A farmer wants to enclose a rectangular field along a river on three sides. If 3,600 feet of fencing is to be used, what dimensions will maximize the enclosed area?

A) 900 ft (parallel to the river) by 900 ft
B) 900 ft (parallel to the river) by 1,800 ft
C) 1,800 ft (parallel to the river) by 900 ft
D) 1,800 ft (parallel to the river) by 1,800 ft


C) 1,800 ft (parallel to the river) by 900 ft

Mathematics

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Provide an appropriate response.The Parkers are borrowing $120,000 to buy a house. Their monthly payment amount is given by  where r is the monthly interest rate and n is the number of months. What is the Parker's monthly payment if they get:(a)a 30-year loan at 9% annual interest?(b)a 20-year loan at 10% annual interest?

What will be an ideal response?

Mathematics

Provide an appropriate response.A quadratic equation f(x) = 0 has a solution x = 3. Its graph has vertex (-1, -16). What is the other solution of the equation?

A. -4 B. -5 C. 7 D. -3

Mathematics

Find the horizontal and vertical asymptotes of the graph of the function. ? 

A. Vertical asymptote: Horizontal asymptote: 
B. Vertical asymptotes:  and Horizontal asymptote: 
C. Vertical asymptotes:  and Horizontal asymptote: 
D. Vertical asymptote: Horizontal asymptote: 

Mathematics

Provide an appropriate response.Determine the critical points of f(x, y) = x3 + y2 - 3xy - 4y + 2 and also determine by the second-derivative test whether each point corresponds to a relative maximum, to a relative minimum, to neither, or whether the test gives no information.

What will be an ideal response?

Mathematics