4,879.93

c. $4,884.77

d. $4,888.11

Simplify. log 2 27

a. 0

b. 1

c. 2

d. 7

?

Evaluate x to four significant digits. ln x = –1.445

a. 0.2357

b. 0.2711

c. 0.3589

d. 0.4513

Given that log x = 6 and log y = 5, find log ( ).

a. 180

b. 4,500

c. 27

d. 161

a. 3

b. 4

c. 5

d. –4

Simplify. log 4 1

a. 0

b. 1

c. 4

d. 16

Simplify. log 3 3

a. 0

b. 1

c. 3

d. 9

Write in logarithmic form. 243 = 35

a. log 3 5 = 243

b. log 5 3 = 243

c. log 3 243 = 5

d. log 243 3 = 5

Simplify.

a. 0

b. 1

c. 4

d. 7

Write in exponential form. log 10 0.0001 = –4

a. 0.0001 = 10–4

b. 0.0001 = (–4)10

c. 10 = (0.0001)–4

d. 10 = (–4)0.0001

Use a calculator to find log 5 57. Round your answer to four decimal places.

a. 2.3611

b. 2.5001

c. 2.5121

d. 2.8251

Solve. x2ex + 4xex = 0

a. 0

b. –4

c. 0, 4

d. 0, –4

Hint: Sections 5.1, 5.3

The population of a certain geographic region is approximately 111 million and grows continuously at a relative growth rate of 1.17%. What will the population be in 8 years? Compute the answer to three significant digits.

a. 121 million people

b. 122 million people

c. 123 million people

d. 124 million people

plify.

a.

b.

c.

d.

Simplify. log 2

a.

b. -

c. 5

d. –5

?

An employee is hired to assemble toys. The learning curve

gives the number of toys the average employee is able to assemble per day after t days on the job. How many toys can the average employee assemble per day after 6 days of training? Round to the nearest integer.

a. 24 toys

b. 25 toys

c. 26 toys

d. 27 toys

Simplify.

a. 0

b. 27

c.

d.

Hint: Sections 5.1, 5.3

Graph the logarithmic function. f(x) = log 3 (x – 1)

a.

b.

c.

d.

Graph y = ex – 2.

a.

b.

c.

d.