Answer:
$11,983
Step-by-step explanation:
YEAR;Amount
0 $5,000
1 $5,300
2 $5,618
3 $5,955
4 $6,312
5 $6,691
6 $7,093
7 $7,518
8 $7,969
9 $8,447
10 $8,954
11 $9,491
12 $10,061
13 $10,665
14 $11,305
15 $11,983
Answer:
10
Step-by-step explanation:
![\triangle CDE \sim \triangle GDF.. (given) \\\\\therefore \frac{CD}{GD} =\frac{DE}{DF}.. (csst) \\\\\therefore \frac{15}{x+3} =\frac{3x+1}{4}\\\\ \therefore \: 15 \times 4 = (x + 3)(3x + 1) \\ \\ \therefore \: 60 = 3 {x}^{2} + x + 9x + 3 \\ \\ \therefore 3 {x}^{2} + 10x + 3 - 60 = 0 \\ \therefore 3 {x}^{2} + 10x - 57 = 0 \\ \therefore 3 {x}^{2} + 19x - 9x - 57 = 0 \\ \therefore \: x(3x + 19) - 3(3x + 19) = 0 \\\therefore \: (3x + 19)(x - 3) = 0 \\ \therefore \: 3x + 19 = 0 \: \: or \: \: x - 3 = 0 \\ \therefore \: x = - \frac{19}{3} \: \: or \: \: x = 3 \\ \because \: x \: can \: not \: be \: - ve \\ \therefore \: x = 3 \\ ED = 3x + 1 = 3 \times 3 + 1 \\ \huge \red{ \boxed{ ED= 10}}](https://tex.z-dn.net/?f=%5Ctriangle%20CDE%20%5Csim%20%5Ctriangle%20GDF..%20%28given%29%20%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%20%5Cfrac%7BCD%7D%7BGD%7D%20%3D%5Cfrac%7BDE%7D%7BDF%7D..%20%28csst%29%20%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%20%20%5Cfrac%7B15%7D%7Bx%2B3%7D%20%3D%5Cfrac%7B3x%2B1%7D%7B4%7D%5C%5C%5C%5C%20%5Ctherefore%20%20%20%5C%3A%2015%20%5Ctimes%204%20%3D%20%28x%20%2B%203%29%283x%20%2B%201%29%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%20%20%5C%3A%2060%20%3D%203%20%7Bx%7D%5E%7B2%7D%20%20%2B%20x%20%2B%209x%20%2B%203%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%203%20%7Bx%7D%5E%7B2%7D%20%20%2B%2010x%20%2B%203%20-%2060%20%3D%200%20%5C%5C%20%5Ctherefore%20%203%20%7Bx%7D%5E%7B2%7D%20%20%2B%2010x%20%20-%2057%20%3D%200%20%5C%5C%20%5Ctherefore%20%203%20%7Bx%7D%5E%7B2%7D%20%20%2B%2019x%20-%209x%20%20-%2057%20%3D%200%20%5C%5C%20%5Ctherefore%20%20%20%5C%3A%20x%283x%20%2B%2019%29%20-%203%283x%20%2B%2019%29%20%3D%200%20%5C%5C%5Ctherefore%20%20%20%5C%3A%20%20%283x%20%2B%2019%29%28x%20-%203%29%20%3D%200%20%5C%5C%20%5Ctherefore%20%20%20%5C%3A%203x%20%2B%2019%20%3D%200%20%5C%3A%20%20%5C%3A%20or%20%5C%3A%20%20%5C%3A%20x%20-%203%20%3D%200%20%5C%5C%20%20%5Ctherefore%20%20%20%5C%3A%20x%20%3D%20%20-%20%20%5Cfrac%7B19%7D%7B3%7D%20%20%5C%3A%20%20%5C%3A%20or%20%5C%3A%20%20%5C%3A%20x%20%3D%203%20%5C%5C%20%20%5Cbecause%20%5C%3A%20x%20%5C%3A%20can%20%5C%3A%20not%20%5C%3A%20be%20%5C%3A%20%20-%20ve%20%5C%5C%20%5Ctherefore%20%20%20%5C%3A%20x%20%3D%203%20%5C%5C%20ED%20%3D%203x%20%2B%201%20%3D%203%20%5Ctimes%203%20%2B%201%20%20%5C%5C%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%20ED%3D%2010%7D%7D)
The greatest common factor is 6. Thus means we divide every part of the expression by 6.
6x^2/6 = x^2
42x/6 = 7x
-18/6 = -3
Your new expression is 6(x^2 + 7x -3).
Answer:
5 chaperones are needed.
Step-by-step explanation:
400 x 4/5 = 320
320 ÷ 75 = 4.3
7.71 feet is your answer.