Functions

A pot of stew is placed on a stove to heat. The temperature of the liquid reaches 170°F, and then the pot is taken off the burner and placed on a kitchen counter. The temperature of the air in the kitchen is 76°F.

If k = 0.34, the temperature of the liquid after 7 hours will be ___
ºF. (Hint: Use Newton’s cooling model.)

According to the rule of 70, how many years will it take an investment that is making 4.5 percent interest to double in size?

A.
70 years

B.
15.56 years

C.
31.5 years

D.
4.5 years

An investment in a savings account grows to three times the initial value after t years.
If the rate of interest is 5%, compounded continuously, t =
____years.

What is the first step in solving ln(x − 1) = ln6 − lnx for x?

A.
Simplify the left side using the "log of a difference is the quotient of the logs" property.

B.
Simplify the right side using the "difference of two logs is the log of the product" property.

C.
Simplify the right side using the "difference of two logs is the log of the quotient" property.

D.
Simplify the left side using the "log of a difference is the difference of the logs" property.

What is the value of x in the equation ln (x + 6) – ln (2x – 1) = 1?

A.
-0.21

B.
0.74

C.
1.35

D.
1.97