To solve this question make an equation
450 x 0.15 = X
0.15 = the percentage taken out of the paycheck
67.5 = Social Security Taxes
450 - 67.5
= $382.5
Or the easier way if you want it straight away
450 x 0.85 = $382.5
0.85 = percentage taken home
a. R\p = (10 - q)*2
The inverse demand function is just the inverse function of the demand function. In other words, we just have to isolate p in the demand function:
p = (10 - q)*2
b. R\25
The price for 5 units of output is given by the inverse demand function:
p = (10 - 5)*2 = 10
We replace p in the profit function:
π(q) = 10 * 5 - 5² = 25
c. 3
For this one, we replace the inverse demand function in the profit function and derivate for q, then equate to 0 and solve:
π(q) = ((10 - q)*2)*q - q² = 20q - 2q² - q² = 20q - 3q²
dπ/dq = 20 - 6*q
20 - 6q = 0
q = 20/6 = 3.33333
Now, a decimal level of output makes no sense. So, now we try the nearest integers 3 and 4, and find the respectives profits. The output that has that maximum profit will be the one that maximizes the profit. Keep in mind, that this will only be true in this particular case because the profit function has the form of a quadratic equation:
π(3) = 20 * 3 - 3*(3)² = 33
π(4) = 20 * 4 - 3*(4)² = 32
The answer is 3.
Answer:
12.5 % was spent
Step-by-step explanation:
How much did he start with
20 + 140 = 160
He spent 20
20/160 = 1/8
.125
12.5 % was spent
Answer:
m<ECB = 34
Step-by-step explanation:
I will assume that the quadrilateral is a parallelogram because I don't think there is a unique solution without that assumption.
Look at triangle CDE.
The sum of the measures of a triangle is 180 deg.
m<DCE + m<CDE + m<CED = 180
30 + m<CDE + 90 = 180
m<CDE = 60
m<ADC = m<ADE + m<CDE
m<ADC = 56 + 60
m<ADC = 116
m<B = m<ADC = 116
Consecutive angles of a parallelogram are supplementary.
m<ADC + m<BCD = 180
116 + m<BCD = 180
m<BCD = 64
m<BCD = m<ECB + m<ECD
64 = m<ECB + 30
m<ECB = 34
Step-by-step explanation:
24 ÷ 3:4
= 24 / 3 / 4
Basics
a / b / c = a / b / c / 1
....1 is normally invisible since a number
divided by 1 is itself. i wrote 1 down to show the reciprocal property.
a/b/c/1 = a/b × 1/c = a/bc ...Flip the number you're dividing with.
24/3/4 = 1/24 × 3/4 = 3 / 96 = 3 × 1 / 3 × 32 ...cancel the 3s'
= 1 / 32.
