Compound Interest, Compound Continuously, Growth and Decay and Exponential Functions

Jasmine puts $4000 into an a savings account which offers 8% interest and compounds interest continuously for 3 years. Which equation would you use to see how much money Jasmine will have after 3 years?

• A=4000(1+.08)³

• A=4000e^(.08)(3)

• A=4000(1+3)^.08

• A=4000(1+.08/3)³⁽³⁾

Treasure won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% interest compounded quarterly, this would represent which type of set-up?

• Quadratic

• Compound

  Continuoulsy

• Exponential Decay

• Compound Interest

• Because the 25 was bigger than one

• Because the 0.20 was bigger than one

• Because the 25 was less than one

• Because the 0.20 was less than one

• Compound Continuous Interest

• Linear Growth

• Exponential Growth

• Exponential Decay

If the decay rate is 20%, which of the following represent the decay factor?

• 0.2

• 0.8

• 1.2

• 1.8

If the growth rate is 80%, what is the growth factor?

• 0.2

• 0.8

• 1.2

• 1.8

A flea medicine breaks down at a rate of 20% per hour. This is the rate of decay of the medicine. The initial dose is 60 milligrams. Which of the following represent the equation the models the amount of flea medicine left in an animal?

What is the initial amount for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

An antibiotic is introduced into a colony of 12,000 bacteria during a laboratory experiment. The colony is decreasing by 14.9% per minute. Which function can be used to model the number of bacteria in the colony after x minutes?

• f(x) = 12000(1 + 14.9)^x

• f(x) = 12000(1 - 14.9)^x

• f(x) = 12000(1 + 0.149)^x

• f(x) = 12000(1 - 0.149)^x