Applying and analysing exponential and logarithmic functions

A population of bees started with 150 bees and declined at a rate of 20% to 10 bees. How many years did this take to happen?

The population P of a bacteria culture is modeled by P = 3500e^kt, where t is the time in hours. How long does it take the population to reach 7000 bacteria? Round to the nearest tenth of an hour. (k = .014)

A 78 gram sample of Uranium loses half of its mass each year.  How much mass will be left after 7 years? 

• 0.609 grams

• 1332.703 grams

• 13.109 grams

• 2.438 grams

Solve for x:

2(3)^x+1 = 36

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 $5^x=625\$  Solve the equation

How long will it take an investment of $23,140.40 at 17% interest to double?

• 4.7
• 4.2
• 3.8
• 5.1

A certain bacteria grows at a rate of 3 cells every 2 minutes. If there were 260 cells initially, how many are there after 21 minutes?

• 288.5

• 864567

• 260

• 576378

If you invest $5,000 into an account paying 6% interest compounded continuously, how many years will it take until there is $8,000 in the account?

• 7.83 years

• 6.83 years

• 9.67 years

• 8.67 years