Exponential Growth, Decay, and Interest

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 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

An initial investment of $1000 is deposited in an account with a 1.2% interest rate, compounded quarterly. Find the value after 15 years.

• $1045.96

• $1196.89

• $15180.81

• $5891.60

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

What type of function is f(x)=2(1/7)^x ?

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

What is the growth factor of the situation represented by f(x)=10(0.3)^x?

• 10

• 0.3

• 1

• 3

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

The amount of bacteria is ​ (a)   at a rate of ​ (b)   each day.

• increasing

• 12%

• decreasing

• 88%

Move each part of the equation into the table next to the term that best describes what it represents. Not all parts of the equation will be used.

• (1+0.04)

• interest rate

• t

• time

• 0.04

• growth factor

• 3,000

• Initial deposit

An initial investment of $800 is compounded continuously at a 2.5% interest rate. Find the value after 10 years.

• $1027.22

• $9746

• $1024.07

• $876.70