m(x) = 3x - 4
n(x) = 2x - 6
Find (m-n)(x).
Please helppp

Answer:

You will have earned $113 in interest.

Step-by-step explanation:

After investing for 4 years at 3% interest, your initial investment of $900 will have grown to $1,013.

To find the amount you need to invest, we can use the formula for simple interest:

\(\displaystyle\sf \text{{Interest}} = \text{{Principal}} \times \text{{Rate}} \times \text{{Time}}\)

Here, the principal is the amount you need to invest, the rate is 3% (or 0.03 as a decimal), and the time is 4 years. We can rearrange the formula to solve for the principal:

\(\displaystyle\sf \text{{Principal}} = \frac{{\text{{Interest}}}}{{\text{{Rate}} \times \text{{Time}}}}\)

Plugging in the given values, we get:

\(\displaystyle\sf \text{{Principal}} = \frac{{900}}{{0.03 \times 4}}\)

Simplifying further:

\(\displaystyle\sf \text{{Principal}} = \frac{{900}}{{0.12}}\)

Calculating the division:

\(\displaystyle\sf \text{{Principal}} = 7500\)

Therefore, you will need to invest $7500 at 3% to have earned $900 in interest in 4 years.

Nathaniel drinks 3 glasses of water in one hour.

To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.

In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.

Let's convert the mixed number of hours to an improper fraction:

\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)

\(=\frac{12}{5}\)

Now, we can set up a proportion to find his drinking rate per hour.

We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.

Let's assign "x" as the number of glasses he drinks in one hour.

The proportion is then

\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)

Cross-multiplying gives us

\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)

Simplifying, we get

\(\frac{12}{5} =\frac{4}{5}\times x\)

Dividing both sides by \(\frac{4}{5}\), we find x:

\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)

\(x=\frac{12}{4}\)

\(x = 3.\)

Therefore, Nathaniel drinks 3 glasses of water in one hour.

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Answer:

3 to 9 I guess...................

The cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.

To find the cheapest price Sam would pay for 10kg of cake for the party, we need to compare the prices of the available cakes and determine the most cost-effective option.

At Mega Mart, a 5kg cake costs $2500.

Therefore, the price per kilogram for this cake is:

Price per kilogram at Mega Mart = $2500 / 5kg = $500/kg.

At the same time, a 2kg chocolate cake costs $1200.

So, the price per kilogram for this cake is:

Price per kilogram for the chocolate cake = $1200 / 2kg = $600/kg.

Now, let's calculate the total price for 10kg of cake from each option:

Total price at Mega Mart for 10kg = $500/kg \(\times\) 10kg = $5000.

Total price for 10kg of chocolate cake = $600/kg \(\times\) 10kg = $6000.

Comparing the two options, we see that the Mega Mart cake is the more cost-effective choice.

Sam would pay a total of $5000 for 10kg of cake from Mega Mart, whereas the chocolate cake would cost $6000 for the same quantity.

Therefore, the cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.

In summary, Sam would pay the cheapest price of $5000 to purchase 10kg of cake for the party from Mega Mart.

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Answer: .04

Step-by-step explanation:

3.76 many times large is 7.9 x 10⁴ than 2.1 x 10³. This can be solved using scientific notation method.

A method of writing numbers that combines a power of 10 with a number between 1 and 10. Using scientific notation, one may express extremely big or extremely small values. Once a number between 1 and 10 has been multiplied by such a power of 10, it is then expressed in scientific notation. For instance, 6.9 × 10⁸ can be used to represent the number 690,000,000.

The main goal of scientific notation is to simplify computations using numbers that are abnormally big or tiny. When a number is written in scientific notation, all of the digits are important since zeros are no longer utilized to set the decimal point.

For: 7.9 x 10⁴

= (79/10) x 10⁴

= 79 x 10³

on the other hand for: 2.1 x 10³

Thus, 3.76 many times large is 7.9 x 10⁴ than 2.1 x 10³.

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30=−5(m+6)+m

Step 1: Simplify both sides of the equation.

30=−5(m+6)+m

30=(−5)(m)+(−5)(6)+m(Distribute)

30=−5m+−30+m

30=(−5m+m)+(−30)(Combine Like Terms)

30=−4m+−30

30=−4m−30

Step 2: Flip the equation.

−4m−30=30

Step 3: Add 30 to both sides.

−4m−30+30=30+30

−4m=60

Step 4: Divide both sides by -4.

−4m

−4

=

60

−4

m=−15

Answer:

m=−15

Answer:

On a number line, 1/6 would land in the exact middle between 0 and 2/6

Step-by-step explanation:

Not too sure what your question meant, but I hope my answer helped!

If it wasn't what you were looking for, please let me know and elaborate on your question and I'll be happy to help out! :)

The length and width of the screen is 9.71 inch and 12.71 inch.

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles.

Area of triangle = Length * Width

Let L be the length and W be the width of the rectangle.

Now it is given that,

Dimensions of a rectangular monitor screen are, its length is 3 in. more than its width.

⇒ L + 3 = W  

Therefore area is given as,

A = L * W

Put the value of W we get,

A = L * (L + 3)

Now, If the length were doubled and if the width were decreased by 1 in, the area would be increased by 104 in^2

Length = 2L

Width = W - 1

Thus area becomes,

A' = 2L(W - 1)

Now, the area would be increased by 104 in^2

A' = A + 104

Putting the value of A in A' we get,

A' = L * (L + 3) + 104

Now putting the value of A' we get,

2L(W - 1) = L * (L + 3) + 104

Expanding we get,

2LW - 2L = L^2 + 3L + 104

Since L + 3 = W  

Thus, putting W in above we get,

2L(L + 3) - 2L = L^2 + 3L + 104

Expanding the brackets we get,

2L^2 + 6L - 2L = L^2 + 3L + 104

Solving we get,

2L^2 + 4L = L^2 + 3L + 104

Taking all the terms together we get,

2L^2 + 4L - L^2 - 3L - 104 = 0

Solving alike terms we get,

L^2 + L - 104 = 0

Solving the above equation we get,

L = 9.71 inch, -10.71 inch

Since, Length cannot be negative

Thus,

L = 9.71 inch

Put the value of L in W we get,

9.71 + 3 = W  

⇒ W = 12.71 inch

Thus the required value of length and width is,

Length = 9.71 inch

Width = 12.71 inch

Thus, the length and width of the screen is 9.71 inch and 12.71 inch.

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The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Check the picture below.

Answer:

The significance of the quoted text is to illustrate the less privileged in an overwhelmingly crowded and disordered chronological reality.

Quote means to cite something as a form of proof. It has several other senses as a verb and a noun. It should be noted that to quote something or someone is to repeat the exact words they said or to recite the exact words written in a book.

Great speakers often quote other inspiring people when making speeches. When you quote, you include the words and ideas of others in your text exactly as they have expressed them.

You signal this inclusion by placing quotation marks (“ ”) around the source author's words and providing an in-text citation after the quotation.

In this case, the significance of the quoted text is to illustrate the less privileged in an overwhelmingly crowded and disordered chronological reality. A quotation is the repetition of a sentence, phrase, or passage from speech or text that someone has said or written.

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Answer:

20

Step-by-step explanation:

2(5)+10=20

\(\huge \colorbox{pink}{Mathematics}\)

2x + 10 when x = 5

\(2x + 10 \\ = 2(5) + 10 \\ = 10 + 10 \\ = 20\)

Correct me if I'm wrong

I hope it helps ^_^

114 is 95% of 120

100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.

114 is 95 Percent of What Number?

Formula = Number x 100

Percent = 114 x 100

95 = 120

The following shows the steps to derive this formula and find out 95% of the number is 114.

Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.

114

95% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

95Y = 114 x 100

95Y = 11400

Y = 11400

100 = 120

Answer:

0.40x = 320

Step-by-step explanation:

40 = percent, 320 = part. Write the percent as a decimal and multiply by the whole.

Answer:

1/4

Step-by-step explanation:

Answer:

-1/4, -3/12

Step-by-step explanation:

:)

Answer:

x^2-4/7x-12/49=0

x= 6/7 and -2/7

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

x-5+7=11

First think of what +7 = 11 then subtract by 5

check  :)

Answer:no pic attached

Step-by-step explanation:

Answer:

AC = 22

Step-by-step explanation:

Given that B is the midpoint of AC , then AB = BC , that is

2x + 1 = 5x - 14 ( subtract 2x from both sides )

1 = 3x - 14 ( add 14 to both sides )

15 = 3x ( divide both sides by 3 )

5 = x

Thus

AC = AB + BC = 2x + 1 + 5x - 14 = 7x - 13 = 7(5) - 13 = 35 - 13 = 22

The province's population is growing at the rate of  58.34 %

Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. The calculation for ROC is simple in that it takes the current value of a stock or index and divides it by the value from an earlier period.

Given:

Initial Population = 4.2 million

Population after 20 years = 6.65 million

Change in population = 6.65 - 4.2 = 2.45 million

Rate at which the province's population growing is

= \(\frac{Change in population}{Inital Population}\) x100 %

= \(\frac{2.45}{4.2}\\\) x 100%

= 58.34 %

Thus the province's population is growing at the rate of  58.34 %

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Answer:

-2x^2 - 2x + 5

Step-by-step explanation:

Combine like terms (same variable and degree) to simplify

3x^2-5x^2+5x-7x+3+2

-2x^2-2x+5

Answer:

Combining like terms, we get:

-2x² - 2x + 6

Answer:

noon 180 degrees from 12 to 12

Approximately 34.87% of the readers surveyed don't use e-readers.

To find the approximate sample proportion of readers who use e-readers, we divide the number of readers who said they read books on e-readers (1954) by the total number of readers surveyed (3000):

Approximate sample proportion = Number of readers who use e-readers / Total number of readers surveyed

Approximate sample proportion = 1954 / 3000 ≈ 0.6513

To express this as a percentage, we multiply the sample proportion by 100:

Approximate sample proportion as a percentage = 0.6513 × 100

= 65.13%

Therefore, the approximate sample proportion of readers who use e-readers is approximately 65.13%.

This means that approximately 65.13% of the readers surveyed use e-readers.

To determine the percentage of readers who don't use e-readers, we subtract the sample proportion from 100%:

Percentage of readers who don't use e-readers = 100% - 65.13%

= 34.87%

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Answer:

115 degrees and next time use a protractor.

Step-by-step explanation:

Answer:

Yes blue liquid is toxic

Step-by-step explanation:

H0: p1 = p2

H1: p1>p2

For blue

We calculate proportion as

37/40 = 0.925

For white

9/40 = 0.2250

To get p

(X1 + x2)/(n1 + n2)

= 0.5750

After calculating the z as statistic (please check attachment) I got 6.33

P value = 0.0000

We reject null hypothesis and say in conclusion that enough evidence exists for us to say blu liquid is toxic!

Thank you!

There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

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Answer:

x = - 9

Step-by-step explanation:

2x + 7 = - 11 ( subtract 7 from both sides )

2x = - 18 ( divide both sides by 2 )

x = - 9

The answer is:

x = -9

Work/explanation:

The point of equations is to find the variable's value by isolating it step-by-step.

For this equation, the variable is x.

To isolate it, I will perform a few operations.

First, I will subtract 7 from each side:

\(\sf{2x+7=-11}\)

\(\sf{2x=-11-7}\)

\(\sf{2x=-18}\)

Divide each side by 2

\(\sf{x=-9}\)

Hence, x = -9.

\(\rule{350}{4}\)

Answer:

48

Step-by-step explanation: