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Rules of Exponents
Growth
Decay
Compound Interest
Bonus
100

a1=_____

a

100

What does b represent in the exponential growth formula?

b=rate of growth (in decimal form)

100

What does the variable b represent in the exponential decay formula?

b=rate of decay (in decimal form)

100
What does APY stand for?

Annual Percentage Yield

100

What is the capital of Canada?

Ottawa

200

a0=_____

1

200

What does the variable a represent in the exponential growth formula?

a=starting amount

200

What does x represent in the exponential decay formula? 

x=time

200

What is the "principal"?

The initial amount invested

200

How many branches of government are there? What are they called?

3

Legislative, Executive, and Judicial 

300

a2 * a6=_____

a8

300

What is the exponential growth formula?

 y=a(1+b)x

300

What is the exponential decay formula? 

y=a(1-b)x

300

The equation y=5000(1.05)x represents Linsayd's portfolio value over time. What is Linsayd's principal? 

$5000

300

What is the square root of -1? 

i

400

a4/a1=_______

a3

400

y=100(1.2)x represents the growth in cells in a petri dish, where x is the number of hours. How many cells will be in the petri dish after 4 hours?

207.36

400

y=14(.8)x represents the decay in the number of pizza slices in the box, where x is the minutes after the pie is delivered. How many slices will be in the box after 5 minutes?

4.58752

400

Riya's 401k account's growth is represented by this equation: y=45000(1.061)x  .


What is her APY? 

6.1%

400

When did Ohio become a state?

1803


500

a-5=_________

1/(a5)

500

The population of Stow, Ohio is increasing at a rate of 2.14% each year. The population in the year 2026 is 21,578.

  1. Write an equation to model this situation.

  2. What would the population of Stow be in the year 2030?

a. y=21,578(1.0214)x

b. roughly 23485

500

Japan’s population is declining at a rate of 0.75% per year. In 2026, the state had a population of 120,000,000.

  1. Write a function to express this situation.

  2. If this rate continues, what will the population of Japan be in 2050?

a. y=120,000,000(0.9925)x

b. Roughly 100,164,451 people in Japan in 2050

500

Jitendra broke open his piggy bank to find thirty thousand five hundred fifty-eight dollars and twenty-three cents. He considers investing in a hype new cryptocurrency, Merch Coin, but then realizes crypto may not be the most financially prudent investment. 

Instead, Jitendra puts all his piggy bank money in a mutual fund that offers a respectable 8.2% APY. How much will his investment be worth after 32 years?

$380,540.20

500

Write pi (at least the first five decimal places) :

3.14159...(continues on forever)