Answer:
3.75
Step-by-step explanation:
g(x)=60(1-0.5)^x, g(4)
g(4)=60(1-0.5)^4
g(4)=60(.5)^4
g(4)=60(0.0625)
g(4)=3.75
1.
Height h = 240 feet
We insert it into formula.

Now we solve this for t:

We have two answers as the rocket will pass this height on it's way up and down.
2.
Height h = 0 feet
We insert it into formula.

Now we solve this for t:

We do not consider solution -1 as the time can not be negative. Our solution is 5s.
3.
Height at bottom of hill h = 0 feet
We insert it into formula.
Answer:
349800
4
Step-by-step explanation:
First Part:
The question tells you to multiply by 10 to the power of 4.
This implies that you can move the decimal point 4 numbers to the right
When you move the decimal two numbers to the right you get 3498
Then you got to move it two more numbers to the right
3498 can also be written as 3498.0000000000 (infinite amount of zeros)
So moving the decimal two more places you get 349800
Second Part:
10^4 = 10 * 10 * 10 * 10
= 10000
Count the zeros you get 4.
Answer:
_______________________
{1 + (0.045/4) } = 1.01125
____________________________
What is: "(0.045) / (4)" ???
Using a calculator: "(0.045) ÷ (4) = 0.01125 ".
______________________________________
Then: " 0.01125 + 1 = 1.01125 " .
______________________________________
y= x + 2 and y = x^2 - 4
Substitute mx + b for y
x^2 - 4 = x + 2
Solve for x
x^2 - 4 = x + 2
x^2 - x - 6 = 0
(x - 3)(x + 2) = 0
x - 3 = 0; x = 3
x + 2 = 0; x = -2
Substitute the first x value into the linear equation and solve for y
y = 3 + 2
y = 5
One solution is (3, 5)
Substitute the second x value into the linear equation and solve for y
y = -2 + 2
y = 0
Another solution is (-2 , 0)