Compound Interest Graphing Exponential Functions Growth and Decay

How long will it take for the value of an initial investment of $1200 compounded continuously at a 5.6% interest rate to reach $2000.

• 9.57 years

• 9.04 years

• 9.12 years

• .091 years

An initial investment of $1000 is deposited in an account with a 1.2% interest rate, compounded annually. In how many years will the account reach $1500?

• 34.04 years

• 33.99 years

• 3.72 years

• 3.58 years

An investment of $500 earns 3% interest compounded monthly. Find how many years it will take for the account to be $800.

• 15.95 years

• 15.69 years

• 15.90 years

• 15.72 years

In an exponential function, what does the a value represent?

• Rate of growth or decay

• Slope

• Initial value

• Exponent

Does the function represent a growth or decay function?

• Exponential GROWTH

• Exponential DECAY

The value of a car is $15,000 and decreases at a rate of 8% per year. What is the decay factor?

• 0.08

• 0.92

• 1.08

• 8

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

• y = 15(35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

• y = 15(1.35)^x

There is a culture of bacteria that begins with 5000 cells and dies by 30% each year. Write an exponential model to represent the situation.

• y = 5000(0.70)^x

• y = 30(5000)^x

• y = 5000(1.30)^x

• y = 5000x^x

What type of function is y = 7(5/4)^x?

• Exponential GROWTH

• Exponential DECAY

• Linear

• Not a function

You put $1500 into an account that earns 4% interest. How much will be in the account after 6 years if the account is compounded monthly?

• $1530.25

• $1561.11

• $1897.98

• $1906.11