The result follows directly from properties of modular arithmetic:

That is,

means we can write
for some integer
. Then

and taken mod 12, the first term goes away, so

etc
So according to the question statements
6% of the $40k and 7$ of the second $40k and 9% ammount of the $80k
the answer would be
40000 * 0.06
+ 40000 * 0.07
+ 25000 * 0.09
= 270250
Answer:
a.
perimeter of rectangular = 2 times length + 2 times wide = 2L + 2W = 2 (L + W)
since L is x m and W is y meter, then
perimeter = 2 (L + W) = 2 (x + y)
p = 2(x + y)
<em>(the correct is actually this one</em>
<em>70 ≤ 2(x+y) ≤ 96</em>
b. minimum perimeter
to find minimum perimeter, use the minimum length (which is 20) and minimum wide (which is 15)
p(min) = 2 * ( x(min) + y(min))
p(min) = 2 * (20 + 15)
p(min) = 2 * (35) = 70
c. maximum perimeter
to find maximum perimeter, use the maximum length (which is 30) and maximum wide (which is 18)
p(miax) = 2 * ( x(max) + y(max))
p(max) = 2 * (30 + 18)
p(max) = 2 * (48) = 96 m
Answer:
4
Step-by-step explanation:
a=3
b=1
c=-1
(b + c) - (c-a)
(1+(-1))-((-1)-(3))
Note
+*-= -
+*+=+
-*-=+
So
(1-1)-(-1-3)
0-(-4)
4
Answer: 46 and -14
Step-by-step explanation:
Set one of the numbers as x and the other as y.

Add the two equations together (which removes the y variable because y - y = 0).

Plug that back in.
46 - y = 60
y = -14
Check for the other equation.
46 - 14 = 32
This is correct.