Let x represent the side length of the base.
The area of the base and roof are each x^2, so their cost together will be
.. (8 +9)x^2 = 17x^2
The height of the shed will be 125/x^2, so the area of one side will be
.. (125/x^2)*x*8.50
and the area of all four sides will be
.. 4*125/x*8.50 = 4250/x
So, the total cost is the cost of top and bottom together with the cost of the sides:
.. cost = 17x^2 +4250/x
This is minimized when its derivative with respect to x is zero.
.. d(cost)/dx = 0 = 2*17x -4250/x^2
.. 4250/34 = x^3
.. x = ∛125 = 5
The most economical shed is a 5 ft cube.
Answer:
X + 3y
Step-by-step explanation:
X is the cost of renting bowling shoes
Y is the number of games played
7(x + 3 ) = 6 - (-7x - 15)
Apply the distributive rule to remove parentheses.
7x + 21 = 6 + 7x + 15
Right away, you should be able to see that 7x will be cancelled rendering this equation to have no solution.
Answer: NO SOLUTION
Answer:
a<5
Step-by-step explanation:
a/5<1
5*a/5<1*5
a<5
Answer:
Rs. 451.2
Step-by-step explanation:
It is given that a men's total taxable income is Rs. 14,280.
He is charged by the state tax for 2% on the first Rs. 3000.
i.e. 
= Rs. 60
Then he is asked to pay 3% on the second Rs. 3000
i.e. 
= Rs. 90
Similarly, he pays 3% on the third Rs. 3000
i.e.
= Rs. 90
Lastly, he pays 4% on the remaining amount. i.e 14,280 - (3000+3000+3000) = 14,280 - 9000 = Rs. 5280
∴
= Rs. 211.2
Thus the total amount of the income tax the man has to pay is
= 60+90+90+211.2
= Rs. 451.2
