Chapter 7 Survey

Which equation represents the value after x years of a new delivery van that costs $25,000 and depreciates 15% each year?

• y = -15(25,000)^x

• y - 25,000(0.85)^x

• y = 25,000(0.15)^x

• y = 25,000(1.15)^x

Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%. If no other money is added or withdrawn from the account, how much will be in the account after 10 years?

• $3122.18

• $4994.50

• $4440.73

• $86,776.40

Phosphorus-32 is used to study a plant's use of fertilizer. It has a half-life of 14.3 days. How many milligrams of phosphorus-32 remain after 92 days from a 100-mg sample? Express the answer to the nearest whole milligram.

Suppose you make $1500 at your summer job and you decide to invest this money in a savings account that pays interest at an annual rate of 5.5% compounded continuously. How many dollars will be in the account after 5 years? Express your answer to the nearest whole dollar.

Which of the following is the logarithmic form of the equation 4^-3 = 1/64?

• log_-3 (1/64) = 4

• log_-3 4 = 1/64

• log₄ (1/64) = - 3

• log_1/64 4 = - 3

What is the value of log₂ 8?

• 64

• 8

• 16

• 3

How does the graph of y = log₅ (x - 3) compare with the graph of the parent function y = log₅ x?

• translated 3 units to the left

• translated 3 units down

• translated 3 units to the right

• translated 3 units up

Find the inverse of the function y = log (x + 1).

Determine the type and write the equation of the asymptote of the graph of y = log (x - 5) + 3. Check all that apply.

• Vertical

• Horizontal

• x = 5

• x = - 5

• y = 3

Evaluate log₈ 8