Answer:
x>1
Step-by-step explanation:
m at h w ay
<u>Answer-</u>
<em>The least squares regression equation using the school year (in number of years after 2000) for the input variable and the average cost (in thousands of dollars) for the output variable is "y=0.937x+12.765" .</em>
<u>Solution-</u>
The independent variable / input variable= x = Number of years after 2000 ( = year-2000)
The dependent variable / output variable = y = Average cost in thousands of dollars
(The table has been attached herewith.)
To find the regression equation for a group of (x,y) points,
We have to calculate the slope and y-intercept, then we can put those values in the equation y = mx + c ( Slope - Intercept formula)
We know that,

Putting the values from the table,

( ∵ Instead of 150,894 we have to put 150.894 as we have find the line for year and thousands of dollars )

Now, for the y-intercept,

Putting the values,

Now, putting the values of c and m, in the Slope-Intercept formula,

maple syrup = x
corn syrup = 50-x
6x + 0.8(50-x)=2.36*50
6x+40-0.8x=118
5,2x=78
x= 15 gallons of maple syrup
50-15 = 35 gallons of corn syrup
Answer:
r = 0.046212737
Step-by-step explanation:
A = 14,400 (what your investment originally is)
P = 7,200 (what you want your investment to be)
n = 365 (interest is compounded daily)
t = 15 (15 years)
Plug all of these numbers into the equation, then solve for r
14,400 = 7,200(1 + r/365)^365 · 15
Divide 7,200 on both sides --> 2 = (1 + r/365)^365 · 15
365 · 15 = 5475 --> 2 = (1 + r/365)^5475
5475√(2) = 1 + r/365 (root 5475 both sides to cancel out the exponent)
(5475√(2)) - 1 = r/365 (subtract one from both sides)
((5475√(2)) - 1) · 365 = r (multiply both sides by 365 to isolate r)
Type the left side into the calculator to get r --> 0.046212737.
Hope this helps!
The answer: d. < 1 and < 8