Answer:
Step-by-step explanation:
Ok, so we start by setting the integral up. The integral we need to solve is:
so according to the instructions of the problem, we need to start by using some substitution. The substitution will be done as follows:
U=5+x
du=dx
x=U-5
so when substituting the integral will look like this:
now we can go ahead and integrate by parts, remember the integration by parts formula looks like this:
so we must define p, q, p' and q':
p=ln U
q'=U-5
and now we plug these into the formula:
Which simplifies to:
Which solves to:
so we can substitute U back, so we get:
and now we can simplify:
notice how all the constants were combined into one big constant C.
The answer would be a.figure a
500=350(1+0.04/12)^12x
Solve for x
500/350=(1+0.04/12)^12x
X=(Log(500/350)/log(1+0.04/12))/12
X=9 months
Answer:
See Explanation
Step-by-step explanation:
Slope Intercept Form: y = mx + b
(x, y) --> point on the line
m --> slope
b --> y-intercept
Point Slope Form: (y - y1) = m (x - x1)
(x1, y1) --> point on the line
m --> slope
Now that we know that information, we can substitute in what we know.
Slope Intercept Form: y = -1/2x + 3
Any equation will have to simplify to the equation above if it is an equation of the line.
A. 2y = 6 + x
y = 6/2 + x/2
y = 3 + 1/2x
<em>Not an equation.
</em>
B. x + 2y = 6
2y = 6 - x
y = 6/2 - x/2
y = 3 - 1/2x
y = -1/2x + 3
<em>Equation.
</em>
C. y = -1/2x + 3
<em>Equation.
</em>
D. (y - 2) = -1/2 (x - 2)
y - 2 = -1/2x + 1
y = -1/2x + 3
<em>Equation.
</em>
B, C, and D are all equations that represent the line.