Question

I would like help breakign down the following problems. I do not need the actual answers..I would like to learn these processes and do it myself - I just need examples or the breakdown on how to find the answer! any help you could offer would be greatly appreciated!

An initial investment of $1000 is appreciated for 8 years in an account that earns 9% interest, compounded annually. Find the amount of money in the account at the end of the period.

Let f(x) = 3x. Find f( 2).

Solve the equation 1296 x = 6

If $ 2500 is invested in an account that pays interest compounded continuousl

Answer 1

For question 1 the initial investment P ($1000) is multiplied by (1+i) where i is the interest rate (0.09). This is repeated n times where n is the number of years (8).
\[P(1+i)^{n}\]

Answer 2

For question 2
\[f(x) = 3x::f(2) = 3*(2)\]
I don't know what you are asking in question 3.
Question 4 is similar to 1 but uses:
\[Pe^{rt}\]
where P is still the initial investment ($2500), e is euler's constant, r is the interest rate (.09 in the last example), and t is the amount of time.