Exponential Growth & Decay

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

Name the formula:

 $A=P(1+\frac{r}{n})^{nt}$  

• Exponential Growth

• Exponential Decay

• Compound Interest

• Continuously Compounded Interest

Name the formula:

 $A=Pe^{rt}$  

• Exponential Growth

• Exponential Decay

• Compound Interest

• Continuously Compounded Interest

In 2010, the population of Peabody was 54, 894. If the population rose by an average of 2% each year since then, which equation models the population of Peabody in 2021?

In 2015, there were 5,897 computer viruses in Jenna's computer. Each year after, the number of viruses increased by about 73%. How many computer viruses are there currently running loose in Jenna's computer in 2021?

Nick saves up $7500 and uses it to purchase a new jet ski. Unfortunately, his jet ski depreciates 18% in value every year that he owns it. How much will Nick's jet ski be worth in 3 years?

•  $A\ =\ 7,500e^{\left(.18\cdot3\right)}$ 

•  $A\ =\ 7,500\left(1+\frac{.28}{12}\right)^{\left(12\cdot3\right)}$ 

•  $A\ =\ 7,500\left(1+.18\right)^3$ 

•  $A\ =\ 7,500\left(1-.18\right)^3$ 

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

•  $A\ =\ 1700e^{\left(.18\cdot4\right)}$ 

•  $A\ =\ 1700\left(1+\frac{.18}{\infty}\right)^{\left(\infty\cdot4\right)}$ 

•  $A\ =\ 1700\left(1+.18\right)^3$ 

•  $A\ =\ 1700\left(1-.18\right)^3$ 

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

•  $A\ =\ 2500e^{\left(.15\cdot6\right)}$ 

•  $A\ =\ 2500\left(1+\frac{.15}{12}\right)^{\left(12\cdot6\right)}$ 

•  $A\ =\ 2500\left(1+.15\right)^6$ 

•  $A\ =\ 2500\left(1-.15\right)^6$ 

• $3,648.75

  11,225.30

• $5,495.85

• $28,938.12
  

• $98,000.00