Max height is the vertex
convert to vertex form (y=a(x-h)^2+k) by completeing the square
h(t)=-16(t²-4t)+80
h(t)=-16(t²-4t+4-4)+80
h(t)=-16((t-2)²-4)+80
h(t)=-16(t-2)²+64+80
h(t)=-16(t-2)²+144
vertex is (2,144)
at t=2, the height is 144
max height is 144ft
x*(1.035) + (4,200-x)*(1.045) = 4,374.00
1.035x + 4,389.00 -1.045x = 4,374.00
15.00 = .01x
x = 1,500 so x (1,500) invested at 3.5% and
(4,200 - 1,500) (or 2,700) invested at 4.5%
Answer:
8934 (8933.58542585)
Step-by-step explanation:
8,500 (population currently) * 1.01 (1 percent) ^ 5 (years) = 8933.58542585 ≅ 8934 people.
The height could be 2 and the width 10 or the height could be 10 and the width could be 2.
