Answer:
x = 59.4 ft
y = 84.18ft
Step-by-step explanation:
The cost of exterior walls is $150 per linear foot.
The cost of interior walls is $100 per linear foot.
xy = 5000
y = 5000/x
For the exterior walls, we have 2(x+y)(120)
For the interior wall, we have 100x
The cost function = C
C = 2(x+y)(120) + 100x
C= 240(x+y) + 100x
= 240x + 240y + 100x
= 340x + 240y
Recall that y = 5000/x
C = 340x + 240(5000/x)
C = 340x + 1200000/x
Differentiate C with respect to x
C'(x) = 340 - 1200000/x^2
= (340x^2 -1200000) / x^2
To minimize cost C'(x) = 0
(340x^2 -1200000) / x^2 = 0
340x^2 -1200000 = 0
340x^2 = 1200000
x^2 = 1200000/340
x = √1200000/340
x = 59.4 ft
Recall that y = 5000/x
y = 5000/59.4
y = 84.18 ft
Answer:

Step-by-step explanation:
The slope-intercept form of an equation of a line:

m - slope
b - y-intercept
We have the equation of a line in the standard form:

Convert to the slope-intercept form:
<em>subtract 12x from both sides</em>
<em>divide both sides by (-4)</em>

$15 interest to 2 years simplified would be $7.50 interest per year. $7.50 multiplied by 10 years would be $75 interest.
Answer:
p = $15d - (7,000 + 0.84d)
Step-by-step explanation:
In this question, we are asked to given an equation that will represent the profit Dion makes when he has made a total of d deliveries.
We proceed as follows:
To calculate the profit, we need to subtract the cost price from the selling price.
Let’s start with the cost price. This refers to the total amount of money that is used to prepare the goods for sales and also spent on that cause. He charges $0.42 for gasoline per trip. This means it is a total of $0.84 for each delivery. This is because two trips will make a delivery. Total number of money spent on gasoline on deliveries is thus 0.84 * d = 0.84d. Now, we add the cost of Motorcycle he rides to be $7,000. The total money spent is thus $7000 + $0.84d
His selling price is simply the number of deliveries he has made multiplied by the amount of money he charges per trip. This is same as 15 * d= $15d
Profit is thus ; p = $15d - (7,000 + 0.84d)
Answer:
let
hypotenuse[h]=60ft
base[b]=36ft
perpendicular [p]=48ft
by using Pythagoras law
p²+b²=h²
48²+36²=60²
2896≠3600
since p²+b²≠ h²[<u>so</u><u> </u><u>the</u><u> </u><u>stage</u><u> </u><u>is</u><u> </u><u>not</u><u> </u><u>in</u><u> </u><u>a</u><u> </u><u>right</u><u> </u><u>angled</u><u> </u><u>tria</u><u>ngle</u><u>]</u><u>but</u><u> </u><u>it</u><u> </u><u>is</u><u> </u><u>scalene</u><u> </u><u>triangle</u>