Answer:
0.5 is your answer
Step-by-step explanation:
Expression: x - 7437 = 1400
answer: 1400 + 7437 = 8837 (x)
hope this helps! comment if further explanation is needed :)
Convert 10% into a decimal
(0.1)^{2} - (5%)^{2}
Remove parentheses around 0.1
0.1^{2}-(5%)^{2}
Raise 0.1 to the power 2 to get 0.1
0.01-(5%)^{2}
Convert 5% to a decimal
0.01-(0.05)^{2}
Remove parentheses around 0.05
0.01-0.05^{2}
Raise 0.05 to the power of 2 to get 0.0025
0.01-1*0.0025
Multiply -1 by 0.0025 to get -0.0025
0.01-0.0025
Subtract 0.0025 from 0.01 to get 0.0075
You Answer is: 0.0075
Step-by-step explanation:
the solutions for a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -4
c = k
x = (4 ± sqrt(16 - 4k))/2 = 2 ± sqrt(4 - k)
x1 = 2 + sqrt(4 - k)
x2 = 2 - sqrt (4 - k)
x1 = 2 + x2
2 + sqrt(4 - k) = 2 + 2 - sqrt(4 - k)
2×sqrt(4 - k) = 2
sqrt(4 - k) = 1
4 - k = 1
k = 4 - 1 = 3
x1 = 3
x2 = 1
Answer:

The fruit company’s expected returns are 10.8%
Step-by-step explanation:
The expected returns of the fruit company is given by

For the given case,
Returns in normal rainfall = x₁ = 20% = 0.20
Returns in drought = x₂ = -3% = -0.03
Probability of normal rainfall = P(x₁) = 60% = 0.60
Probability of drought = P(x₂) = 40% = 0.40
So, the expected value of returns is

Therefore, the fruit company’s expected returns are 10.8%