Answer:
It compares two numbers that can represent many of things. For example, people, food & items.
Step-by-step explanation:
I:2x – y + z = 7
II:x + 2y – 5z = -1
III:x – y = 6
you can first use III and substitute x or y to eliminate it in I and II (in this case x):
III: x=6+y
-> substitute x in I and II:
I': 2*(6+y)-y+z=7
12+2y-y+z=7
y+z=-5
II':(6+y)+2y-5z=-1
3y+6-5z=-1
3y-5z=-7
then you can subtract II' from 3*I' to eliminate y:
3*I'=3y+3z=-15
3*I'-II':
3y+3z-(3y-5z)=-15-(-7)
8z=-8
z=-1
insert z in II' to calculate y:
3y-5z=-7
3y+5=-7
3y=-12
y=-4
insert y into III to calculate x:
x-(-4)=6
x+4=6
x=2
so the solution is
x=2
y=-4
z=-1
If during a given month your average daily credit card balance is $800 and your yearly interest rate is 17%, then the interest you owe on your credit card for that month would be: $11.33
First we need to know both the formula of A and B.
The formula of A is
C = 5 + 0.25p
with C representing total cost and p representing the amount of checks.
The formula of B is
C = 6 + 0.15p
with C representing total cost and p representing the amount of checks.
To find the point where A and B cost the same, we solve the following equation:
5 + 0.25p = 6 + 0.15p
Collecting terms gives us
-1 = -0.1p
Now we have to divide by -0.1 and we get.
10 = p
p = 10
So our answer: after 10 checks both accounts cost the same amount of money. Answer A.
The 31st term of this sequence is 189.
9, 15, 21, 27, 33 (5), 39, 45, 51, 57, 63 (10), 69, 75, 81, 87, 93 (15), 99, 105, 111, 117, 123 (20), 129, 135, 141, 147, 153 (25), 159, 165, 171, 177, 183 (30), 189.
