All categories

3 years ago

A. the series is absolutely convergent.

1 answer:

7 0

$\displaystyle\sum_{n=1}^\infty\left(1+\frac5n\right)^n$

Notice that

$\displaystyle\lim_{n\to\infty}\left(1+\frac5n\right)^n=e^5\neq0$

which means the series is divergent. So if this is one of those "select all that apply" questions, then both (c) and (j) are the only choices that do.

You might be interested in

PLEASE HELP!!! Maria is saving money so she can go to a professional football game. Maria has $25. She saves $5 a week. Graph a

Kruka [31]

Equation would be: Y = 25 + 5x
Where, x = number of weeks
So, when x = 1, Y = 25 + 5(1) = 25+5 = 30
When x = 2, Y = 25 + 5(2) = 25 + 10 = 35
x = 3, Y = 25 + 5(3) = 25 + 15 = 40

So, Mark the coordinates: (0, 25), (1, 30), (2, 35), (3, 40), (4, 45), (5, 50)...
And draw a line...Graph is done!

Hope this helps!

6 0

3 years ago

Use linear approximation to approximate √25.3 as follows.

Sophie [7]

The idea is to use the tangent line to $f(x)=\sqrt x$ at $x=25$ in order to approximate $f(25.3)=\sqrt{25.3}$ .

We have

$f(x)=\sqrt x\implies f(25)=\sqrt{25}=5$

$f'(x)=\dfrac1{2\sqrt x}\implies f'(25)=\dfrac1{10}$

so the linear approximation to $f(x)$ is

$L(x)=f(5)+f'(5)(x-5)=5+\dfrac{x-5}{10}=\dfrac x{10}+\dfrac92$

Hence $m=\frac1{10}$ and $b=\frac92$ .

Then

$f(25.3)\approx L(25.3)=\dfrac{25.3}{10}+\dfrac92=\boxed{7.03}$

4 0

3 years ago

A shop buys pairs of trainers for £20 each. They sell them to make a 30% profit on each pair. What is the selling price of the t

Alexxx [7]

Answer:

60 dollars i think

Step-by-step explanation:

3 0

3 years ago

Find the radius of a circle having area 616cm square.

OLEGan [10]

Answer:

$\boxed{\sf Radius \ of \ circle = 14 \ cm}$

Given:

Area of circle = 616 cm²

To Find:

Radius of circle

Step-by-step explanation:

$\sf \implies Area \ of \ circle = \pi r^{2} \\ \\ \sf \implies 616 = \frac{22}{7} \times {r}^{2} \\ \\ \sf \implies 616 \times \frac{7}{22} = {r}^{2} \\ \\ \sf \implies 28 \times \cancel{22} \times \frac{7} { \cancel{22}} = {r}^{2} \\ \\ \sf \implies 28 \times 7 = {r}^{2} \\ \\ \sf \implies 196 = {r}^{2} \\ \\ \sf \implies {r}^{2} = 196 \\ \\ \sf \implies r = \sqrt{196} \\ \\ \sf \implies r = \sqrt{ {14}^{2} } \\ \\ \sf \implies r = 14 \: cm$

4 0

3 years ago

Cheryl's gross pay for her pay period was $2,875. Thirty percent of her gross pay was withheld for taxes, and 12% was taken out

Zarrin [17]

Based on the calculation below, Cheryl's net pay is $1,667.50.

<h3>How do we calculate net pay?</h3>

Cheryl's net pay can be calculated using the following formula:

Net pay = Gross pay * (100% - 30% - 12%) ......................... (1)

Substituting for gross pay in equation (1), we have:

Net pay = $2,875 * (100% - 30% - 12%)

Net pay = $2,875 * 58%

Net pay = $1,667.50

Learn more about net pay here: brainly.com/question/14690804.

#SPJ1

4 0

2 years ago

Read 2 more answers