Answer:

Step-by-step explanation:
Given function: 
To find
, simply input
into the function:

Answer:
C
Step-by-step explanation:
you add c to both side which will then make it 7x=k+c then you would divide 7 from both sides leaving you with x=k+c/7. Except 7 will be under the k and c.
Answer:
The answer is below
Step-by-step explanation:
The standard form of the equation of an ellipse with major axis on the y axis is given as:

Where (h, k) is the center of the ellipse, (h, k ± a) is the major axis, (h ± b, k) is the minor axis, (h, k ± c) is the foci and c² = a² - b²
Since the minor axis is at (37,0) and (-37,0), hence k = 0, h = 0 and b = 37
Also, the foci is at (0,5) and (0, -5), therefore c = 5
Using c² = a² - b²:
5² = a² - 37²
a² = 37² + 5² = 1369 + 25
a² = 1394
Therefore the equation of the ellipse is:

Answer: C
Step-by-step explanation:
We know that
, and thus by the exterior angle theorem,

Thus, 
1000 + 50x = 500 + 75x
First move 500 by subtracting it from 1000.
500 + 50x = 75x
Now subtract 50x from 75x.
500 = 25x
Then divide 500 by 25.
20 = x
They would've saved the same amount($2,000) on the 20th week.