($40768/y)(y/52w)=$784/week
Seven hundred and eighty-four dollars per week.
The answer is C
it's easier if you graph it
we know that the x of the unknown vertice is 4, because this is a rectangle and that vertices has to be on the same x line as the point below.
y of the unknown vertice has to be 1 because the vertice to the left needs to be on the same y line as the unknown vertice
Answer:

Step-by-step explanation:
The formula of simple interest is:

Where I is the interest earned after t years
r is the interest rate
is the initial amount
We know that the investment was $20,000 in two accounts
_______________________________________________
<u><em>For the first account</em></u> r = 0.07 per year.
Then the formula is:

Where
is the initial amount in account 1 at a rate
during t = 1 year

<u><em>For the second account </em></u>r = 0.05 per year.
Then the formula is:

Where
is the initial amount in account 2 at a rate
during t = 1 year
Then

We know that the final profit was I $1,280.
So

Substituting the values
,
and I we have:

As the total amount that was invested was $20,000 then

Then we multiply the second equation by -0.07 and add it to the first equation:


Then 
Answer:
Step-by-step explanation:
Use the formula of distance between the two points
and
,
Distance = 
1. Distance between A(3, 4) and B(8, 12),
AB = 
AB = 
= 
≈ 9.43
2. Distance between C(-2, 10) and D(3, -2),
CD = 
= 
= 
= 13.00
3. Distance between X(20, 4) and Y(17, 0),
XY = 
= 
= 
= 5.00
4. Distance between E(2, -1) and M(6, 9),
EM = 
= 
= 
= 10.77
Answer: y = (-4/9)x2 + (16/9)x + (47/9)
Step-by-step explanation:
f(x) = a(x - h)2 + k, where the vertex is (h,k) = (2,7) while passing through the point (x,y) = (-1,3). We must plug everything in to solve for a first. Then,
3 = a(-1 - 2)2 + 7
3 = a(-3)2 + 7................Subtract 7 to both sides such that
-4 = 9a...............Then divide 9 such that
a = (-4/9)
Now we plug a into the equation with the vertex to create the parabolic function such that
y = (-4/9)(x - 2)2 + 7 ..............Then FOIL the (x-2)2 such that
y = (-4/9)(x2 - 4x + 4) + 7..............Then distribute the (-4/9) inside such that
y = (-4/9)x2 + (16/9)x - (16/9) + 7.............Then (-16/9) + 7 = (-16/9) + (63/9) = 47/9
so, y = (-4/9)x2 + (16/9)x + (47/9)