Rules of Exponents
a1=_____
a
What does b represent in the exponential growth formula?
b=rate of growth (in decimal form)
What does the variable b represent in the exponential decay formula?
b=rate of decay (in decimal form)
Annual Percentage Yield
What is the capital of Canada?
Ottawa
a0=_____
1
What does the variable a represent in the exponential growth formula?
a=starting amount
What does x represent in the exponential decay formula?
x=time
What is the "principal"?
The initial amount invested
How many branches of government are there? What are they called?
3
Legislative, Executive, and Judicial
a2 * a6=_____
a8
What is the exponential growth formula?
y=a(1+b)x
What is the exponential decay formula?
y=a(1-b)x
The equation y=5000(1.05)x represents Linsayd's portfolio value over time. What is Linsayd's principal?
$5000
What is the square root of -1?
i
a4/a1=_______
a3
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
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
Riya's 401k account's growth is represented by this equation: y=45000(1.061)x .
What is her APY?
6.1%
When did Ohio become a state?
1803
a-5=_________
1/(a5)
The population of Stow, Ohio is increasing at a rate of 2.14% each year. The population in the year 2026 is 21,578.
Write an equation to model this situation.
What would the population of Stow be in the year 2030?
a. y=21,578(1.0214)x
b. roughly 23485
Japan’s population is declining at a rate of 0.75% per year. In 2026, the state had a population of 120,000,000.
Write a function to express this situation.
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
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
Write pi (at least the first five decimal places) :
3.14159...(continues on forever)