<u>Note</u>: <em>It seems the question is wrong when it states the relationship of distance. If d is the distance from the ground, at t = 0, we get d = 0 too which means with no time spent, Math Man hits the ground.</em>
It assumed d = t²*0.25 is the distance from the top of the building.
We know the height of the building is 500 meters.
We need to find the value of t, when d = 500 m:
- 0.25t² = 500
- t² = 500/0.25
- t² = 2000
- t = √2000
- t = 44.7 units of time (assumed seconds)
The amount of money in the account in addition to that earned from mowing lawns.
125 is the amount in the account when 0 weeks are spent mowing lawns. Presumably, it is the initial value of the account before the first lawn money is added.
Hope to help
The correct selling price is about $20, and the likely mistake was the manager multiplied the $12 by .67 (the 67%), got about 8, and took that as the price instead of adding it to the original 12, which is what they were supposed to do.
Just comparing the given y= +(x-2)^2 + 4 to
y = (x - h)^2 + k
reveals that the vertex is at (h, k): (2, 4) and that the graph opens up.
The correct graph is the one in the upper left hand area of the illustration.
The total number of minus signs is odd, so the product is negative.
(-1)^39 = -(1^39) = -1