a. At its maximum height, the ball has zero vertical velocity, so


b. The ball's height in the air
at time
is given according to

Solve for
when
:

10.
12*3^2+36 needs to be 540
12*9+36
9+36=45
12*45=540 so
12(3^2+36)
11.
32/2^3-4 needs to be 8
32/(2^3-4)
12.
2.3^2+9*4/2 needs to be 28.58
5.29+9*4/2
(5.29+9)*4/2=28.58
(2.3^2+9)*4/2
Hope this helps :)
Divide by 12375 and take the logarithm.
.. 500/12375 = 0.7749^(n -1)
.. log(4/99) = (n -1)*log(0.7749)
.. n = 1 +log(4/99)/log(0.7749)
.. n ≈ 13.583
Answer:
the original population of the city is 7,505,833
Step-by-step explanation:
Given;
new of the population of the city, Y = 9,007,000
the percentage increase of the city, = 20% = 0.2
Let the original population of the city = X
New population, Y = X + 0.2X
Y = X(1 + 0.2)
Y = X(1.2)
Y = 1.2X
X = Y/1.2
X = (9,007,000) / 1.2
X = 7,505,833
Therefore the original population of the city is 7,505,833
$75 a month. 75x12 = 900. i used 12 because that’s the number of months in a year. hope this helps