Exponential Growth
Exponential Decay
Compound Intrest
Compound Continuously
Exponential Half Life Decay
100
what is the exponential growth formula?
What is A=P(1+r)^t
100
What is the exponential decay formula?
What is a=P(1-r)^t
100
What is the compound intrest formula?
What is a=P(1+r/n)^nt
100
What is the formula for something that is compounded continuously?
What is A=Pe^rt
100
What is the exponential half life decay formula?
What is y=100(1/2)^x
200
In the equation y=360(1+0.2)^t what is the initial amount?
What is 360
200
in the follwing problem y=2500(1-.02)^t what is the inital amount?
What is 2500
200
In the following compound intrest formula what does the "r" stand for?
What is r=annual rate of intrest (as decimal)
200
What does the "t" in the continuously compounded formula stand for?
What is t= number of years
200
In y=100(1/2)^x What does the "x" stand for?
What is z represents the interval between half lives
300
A population of 222,000 increases by 12% each year. What would the model of this situation look like?
What is y=222,000(1+.12)^t
300
suppose your friend bought a car for $8000 that decreases at a rate of 4% per year. Write a model for this scenario.
What is y=8000(1-.04)^8
300
Sally deposited $1500.00 into a bank paying an annual intrest rate of 4.3%, compounded quarterly. What would be her balance after 6 years?
What is a balance of $1,938.84
300
If you invest $1000 at an annual intrest rate of %5 compounded continuously, calculate the final amount you will have in the account after 5 years.
What is $1,284.02
300
an unknown substance has a half life of 1 hr, if you start with 1000 grams of the substance, how much will you have in 3 hrs?
What is 125
400
the population of Gwinnett starts at 20,000, and grows 13% each year. What would the population be after 10 years?
What is 67,891
400
Fred buys a house for $250,000 and its value decreases at a rate of 18% each year. Find the value of the house after 8 years.
What is $51,104
400
If you have a bank account starting with $1000, ad your bank compounds the intrest twice a year at an intrest rate of 5% how much money would you have at the end of year? (assuming it was Jan 1 or a full year) (:
What is $1050.63
400
If you put $2,000 dollars in a bank with an annual intrest rate of 13% compounded continuously, what would be the final amount in the account after 20 years?
What is $26,927.47
500
Linda opens an account at bank of america with a starting balance of $100. The bank has an annual interest rate of 4%. Write a model and find the balance after 12 years.
What is b=100(1+.04)^12 What is a balance of $160
500
Jim's mom bought a car for $13,000 that depreciates at 12% per year. What would the value be after seven years? what would the model look like?
What is y=13000(1-0.12)^7 What is $5,312.78
500
Say you sign up for your first credit card that charges 12.49% intrest rate and compounds the intrest monthly. Within one day of getting that card, you max it out by spending $1,200.00. If you do not buy anything else and dont make any payments how much money would you owe the company after 6 months?
What is $1,276.92 dollars.
500
An amount of $3,000.00 is deposited at Bank of America with an annual intrest rate of 3%, compounded continuously. Find the balance after 4 years? How long would it take for the money to double?
What is $3,382.49 What is approx. 23 years
500
Technetiu-99m is a radioactive substance used to diagnose brain, thyroid, liver, and kidney diseases. This radioactive substance has a half life of 6 hrs. If there are 200 mgs of this substance how much will there be in 1 day?
What is 12.5
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