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4 years ago

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Brian bought 4 CDs that were each the same price. Including sales tax, he paid a total of $60.80 . Of that total, $3.60 was tax.

What was the price of each CD before tax?

1 answer:

Yuliya22 [10]4 years ago

3 0

Answer:

14.30

Step-by-step explanation:

$60.80 - $3.60 = 57.20/4 = 14.30

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The question is in the image below.

sineoko [7]

Answer:

The Recursive Formula for the sequence is:

$\:a_n=\frac{1}{5}\left(a_{n-1}\right)$ ; a₁ = 125

Hence, option D is correct.

Step-by-step explanation:

We know that a geometric sequence has a constant ratio 'r'.

The formula for the nth term of the geometric sequence is

$a_n=a_1\cdot r^{n-1}$

where

aₙ is the nth term of the sequence

a₁ is the first term of the sequence

r is the common ratio

We are given the explicit formula for the geometric sequence such as:

$a_n=125\left(\frac{1}{5}\right)^{n-1}$

comparing with the nth term of the sequence, we get

a₁ = 125

r = 1/5

Recursive Formula:

We already know that

a₁ = 125

r = 1/5

We know that each successive term in the geometric sequence is 'r' times the previous term where 'r' is the common ratio.

i.e.

$a_n=ra_{n-1}$

Thus, substituting r = 1/5

$\:a_n=\frac{1}{5}\left(a_{n-1}\right)$

and a₁ = 125.

Therefore, the Recursive Formula for the sequence is:

$\:a_n=\frac{1}{5}\left(a_{n-1}\right)$ ; a₁ = 125

Hence, option D is correct.

3 0

3 years ago

Hi please answer and you dont NEED to show work but if u do i will give brainliest

Advocard [28]

Answer:

$y=-\frac{2}{5} -1$

Step-by-step explanation:

So first thing is that slope intercept form is setup like this

y=mx+b

m=slope

b=y intercept

the slope is change in y over change in x

as y goes down 2 x goes up 5

so the slope is -2/5

the y intercept is at (0,-1) so the y intercept is -1

therefore the answer is

$y=-\frac{2}{5} -1$

have a great day :)

8 0

3 years ago

Read 2 more answers

A theatre ticket costs £37 plus a booking fee of 4%.<br>What is the total price of the ticket?

Studentka2010 [4]

Answer:

£38.48

Step-by-step explanation:

First, we have to find what 4% of 37 is, so our equation is:

37 x 0.04 = 1.48

Then we have to add that 4% to the original cost:

1.48 + 37 = 38.48

So the total price of the theatre ticket is £38.48

6 0

3 years ago

Line Equation from Two Points

Verdich [7]

Hi!

We can use <u>point-slope form </u>to solve this.

$y-y_{1} =m(x -x_{1})$

$y_{1}$ <em> and </em> $x_{1}$ <em> will be from one of the points.</em>

<u>First, we have to find </u> $m$ <u>, the slope. We can use the slope equation to get this.</u>

$\frac{y_{1} -y_{2} }{x_{1} -x_{2} }$

<em>Plug in your points:</em>

$\frac{4-0}{8-(-8)} =\frac{4-0}{8+8} =\frac{4}{16} =\frac{1}{4}$

Your slope is $\frac{1}{4}$

<u><em>Now plug points and slope into point-slope equation. We will use (8, 4).</em></u>

$y-4=\frac{1}{4} (x-8)$

Now, if you want to get it into y = mx + b form, you have to solve for y:

$y-4=\frac{1}{4} (x-8)$

$y-4=\frac{1}{4} x-2$

$y=\frac{1}{4} +2$

Your equation is $y=\frac{1}{4} +2$

<u><em>For more information on how to get the equation of a line when given two points, see here:</em></u>

brainly.com/question/986503

7 0

2 years ago

How are you supposed to find the slope of a line?

MArishka [77]

You have to find two definite points on the graph, i'll use (1,4) and (2,6) as an example

The slope formula is (y2-y1)/(x2-x1)

This means you have to subtract the first y value from the second divide it by the first x value subtracted from the second

In my example you have to do (6-4)/(2-1) to get 2/1, or 2

Hope this helps!

7 0

3 years ago