No solution exists for -3x+y=-18 and -3x+y=-6
Answer: 11 party bags with 1 sticker leftover
Each bag contains 4 bubbles, 8 stickers, and 5 pencils.
<u>Step-by-step explanation:</u>
Find the GCF of 44 (bubbles), 89 (stickers), and 55 (pencils)
44: 2 x 2 x <u>11</u>
89: prime so choose 88 with 1 leftover
88: 2 x 2 x 2 x <u>11</u>
55: 5 x <u>11</u>
GCF = 11
Disregard the GCF to see how many of that item should go in each bag.
Bubbles: 2 x 2
Stickers: 2 x 2 x 2
Pencils: 5
Answer:
Step-by-step explanation:
7. 
6. 
5. ![\displaystyle 1000[0,85]^8 = 272,490525 ≈ \$272,49](https://tex.z-dn.net/?f=%5Cdisplaystyle%201000%5B0%2C85%5D%5E8%20%3D%20272%2C490525%20%E2%89%88%20%5C%24272%2C49)
4. ![\displaystyle 1000 = a \\ -15\% + 100\% = 1 - r; 85\% = 1 - r \\ 8\:years = time\:[t]](https://tex.z-dn.net/?f=%5Cdisplaystyle%201000%20%3D%20a%20%5C%5C%20-15%5C%25%20%2B%20100%5C%25%20%3D%201%20-%20r%3B%2085%5C%25%20%3D%201%20-%20r%20%5C%5C%208%5C%3Ayears%20%3D%20time%5C%3A%5Bt%5D)
3. ![\displaystyle /text{We need to use the "Exponential Decay" formula} - f(t) = a[1 - r]^t, where a > 0](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%2Ftext%7BWe%20need%20to%20use%20the%20%22Exponential%20Decay%22%20formula%7D%20-%20f%28t%29%20%3D%20a%5B1%20-%20r%5D%5Et%2C%20where%20a%20%3E%200)
2. 
1. 
I am joyous to assist you anytime.
Answer: 818.4
Step-by-step explanation:
Using the area of a sector formula, we get the area of the entire sector is 
.
Using the formula 
, we get the area of the triangle is 
.
So, the area of the shaded sector is 
Answer:
$997,500
Step-by-step explanation:
Tract 1 = 25 acres
Tract 2 = 1 square mile
Cost of land per acre = $1500
Number of acres per square mile = 640 acres
Total number fo acres :
(Tract 1 + Tract 2)
(25 + 640) acres
= 665 acres
Total cost :
665 * $1500
= $997,500
