He would have to work 13 hours
Answer:
no
Step-by-step explanation:
because you have two variables x and y, and there is two letters attached to one number 4xy, so no is not a linear equation
Answer:
Step-by-step explanation:
We have the equations
4x + 3y = 18 where x = the side of the square and y = the side of the triangle
For the areas:
A = x^2 + √3y/2* y/2
A = x^2 + √3y^2/4
From the first equation x = (18 - 3y)/4
So substituting in the area equation:
A = [ (18 - 3y)/4]^2 + √3y^2/4
A = (18 - 3y)^2 / 16 + √3y^2/4
Now for maximum / minimum area the derivative = 0 so we have
A' = 1/16 * 2(18 - 3y) * -3 + 1/4 * 2√3 y = 0
-3/8 (18 - 3y) + √3 y /2 = 0
-27/4 + 9y/8 + √3y /2 = 0
-54 + 9y + 4√3y = 0
y = 54 / 15.93
= 3.39 metres
So x = (18-3(3.39) / 4 = 1.96.
This is a minimum value for x.
So the total length of wire the square for minimum total area is 4 * 1.96
= 7.84 m
There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.
Answer:
£24,980
Step-by-step explanation:
total pay = monthly salary + percent of annual profit + £250 bonus
monthly salary = £1,850
annual salary = 12 × £1,850 = £22,200
agency income = £356,000
agency costs = £280,000
annual profit = income - costs = £356,000 - £280,000 = £76,000
percent of annual profit = 3% × £76,000 = 0.03 × £76,000 = £2,280
£250 bonus = 2 × £250 = £500
total pay = monthly salary + percent of annual profit + £250 bonus
total pay = £22,200 + £2,280 + £500
total pay = £24,980
W=20.3
solve what's in the parenthesis, move the terms, calculate, then divide both sides.
