Simone paid $12 for an initial year's subscription to a magazine. The renewal rate is $7 per year. This situation can be represented by the equation y = 7x + 12, where x represents the number of years the subscription is renewed and y represents the total cost, in dollars.

Answers

Answer 1

Answer:

Step-by-step explanation:

Step one:

Simone paid $12 initial subscription

The rate renewable = $7 per year

let the number of years be x

and the total amount be y

the linear function/expression for the total amount is represented using the equation of line

i.e y=mx+c

where

     m= gradient = $7

     x= independent variable

     c= constant, $12

this is also given as

y=7x+12

Step two:

let's assume the plan is for 3 years, that is x=3

then

y=7(3)+12

y=21+12

y=33

$33

For any number of years, just put x=the number of years and solve


Related Questions

In ΔMNO, the measure of ∠O=90°, OM = 1.8 feet, and NO = 4.1 feet. Find the measure of ∠M to the nearest degree.

Answers

Answer:

66°

Step-by-step explanation:

tan β = [tex]\frac{4.1}{1.8}[/tex]

β = arctan [tex]\frac{4.1}{1.8}[/tex] ≈ 66°

What the equation of this graph in slope-intercept form?

Answers

Answer:

y= 3/5x + 3

Step-by-step explanation:

slope= 3/5

y intercept= 3

Answer: [tex]y=\frac{3}{5} x+3[/tex]

Step-by-step explanation:

To find the equation of the graph, we need to know the slope and y-intercept. We can find the slope by using the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Then, we use a point to find the y-intercept. Let's use the points (0,3) and (-5,0).

[tex]m=\frac{0-3}{-5-0} =\frac{-3}{-5} =\frac{3}{5}[/tex]

Now that we know the slope, we can plug in any point to find the y-intercept.

[tex]3=\frac{3}{5} (0)+b[/tex]            [multiply]

[tex]b=3[/tex]

Now, we know the equation is [tex]y=\frac{3}{5} x+3[/tex].


What is the equation of the line?

Answers

Answer:

y=-3x-3

Explanation:

If you do rise over run, you would see it goes down then right making it negative. It goes 3 down and 1 right making the slope -3. It crosses the y axis at -3 so the y intercept is -3. Have a good day

Find the domain and range of y=-5x-1

Answers

Answer:

[tex]\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

[tex]\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Step-by-step explanation:

Finding the domain:

The domain of a function is the set of possible input values for which the function is real and defined.

Given the function

[tex]y=-5x-1[/tex]

The function has no undefined points nor domain constraints. Hence, the domain is

[tex]-\infty \:<x<\infty \:[/tex]

i.e.

[tex]\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Finding the range:

The range of a function is the set of possible output values (dependent variable y values) for which a function is defined.

The range of polynomials with odd degree is all the real numbers.

Hence, the domain is

[tex]-\infty \:<y<\infty \:[/tex]

i.e.

[tex]\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

How do you write 66% as a decimal?​

Answers

Answer:

0.66

Hope this helps!

Answer:

0.66

Step-by-step explanation:

Move the decimal twice to the left whenever you try to convert a percent to a decimal

Simplify:

√5 ⋅ √12 ⋅ √50

O 10√30


O 10√10


O 7√30


O 7√10

Answers

Answer:

The answer is A 10squareroot of 30

Step-by-step explanation:

hope that helps you

Sid earns $135 per day as a babysitter. He works 9 hours each day. How much does he eam in an hour?
OA 517
OB. $15
OC. $14
OD. $12
OE $11

Answers

The correct answer is B

Answer:

B is the answer

Step-by-step explanation:

Mark me as the brainliest,thank you

#Carryonlearning

PLEASE HELP THIS HARD Ali deposits her weekly paycheck of $412.60 and withdraws $40 cash from her bank account each week. If her starting balance was $315.85, what is her balance after 3 weeks?

Answers

Answer:

Step-by-step explanation:

jjjj

Solve the proportion below. X/12=12/72

Answers

Answer:

x=2

Step-by-step explanation:

2/12 is equal to 12/72

Answer:

its 2

Step-by-step explanation:

The maximum height of a vehicle that can safely pass under a bridge is 12 feet 5 inches. A truck measures 162 inches in height. Which best explains whether or not the truck can pass safely under the bridge?

Answers

Answer:

144 + 5 = 149

162 - 49 = 113

The truck cannot pass saftely under the bridge.

I hope this is helpful!

Step-by-step explanation:

One dollar can buy a bottle of mineral water two empty bottles can be exchanged for a bottle of mineral water question:how many bottles of mineral water can you drink at most with 20 dollars

Answers

Step-by-step explanation:

If one dollar can buy a bottle of mineral water, then;

$1 = 1 bottle

To determine the amount of mineral water you can drink  with at most  20 dollars, we will say;

$20 = x bottle

Solving both equality postulate;

$1 = 1 bottle

$20 = x bottle

Cross multiply

1 * x = 20 * 1

x = 20

Hence about 20 bottles of mineral drink can be bought with at most 20 dollars

Answer: 39

Step-by-step explanation:

You exchange $20 for twenty bottles of mineral water.

[Drank: 20

Exchanged: 20/2=10]

[Drank: 20+10

Exchanged: 10/2=5]

[Drank: 20+10+5

Exchanged: 4/2=2]

[Drank: 20+10+5+2+1

Exchanged: 2/2=1]

Drank in total: 20+10+5+2+1+1

which is = 39

Which of the following describes the transformation shown?
a. dilation with a scale factor of 2
b. rotation of 90º CCW
c. reflection over the x-axis
d. translation up 2 units

Answers

C) reflection over the x-axis

It took 48 minutes to drive downtown. An app estimated it would be less than that. If
the error was 20%, what was the app's estimate?

Answers

Answer:

38.4 minutes

Step-by-step explanation:

Assuming the error was 20% less

Answer:

40 mins

Step-by-step explanation:

When it is about 68°F, crickets chirp 124 times a minute. When it is about 80°F, they chirp 172 times a minute. WRITE an equation in POINT SLOPE FORM for the line that models this situation.

Answers

Answer:

4x+148

Step-by-step explanation:

Let the temperature be x and time taken by cricket to chirp be y

if when it is about 68°F, crickets chirp 124 times a minute, this means;

at x1 = 68, y1 = 124

If it is about 80°F, they chirp 172 times a minute, then;

at x2 = 80, y2 = 172

The standard form of equation in point slope form is expressed as;

y-y0 = m(x-x0)

m is the slope

(x0, y0) is a point on the line.

First we need to get the slope.

m = y2-y1/x2-x1

m = 172-124/80-68

m = 48/12

m =4

Substitute m = 4 and any point into the expression above. Using the coordinate (68, 124)

get the intercept c

124 = 4(68) + c

c = 272-124

c = 148

The required equation is expressed as y = 4x+148 OR y - 124 = 4(x-68)

Determine whether the lines with the given slopes are parallel, perpendicular, or neither.

m1= 1/2 & m2= 0.5

Answers

Answer:

The given lines are parallel.

we already know that for parallel condition we apply;

m1=m2

1/2=0.5

0.5=0.5

prove y=6x-24 and y=1/6x +4 are inverse functions ​

Answers

Answer:

Answered

Step-by-step explanation:

Answer:

well you did the law of inverse on 6x you proved it by putting the one above it and switched the minus with a plus and divided 24 by 6

Step-by-step explanation:

is there a different way we can do it?

Answers

Do what what what what

I am so stuck! :( Pls help me!!! I don't get the problem and I don't know how to solve it

Answers

Answer:

[tex]\frac{n^{2}}{2a}[/tex]

Step-by-step explanation:

Just split it up first [tex]\frac{9an^{3}}{18a^{2}n}=\frac{9}{18}\times \frac{a}{a^2} \times\frac{n^3}{n}[/tex] Then 9 divided by 18 can be simplified into the fraction 1/2What can go into [tex]a[/tex] and [tex]a^2[/tex] ? a itself right, so if you divide a by a you get 1, if you divide [tex]a^2[/tex] by a you get aSame as the a fraction, if you divide [tex]n^3[/tex] by n you get [tex]n^2[/tex] [tex]\frac{9an^{3}}{18a^{2}n}=\frac{9}{18}\times \frac{a}{a^2} \times\frac{n^3}{n}=\frac{1}{2}\times \frac{1}{a} \times\frac{n^2}{1}=\frac{n^{2}}{2a}[/tex]

Answer:

(n^2)/2a

Step-by-step explanation:

We'll take this in small steps. Don't worry and follow along if you wish :D

Where do we start? Well, first, we notice that all of the numbers/variables (on both the denominator and the numerator) are multiplied by each other. If this case had addition or subtraction in the fraction, the explanation would have differed.

Let's take on a simpler example to show you what I mean. Here's a relatively simpler equation with no pesky variables:

(1 + 3)/4

This equation has to be broken down like this:

1/4 + 3/4

And although we could just do (1 + 3) quickly and divide by 4, consider it if we replace them with numbers instead, or variables in other words:

(x + y)/x

Then, it would work the same way as the previous example:

x/x + y/x

And that would further simplify to (1 + y/x).

But, we're lucky! Because there is no addition or subtraction, we won't have to divide all the numbers that are in the numerator with the number(s) in the denominator. Consider this:

(3*4)/4

We only need to divide 4 by the denominator (which is also four, in this case) and not both 3 and 4 like how we would solve if it had addition or subtraction.

First step! Let's take all of the variables out of this nasty equation we have on our hands to make it simpler:

(9an^3)/(18a^2n)

We would be left with...

9/18

And then we would reduce to leave 1/2. Notice that if we add all the variables back, we would have:

(1an^3)/(2a^2n)

Or (an^3)/(2a^2n)

If we write it out, we'll find this equation a tad bit easier with the large numbers dealt with (although I will admit, it doesn't look that great on the screen—lol)!

Back to business. Here, we need to simplify the variables. Given, we have to remember that variables are just your every-day number (but unknown). Because of that, we get to divide them very much like how we would with regular numbers. Rope in some of our previous lesson about not having to divide all the numbers on the numerator from the denominator from the beginning, too!

(an^3)/(2a^2n)

You can cancel out the variable a^ in this equation. That would leave you with:

(n^3)/(2an)

Try to simplify the rest on your own and use my work to check your answers! if you can't, then no worries. Follow along with me :D

We can also reduce using n. That will leave:

(n^2)/2a

And then you're done! I would recommend more questions like these (if you aren't already doing them) because you'll be using simplifying techniques similar to this equation in the future.

Good luck and keep studying!

PLEASE SOLVE, IN A HURRY!!!
WILL NAME BRAINLIEST!!!!

Answers

Answer:

394 miles.

(its hard to explain but you need to spit 1356 and add 284 to one half)

Answer:

820

Step-by-step explanation:

Let us call the trip back x. The trip back is 284 miles smaller than the trip back, so our equation can be:

x + x + 284 = 1356

2x + 284 = 1356

2x = 1072

x = 536

The we do 536 + 284 because the trip there was 284 miles longer, so that is 820

Pythagorean Theorem question

Answers

To find the area, you first must find the hypotenuse of the top triangle.
a^2 + b^2 = c^2
18^2 + 24^2 = c^2
18 and 24 are both divisible by 6, so you can divide them both by 6 to make the equation easier to solve.
3^2 + 4^2 = c^2
25 = c^2, so c = 5
Multiply 5 by the 6 we divided by earlier to get a hypotenuse of 30.
The area equals base times height divided by two, so we can divide 84 by 2 and then multiply by 30 to get the area.
84/2= 42
42 x 30 = 1260 inches squared is the area
Answer :

Your answer is going to be 1260

Explanation:

Your Welcome

Mallory records the number of hours she spends babysitting and the amounts of money she is paid. What is the constant rate of proportionality between the number of hours Mallory babysits and the amount of money she is paid, in dollars?

Please explain as well, I do not understand how I would find the answer.

Answers

Answer:

Mallory gets paid $20 for every 1 hour.

Step-by-step explanation:

You take the lowest set of numbers in this table, & divide them to find how much it would be for 1 hour: $40÷2hours= $20

ratio 1 hr./20 dollars

WILL GIVE BRAINLIES- ARITHMETIC SEQUENCE

Answers

Answer:

2,322,775

Step-by-step explanation:

[tex] a_1=4\\\\

a_i=a_{i-1}+11\\\\

\implies a_2=a_{2-1}+11\\a_2= a_1+11 \\a_2= 4+11 \\a_2= 15\\\\

d = a_2-a_1 \\d= 15-4 \\d= 11\\\\

S_{650}=?\\\\

\implies n = 650\\\\[/tex]

By the formula of sum of an Arithmetic Sequence

[tex] S_n= \frac{n}{2} [2a_1+(n-1)d]\\\\

S_{650}= \frac{650}{2} [2\times 4+(650-1)\times 11]\\\\

S_{650}= 325 [8+649\times 11]\\\\

S_{650}= 325 [8+7,139]\\\\

S_{650}= 325\times 7,147\\\\

\huge \red {\boxed {S_{650}=2,322,775}} [/tex]

I really need help on this question

Answers

Answer:

40 cm

Step-by-step explanation:

Since the triangles are similar then the ratio of corresponding sides are equal.

Compare the ratio of the 2 smallest sides

[tex]\frac{12}{3}[/tex] = 4 ← scale factor

Thus the longest side of the other triangle is 4 times the longest side of the first triangle , that is

longest side = 4 × 10 = 40 cm

how to figure out how many solutions 7y+13=5y-3

Answers

Answer:

7y+13=5y-3

7y=5y-16

2y=-16

Y=-8

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

You collect like times together.

7 y + 13 = 5 y - 3

7 y - 5 y = - 3 - 13

2 y = - 16

2 y / 2 = - 16 / 2

y = - 8

Need help with this now! Giving 100 points and brainliest to whoever can give the best answer to this with an explanation.
The graph represents the speed at which Pete’s marble travels. The speed of Stephano’s marble is represented by the equation f=2.25s, where f is the distance in feet and s is the time in seconds. Whose marble will reach the 6-foot mark sooner?

Answers

Answer:

Note. There is a mismatch between the graph and the equation

------------------------------

As per the graph, 6 ft is reached at 4 secondsThe graphed line is f = 1.5s

------------------------------

If we go by the equation, then:

f = 2.25s6 = 2.25ss = 6/.2,25s = 2.67 seconds

PLEASE HELP I HAVE 5 MIN TO TURN THIS IN!!!!!!!!!!!!!
Perform the operation below
(x 2+10x)+(4x−1)

Answers

Answer:

Step-by-step explanation:

x2 + 14x + 1

Answer:

x² + 14x - 1

Step-by-step explanation:

(x²+10x)+(4x−1)

= x² + 10x + 4x − 1

= x² + 14x - 1

Compute the difference when 16 ÷ 4 × 2 is subtracted from 16 × 4 ÷ 2.

Answers

Answer:

-14

explanation:

(16 ÷  4 )x 2)-(16 x 4 )÷ 2)

so 16 ÷ 4 is 4.

4x2 is 8

16x4 is 32

32 ÷ 2 is 16

2-16

-14

so basically its 14

if i got it wrong it can be 24

Select the sentence that represents the equation below.
4x−8=2(2x−3)

Four times a number less than eight is equal to two times the difference of double that same number decreased by three.

Eight less than four times a number is equal to two times the difference of three minus double that same number.

Eight less than four times a number is equal to two times the difference of double that same number decreased by three.

Eight minus four times a number is equal to two times the difference of double that same number minus three.

Answers

Answer:

Eight less than four times a number is equal to two times the difference of double that same number decreased by three.

Step-by-step explanation:

The given equation is:

4x−8=2(2x−3)

We will try to translate the given equation in English.

We can see that the variable used is only one. On the left hand side of the equation 8 is being subtracted from 4 times of the variable and on the right hand side 3 is being subtracted from 2 times of variable and then being multiplied by two.

From the given option, correct answer is:

Eight less than four times a number is equal to two times the difference of double that same number decreased by three.

im not having a good day so maybe this will make someone elses a little bit better :) Heres 100 points.

Answers

Answer:

yo thank you man your the best

Tysm have a good day :)

2 1/2 + (-1/3)
PLz, help me with this question.

Answers

Answer:

2 1/6

Step-by-step explanation:

Other Questions
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