After you've calculated a least common multiple, always check to be sure your answer can be divided evenly by both numbers. Find the LCM of these sets of numbers. Multiply each factor the greatest number of times it occurs in any of the numbers. 9 has two 3's, and 21 has one 7, so we multiply 3 two times, and 7 once.
So, this is kinda similar to the other I helped you with:
<span>So r is the radius of the disk. The area is known and equal to 100Pi; so
100Pi = Pi r2
Now for r: r = 10
Circumference = 2 PI r = 20 Pi
I hope this helped!</span>
<h3><u>The first number, x, is equal to 7.</u></h3><h3><u>The second number, y, is equal to 2.</u></h3>
x + 2y = 11
2x + y = 16
We can subtract 2y from both sides of the first equation to get a value for x.
x = 11 - 2y
Because we have a value for x, we can plug it into the second equation.
2(11 - 2y) + y = 16
Distributive property.
22 - 4y + y = 16
Combine like terms.
22 - 3y = 16
Subtract 22 from both sides.
-3y = -6
Divide both sides by -3.
y = 2
Now that we have a value for y, we can plug it into either equation to solve for x.
x + 2(2) = 11
x + 4 = 11
Subtract 4 from both sides.
x = 7
If it cost $200 per month and you are makeing $900 per month you are making money off the machine.
The interest due on the first payment is
.. I = Prt
.. I = 110,000*.055*(1/12)
.. I = 504.17
Then the decrease in principal resulting from the first payment is
.. 568.00 -504.17 = 63.83
and the new balance is
.. $110,000.00 -63.83 = $109,936.17
