Answer:
Attached file
Step-by-step explanation:
The equation for continuous compounding is [tex]A=A_oe^k^t[/tex]
where [tex]A[/tex] is the final amount, [tex]A_o=[/tex] the initial amount, [tex]k=[/tex] the interest rate, and [tex]t =[/tex] how much time is affecting it.
The equation for compound interest is [tex]A=A_o(1+\frac{r}{n} )^n^t[/tex]
where [tex]A=[/tex] the final amount, [tex]A_o=[/tex] the initial amount, [tex]r=[/tex] the interest rate, [tex]n =[/tex] the number of times the interest is applied per period (usually per year), [tex]t =[/tex] how many time periods elapsed (usually how many years the interest is applied).
Therefore you must set up all the equations with their respective units. If something is decaying, it will have a negative rate or a rate < 1. If something is growing, it will have a positive rate or a rate > 1.
