Answer:
The 45% off discount saves an additional $10 compared to the 15% discount for a total of $15 off regular price.
Step-by-step explanation:
We can find the original price of the game through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio of $ to $. Since 15% of 100% is the same ratio as $5 to the unknown original $ price, I write:
![\frac{15}{100} =\frac{5}{y}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B100%7D%20%3D%5Cfrac%7B5%7D%7By%7D)
I can now cross-multiply by multiplying numerator and denominator from each ratio.
![15y=100(5)\\15y=500](https://tex.z-dn.net/?f=15y%3D100%285%29%5C%5C15y%3D500)
I now solve for y by dividing by 15.
![\frac{15y}{15} =\frac{500}{15} \\y= 33.33333....](https://tex.z-dn.net/?f=%5Cfrac%7B15y%7D%7B15%7D%20%3D%5Cfrac%7B500%7D%7B15%7D%20%5C%5Cy%3D%2033.33333....)
The original price was $33.34.
Now, we can find the amount if 45% off and then then compare the two discounts. To find the percent off I can multiply by 0.45(33.34)=15. The 45% off discount saves an additional $10 compared to the 15% discount.
Answer:
![m(n) = 24 (0.75)^n](https://tex.z-dn.net/?f=m%28n%29%20%3D%2024%20%280.75%29%5En)
Step-by-step explanation:
1) <u>The two points are</u>:
a) On the first swing she swings forward by 18 degrees: <em>(1, 18)</em>
b) On the second swing she only comes 13.5 degrees forward: <em>(2,13.5)</em>
2) <u>The general equation using the form given is</u>:
![m(n)=A(B)^n](https://tex.z-dn.net/?f=m%28n%29%3DA%28B%29%5En)
3) <u>Substitute the two points</u>:
![18=A(B)\\ \\ 13.5=A(B)^2](https://tex.z-dn.net/?f=18%3DA%28B%29%5C%5C%20%5C%5C%2013.5%3DA%28B%29%5E2)
4) <u>Divide the second equation by the first one</u>:
⇒ 13.5 / 18 = B
⇒ B = 0.75
5) <u>Substitue B = 0.75 into the first equation</u>:
18 = A (0.75) ⇒ A = 18 / 0.75 = 24
Hence, the equation is:
![m(n) = 24 (0.75)^n](https://tex.z-dn.net/?f=m%28n%29%20%3D%2024%20%280.75%29%5En)
Well that would be 8 apples in 4 bags so there’s 6
answer: 6
The answer is absolute dictator