Answer:
7
Step-by-step explanation:
:)
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:
8.7
Step-by-step explanation:
20^2-18^2=76
square root of 76 is 8.7 to the nearest tenth
Answer:
No, because it does not have a constant rate of change
Step-by-step explanation:
look at the changes of the y values when going from one x value to the next.
x always changes by 1.
but y changes by +7, +5, +6.
the change rate is the ratio y/x.
as we can see, this changes in each interval.
so, the change rate is not constant.
but this is the deciding property of a linear function. as the name says, a linear function is a straight line. it has the same incline (= changes rate) everywhere on the line. otherwise it is not a straight line.
The length of the ramp calculated using Pythagoras is approximately 350 cm
From the diagram attached :
- Height of ramp = opposite = 225 cm
- Angle of inclination, θ = 40°
Using Pythagoras ; the length of the ramp can calculated as follows :
Sin θ = opposite / hypotenus
Sin 40° = 225 / hypotenus
Cross multiply
Hypotenus × 0.6427876 = 225
Divide both sides by 0.6427876 to isolate the hypotenus
Hypotenus = 225 / 0.6427876
Hypotenus = 350.03786 cm
Therefore, the length of the ramp which is the hypotenus is approximately 350 cm
Learn more : brainly.com/question/10040532
