Let x be the number of weeks for this financial situation. The amount that Katherine will have at the end of x weeks is 140 + 6x. On the other hand, with the spending that she is doing, Abbie will have 462 - 10x after x weeks. Equating the two,
140 + 6x = 462 - 10x
Thus, the answer is letter B.
Answer:
5.22
Step-by-step explanation:
18% = 18/100 or 0.18
18/100 * 29 = 522/100 or 5.22
Answer:
A) x²/25 + y²/9 = 1
Step-by-step explanation:
The major axis length is the sum of distances to the foci from the ellipse, 10. So the semi-major axis has length 10/2 = 5. The foci are on the x-axis, so the ellipse is oriented horizontally.
The semi-minor axis is the other leg of the right triangle having the focus and center as one leg, and the semi-major axis as the hypotenuse. This is obviously a 3-4-5 triangle, so the semi-minor axis length is 3.
When the ellipse is horizontal, the formula for it is ...
... (x/(semi-major axis))² + (y/(semi-minor axis))² = 1
... (x/5)² + (y/3)² = 1
... x²/25 + y²/9 = 1
Answer:
Assuming the cones are the same height, then
V1 = pi * r^2 * h/3 = 3.14159*1^2*h/3
V2 = 3.14159*2.5^2*h/3 = 3.14159*6.25*h/3
V1/V2=(3.14159*h/3)/(3.14159*6.25)*h/3
V1/V2 = 1/6.25 = .16
V2/V1=(3.14159*6.25)*h/3/(3.14159*h/3)
V2/V1=6.25/1 = 6.25
