Answer:
The maximum amount of money that should be spent on housing each month is $522.
The maximum amount of money that should be spent on transportation each month is $290.
The maximum amount of money that should be spent on food each month is $246.50.
The maximum amount of money that should be spent on entertainment each month is $116.
The answer should be J.15.
A) 5000 m²
b) A(x) = x(200 -2x)
c) 0 < x < 100
Step-by-step explanation:
b) The remaining fence, after the two sides of length x are fenced, is 200-2x. That is the length of the side parallel to the building. The product of the lengths parallel and perpendicular to the building is the area of the playground:
A(x) = x(200 -2x)
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a) A(50) = 50(200 -2·50) = 50·100 = 5000 . . . . m²
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c) The equation makes no sense if either length (x or 200-2x) is negative, so a reasonable domain is (0, 100). For x=0 or x=100, the playground area is zero, so we're not concerned with those cases, either. Those endpoints could be included in the domain if you like.
Okay, here we have this:
Considering the provided function, we are going to calculate the requested one-side limits, so we obtain the following:
Answer:
83.1219512195
Step-by-step explanation:
Hope this helps!