R= I/Pt
R= 15/ 400* 9
R= 0.004* 100
R= 0.416
I hope this helps you, I am not 100% sure, you may want to check with someone else but this is what I think it would be
Answer:
nonlinear
Step-by-step explanation:
$350 * 30/100 = $ 105 which is down payment.
$350 - $105 = $245 which is left.
But he will pay $24.50 * 12 = $294 instead.
$294 - $245 = $49
He will pay $49 more.
He paid $105 as down payment and will pay $294 more with 12 months.
Total will be $105 + $294 = $399
The question is an illustration of permutation and combinations.
- The number of ways she can choose 4 out of the 7 paintings is 35
- The number of ways she can arrange 4 out of the 7 paintings is 840
The given parameters are:
![\mathbf{n = 7}](https://tex.z-dn.net/?f=%5Cmathbf%7Bn%20%3D%207%7D)
![\mathbf{r = 4}](https://tex.z-dn.net/?f=%5Cmathbf%7Br%20%3D%204%7D)
<u>(a) Choose 4 of 7 paintings</u>
Choosing 4 of 7 paintings implies combination.
So, we have:
![\mathbf{^nC_r = \frac{n!}{(n - r)!r!}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5EnC_r%20%3D%20%5Cfrac%7Bn%21%7D%7B%28n%20-%20r%29%21r%21%7D%7D)
Substitute values for n and r
![\mathbf{^7C_4 = \frac{7!}{(7 - 4)!4!}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5E7C_4%20%3D%20%5Cfrac%7B7%21%7D%7B%287%20-%204%29%214%21%7D%7D)
![\mathbf{^7C_4 = \frac{7!}{3!4!}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5E7C_4%20%3D%20%5Cfrac%7B7%21%7D%7B3%214%21%7D%7D)
Expand
![\mathbf{^7C_4 = \frac{7 \times 6 \times 5 \times 4!}{3 \times 2 \times 1 \times 4 !}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5E7C_4%20%3D%20%5Cfrac%7B7%20%5Ctimes%206%20%5Ctimes%205%20%5Ctimes%204%21%7D%7B3%20%5Ctimes%202%20%5Ctimes%201%20%5Ctimes%204%20%21%7D%7D)
![\mathbf{^7C_4 = 35}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5E7C_4%20%3D%2035%7D)
Hence, the number of ways she can choose 4 out of the 7 paintings is 35
<u>(b) Arrange 4 of 7 paintings</u>
Arranging 4 of 7 paintings implies permutation.
So, we have:
![\mathbf{^nP_r = \frac{n!}{(n - r)!}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5EnP_r%20%3D%20%5Cfrac%7Bn%21%7D%7B%28n%20-%20r%29%21%7D%7D)
Substitute values for n and r
![\mathbf{^7P_4 = \frac{7!}{(7 - 4)!}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5E7P_4%20%3D%20%5Cfrac%7B7%21%7D%7B%287%20-%204%29%21%7D%7D)
![\mathbf{^7P_4 = \frac{7!}{3!}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5E7P_4%20%3D%20%5Cfrac%7B7%21%7D%7B3%21%7D%7D)
Expand
![\mathbf{^7P_4 = \frac{7 \times 6 \times 5 \times 4 \times 3!}{3!}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5E7P_4%20%3D%20%5Cfrac%7B7%20%5Ctimes%206%20%5Ctimes%205%20%5Ctimes%204%20%5Ctimes%203%21%7D%7B3%21%7D%7D)
![\mathbf{^7P_4 = 840}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5E7P_4%20%3D%20840%7D)
Hence, the number of ways she can arrange 4 out of the 7 paintings is 840
Read more about permutation and combinations at:
brainly.com/question/15301090
Lets see here am not sure what u mean?