Answer:
2 stickers will be left over
Step-by-step explanation:
To answer the question, all you need to do is figure out at what value of stickers would the remaining stickers be equal to 2 if the piles are made up of either 3 to a set or 4 to a set. To do this, we need to figure out the size of the whole set of stickers.
Lets assume that the total number of stickers is 14. Lets test the 2 given conditions. If we divide it in piles of 3 then we will have a pile of 12 stickers (4 piles of 3 stickers each) with 2 stickers remaining.
Lets test the second condition. If we divide it in piles of 4, we will again have 12 stickers (3 piles of 4 stickers each) with 2 stickers remaining.
Now that both conditions have been satisfied, all we have to do is see how many stickers are left if we make a pile of 12 stickers. In this case, we will have just one pile of 12 stickers and, again, we will be left with 2 stickers.
Therefore, the answer is 2 stickers
Answer:
Vertical stretch by factor 3 reflections through the x-axis then a vertical shift up 1 unit .
Step-by-step explanation:
(6 x (7+5)) + 3 = 75
6 x 12 + 3 = 75
72 +3 = 75
I hope this helped you <3
Answer:
a
![Y = \$ 30000](https://tex.z-dn.net/?f=Y%20%20%3D%20%5C%24%2030000)
b
![Y = \$ 11250](https://tex.z-dn.net/?f=Y%20%20%3D%20%5C%24%2011250%20)
c
![X = \$ 36250](https://tex.z-dn.net/?f=X%20%20%3D%20%5C%24%20%2036250%20%20)
Step-by-step explanation:
From the question we are told that
The annual taxable income is ![A = \$ 300,000](https://tex.z-dn.net/?f=A%20%3D%20%5C%24%20300%2C000)
The tax rate for next year is ![r = 0.25](https://tex.z-dn.net/?f=r%20%3D%20%200.25)
The present tax rate is ![R = 0.35](https://tex.z-dn.net/?f=R%20%3D%20%200.35)
Generally the present amount of tax collected from Ms Benoit is
![K = A * R](https://tex.z-dn.net/?f=K%20%3D%20%20A%20%20%20%2A%20R)
![K = 300000 * 0.35](https://tex.z-dn.net/?f=K%20%3D%20%20300000%20%20%2A%200.35%20)
=>
Generally the amount of tax collected from Ms Benoit nest year is
![B = A * r](https://tex.z-dn.net/?f=B%20%3D%20%20A%20%20%20%2A%20r)
![B = 300000 * 0.25](https://tex.z-dn.net/?f=B%20%3D%20%20300000%20%20%2A%200.25%20)
=>
The reduction in the tax amount is mathematically represented as
![Y = K - B](https://tex.z-dn.net/?f=Y%20%20%3D%20%20K%20%20-%20B)
=> ![Y = 105000 - 75000](https://tex.z-dn.net/?f=Y%20%20%3D%20%20105000%20%20-%2075000)
=> ![Y = \$ 30000](https://tex.z-dn.net/?f=Y%20%20%3D%20%5C%24%2030000)
Generally the tax amount of next year when the income is $375,000 is mathematically represented as
![M = 375 000 * r](https://tex.z-dn.net/?f=M%20%20%3D%20%20375%20000%20%20%20%2A%20%20%20r)
=> ![M = 375 000 * 0.25](https://tex.z-dn.net/?f=M%20%20%3D%20%20375%20000%20%20%20%2A%20%20%200.25)
=> ![M = \$ 93 750](https://tex.z-dn.net/?f=M%20%20%3D%20%20%5C%24%2093%20750%20)
The reduction in the tax amount is mathematically represented as when the income for next year is $375,000
![Z = K - M](https://tex.z-dn.net/?f=Z%20%20%3D%20%20K%20%20-%20M)
=> ![Z = 105000 -93 750](https://tex.z-dn.net/?f=Z%20%20%3D%20%20105000%20%20-93%20750%20)
=> ![Z = \$ 11250](https://tex.z-dn.net/?f=Z%20%20%3D%20%5C%24%2011250%20)
Generally the tax amount of next year when the income is $275,000 is mathematically represented as
![U = 275,000 * r](https://tex.z-dn.net/?f=U%20%20%3D%20%20275%2C000%20%20%20%2A%20%20%20r)
=> ![U = 275 000* 0.25](https://tex.z-dn.net/?f=U%20%20%3D%20%20275%20000%2A%20%20%200.25)
=> ![M = \$ 68 750](https://tex.z-dn.net/?f=M%20%20%3D%20%20%5C%24%2068%20750%20%20)
The reduction in the tax amount is mathematically represented as when the income for next year is $275,000
![X = K - M](https://tex.z-dn.net/?f=X%20%20%3D%20%20K%20%20-%20M)
=> ![X = 105000 -68 750](https://tex.z-dn.net/?f=X%20%20%3D%20%20105000%20%20-68%20750%20)
=> ![X = \$ 36250](https://tex.z-dn.net/?f=X%20%20%3D%20%5C%24%20%2036250%20%20)