Your aunt matilda passes away and leaves you with the tidy sum of $50,000. you find a bank that will pay you 5.15 % per year compounded every instant. you want to enjoy some of this money, but you don't want to blow it away too fast. you decide to deposit the $50,000 but to pull out d dollars per year so that after t years, you will have blown (d t) dollars off. if p [t] is the amount in the account, then why does p [t] solve the differential equation p'[t] - 0.0515 p[t] = -d ?

Deduction in the step-by-step explanation

Step-by-step explanation:

If a P0=50.000 deposit is compound every instant, the ammount in the account can be modeled as:

If you pull out d dollars a year, the equation becomes:

If we derive this equation in terms of t, we have

The first term can be transformed like this:

So replacing in the differential equation, we have

Rearranging

the surface area is 124cm²

step-by-step explanation:

length: 4cm

width: 9cm

height:   2cm

there are no choices to this, can you give us some choices so that i can answer it

step-by-step explanation: