Answer:
The total number of the payments is 18 ⇒ answer A
Step-by-step explanation:
* Lets revise the rule of compounded monthly payment
→
, where
- A is the loan amount
- r is monthly interest in decimal (R/12*100))
- n the total number of payments
∵ A = $1100
∵ EMI = $71.5
- Interest rate is 19.2% APR
∵ r = ![\frac{19.2}{12*100}=0.016](https://tex.z-dn.net/?f=%5Cfrac%7B19.2%7D%7B12%2A100%7D%3D0.016)
- Substitute these values in the rule to find n
∴ 71.5 = ![\frac{1100(0.016)}{[1-\frac{1}{(1+0.016)^{n}}]}=\frac{17.6}{[1-\frac{1}{(1.016)^{n}}]}](https://tex.z-dn.net/?f=%5Cfrac%7B1100%280.016%29%7D%7B%5B1-%5Cfrac%7B1%7D%7B%281%2B0.016%29%5E%7Bn%7D%7D%5D%7D%3D%5Cfrac%7B17.6%7D%7B%5B1-%5Cfrac%7B1%7D%7B%281.016%29%5E%7Bn%7D%7D%5D%7D)
- By using cross multiplication
∴ 71.5[1 -
] = 17.6
- Divide both sides by 71.5
∴ 1 -
= ![\frac{16}{65}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B65%7D)
- Subtract 1 from both sides
∴ -
= - ![\frac{49}{65}](https://tex.z-dn.net/?f=%5Cfrac%7B49%7D%7B65%7D)
- Multiply both sides by -1
∴
= ![\frac{49}{65}](https://tex.z-dn.net/?f=%5Cfrac%7B49%7D%7B65%7D)
- By using cross multiplication
∴ 49[
] = 65
- Divide both sides by 49
∴
= ![\frac{65}{49}](https://tex.z-dn.net/?f=%5Cfrac%7B65%7D%7B49%7D)
- Insert log for both sides
∴ ㏒
= log(
)
- Put n in-front of the ㏒
∴ n㏒(1.016) = ㏒(
)
- Divide both sides by ㏒(1.016)
∴ n = 17.8 ≅ 18
* <em>The total number of the payments is 18</em>
Slop interest form is the amswer
Use order of operations.
-23-20-(-17)+(-5)x(-2)+4x5
Do all multiplication steps.
-23-20-(-17)+10+20
Do all addition and subtraction steps fro left to right.
-43-(-17)+10+20
-26+10+20
-16+20
answer: 4
-----------------------
Find Slope :
-----------------------
y = x/3 - 1
slope = 1/3
-----------------------
Equation :
-----------------------
y = mx + b
y = 1/3 x + b
-----------------------
Find y-intercept :
-----------------------
y = 1/3x + b
at point (4, 2),
2 = 1/3(4) + b
b = 2 - 4/3
b = 2/3
-----------------------
Equation :
-----------------------
y = 1/3x + 2/3