Algebra II : Other Exponent Applications
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Example Question #3453 :Algebra Ii
A biologist figures that the population
where
If this model continues, in what month will the population of cane toads in the lagoon reach 5,000?
March
April
February
May
June
March
Set
January and February have 59 days total; add March, and this is 90 days. The 76th day is in March.
Example Question #3454 :Algebra Ii
A biologist figures that the population
where
Assuming that this has been the model for their growth throughout the previous year as well, in what month did the population hit 100 cane toads?
2014年12月
September 2014
October 2014
November 2014
August 2014
2014年12月
Set
17 days before January 1 was in December of 2014.
Example Question #1 :Other Exponent Applications
Lucia deposits $40,000 into a savings account that pays 5.5% annual interest compounded continuously. Assuming she neither deposits nor withdraws money, how long will it take for her to have $60,000 in the account?
Between 8 and 9 years
Between 7 and 8 years
Between 9 and 10 years
Between 6 and 7 years
Between 5 and 6 years
Between 7 and 8 years
We set final principal
The correct response is therefore between 7 and 8 years.
Example Question #2 :Other Exponent Applications
Ann deposits $30,000 into a savings account that pays 4.5% annual interest compounded quarterly. Assuming she neither deposits nor withdraws money, what is the amount of time it will take for her to have at least $50,000 in the account?
Apply the compound interest formula:
We set final principal
This is rounded up to the next quarter of a year, so the correct response is 11.5 years, or 11 years 6 months.
Example Question #3 :Other Exponent Applications
A company is constructing a wall with 4-sides, all sides are of equal length.
写一个方程表示ents to calculate the area of the wall. Use
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:
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