Using the monthly payment formula, it is found that her down payment should be of $1,419.
<h3>What is the monthly payment formula?</h3>
It is given by:
![A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}](https://tex.z-dn.net/?f=A%20%3D%20P%5Cfrac%7B%5Cfrac%7Br%7D%7B12%7D%5Cleft%281%20%2B%20%5Cfrac%7Br%7D%7B12%7D%5Cright%29%5En%7D%7B%5Cleft%281%20%2B%20%5Cfrac%7Br%7D%7B12%7D%5Cright%29%5En%20-%201%7D)
In which:
- n is the number of payments.
For this problem, the parameters are:
A = 250, r = 0.072, n = 72.
Hence:
r/12 = 0.072/12 = 0.006.
We solve for P to find the total amount of the monthly payments, hence:
![A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}](https://tex.z-dn.net/?f=A%20%3D%20P%5Cfrac%7B%5Cfrac%7Br%7D%7B12%7D%5Cleft%281%20%2B%20%5Cfrac%7Br%7D%7B12%7D%5Cright%29%5En%7D%7B%5Cleft%281%20%2B%20%5Cfrac%7Br%7D%7B12%7D%5Cright%29%5En%20-%201%7D)
![P\frac{0.006(1.006)^{72}}{(1.006)^{72}-1} = 250](https://tex.z-dn.net/?f=P%5Cfrac%7B0.006%281.006%29%5E%7B72%7D%7D%7B%281.006%29%5E%7B72%7D-1%7D%20%3D%20250)
0.0171452057P = 250
P = 250/0.0171452057
P = $14,581.
The total payment is of $16,000, hence her down payment should be of:
16000 - 14581 = $1,419.
More can be learned about the monthly payment formula at brainly.com/question/26476748
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MrBillDoesMath!
Answer: The dependent variable depends on another variable for its value. For example, if y = 2x, setting x = 1 forces y= 2.; setting x = 10, forces y =20. There are no other possibilities for y once x ids chosen. So y is the dependent variable and x is the independent one. You can pick values for the independent variable (x) but no so for the dependent one.
MrB
Um well lets see there is no question so the day that ends in y