Applying and analysing exponential and logarithmic functions

• -2

• 2

An isotope of cesium (cesium-137) has a half-life of 30 years. If 1.0 mg of cesium-137 disintegrates over a period of 90 years, how many mg of cesium-137 would remain?

• 0.5 mg

• 0.25 mg

• 0.125 mg

• 0.0625 mg

MS. Jones is investing $500 in an account that compounds monthly at a rate of 3.5%. How long will it take for her to have $860? (Round to 2 decimals.)

If 10 mg of iodine 131 is given to a patient, how much is left after 27 days? The half-life of iodine-131 is 9 days.

• 5.0mg

• 2.5mg

• 1.25mg

• 10mg

Solve:
3^x+1=8

• 1.771
• 1.250
• 0.893
• 2.892

Given f(x) = (1.0023)³⁶ and the rate of change is 0.23% every hour, how many minutes have passed?

• 36

• 60

• 2160

• 3600

Solve.

10^{(10 - 4x)} = 82

• 1.40

• 2.02

• 1.45

• 1.28

If something changed at a rate of 5% every two minutes, what would "t" be for a time period of 35 minutes?

• 35

• 17.5

• 17

• 2

How long will it take an investment of $38,105.19 at 50% interest to double?

• 1.7
• 1.4
• 1.6
• 1.3