Answer:
1st week deposit= 2b+3
2nd week deposit=2(2b+3)
3rd week deposit=4(2b+3)
Total deposit=2b+3+2(2b+3)+6(2b+3)
=9(2b+3)
=18b+27
18b+27=477
18b. =477-27=450
18b. =450
;
b=450/18=25
Therefore 2b+3=2(25)+3 =50+3=53
PLEASE GIVE BRAINLIEST
Answer:
6 batches is the least amount.
Step-by-step explanation:
6 x (10+ 6) = 8 x (8 +x)
Simplify:
96 = 64 + 8x
Subtract 64 from both sides:
32 = 8x
Divide both sides by 8
X = 4
The volume of a prism is given by
![V = A_b\cdot h](https://tex.z-dn.net/?f=V%20%3D%20A_b%5Ccdot%20h)
Where
is the base are and
is the height.
So, if two prisms have the same height and the same volume, they must have the same base area.
The first base is an equilateral triangle, which means that the height is given by
![h = \dfrac{l\sqrt{3}}{2}](https://tex.z-dn.net/?f=h%20%3D%20%5Cdfrac%7Bl%5Csqrt%7B3%7D%7D%7B2%7D)
So, the area is
![A = 8\cdot\dfrac{8\sqrt{3}}{2} = 32\sqrt{3}](https://tex.z-dn.net/?f=A%20%3D%208%5Ccdot%5Cdfrac%7B8%5Csqrt%7B3%7D%7D%7B2%7D%20%3D%2032%5Csqrt%7B3%7D)
The area of the second base is simply the product of the dimensions, so it is ![6.9x](https://tex.z-dn.net/?f=6.9x)
Since the two areas must be the same, we have
![32\sqrt{3}=6.9x \iff x = \dfrac{32\sqrt{3}}{6.9} \approx 8.03270](https://tex.z-dn.net/?f=32%5Csqrt%7B3%7D%3D6.9x%20%5Ciff%20x%20%3D%20%5Cdfrac%7B32%5Csqrt%7B3%7D%7D%7B6.9%7D%20%5Capprox%208.03270)
Answer:
y= 1x-2
Step-by-step explanation:
The slope is 1.
The y- intercept is (0,-2)
In the equation
y= 1x-2
Hope this helps!