Answer:
$20,000
Step-by-step explanation:
You can quickly figure this by recognizing that the difference in commission must be the same as the base salary:
2.5%(car price) = $500
car price = $500/0.025 = $20,000
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If you prefer, you can get there with equations.
At Job 1, the pay is ...
y = 10%×(car price)
At Job 2, the pay is ...
y = 7.5%×(car price)
Setting the equal (the two opportunities pay the same), we have ...
0.10(car price) = 500 +0.075(car price)
0.025(car price) = 500 . . . . . . . . subtract 0.075(car price)
car price = 500/0.025 = 20,000 . . . . divide by 0.025
Jim would have to sell a $20,000 car each week for the jobs to pay the same.
Answer:
1968
Step-by-step explanation:
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Answer: The vertex of the parabola (quadratic function) is (-2,-4)
Fourth option: (-2,-4)
Solution:
y=x^2+4x
y=ax^2+bx+c; a=1, b=4, c=0
Vertex: V=(h,k)
h=-b/(2a)
h=-4/(2(1))
h=-4/2
h=-2
y=x^2+4x
k=y=h^2+4h
k=(-2)^2+4(-2)
k=4-8
k=-4
Vertex: V=(h,k)
Vertex: V=( -2, -4)
Sin(x) = base / hypotenuse
sin(x) = 7/9
x = arcsin(7/9)
x = 51 degrees
1) the form of the equation may be written as y = A(X - Xo)(X - X1)
Where Xo and X1 are the two roots of the equation.
2) We can fix the system of coordinates so that the vertex is in the middle of the gate => Xo = - 40 and X1 = +40
=> y = A (X + 40) (X - 40) = A (X^2 - 1600)
3) The height, at X = 0 is 25
=> A(0 - 1600) = 25
=> -1600A = 25 => A = -25 / 1600 = - 1/64
4) The equation is y = - [1/64] (X^2 - 1600)
5) You can present it in different equivalent forms.
Some of those other forms are:
1) - 64y = (x^2 - 1600)
2) x^2 = - 64y + 1600
3) X^2 = - 64 (y - 25)
