Question: You currently have $ 2 0 0 0 and expect to save an additional $ 6 0 0 0 each year in an account that

You currently have $

2000

and expect to save an additional $

6000

each year in an account that pays

4 %

interest compounded continuously.

.

Write a differential equation to model how your savings will grow each year. Find a particular solution to this equation using the fact that your initial savings

(

when

t = 0)

is $

2000 . [8

points

]

You currently have $ 2 0 0 0 and expect to save

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