Suppose we want to end up with a final someone deposited in the account off $50,000 by making payments with 12% interest compounded quarterly for eight years. So we want to obey our dollars at the end of each quarter. We want to find the value of our the final Someone deposit. Also called the amount of a new team. Has the formula as equal are the amount off the payment times one plus i to the end Power minus one over I where n the notes, the number off interest periods and I represents the rate of interest there, period. Since we're making, um, payments compounded quarterly for eight years, the number off interest periods is an equal eight times four, which gives us 32 and, uh, the interest rate their beauty did I It's going to be 12 over 100 because we were being 12% interest and this will be divided by four. So we multiply with one over four simply by, so we get 0.3 rate of interest, period. Now, if we plug in as Sequel 50,000 and I and and we get so for our the amount for each of the payments. So, um, if we want to first right to the formula for arms we have we saw for our use is gonna be s divided by him. Want us? I do. And minus one over I or simply s I over one purse. I been minus one. And now we can replace us with 50,000. Multiply by 0.3 divided by one plus size 1.3 to the the exponents 32 minus one. Plugging this in tow, calculate and and rounding to decimal places, we will obtain 952 0.33.