Answer:
The total number of the payments is 18 ⇒ answer A
Step-by-step explanation:
* Lets revise the rule of compounded monthly payment
→ ![EMI=\frac{(A)(r)}{[1-\frac{1}{(1+r)^{n}}]}](https://tex.z-dn.net/?f=EMI%3D%5Cfrac%7B%28A%29%28r%29%7D%7B%5B1-%5Cfrac%7B1%7D%7B%281%2Br%29%5E%7Bn%7D%7D%5D%7D)
, 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>
Answer:
- see the attached for domain
- Range: (-∞, 4], [3, ∞), [-3, 1]
Step-by-step explanation:
The domain is the horizontal extent of the graph. When the graph has arrows on the end, it extends to infinity in the indicated direction.
__
The range is the vertical extent of the graph.
<u>Left Graph</u>
We assume the curve is intended to touch, not cross, the line y=4, so the range is ...
range: (-∞, 4]
__
<u>Middle Graph</u>
We assume the graph continues along the line y=3 to the right indefinitely. Then this value is the minimum of the range.
range: [3, ∞)
__
<u>Right Graph</u>
The low point on the graph is at y=-3, and it looks like the graph continues to the right along the line y=1. Then the range is ...
range: [-3, 1]
Answer:
c
Step-by-step explanation:
3 because u have to do 3 times 4 than add that one witch give you 13 over 4 so u have to divide 4 and 13 witch gives u 3
First you do the parentheses wich is (3 + 1 ) and that equals 4 and now you do 6 times 1 and that eqal 6 and then you multiply 6 by 4 and the answer is 24
