Using the monthly payment formula, it is found that:
- Her monthly payments are of $105.46.
- The total finance charge is of $3,111.04.
<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.
Considering that she must pay 20% down, the parameters are given by:
P = 0.8 x 2900 = 2320, r/12 = 0.085/12 = 0.007083, n = 24.
Hence the monthly payments are found as follows:
![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)
![A = 2320\frac{0.007083(1.007083)^{24}}{(1.007083)^{24} - 1}](https://tex.z-dn.net/?f=A%20%3D%202320%5Cfrac%7B0.007083%281.007083%29%5E%7B24%7D%7D%7B%281.007083%29%5E%7B24%7D%20-%201%7D)
A = $105.46.
The total finance charge is composed by the <u>down payment plus the 24 monthly payments</u>, hence:
F = 0.2 x 2900 + 24 x 105.46 = $3,111.04.
More can be learned about the monthly payment formula at brainly.com/question/26267630
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-12.8 - (-7.4) + 16.7 Expand out the brackets
-12.8 + 7.4 + 16.7 Simply add all
= 11.3
A
Domain is what can be put into the function to make it work
Considering that there are no numbers that 3x^2 cannot handle then the domain is all real numbers
Answer: it is y=2.26x3.02^x
Step-by-step explanation:
1) Value of x is: x= 5.39
2) Value of w = 125
3) Value of a = 74.21
Step-by-step explanation:
1. x + 6.8 = 12.19. What is x
We need to find the value of x
Adding -6.8 on both sides of the equation
![x + 6.8 = 12.19\\x+6.8-6.8=12.19-6.8\\x=5.39](https://tex.z-dn.net/?f=x%20%2B%206.8%20%3D%2012.19%5C%5Cx%2B6.8-6.8%3D12.19-6.8%5C%5Cx%3D5.39)
So, value of x is: x= 5.39
2) 0.05w = 6.25. How do I answer this?
We need to find value of w
Dividing both sides of equation by 0.05
![0.05w = 6.25\\\frac{0.05w}{0.05}=\frac{6.25}{0.05}\\w=125](https://tex.z-dn.net/?f=0.05w%20%3D%206.25%5C%5C%5Cfrac%7B0.05w%7D%7B0.05%7D%3D%5Cfrac%7B6.25%7D%7B0.05%7D%5C%5Cw%3D125)
So, Value of w = 125
3) a/9.05 = 8.2. What is a?
We need to find value of a
Multiplying both sides by 9.05
![\frac{a}{9.05}=8.2](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B9.05%7D%3D8.2)
![\frac{a}{9.05}*9.05=8.2*9.05\\a=74.21](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B9.05%7D%2A9.05%3D8.2%2A9.05%5C%5Ca%3D74.21)
So, Value of a = 74.21
Keywords: Solving Expressions
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