Exponential Growth and Decay Interest Formula

Which represents exponential decay?

• A

• B

• C

• D

The population of Pallet Town increases by 15% every year. If there are currently 190,000 people living there, what will be the population in 13 years?

If necessary, round your answer to the nearest whole number.

• 4 people.

• 22,972 people.

• 1,169,030 people.

• 1,188,311 people.

The number of research papers in Professor Sycamore area of expertise has been increasing by 5% every year. Given that 30,010 research papers were published this year. Assuming the trend continues, which equation projects the amount of research papers published in x years?

• y = 30,010 (.05)^x

• y = 30,010 (1.05)^x

• y = 30,010 (.95)^x

• y = 30,010 (5)^x

Name the formula:

y = a(1 + r)^t

• Exponential Growth

• Exponential Decay

• Compound Interest

• Continuously Compounded Interest

Name the formula:

y = a(1 - r)^t

• Exponential Growth

• Exponential Decay

• Compound Interest

• Continuously Compounded Interest

• Exponential Growth

• Exponential Decay

• Compound Interest

• Continuously Compounded Interest

Danielle deposits $1700 into an account that pays 18% annual interest compounded continuously. What is Danielle's balance after 4 years?

Dom buys a stock option for $2500 that pays out 15% annual interest compounded monthly. What is Dom's balance after 6 years?

You want to put $1000 into an account that will make the most money in interest.  Which one should you choose?

• 4% interest compounded annually

• 4% interest compounded monthly

• 4% interest compounded daily
  

• 4% interest compounded continuously

Susan invests $3000 and earns 4% interest, compounded annually. Which function below would calculate her total investment for any year?