What is the slope of the equation y - 3 = -4(x - 5)? O-4 O-3 O 20 O 23
1 answer:
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The equation which represent total amount of income he earns from selling book is,
Since, Selling price of one novel is n dollars
So, selling price of b books is,
Since, he receives 9% commission on each book sale.
So, total commission he receives on selling of b books is,
And also he received a bonus of $50,000 to sign the contract to write the book,
So, total amount of income he earns is represented by A,
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Answer:
Therefore the dimension of the rectangular piece of land is 375 m by 250 m.
Step-by-step explanation:
Given that,
Two opposite sides of rectangular land will be fenced using standard fencing that costs $6 per m while the other two side will require heavy duty fencing that costs $9 per m.
Let the length and width of the rectangular x and y respectively.
Then total cost for fencing =
=$(12x+18y)
Then,
12x+18y= 9,000
⇒ 2x+3y=1,500 [ cancel out common factor 6]
⇒3y= 1500 - 2x
....(1)
The area of the rectangular land is = Length × width
= xy
Let,
A=xy
Putting the value of y
Differentiating with respect to x
Again differentiating with respect to x
Now we have to determine the critical value of A.
For critical value set A'=0
⇒1500-4x=0
m
Since, . at x=375 m the area of the rectangular piece of land is maximum.
From equation (1) we get when x=375
⇒y=250 m
Therefore the dimension of the rectangular piece of land is 375 m by 250 m.