Answer:
s = height above ground
s = 60 + 20 t - 4.9 t^2 (standard physics equation on earth)
at t = 0
s = 60 (clearly :)
now when does it hit the bleak earth?
That is when s = 0
4.9 t^2 - 20 t -60 = 0
solve quadratic and use the positive t (the negative t was back before you threw it if you had thrown it from the ground)
t = 6.09 or - 2.01
use t = 6.09
now to do the last part there are two obvious ways to get t at the peak
1. look for vertex of parabola
2. look for halfway between t = -2.01 and t = 6.09
I will do it the hard (11) waay by completing the square
4.9 t^2 - 20 t = -(s-60)
t^2 - 4.08 t = -.204 s + 12.2
t^2 - 4.08 t +2.04^2 = -.204 s +12.2 + 4.16
(t-2.04)^2 = -.204(s-80.2)
so
top at 80.2 meters at t = 2.04 s
===============
quick check on time
should be average of 6.09 and -2.01
=4.08 /2 = 2.04 check
Answer:
The slope is 4/1
Step-by-step explanation:
for every 4 units you go up on the y-axis, you go 1 unit on the x-axis.
Answer: <u>Irrational </u>
It's irrational because of how 37 comes out of the square root.
For example:
The square root of 64 comes out to 8, which is a whole number. But 37, comes out as an integer and a decimal.
Convert mixed number to improper fraction:
9514 1404 393
Answer:
3.4%
Step-by-step explanation:
The total amount due is ...
A = P(1 +rt/12) . . . . . principal P, annual rate r, t months
33829.50 = 28500(1 +66/12r)
1.187 = 1 +5.5r . . . . . divide by 28500, simplify
0.185/5.5 = r = 0.034 = 3.4%
The interest rate on the loan is 3.4%.
