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:
Step-by-step explanation:
Using translation concepts, the graph of f(x) is given at the end of the answer.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The parent absolute value function is given by:
f(x) = |x|
Which has the graph in the format of a V centered at the origin.
The translated function is given by:
g(x) = -1/2|x + 4| + 2.
The translations are as follows:
- Reflection over the x-axis, due to the multiplication by the negative number, thus the V is pointing down now.
- Vertical compression by a factor of 2, due to the division by 2.
- Shift left of 4 units, as x -> x + 4.
- Shift up of 2 units, as y -> y + 2.
Due to the last two translations, the graph is now centered at (-4,2) and is given at the end of the answer.
More can be learned about translation concepts at brainly.com/question/4521517
#SPJ1
Answer:
A= $11500
Step-by-step explanation:
Step one:
given data
P=10,000.00
r=5%,and
t=3 years
Required
The final amount A
Step two:
assuming a simple interest we have
A= P(1+rt)
substitute
A= 10000(1+0.05*3)
A= 10000(1+0.15)
A=10000(1.15)
A=$11500
Answer:
87
Step-by-step explanation:
16 × 6 = 96 cans
96 - 9 = 87
