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1 year ago

Abby can buy individual songs for $1.00 to download, or she can

Mathematics

1 answer:

Taya2010 [7]1 year ago

3 0

The solution to the inequalities x + 8y ≤ 50, x ≤ 30, y > 2 is the darker region shown on the graph.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the number of individual songs and y represent the number of albums, hence:

x + 8y ≤ 50 (1)

x ≤ 30 (2)

y > 2 (3)

The solution to the inequalities x + 8y ≤ 50, x ≤ 30, y > 2 is the darker region shown on the graph.

Find out more on equation at: brainly.com/question/2972832

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Christine has $875.83 In her savings account the account pays 9% compounded monthly. Christine does not make any deposits or wit

Karolina [17]

Answer: the account earns interest of $40.16

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 875.83

r = 9% = 9/100 = 0.09

n = 12 because it was compounded 12 times in a year.

t = 6 months = 6/12 = 0.5 year

Therefore,.

A = 875.83(1+0.09/12)^0.5 × 12

A = 875.83(1+0.0075)^6

A = 875.83(1.0075)^6

A = 915.99

The interest that she earns is

915.99 - 875.83 = $40.16

7 0

2 years ago

How would the sum of cubes formula be used to factor x3y3+343? Explain the process. Do not write the factorization.

Zepler [3.9K]

x^3y^3 + 343

The way the sum of cubes works is by taking the roots of each term and applying the formula.

The sum of cubes is as follows:

a^3 + b^3 = (a + b)(a^2 - ab + b^2)

In this case, we would display it like this:

x^3y^3 + 343 = (xy + 7)(x^2y^2 - 7xy + 49)

7 0

3 years ago

Read 2 more answers

Identify the slope and y-intercept of each of the following lines. Then graph each line.

viktelen [127]

First <u>rewrite the equation</u> in slope intercept form

slope intercept form: y = mx + b [ where m is slope and b is y-intercept ]

$\rightarrow \sf 8y = -2x+32$

$\rightarrow \sf y =\dfrac{ -2x+32}{ 8}$

$\rightarrow \sf y =\dfrac{ -2x}{ 8} + \dfrac{32}{8}$

$\rightarrow \sf y =\dfrac{ -1}{ 4}x + 4$

<u>comparing</u> with y = mx + b

slope: -1/4 and y-intercept: 4

x-intercept: ( then y will be 0 )

$\hookrightarrow \sf -2x + 32 = 0$

$\hookrightarrow \sf -2x = -32$

$\hookrightarrow \sf x = 16$

In order to graph the line

plot x = 16 on the x-axis coordinate: (16, 0)

plot y = 4 on the y-axis coordinate: (0, 4)

Then using a scale/ruler draw a straight line through this points.

Graph:

8 0

2 years ago

What is the 25th term of the following sequence?<br> 17, 24, 31, 38.......

WITCHER [35]

Answer:185

Step-by-step explanation:

If you subtract 31 from 38 you get seven and the pattern continues the entire way through. If you do 17 + 7 x 3 =38. So assuming 17 is the first number you do 17 + 7 x 24

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3 years ago

PLEASE HELP! WILL GIVE 20 POINTS! 2. The Children’s Hospital sponsors a 10 K rac e to raise money. It receives $7 5 per race ent

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You need 1800 participants to raise at least $100,000

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2 years ago