Evaluate the integral: \[\int\limits_{}^{}ye ^{0.2y}dy\]
The problem we are having is the antiderivative of
\[e ^{0.2y}.\] We decided to split the problem into:
u = y
\[uv = e^{0.2y}\]
We just aren't sure where to go from here. Help?

Answers

Answer 1
Answer: \int\limits_{}^{}ye ^(0.2y)dy\n\nu=y,du=dy\ndv=e ^{(y)/(5)}dy,v=\int\limits_{}^{}e ^{ (y)/(5) }dy=5e ^{ (y)/(5) }\n\n \int\limits_{}^{}ye ^{(y)/(5) }}dy=uv- \int\limits {v} \, du=y 5e ^{ (y)/(5) }-\int\limits {5e ^{ (y)/(5) }} \, dy= 5ye ^{ (y)/(5) }-25e ^{ (y)/(5) }=5e ^{ (y)/(5) }(y-5)

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Carnie had an income of $29,520 last year. If the inflation rate is eight percent, what is her current purchasing power? Round to the nearest dollar.

Answers

Last year purchasing power assuming no inflation = $29,520
Current purchasing power = $29,520 - 8% = $29,520 x (1 - 0.08) = $29,520 x 0.92 = $27,158.40
Therefore current purchasing power is $27,158 to the nearest dollar.

Her current purchasing power round to the nearest dollar is $27158

Percent inflation rate

Inflation is an increase in the purchasing power of an individual. Given the following parameters

Carnie's income last year = $29,520

If the inflation rate is eight percent, then her current purchasing power is expressed as:

Current purchasing power = 0.92 * $29,520

Current purchasing power = $27158.4

Her current purchasing power round to the nearest dollar is $27158

Learn more on inflation rate here: brainly.com/question/1100560

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Describe the sign of the quotient of two integers when: Both integers are positive. Positive Negative

Answers

The sign of the quotient of two integers depends on the signs of the integers being divided.

Both integers are positive: When both integers are positive, the quotient will also be positive. This is because dividing positive numbers will always result in a positive value.

For example, if we divide 8 by 2, the quotient is 4

Positive divided by negative: When a positive integer is divided by a negative integer, the quotient will be negative. This is because dividing a positive number by a negative number results in a negative value.

For example, if we divide 10 by -2, the quotient is -5

In summary, the sign of the quotient of two integers depends on the signs of the integers being divided. If both integers are positive, the quotient will be positive. If a positive integer is divided by a negative integer, the quotient will be negative.

Use the given information to write the equation of the line.
slope 2, y-intercept - 4

Answers

Answer : y = 2x - 4

Hope this helps (:

Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of the system is 3y = 2x – 9. Which could be the other equation?2y = x – 4.5
y = x – 3
6y = 6x – 27
y = x – 4.5

Answers

Answer: B

Step-by-step explanation: If you divide the 3 Y to get Y by itself, you will divide 3 on both sides. So 2X/3=2X/3 and -9/3=-3

So it will be Y=2X/3-3

Simplify a - {5b - [a - (3b - 2c) + c - (a - 2b -c. ]}.
-a - 6b + 4c
a - 6b + 4c
a - 10b + 4c
-a + 10b + 4c

Answers

♥B)a - 6b + 4c

♥First you need to d
istribute the Negative Sign.

=a+−1(5b(a−(3b2c)+c(a−2b−c)))

=a+−1(5b)+−1(−a)+−1(3b)+−1(2c)+−1(−c)+−1a+−1(2b)+−1(−c)

=a+5b+a+3b+2c+c+−a+2b+c

♥Now you need to 
Combine Like Terms:

=a+5b+a+3b+2c+c+−a+2b+c

=(a+a+−a)+(5b+3b+2b)+(2c+c+c)

=a+6b+4c

♥and you get your final answer: 
a−6b+4c

Answer: B

Step-by-step explanation:

The function g(x) = –3x2 – 36x – 60 written in vertex form is g(x) = –3(x + 6)2 + 48. Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = –3x2 – 36x – 60? The graph of f(x) = x2 is made narrower. The graph of f(x) = x2 is shifted right 6 units. The graph of f(x) = x2 is shifted down 48 units. The graph of f(x) = x2 is reflected over the y-axis.

Answers

The general vertex form is this:
v(x) = a (x-h)2 + k
where (h,k) is the coordinates of the of vertex.
and a indicates the widening or shrinking of the function compared to another parabolic function. If a become bigger, the graph becomes narrower. If a becomes negative, the graph is reflected over the x-axis.

Comparing f(x) = x2 with g(x) = -3(x+6)2 + 48, we have the following transformations:
The graph is reflected over the x-axis
The graph is made narrower.
The graph is shifted 6 units to the left.
The graph is shifted 48 units up.

From the choices we only have:
The graph of f(x) = x2 is made narrower

A. The graph of f(x) = x2 is made narrower.

I took the test and that was the answer i got.