$4.7 × 915 = 4300.5
$4300.5 + 79.15 = 4379.65
15% of 4379.65 = 656.9475
4379.65 + 656.9745 = 5036.6245
Mrs. Jones' Bill was $5036.63
(Rounded to the nearest 1/10)
It looks like the differential equation is

Check for exactness:

As is, the DE is not exact, so let's try to find an integrating factor <em>µ(x, y)</em> such that

*is* exact. If this modified DE is exact, then

We have

Notice that if we let <em>µ(x, y)</em> = <em>µ(x)</em> be independent of <em>y</em>, then <em>∂µ/∂y</em> = 0 and we can solve for <em>µ</em> :

The modified DE,

is now exact:

So we look for a solution of the form <em>F(x, y)</em> = <em>C</em>. This solution is such that

Integrate both sides of the first condition with respect to <em>x</em> :

Differentiate both sides of this with respect to <em>y</em> :

Then the general solution to the DE is

Answer:
a) 48 b) 132 c) 180 d) 228 e) 312
Step-by-step explanation:
Answer:
x = -3/5
Step-by-step explanation:
y = 10x + 6
0 (- 6) = 10x + 6 (- 6)
-6/10 = 10x/10
-6/10 = x
-3/5 = x
Answer:
LM = 18
Step-by-step explanation:
BC = 4
CD is twice that, so CD is 8
Now, remembering that the area of ABCD = 32 and JKLM = 72, divide 72 by 32.
You get 2.25. This is how much bigger JKLM is than ABCD.
Using that, multiply the length of CD (which is 8) by 2.25 to get the length of LM.
You'll get 18.
Hope this helps!