Compound
Continuously
Solving
Growth and Decay
Log Functions
100

Find the amount if $7300 is invested at a rate of 7% for 3 years, compounded semiannually.

$8973.56

100

Find the amount if $4000 is invested at a rate of 3% for 4 years, compounded continuously.

$4509.99

100

Cindie invests some money at a rate of 2% compounded continuously. If after 6 years it is now $1691.25, how much did she initially invest?

$1500

100

A certain population can be modeled using the equation y=100(1.25)^t, where y is the population and t is in years.

What is the population after 5 years, rounded to the nearest whole number?

305

100

Montague and Capulet are surnnames from which famous story?

Romeo & Juliet

200

Find the amount if $1500 is invested at a rate of 7% for 3 years, compounded annually.

$1837.56

200

Find the amount if $10,000 is invested at a rate of 3% for 8 years, compounded continuously.

$12,712.49

200

What principal will amount to $3500 if invested at 4% interest compounded quarterly for 5 years?

$2868.41

200

A car's value can be modeled by the equation y=25575(0.65)^t, where y is the value of the car and t is the time in years.

What is the percent decrease?

35%

200

What did we learn yesterday?

Differences, Linear, Quadratic, Exponential, Exceeds, Ratios, Test Tuesday

300

Which rapper's real name is Marshall Mathers?

Eminem

300

Find the amount if $3500 is invested at a rate of 2% for 5 years, compounded continuously.

$3868.10

300

What principal will amount to $2500 if invested at 5% interest compounded continuously for 7.5 years?

$1718.22

300

The population of a small town was 3600 in 2005. The population increases by 4% each year.

Write the equation.

A(t)=3600(1+0.04)t

300

Other than Captain Jack Sparrow, give the full name of two characters from Pirates of the Carribean.

Will Turner, Elizabeth Swan, Captain Hector Barbosa, Davy Jones, Gibbs, etc.

400

Find the amount if $1540 is invested at a rate of 2% for 1 year, compounded monthly.

$1571.08

400

Imagine you are stuck in a room with rising water. There are no doors or windows. How do you get out?

Stop Imagining

400

Ty invests some money at a rate of 4.5% compounded continuously. If after 10 years it is now $3567.91, how much did they initially invest? (Round to the nearest dollar)

$2275

400

You bought $2000 worth of stocks in 2012. The value of the stocks has been decreasing by 10% each year.

Write the equation.

A(t)=2000(1-0.1)t

400

Who won the Oscar for Best Actor in 2026.

Michael B. Jordan

500

Find the amount if $623 is invested at a rate of 9.5% for 6 months, compounded daily.

$653.30
500

Find the amount if $8634 is invested at a rate of 2.67% for 6 years, compounded continuously.

$10,134.12

500

Who won "The Great Snail Race" in season 3 of Spongebob Squarepants?

Rocky (Patrick's Snail)

500

The yearly profits of a company at the end of 2020 was $25,000. The profits have been decreasing by 16% per year.

If this rate continues, in about how many years will the yearly profits drop below $5000? 

In about 9 years.

(At the end of 2029, the profits are $5205.40 and at the end of 2030, the profits are $4372.50)

500

How many dogs does Mr. Lochow have?

1