Solving the quadratic equation we conclude that:
- The maximum height is 45ft.
- The rocket is 18 seconds in the air.
<h3>
How to get the maximum height of the rocket?</h3>
The height of the rocket is defined by the quadratic equation:
The maximum height is what we get in the vertex of the quadratic equation, such that for this quadratic equation, the vertex is at:
So the maximum height is what we get when we evaluate in t = 9:
The maximum height is 45ft.
<h3>How to get the time in the air?</h3>
Now we need to solve the equation for the largest value of t:
Rewriting it, we get:
The maximum solution is what we get when:
0 = 90 - t*5
t = 90/5 = 18
The rocket is 18 seconds in the air.
If you want to learn more about quadratic equations:
brainly.com/question/1214333
#SPJ1
Answer:
f(x)=-2x+1
Step-by-step explanation:
Once points are plotted, you can use the rise/run method to find the slope which is 2/1=2. Then you can determine that its a negative function since the y values decrease as x increases. Lastly, since the y-intercept is a 1, you can fill in the blanks for the basic y=mx+b equation.
Isabella will have $6147 after 4years.
<h3>
What is compound interest?</h3>
Compound interest is the addition of interest to the principal sum of a loan or deposit.
C.I. = Amount - Principle
Amount is given as-
A = P {1 + (r/n)}^(nt)
where A is the final amount
P is the initial principle amount
r is the interest rate
t is the time period elapsed
n is number of times interest applied per time period
Now it is given that
P = $5000
r = 5.3%
n = 1 years, since its annually
t = 4 years
⇒ A = P {1 + (r/n)}^(nt)
⇒ A = 5000 {1 + (5.3/100*1)}^(4*1)
⇒ A = 5000 {1 + (0.053)}^(4)
⇒ A = 5000 {1.053}^(4)
⇒ A = 5000 * 1.23
⇒ A = $6147.28
⇒ A ≈ $6147
Hence,Isabella will have $6147 after 4years.
More about Compound interest :
brainly.com/question/17197734
#SPJ1