Natalie is cutting construction paper into rectangles for a project. She needs to cut one rectangle that is 6 inches x 13 1/2 in
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The equation will be of the form:
where A is the amount after t hours, and r is the decay constant.
To find the value of r, we plug the given values into the equation, giving:
Rearranging and taking natural logs of both sides, we get:
The required model is:
where A is the amount after t hours, and r is the decay constant.
To find the value of r, we plug the given values into the equation, giving:
Rearranging and taking natural logs of both sides, we get:
The required model is:
The correct formula for this is as follows:
where n is the number of compounding periods per year, and r is the annual interest rate as a decimal,
Plugging the given values into the formula, we get:
This equation can be simplified to:
Taking logs of both sides gives:
which can be rearranged to get:
So it will take about 5.864 years for the amount to reach $4550.
where n is the number of compounding periods per year, and r is the annual interest rate as a decimal,
Plugging the given values into the formula, we get:
This equation can be simplified to:
Taking logs of both sides gives:
which can be rearranged to get:
So it will take about 5.864 years for the amount to reach $4550.