Answer:
$400
Step-by-step explanation:
The formula for simple interest is i = p * r * t, where r is the annual interest rate as a decimal fraction, p is the principal and t is the time in years.
Here we want to determine what the principal was. Solving the above equation for p, we get:
i $64
p = --------- = -------------- = $400
r * t (0.08)(2)
5(x+4)=45
5x+20=45
5x=25
x=5
The equation

is plotted on graph below (red line)
Translating

three units to the left can be done by choosing any coordinates on

.
Let choose (0,0) and (2,1)
Translating 3 units on to the left gives the new coordinates (0-3, 0)=(-3,0) and (2-3, 1)=(-1, 1)
The gradient of the two functions will stay the same since the lines are parallel to each other, so m = 0.5
By joining the two coordinates (-3,0) and (-1,1), we see that the translated line crosses y-axis at 1.5
The equation of translated line is given


We know that
the equation of the parabola is of the form
y=ax²+bx+c
in this problem
y=−1/4x²<span>−x+3
where
a=-1/4
b=-1
c=3
</span><span> the coordinates of the focus are
</span>
(-b/2a,(1-D)/4a)
where
D is the discriminant b²-4ac
D=(-1)²-4*(-1/4)*3-----> D=1+3---> D=4
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> -2
y coordinate of the focus
(1-D)/4a------> (1-4)/(-4/4)---> 3
the coordinates of the focus are
(-2,3)
Answer:
21.75
Step-by-step explanation:
if you take 87 divided by 2/3, you get 130.5, which is the total amount of money he makes in 6 weeks. but if you take 130.5 divided by 6, you get 21.75 which is how much he makes weekly.