Applying Exponents
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Algebra II › Applying Exponents
The equation for radioactive decay is,
Where 
The half life of Carbon-14 is about 
None of the other answers.
Explanation
Using the equation for radioactive decay, we get:
The equation for radioactive decay is,
Where
The half life of Carbon-14 is about
None of the other answers.
Explanation
Using the equation for radioactive decay, we get:
Remember
If an account has a starting principle P = $5,000, an interest rate r = 12% or 0.12, compounded annually, how much money should there be after five years? Assume no money has been added or taken out of the account since it was opened.
Explanation
P = Initial deposit = 5000
r = Interest rate = 0.12
n = Number of times interest is compounded per year = 1
t = Number of years that have passed = 5
Round to the nearest cent or hundredth is 
A company is constructing a wall with 4-sides, all sides are of equal length.
Write an equation using exponents to calculate the area of the wall. Use 
Explanation
The formula to find area is:
In our case our length is equal to our width which is 
Substituting our values into our equation we get:
Remember
If an account has a starting principle P = $5,000, an interest rate r = 12% or 0.12, compounded annually, how much money should there be after five years? Assume no money has been added or taken out of the account since it was opened.
Explanation
P = Initial deposit = 5000
r = Interest rate = 0.12
n = Number of times interest is compounded per year = 1
t = Number of years that have passed = 5
Round to the nearest cent or hundredth is
A company is constructing a wall with 4-sides, all sides are of equal length.
Write an equation using exponents to calculate the area of the wall. Use
Explanation
The formula to find area is:
In our case our length is equal to our width which is
Substituting our values into our equation we get:
The number of butterflies in an exhibit is decreasing at an exponential rate of decay. The number of butterflies is decreasing by 
Explanation
Because the butterflies are decreasing exponentially, we can use this equation
The decay for this problem is 5% or 0.05
The period of time is 7 years
Using this equation we can solve for
The number of butterflies in an exhibit is decreasing at an exponential rate of decay. The number of butterflies is decreasing by
Explanation
Because the butterflies are decreasing exponentially, we can use this equation
The decay for this problem is 5% or 0.05
The period of time is 7 years
Using this equation we can solve for
The number of fish in an aquarium is decreasing with exponential decay. The population of fish is decreasing by 
None of these answers are correct
Explanation
Every year the population of fish losses 7%. In other words, every year 93% of the fish remain from the previous year. Knowing this, we can use the original number of fish to find the number of fish for the next year. Since we want to know the number of fish 4 years from now, we multiply 1500 by 93% four times.
The number of fish in an aquarium is decreasing with exponential decay. The population of fish is decreasing by
None of these answers are correct
Explanation
Every year the population of fish losses 7%. In other words, every year 93% of the fish remain from the previous year. Knowing this, we can use the original number of fish to find the number of fish for the next year. Since we want to know the number of fish 4 years from now, we multiply 1500 by 93% four times.