Exponents

interest

100

What is the formula for simple interest?

A= P(1+rt)

200

What is principal?

The original amount

300

John opened a simple interest account with $100. It earns 4% each year. How much money will they have earned after 8 years?

132

400

Carlos opened a compound interest account with 8% each year. IF he started with $1000. How long will it take to get to $2000?

10 years

500

Keisha has two options. she could open a simple interest account for 9% interest, or a compound interest account 4%. if she has $100 and wants to save for 25 years or more. which account is best?

compound

Characteristics

100

What is the domain of f(x)=-3^x

All real numbers

200

What is the range of the function f(x)= 1/2^x

range: y> 0

300

What is the asymptote of the function F(x)= 4^x - 3

y= -3

400

What is the y-intercept of the function f(x)= 4^x + 4

(0,5)

500

Is the function f(x) = 1/4^-x  growth or decay?

Growth

transformations

100

write the function that translate the function f(x)=2^x up 3 units.

f(x)= 2^x + 3

200

If the function changes from f(x)= 4^x   to f(x)=4^x-2

it translate 2 units to the right

300

reflect the function f(x)= 3^x over the x axis

f(x)= -3^x

400

F(x)= 5^x was reflected across the y- axis and translated up 3 units.

f(x)= 5^-x + 3

500

which transformations would convert the function f(x)=1/3^x from exponential decay to exponential growth with the same range?

reflection over y-axis

Growth & Decay

100

Greg makes $50,000. Each year he gets a 6% increase in salary. How much money will he make in 4 years?

63,123.84

200

Doug bought a Marvel comic book for $ 4 back in 1970. Each year the value of the book increased by 9%. How much is the comic book worth this year?

$272.87

300

Fred has $10,000. He spends 8% of his money every day. How much money does he have left after a week?

5,578.46

400

Henry bought a new car for $50,000 that depreciates at 5% each year. How long will it take to get under $30,000? 

10 years.

500

There is an abandoned home in the neighborhood work $7,000 that is depreciating every month by 6%. How long will it take for the home to be worth $0

0 is the asymptote.

Sequences

100

determine the next term in the sequence:

2,4,8,16

32

200

Write the first four terms for the geometric sequence:

Gn= 4 * 3^n-1

4,12,36,108

300

write the explicit formula for the following sequence:

5,20,80,320

g_n= 5*4^n-1

400

write the explicit formula for the following sequence:

800,200, 50, 12.5

G_n= 800* 1/2^n-1

500

convert the gemetric formula to exponential function

g_n= 8*2^n-1

f(x)= 4*2^x