Step-by-step explanation:
3=-x+5
x=2
................
When you minus the 23.75 from 2000 you get 1976.25 and then divide that amount by 8 to get $247.03 per person.
The coordinates of the vertex are (3, -13) and the axis of symmetry is at x = 3.
We can find the vertex by using the formula for finding x-coordinates. The formula for the x-coordinate of a vertex is below.
-b/2a
In this equation, a is the coefficient of the x^2 term (1) and b is the coefficient of the x term (-6). Then we can plug in to find the x term.
-(-6)/2(1)
6/2
3
Now that we have this term, we can plug it in for all values of x to find the y term.
x^2 - 6x - 4
3^2 - 6(3) - 4
9 - 18 - 4
-13
Now we know that the vertex is at (3, -13). Now finding the axis of symmetry is easy because the axis of symmetry in any quadratic is simply x = [x-coordinate of vertex]. So in this case it would be x = 3.
Answer:
We conclude that the person is saving $60 dollars per week.
Hence, option C is true.
Step-by-step explanation:
Given the table chart
Week Saving Money
2 60
4 120
6 180
8 240
We know to determine the slope to find the rate of change.
Taking the points (2, 60) and (4, 120)
Rate of change = Slope = [y₂ - y₁] / [x₂ - x₁]
= [120 - 60] / [4 - 2]
= 60 / 2
= $30 dollars per week
Now, taking the points (4, 120) and (6, 180)
Rate of change = Slope = [180 - 120] / [6 - 4]
= [60] / [2]
= $30 dollars per week
Now, taking the points (6, 180) and (8, 240)
Rate of change = Slope = [240 - 180] / [8 - 6]
= [60] / [2]
= $30 dollars per week
- This concludes that the rate of change is contant i.e. $30 dollars per week
Therefore, we conclude that the person is saving $60 dollars per week.
Hence, option C is true.
Answer:
22,332
Step-by-step explanation:
Put 6 where t is in the equation and do the arithmetic.
... y = 5500 ln(9·6 +4) = 5500 ln(58) ≈ 22,332