Exp and Logs Review

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

• 14327
• 4309
• 839
• 7680

An amount of $2,000 is deposited into a bank paying an annual interest rate of 2.85% compounded continuously. How long will it take for the money to double?

• 21.22 years
• 24.321 years
• 20.12 years
• Not here

If you deposit $5000 into an account paying 6% annual interest compounded monthly, how long until there is $8000 in the account?

• 9.3 years

• 6.7 years

• 8.5 years

• 7.9 years

Phoenix has $1,275 to invest in an account that pays 7% interest per year, compounded continuously. It will take _____ years for the amount to be $5050? Round to two decimal places.

• 20.25

• 19.66

• 21.22

• 18.50

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

The foundation of your house has about 1,200 termites. The termites grow at a rate of about 2.4% per day. How long until the number of termites doubles?

• 29 to 30 years
• 23 to 24years
• 15 to 16 years
• 19 to 20 years

The population of a small coastal resort town, currently 3400, grows at a rate of 3% per year.  This growth can be expressed by the exponential equation P = 3400(1+.03)^x, where P is the population after t years.  Find the number of years it will take for the population to reach 10,000?

• 20 years
• 26 years
• 30 years
• 36 years

. You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you have 10mg of caffeine? 

• 16
• 17
• 18
• 19

If there are initially 2200 bacteria in a culture, and the number of bacteria triple each hour, the number of bacteria after t hours can be found using the formula y = 2200(3)^t . How long will it take the culture to grow to 60,000 bacteria?

• 1.52 hours

• 3.01 hours

• 4.25 hours

• 5.06 hours

Jimmy purchased a rare coin for $350. It will appreciate (increase) in value by about 6% each year. Write the equation that represents this.

• y=350(0.06)^x

• y=0.06(350)^x

• y=350(0.94)^x

• y=350(1.06)^x