Answer:
The problem is stated as:
Min C = 15*(2*x +y) + 21*y
subject to x*y = 450
Step-by-step explanation:
Given that the region is rectangular, it has two opposite sides called x and two other opposite sides called y (both measured in feet). Then, the area (in square feet) is:
A = x*y = 450
One of the sides called y costs $21 per linear foot. The other 3 sides (two x and one y) costs $15 per linear foot. Then, the cost function is:
C = 15*(2*x +y) + 21*y
The frist years interest would be £75 , so after 1 year it'd be £2,575 , after 2 years the interest would be £77.25 giving a total of £2,652.25 and after the third final ear , the interest would be £79.57 , resulting in Tom having <span>£2,731.82 at the end of the 3 years</span>
Answer:
D. 5
Step-by-step explanation:
Applying,
cos∅ = adjacent/Hypotenuse
From the diagram,
Given: ∅ = 45°, adjacent = s, hyptenuse = 5√2
Therefore,
cos45° = s/5√2
make s the subject of the equation
s = cos45°×5√2
s = (1/√2)(5√2)
s = 5
Hence the right answer is D. 5
Answer:
-(9 x^2 + 15 x - 2)
Step-by-step explanation:
Simplify the following:
-(8 x^2 + 8 x + 8) - x^2 - 7 x + 10
Factor 8 out of 8 x^2 + 8 x + 8:
-x^2 - 7 x + 10 - 8 (x^2 + x + 1)
-8 (x^2 + x + 1) = -8 x^2 - 8 x - 8:
-8 x^2 - 8 x - 8 - x^2 - 7 x + 10
Grouping like terms, -x^2 - 8 x^2 - 7 x - 8 x - 8 + 10 = (-x^2 - 8 x^2) + (-7 x - 8 x) + (10 - 8):
(-x^2 - 8 x^2) + (-7 x - 8 x) + (10 - 8)
-x^2 - 8 x^2 = -9 x^2:
-9 x^2 + (-7 x - 8 x) + (10 - 8)
-7 x - 8 x = -15 x:
-9 x^2 + -15 x + (10 - 8)
10 - 8 = 2:
-9 x^2 - 15 x + 2
Factor -1 out of -9 x^2 - 15 x + 2:
Answer: -(9 x^2 + 15 x - 2)