How much simple interest is earned on an investment of 1,250 if the money is invested for 5 years at an annual interest rate of
1 answer:
You might be interested in
Answer:
y = 2 x - 8
Step-by-step explanation:
The image below shows proof that the points (4,0) and (7,6) lie on the equation y = 2 x - 8
Hope this helps! :)
Answer:
- f has a maximum in ( (2,0) , 4) and ( (-2,0) , 4)
- f has a minimum in ( (0,2) , -4 ) and ((0,-2) , -4)
Step-by-step explanation:
f(x,y) = x²-y² and the restriction is
g(x,y) = 4
with g(x,y) = x²+y²
an extreme (x0,y0) of f following that restriction must satisfy
For ceratin constant λ
Now
Thus, they are equal in the first coordinate, so in order for them to be proportional one of the following must happen:
- The second coordinates are equal (this happens only if y=0, because otherwise 2y is not equal to -2y)
- The first coordinate is 0
So, the critical points have the form (x0,0) and (0,y0), also since they have to fulfill the restriction, we have
x0² + 0² = 4, then x0 = 2 or -2
same with (0,y0)
0²+y0² = 4, then y0 must be 2 or -2
Then the critical points are (2,0), (-2,0), (0,2), (0,-2).
In order to find the extremes now we just have to evaluate in each candidate we have and compare the results
f(2,0) = 2² = 4
f(-2,0) = (-2)² = 4
f(0,2) = 0-2² = -4
f(0,-2) = 0-(-2)² = -4
Thus
- f has a maximum in ( (2,0) , 4) and ( (-2,0) , 4)
- f has a minimum in ( (0,2) , -4 ) and ((0,-2) , -4)