find the amount for each ordinary annuity if there are payments of $700.00 at the end of each month into an account that pays 10% per annum, compounded monthly

To find the amount for each ordinary annuity, you can use the formula for the future value of an ordinary annuity. The formula is:

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

Where:
A = Amount of the annuity
P = Payment amount per period
r = Interest rate per period
n = Number of periods

In this case, the payment amount per period (P) is $700.00, the interest rate per period (r) is 10% per annum, compounded monthly, and the number of periods (n) can vary depending on how long you want to calculate the annuity for.

To start, we need to convert the annual interest rate to a monthly interest rate. Since compounding is done monthly, divide the annual interest rate by 12:

Monthly interest rate (r) = 10% / 12 = 0.10 / 12 = 0.008333

Now, let's suppose you want to calculate the annuity for a duration of 5 years or 60 months. We can plug in the given values into the formula:

A = $700 * [(1 + 0.008333)^60 - 1] / 0.008333

Calculating this expression will give you the amount of the annuity.