When x=0 y=50 when y=0 x=+\-5. -x^2 makes the parabola open downward y(x)=2x^2+50;y(3)=2*9+50=32
Answer:
12.4 feet
Step-by-step explanation:
A ladder placed against the wall forms a right angle triangle
Hypotenuse ² = opposite ² + adjacent ²
Hypotenuse = 13 feet
Opposite = 4 feet
Adjacent = x
Hypotenuse ² = opposite ² + adjacent ²
13² = 4² + x²
169 = 16 + x²
169 - 16 = x²
153 = x²
Find the square root of both sides
√153 = √x²
12.369316876852 = x
x = 12.4 feet
Adjacent = x = 12.4 feet
Answer:
Standard deviation 46.3
Step-by-step explanation:
A 28% of the distribution is equivalent to a z score of -0.5828, you can use a z table to find that.
Z score is calculated as follows:
x is the number being evaluated
μ is the mean
σ is the standard deviation
And it is used to calculate how many standard deviations you are from the mean of the sample.
Replacing with the known information you can calculate the standard deviation:
You will need to use this formula:
<span>Years = {log(total) -log(Principal)} ÷ log(1 + rate)
Years = [log(15,000) - log(2,500)] / log (1.0525)
</span>
<span>
<span>
<span>
4.1760912591
</span>
</span>
</span>
-
<span>
<span>
<span>
3.3979400087
</span>
</span>
</span>
/
<span>
<span>
<span>
0.0222221045
</span>
</span>
</span>
=
<span>
<span>
<span>
0.7781512504
</span>
</span>
</span>
/ <span>
<span>
<span>
0.0222221045 =
</span></span></span>
<span>
<span>
<span>
35.0169917705
</span>
</span>
</span>
years
About 35 years
You'll find the formula here: http://www.1728.org/compint2.htm
And a compound interest calculator here: http://www.1728.org/compint.htm
(You'll find both are helpful for this problem).
The Gradient would be negative therefore making it start by going down then up, making a sad mouth. the x intercepts will be the same. Frankly it just flipped upside down. I remember it like if the gradient is positive then happy smile, if its negative then sad smile. Hope I helped.
