Answer:
<h3>A) 204m</h3><h3>B) 188m</h3>
Step-by-step explanation:
Given the rocket's height above the surface of the lake given by the function h(t) = -16t^2 + 96t + 60
The velocity of the rocket at its maximum height is zero
v = dh/dt = -32t + 96t
At the maximum height, v = 0
0 = -32t + 96t
32t = 96
t = 96/32
t = 3secs
Substitute t = 3 into the modeled function to get the maximum height
h(3) = -16(3)^2 + 96(3) + 60
h(3) = -16(9)+ 288 + 60
h(3) = -144+ 288 + 60
h(3) = 144 + 60
h(3) = 204
Hence the maximum height reached by the rocket is 204m
Get the height after 2 secs
h(t) = -16t^2 + 96t + 60
when t = 2
h(2) = -16(2)^2 + 96(2) + 60
h(2) = -64+ 192+ 60
h(2) = -4 + 192
h(2) = 188m
Hence the height of the rocket after 2 secs is 188m
<h3>
Answer: Choice D. 12,600 feet</h3>
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Explanation:
We have two similar triangles here, so we can set up the proportion below to solve for x
5200/(5200+6500) = 5600/x
5200/11700 = 5600/x
5200x = 11700*5600 .... cross multiply
5200x = 65,520,000
x = (65,520,000)/(5200)
x = 12,600 which shows why the answer is choice D
side note: 12,600 ft = 2.386 miles approximately
Not sure if this is correct but:
Step-by-step explanation: P = 2000
R = 5% = 0.05
n = 4
y = 2000 ( 1 + 
) 
= 2000 ( 1.0125 )
Substitute values in the compound interest formula:
y = P ( 1 + 
)
.
Hope this helps..
Answer:
77
Step-by-step explanation:
it is the same angle from one side and theother
Answer:
Your total balance is 154.
Step-by-step explanation:
You start with 120.
+30
-21
-21
+45
Hope that helps.
