You can either find the roots of the quadratic formula using the quadratic formula two find the halfway point or you can use the formula t=-b/2a. Both of the two methods gives you the axis of symmetry (the t value for the vertex).
I will use the second method since I don't like using the quadratic formula.
t=-32/(2x-16)
t=1 second
After you find the t value for the axis of symmetry, you plug it into the formula of the graph to find the height.
h=-16+32+14
h=30 feet
The answer is <u><em>0.76075</em></u>!
<em>Hope this helps!</em>
Answer:
$2,226.96
Step-by-step explanation:
You are going to want to use the compound interest formula, which is shown below.
<em>P = initial balance
</em>
<em>r = interest rate
</em>
<em>n = number of times compounded annually
</em>
<em>t = time
</em>
<em />
First, change 10% into its decimal form:
10% -> 
-> 0.1
Now lets plug in the values into the equation:
The final amount after 15 years is $2,226.96
Answer:
n = 6
Step-by-step explanation:
Two intersecting chords. The product of the parts of one chord is equal to the product of the parts of the other chord, that is
7(n + 4) = 5(n + 8) ← distribute parenthesis on both sides
7n + 28 = 5n + 40 ( subtract 5n from both sides )
2n + 28 = 40 ( subtract 28 from both sides )
2n = 12 ( divide both sides by 2 )
n = 6
Multiply both sides by y...
(3/y)y-(6/y)y-2y
Simplify it...
(3/y)y=3
(6/y)y=6
3=6-2y
Subtract 6 from both sides...
-2y=-3
Divide both sides by -2...
y=3/2
The solution is y=3/2
