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3 years ago

How do you do percent of change

2 answers:

5 0

-- Find the amount of change.

   (new amount) - (old amount)

-- Divide it by the original amount.

-- Now you have the decimal amount of change.
   If you want the percentage, multiply the decimal by 100.
   (Move the decimal point 2 places that way ==>)

Whitepunk [10]3 years ago

4 0

Subtract the old from the new, then divide by the old value. Show that as a Percentage.

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X=2y-4 7x+5y=-66 solve by elimination

Alexxandr [17]

Answer:

{x,y}={-8,-2}

Step-by-step explanation:

[1] x = 2y - 4

Plug this in for variable x in equation [2]

[2] 7•(2y-4) + 5y = -66

[2] 19y = -38

Solve equation [2] for the variable y

[2] 19y = - 38

[2] y = - 2

By now we know this much :

x = 2y-4

y = -2

Use the y value to solve for x

x = 2(-2)-4 = -8

3 0

3 years ago

The explicit rule for the series 0, 1, 2, 3, ... is

Kobotan [32]

Answer:

Shyla's have not done any mistake.

Step-by-step explanation:

We have given that, The explicit rule for the series 0, 1, 2, 3, ... is given by $a_n = n - 1$ .

Shyla's attempt to find the fifth term in the sequence is shown below:

i.e. substitute n=5

$a_5 = 5 - 1=4$

Looking at the sequence, the 4th number would be 3.

According to explicit rule the fourth term is

$a_4 =4-1=3$

Which is correct.

Similarly all the terms will get in this way.

So, Shyla's have not done any mistake.

7 0

3 years ago

Read 2 more answers

Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) = x2/(x4 +

ella [17]

Answer:

Given the function: $f(x) =\frac{x^2}{x^4+16}$

A geometric series is of the form of :

$\sum_{n=0}^{\infty} ar^n$

Now, rewrite the given function in the form of $\frac{a}{1-r}$ so that we can express the representation as a geometric series.

$\frac{x^2}{x^4+16}$

Now, divide numerator and denominator by $x^4$ we get;

$\frac{\frac{1}{x^2}}{1+\frac{16}{x^4}}$ = $\frac{\frac{1}{x^2}}{1+(\frac{4}{x^2})^2}$

Therefore, we now depend on the geometric series which is;

$\frac{1}{1+x} =\sum_{n=0}^{\infty} (-1)^n x^n$

let $x \rightarrow x^2$ then,

$\frac{1}{1+x^2} =\sum_{n=0}^{\infty} (-1)^n x^{2n}$

to get the power series let $x \rightarrow \frac{4}{x^2}$

so,

$\frac{1}{1+(\frac{4}{x^2})^2} =\sum_{n=0}^{\infty} (-1)^n (\frac{4}{x^2})^{2n}$

Multiply both side by $\frac{1}{x^2}$ we get;

$\frac{\frac{1}{x^2}}{1+(\frac{4}{x^2})^2} =\frac{1}{x^2} \cdot \sum_{n=0}^{\infty} (-1)^n (\frac{4}{x^2})^{2n}$

$\frac{\frac{1}{x^2}}{1+(\frac{4}{x^2})^2} =x^{-2} \cdot \sum_{n=0}^{\infty} (-1)^n (16)^n (x^{-2})^{2n}$

$\frac{\frac{1}{x^2}}{1+(\frac{4}{x^2})^2} =\sum_{n=0}^{\infty} (-1)^n (16)^n x^{-4n} \cdot x^{-2}$

Using $x^n \cdot x^m = x^{n+m}$

we have,

$\frac{\frac{1}{x^2}}{1+(\frac{4}{x^2})^2} =\sum_{n=0}^{\infty} (-1)^n (16)^n x^{-4n-2}$

therefore, the power series representation centered at x =0 for the given function is: $\sum_{n=0}^{\infty} (-1)^n (16)^n x^{-4n-2}$

6 0

3 years ago

Megan has 30 brownies and 42 cupcakes to package. She wants to put the same numbers of brownies and cupcakes in each box. What i

valkas [14]

The answer would be 6

7 0

3 years ago

Please help I really don't get this I will give you 131 points that are all of them HELP ME SOON

zlopas [31]

The answer is 120 seconds.

Why?
180 divided by 4.5 is 40 seconds
200 divided by 2.5 is 80 seconds
Then add the seconds.
But I don’t understand how you walk so many meters in 180 seconds

4 0

3 years ago