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xaniawashington
11.05.2021 •
Mathematics
Does anyone know what the monthly payment is?:/
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Ответ:
====================================================
Explanation:
The formula given is
which to be honest is a big ugly mess of variables. The fractions also make things even more messy. Through trial and error, you can find various ways to help clean up the formula.
Notice how the "r/12" seems to show up a lot. Let's replace that fraction with the variable A.
So we'll make A = r/12
Because of that, the expression
turns into ![\left(1+A\right)^{12*t}](/tpl/images/1315/6555/8d1de.png)
After replacing all the "r/12" terms with "A", we have the formula
turn into
which is a bit simpler in my opinion.
------------------
We could also let
B = (1+A)^(12t)
which would then allow us to go from this
to this
and that's even more simple
---------------------
We're given the following values
P = 75,000 = amount loanedr = 0.023 = annual interest rate in decimal formt = 10 = number of yearsBased on those values, we can say
A = r/12 = 0.023/12 = 0.00191667 approximatelyB = (1+A)^(12*t) = (1+0.00191667)^(12*10) = 1.25832348 approximatelyFrom here, we plug the values of P, A, and B into the simplified version of the formula below.
The monthly payment is roughly $700.22
Ответ:
15-8
Step-by-step explanation: