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 = 
- 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 -
= 
- Subtract 1 from both sides
∴ -
= - 
- Multiply both sides by -1
∴
= 
- By using cross multiplication
∴ 49[
] = 65
- Divide both sides by 49
∴
= 
- 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>
Step-by-step explanation:
1/2(4y+6)=4-2(y-6)/3= -2
step by step explaining
subtract 2 with 3 to get -1
then add 1 to it to get -2 so the answer is -2
X = 180 - 42 - 73 = 65 degrres
y = 180 - 131 = 49 degrees
< z = 65 + 49 = 114 degrees (answer).
Answer:
Formula: 0.12x = y
Step-by-step explanation:
5 × 0.12 = 0.60
3 × 0.12 = 0.36
14 × 0.12 1.68