Solving exponentials with logs

Solve ln e

• 10
  

• 1

• 5

• 3

5(6)^3x=20

• 2.3

• .26

• .04

• 4

To solve 24000 = 12000e^0.03t , what would the next step be?

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• 39.65 minutes
• 35.11 minutes
• 45.12 minutes
• 62.78 minutes

• about 7 years
• about 10 years
• about 18 years
• about 22 years

The half-life for plutonium-241 is 13 years. How long does it take for an initial 25 mg to decrease to 4 mg? Round to the nearest whole year.

t = _____ years

How many years will it take $3500 to triple if it is invested at 5.64% compounded continuously? Round to the nearest whole year.

t = _____ years

Fayette Bank offers you 3.8% interest compounded annually. How long will it take for your money to triple if you use Fayette Bank?

• 17 years and 10 months

• 29 years and 2 months

• 28 years and 11 months

• 29 years and 6 months

The poplulation of Eden is growing continuously at a rate of 1.9%. If the current population is 15,230, about how many years to reach 20,000?

• 31
• 2
• 15
• 68

Chelsea put $7500 into an account paying 5% compounded continuously. She now has $10,643.01. How long has the money been in the account?

• 7 years

• 6 years

• 5 years

• 4 years