Answer: 63%
Step-by-step explanation:
<u>First step</u>
Find the 10th year rate of loss that will make the average of loss over the 10 years to equal 38.0%.
Assume this rate is x;
x = 37%
<u>Second step - Survival rate</u>
The survival rate is calculated by;
= 1 - rate of loss
= 1 - 37%
= 63%
Answer:
4712.4
Step-by-step explanation:
I got the same question a few days ago.
The volume is πr^2 * h / 3
r = 15
h = 20
225π * 20 / 3
1500π
It's 4712.38898
Round to 4712.4
The answer is 5 feet I think
You did it right (almost, I got 21 instead of 19) but didn't finish. You need to show your discriminant is never negative.
x² + (p+1)x = 5-2p
x² + (p+1)x +(2p-5) =0
Real roots mean a positive (or at least non-negative) discriminant:
D = b² - 4ac = (p+1)² - 4(1)(2p - 5) = p² + 2p + 1 - 8p + 20
D = p² - 6p + 21
It's not totally obvious that D>0; we prove that by completing the square by noting
(p-3)² = p² - 6p + 9
so
p² - 6p = (p-3)² - 9.
D = p² - 6p + 21
D = (p-3)² - 9 + 21
D = (p-3)² + 12
Now we clearly see D>0 always because the squared term can't be negative, so D is always at least 12. We always get two distinct real roots.
The roots of the quadratic equation 3y² + 3(4y² - 2) is ± √(1/7).
<h3>What is a quadratic equaton?</h3>
A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, 3y² + 3(4y² - 2).
3y² + 12y² - 2.
14y² - 2.
Let 14y² - 2 = 0.
14y² = 2.
y² = (2/14).
y = ± √(2/14) Or ± √(2/2×7) Or ± √(1/7).
learn more about quadratic equations here :
brainly.com/question/17177510
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