exponential functions
Geometric sequences
Graphing Exponential equations
Exponential Growth/Decay
Compound Interest
100
Whats the formula for exponential functions?
f(x) = bx
100
Find the common ratio.
-1,6,-32,216,...
r=-6
100
find the y intercept of y=2 x 3x
(0,0)
100
If a is positive and b is greater than 1 , then it is exponential ______.
If a is positive and b is greater than 1 , then it is exponential growth :D
100
Whats the Compound interest formula?
200
The height of a bouncing ball (in inches) after x bounces is represented by the equation.
f(x)=120(0.75)^x
How high does the ball bounce after the 5th bounce?
28 inches
200
find the common ratio.
−3, −15, −75, −375,...
r=5
200
find the y intercept of
y=3x+5
(0,5)
200
If a is positive and b is less than 1 but greater than 0 , then it is exponential _____.
If a is positive and b is less than 1 but greater than 0 , then it is exponential decay:D
200
If you start a bank account with $10,000 and your bank compounds the interest quarterly at an interest rate of 8%, how much money do you have at the year's end?
A= $10,824.32
300
The population of wolves in an area is represented by the equation p(t)=800(.95)^t. where t is the number of years since the year 2000.
Part A- in the above equation, what does 800 represent?
Part B- in the above equation, what does 0.95 represent?
Part A-800= the starting population
Part B-0.95= the decay factor
300
Find the common ratio.
−2, −4, −8, −16,...
r=2
300
find the y intercept of y=8x-3
(0,-3)
300
the foundation of your house has about 1,200 termites. The termites grow at a rate of about 2.4% per day. How long until the number of termites doubles?
T= 29.2 days
300
If you have a bank account whose principal = $1,000, and your bank compounds the interest twice a year at an interest rate of 5%, how much money do you have in your account at the year's end?
A=$1050.63
400
Since January 1980, the population of the city of brownville has grown according to the mathematical model y=720,500(1.022)^x. where x is the number of years since january 1980.
What do the numbers 720,500 and 1.022 represent in this model?
720,500 is the starting population
1.022 is the growth factor
400
find the common ratio.
1, −5, 25, −125,
r=-5
400
find the y intercept of y=3x+4
(0,4)
400
If an account starts with $100 and has an annual rate of 4%, and the money in the account is left for 12 years whats the amount after 12 years?
p(t)=$160.10
400
The first credit card that you got charges 12.49% interest to its customers and compounds that interest monthly. Within one day of getting your first credit card, you max out the credit limit by spending $1,200.00. If you do not buy anything else on the card and you do not make any payments, how much money would you owe the company after 6 months?
A=1,276.92
500
Since January 1980, the population of the city of brownville has grown according to the mathematical model y=720,500(1.022)^x. where x is the number of years since january 1980.
what will the popuation be in 2000 if the growth continues at the same rate?
about 1,113,402 people
500
a n = 3 ^n − 1
find the first 5 terms and the 8th term
1, 3, 9, 27, 81
a 8 = 2187
500
Find the y-intercept of y=2x-6
(0,-6)
500
Bacteria can multiply at an alarming rate when each bacteria splits into 2 new cells, thus doubling. If we strt with 1 bacteria which can double every hour, how many bacteria will we have at the end of one day?
A=16,777,216 bacteria
500
You win the lottery and get $1,000,000. You decide that you want to invest all of the money in a savings account. However, your bank has two different plans.
Plan 1-The bank gives you a 6% interest rate and compounds the interest each month.
Plan 2-The bank gives you a 12% interest rate and compounds the interest every 2 months.
In 5 years from now, which plan will provide you with more money?
Plan 2