3.7321
Tan 75 degrees is the value of tangent trigonometric function for an angle equal to 75 degrees. The value of tan 75° is 2 + √3 or 3.7321 (approx).
Y = -4x + 8
First you need to find the slope of the line.
The slope formula is m = y2-y1/x2-x1
If you plugged in the points it would be m = -4-4/3-1
so m = -8/2 = -4
so the slope is -4
now we need to write the equation of the line
for this u use point slope form
the formula for that is y-y2=m(x-x1)
so if you plug it in it would be:
y-(-4)=-4(x-3)
now you solve
y+4=-4x+12
y+4-4= -4x+12-4
y = -4x + 8
and now you have the slope of the line
I hope this helps! :)
The interest at the end of the first month can be calculated given that the interest rate per month. Once, you get the interest rate per month, you multiply it to the price when you purchased the car.
Part A:
Consider from x = -5 to x = -4, they are 1 unit apart and the difference of their outputs is given by:
-3 - (-11) = -3 + 11 = 8.
Thus, the value of the output increases by 8 units for each one unit increase in the input.
Part B:
Consider from x = -3 to x = -1, they are 2 units apart and the difference of their outputs is given by:
21 - 5 = 16.
Thus, the value of the output increases by 16 units for each two units increase in the input.
Part C:
Consider from x = 0 to x = 3, they are 3 units apart and the difference of their outputs is given by:
53 - 29 = 24.
Thus, the value of the output increases by 24 units for each three units increase in the input.
Part D:
It can be noticed that the ratio difference in the outputs to the input intervals are equal for all the given input intervals.
i.e 8 / 1 = 16 / 2 = 24 / 3.
Divide 5.00 by 1.5 and you get (it's pretty long) 3.3333333333333333333333333333333
