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 explanation
Step-by-step explanation:
Your question isn't complete but let me give different scenarios to help you solve.
Firstly, assuming we want to calculate the amount of items left after the large items are carried alone, this will be:
= 561 - 36
= 525
Secondly, if we want to know the percentage of the large items that will be carried alone. This will be:
= 36/561 × 100.
= 6.42%
Thirdly, if you want to know the percentage of the items that will be left after the large ones have been carried alone. This will be:
= 100% - 6.42%
= 93.58%
I think its 206 because you'll have to change 5% into a decimal and you'll
get 0.05 because you move the decimal place to the left 2 times. Then multiply
2,600 to 0.05 to get what the population decreasing for a year, (130) then multiply is by 2 (for 2 years) and you'll get
260 students.
-Have fun in math :/
Answer:
The solution to the inequality is x≥5.5. This means there is no solution because there are only 4 stores that carry the color LeighAnn wants.
Step-by-step explanation:
2x+3 ≥ 14
2x ≥ 11
x ≥5.5
because ·x is the number of shop, it mean she needs 6 shops.
However there are only 4 shops that serve the paint she need.
So there is no solution.
Simple calculation and it is in the line with the actual situation
Answer: A
Step-by-step explanation:
Hope this helps :)
