Answer:
x= -1/3
y= -3 1/3
Step-by-step explanation:
Make both of them into y=Mx+b form
y=-x-3
y=(-x-7)/2
Substitute the x-3 in the first equation for the y in the second one.
x-3=(-x-7)/2
2x-6=-x-7
3x=-1
x=-1/3
Now that we have x, we can solve for y.
y=-x-3
y=-1/3-3
y=-3 1/3
Answer:
The speed of the boat in still water is 10 miles / hour
Step-by-step explanation:
The trip there, and the trip back are the same -- 30 miles
Let the rate of the boat = x
Let the rate of the water = y
30 = 2*(x + y)
30 = 6*(x - y)
Divide the top equation by 2
Divide the bottom equation by 6
15 = x + y
<u>5 = x - y </u> Add the equations together.
20 = 2x Divide by 2
20/2 = x
x = 10
Answer:
(0, 3) (0, -4) (-5, 4) (1, 1)
Answer:
A. choosing a sock from a drawer, putting it on, then picking another sock from the drawer
Answer:
f(t) = 101,234
Step-by-step explanation:
First, use FV formula to find the rate ;r given PV=101,234 and FV=104,271.02 and time= 1 year
104,271.02 = 101,234
Divide both sides by 101,234 to get;
104,271.02 / 101,234 = 1+r
1.03 = 1+r
1.03 -1 =r
therefore r= 0.03 or 3%
Next, to get the function of FV of estate after t years; f(t) ;
Plug in the 3% rate found above into the FV formula with PV being the current value of 101,234 and it becomes;
f(t) = 101,234
