Answer:
845.6306
Step-by-step explanation:
Firstly this is annuity based
Let, investment at beginning of year = <em>x</em>
Then value at year 1 end = x + (8.2%
x)
Value at end of year 2 = (x + 0.082x) + (8.2%
(x + 0.082x))
Now this value = $990
Therefore,
990 = (x + 0.082x) + ((x + 0.082x)
8.2%)
990 = x + 0.082x + 0.082x + 0.006724x = 1.170724x
x = 990/1.170724 = 845.6306
Answer:
This has one real solution, x=4
Step-by-step explanation:
8 - 4x = 0
Add 4x to each side
8 - 4x+4x = 0+4x
8 =4x
Divide each side by 4
8/4 = 4x/4
2 =x
This has one real solution, x=4
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:
130
Step-by-step explanation:
2(4x - 3) + 6(3y - 5)
2(4 × 5 - 3) + 6(3 × 7 - 5)
2(20 - 3) + 6(21 - 5)
2(17) + 6(16)
34 + 96
130
Answer:
(1,-1)
Step-by-step explanation:
The graph is being shifted 6 units to the right which affects the x-value and it is also being affected 2 units down which affects the y-value.