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Akimi4 [234]
3 years ago
13

You’re trying to decide which cell phone plan to purchase. Plan A charges $40 for a new phone and $20 a month for usage. Plan B

provides the phone for free, but has a fee of $30 s month for usage. Write an equation to represent each plan
Mathematics
1 answer:
Keith_Richards [23]3 years ago
3 0

Answer:

Plan A - 20x+40

Plan B - 30x

Step-by-step explanation:

x will determine the number of months.

For example, Plan A's equation

If I paid for one month, I should get $60.

20(1)+40 = 60

Now for three months, I should get $100. Because Plan A charges $20/month after a one time fee of $40 for the new phone.

20(3)+40 = 100

On the other hand, Plan B gives away a free phone, meaning no one-time fees. It only charges us $30/month. That's easy.

30(1) = $30

30(3) = $90

You might be interested in
HELP!!! Lucas deposits $250,000 into two investment accounts. Over a year, the first account
prohojiy [21]

The amount deposited in the account that earns 3.6% interest is $57,600 and the amount  deposited in the account that earns 2.1% interest is $192,400

The first step is to determine the amount of interest he earned in total over a year

Interest = Amount in the account - amount deposited

$256,114 -  $250,000 = $6,114

The second step is to formulate two set of equations and use simultaneous equation to solve the question

a + b = $250,000 equation 1

0.036a + 0.021b = $6,114 equation 2

Where a represent amount deposited in the account that earns 3.6% interest

b  represent amount deposited in the account that earns 2,1% interest

Multiply equation 1 by 0.036

0.036a + 0.036b = 9000 equation 3

Subtract equation 2 from 3

2886 = 0.015b

divide both sides of the equation by 0.015

b = $192,400

Substitute for b in equation 1

a + 192,400 = 250,000

a = 250,000 - 192400

a = $57,600

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

6 0
3 years ago
Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not
Igoryamba

Answer:

Step-by-step explanation:

We would construct a confidence interval.

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Since the sample size is large and the population standard deviation is known, we would use the following formula and determine the z score from the normal distribution table.

Margin of error = z × σ/√n

Where

σ = population standard Deviation

n = number of samples

From the information given

x = 36.02 inches

σ = 0.1 inches

n = 40

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.99 = 0.01

α/2 = 0.01/2 = 0.005

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.005 = 0.995

The z score corresponding to the area on the z table is 2.58. Thus, confidence level of 99% is 2.58

Margin of error = 2.58 × 0.1/√40 = 0.041

Confidence interval = 36.02 ± 0.041

The lower end of the confidence interval is

36.02 - 0.041 = 35.979 inches

The upper end of the confidence interval is

36.02 - 0.041 = 36.061 inches

Since 36.061 > 36.05, then we would conclude that the machine needs an adjustment.

The formula used is

Confidence interval =

Sample mean ± z × σ/√n

7 0
3 years ago
Suppose 6 quarts of a solution that is 52% antifreeze is mixed with 10 quarts of a solution that is 32% antifreeze. (A) how many
Vadim26 [7]
The total amount of the resulting mixture can be calculated by adding up the volume of the given substances assuming that volume addition is applicable given the properties of the fluids used. 

That is,
   T = 6 quarts + 10 quarts = 16 quarts

The total volume of the resulting mixture is 16.

Then, we do the component (antifreeze) balance by adding up the resulting antifreeze from the substances to the total. We let x be the percentage of antifreeze in the final mixture.

    6(0.52) + 10(0.32) = 16(x)

The value of x from the equation is 0.395.

Therefore, the answer to this item is 39.5%. 
4 0
3 years ago
Which equation represents a line that passes through 4 6) and is parallel to the line whose equation is 3x - 4y= 6
Pachacha [2.7K]

Parallel means their slopes should equal to each other.

Thus we need to find the slope of the given line ,

Let's do it.....

3x - 4y = 6

Subtract sides -3x

- 3x + 3x - 4y =  - 3x + 6

- 4y =  - 3x + 6

Divided sides by -4

\frac{ - 4}{ - 4}y =  \frac{ - 3}{ - 4}x +  \frac{6}{ - 4} \\

y = \frac{3}{4}x -  \frac{3}{2}  \\

This is the slope-intercept of the line.

We know that the coefficient of the x in slope-intercept form , is the slope of the line.

Thus the slope of the equation which we want is :

slope =  \frac{3}{4} \\

_________________________________

We have following equation to find the point-slope form of the linear functions.

y - y(given \: point) = slope \times (x - x(g \: p) \: ) \\

Now just need to put the slope and the given point in the above equation.

y - 6 =  \frac{3}{4} \times (x - 4) \\

Multiply sides by 4

4(y - 6) = 3(x - 4)

4y - 24 = 3x - 12

Plus sides 24

4y - 24 + 24 = 3x - 12 + 24

4y = 3x + 12

Subtract sides -3x

4y - 3x = 3x - 3x + 12

4y - 3x = 12

And we're done....♥️♥️♥️♥️♥️

4 0
3 years ago
A police car drives with a constant speed of 50 miles per hour. How long will it take to travel a distance of 175 miles?
Evgen [1.6K]

Answer:

It will take the police car 3.5 hours to travel a distance of 175 miles traveling at a rate of 50 miles/hour.

Step-by-step explanation:

If a car is traveling at a constant speed of 50 miles/hour and we wish to know how long it will take it to travel a distance of 175 miles, we will use this formula

d = r*t

Where d is the distance traveled in miles

r is the rate of speed in miles/ hour, and

t is the time in hours

d in this case is 175 miles and r is 50 miles/hour, plugging this in, we have

175 miles = (50 miles/hour) * t         Divide both sides by 50 miles/hour

Our miles unit will cancel out, leaving us with

3.5 hours = t


3 0
4 years ago
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