find the value of annuity for a 1=$3000, I=0.09, n= 25

To find the value of an annuity, you can use the formula:

A = P * (1 - (1 + r)^(-n)) / r

where:
A = Value of the annuity
P = Payment per period
r = Interest rate per period
n = Number of periods

In this case, the payment per period (P) is $3000, the interest rate per period (r) is 0.09, and the number of periods (n) is 25.

Now we can substitute these values into the formula:

A = 3000 * (1 - (1 + 0.09)^(-25)) / 0.09

To calculate this, we need to solve the expression inside the parentheses first and then divide it by 0.09:

A = 3000 * (1 - (1.09)^(-25)) / 0.09

Now, let's calculate (1.09)^(-25):

(1.09)^(-25) ≈ 0.208
(Note: rounded to 3 decimal places)

Now let's substitute this value back into the formula:

A = 3000 * (1 - 0.208) / 0.09

Simplifying further:

A = 3000 * 0.792 / 0.09

A ≈ $26,400

Therefore, the value of the annuity is approximately $26,400.