A company that sells paper has a tiered pricing model based on how much paper you buy. If you buy less than 10 reams, they charge you $7 per ream and a shipping cost of $8. If you buy 10 or more reams but less than 20 reams, they charge you $6 per ream and a shipping cost of $16. If you buy 20 or more reams, they charge you $6 per ream and shipping is free.
a. Write a function that models the price in terms of the number of reams bought.
b. What is the domain of the function?
c. What is the range of the function?
d. How much will it cost to buy 25 reams of paper?
f. How much paper can you buy for $60?

The steps which are involved in the reporting of copyrighted material include the following below:

This is a term which is referred to as the legal right of the owner of an intellectual property such as music, books etc.

In a situation where the intellectual property is infringed, it is best to gather the necessary proof or evidence so as to have a case to be presented, then send a notice after which the appropriate body should be reported.

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The equation that represent the gross pay is y = 0.12x + 1760. The commission was $10896 and gross pay was $12656

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Let y represent the gross pay for x total sales.

Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month, hence:

y = 1760 + 12% of x

y = 0.12x + 1760

Donald's sales were $90,800 for last month. Hence:

a) Commission = 0.12 * $90800 = $10896

b) Gross pay:

y = 10896 + 1760 = $12656

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After 40 years, the account has a total balance of $49.450.80.

Any loans or borrowings come with interest. the portion of the loan's value that lenders use to calculate interest. By lending money (via a bond or certificate of deposit, for instance), or by depositing funds into an interest-bearing bank account, consumers can earn interest.

Let's assume that he starts with $0 in the account and makes a monthly contribution of $100 for 40 years, which is equal to 40 x 12 = 480 months.

The total contributions would be $100 x 480 = $48,000.

The interest earned on the account balance can be calculated as follows:

Interest = Account balance * Interest rate

At the end of each year, the interest is added to the account balance. So, after 40 years, the balance would be:

Year 1: $48,000 * 1.5% = $720

Balance = $48,000 + $720 = $48,720

Year 2: $48,720 * 1.5% = $730.80

Balance = $48,720 + $730.80 = $49,450.80

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Answer:

Let the length of the rectangle be L. Then we can use the formula for the area of a rectangle:

Area = Length x Width

Substituting the given values, we get:

16 1/3 = L x 4 2/3

To solve for L, we can first convert the mixed numbers to improper fractions:

16 1/3 = 49/3

4 2/3 = 14/3

Substituting these values, we get:

49/3 = L x 14/3

To solve for L, we can multiply both sides by the reciprocal of 14/3:

49/3 ÷ 14/3 = L

Simplifying, we get:

L = 49/3 x 3/14

L = 7/1

L = 7

Therefore, the length of the rectangle is 7 inches.

Step-by-step explanation:

Answer:

Kenyon could make a total of 7 bouquets.

Step-by-step explanation:

To find the greatest number of bouquets we need to find GCF.

We need to find GCF for 21 and 28.

The factors of 21 are: 1,3,7, and 21.

The factors of 28 are: 1,2,4,7,14, and 28

1 and 7 are the common factors between 21 and 28.

From the factors, the greatest common factor is 7.

Answer:

C

Step-by-step explanation:

\(y = 2x + 3 \\ y = 3x + 1 \\ 2x = y - 3 \\ x = 0.5y - 1.5 \\ y = 3(0.5y - 1.5) + 1 \\ y = 1.5y - 4.5 + 1 \\ y - 1.5y = - 3.5 \\ 0.5y = 3.5 \\ y = 7\)

\(x = 0.5(7) - 1.5 \\ x = 3.5 - 1.5 \\ x = 2\)

(2, 7)

\( \begin{aligned}3 \times \frac{1}{6} &= \frac{3}{6} \\ & = \frac{3 \div \blue{3}}{6 \div \blue{3} } \\ &= \bold{ \frac{1}{2} } \end{aligned}\)

\( \tt{That's\: why \: it\:takes\: 3\: copies\: of\: \frac{1}{6}} \: \\ \tt{to\: show\: the \: same \: amount\: as\: 1\: copy\: of\: \frac{1}{2}} \\ \\ \small{\blue{\mathfrak{That's \: it\: :)}}}\)

\( \frac{4}{5} + \frac{2}{3} \\ \frac{4 \times 3}{5 \times 3} + \frac{2 \times 5}{3 \times 5} \\ \frac{12}{15} + \frac{10}{15} \\ = \frac{22}{15} \: or \: 1 \frac{7}{15} \)

Answer:

40%

Step-by-step explanation:

840 - 504

= 336

336/840

= 0.4 × 100

= 40%

Step-by-step explanation:

with 4 zeroes it means we are taking about a polynomial of 4th grade (the max. variable exponent is 4).

we can create the polynomial via factorization.

remember, a "zero" means that the polynomial has an overall value of 0, when x is that value.

when is a product of factors 0 ? when at least one of the factors is 0, because 0×anything = 0.

what is a factor of the polynomial that is 0, when x = n ?

(x - n)

when x = n, then this turns 0 and turns the whole remaining polynomial to 0 too.

so, we create for the given zeros :

y = (x - -3)(x - 3)x(x - 4i) = (x + 3)(x - 3)x(x - 4i) =

= (x² - 9)x(x - 4i) = (x³ - 9x)(x - 4i) =

= x⁴ - 4ix³ - 9x² + 36ix = x⁴ - 9x² - 4i(x³ - 9x)

The resultant function of the operations is given as follows:

f(x)g(x) + h(x) = 20x³ - 7x.

The functions in the context of this problem are defined as follows:

The operation is given as follows:

f(x)g(x) + h(x).

Hence, to obtain the resultant function, we apply the definitions into the operation and the simplify, applying the distributive property and combining the like terms, as follows:

4x(5x² - 4) + 9x = 20x³ - 16x + 9x = 20x³ - 7x.

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Answer:

  $3512.82

Step-by-step explanation:

You want the value of the annual payment to an ordinary annuity earning 4.8% compounded annually, if the value after 18 years is $97,000.

The relationship between the payment P and the annuity value A is given by ...

  A = P((1 +r)^t -1)/r . . . . . annual interest rate r for t years

Using the values in the problem statement, and solving for P, we have ...

  P = Ar/((1 +r)^t -1)

  P = $97000·0.048/(1.048^18 -1) ≈ $3512.82

Christine needs to pay in $3512.82 each year.

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Answer: There is a two-digit number . whose units digit is . six less than the tens digit. Four times the tens digit . plus five times the units digit equal

51. x - 6 = y

. 4x + 5y = 51.

4x - 4y = 24.

9y = 27. y = 3, x = 9.

The number is 93.

Step-by-step explanation: pls mark brainliest

The total surface area of the triangular prism using the net is 96 square units

From the question, we have the following parameters that can be used in our computation:

The net of a triangular prism

The surface area of the triangular prism from the net is calculated as

Surface area = sum of areas of individual shapes that make up the net of the triangular prism

Using the above as a guide, we have the following:

Area = 2 * 3 * 7 + 6 * 7+ 2 * 1/2 * 2 * 6

Evaluate

Area = 96

Hence, the surface area is 96 square units

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The number of people surveyed in the bar graph is 34

The visual display of data (often grouped) in the shape of vertical or horizontal rectangular bars, with the length of the bars corresponding to the measure of the data, is called a bar graph.

The number of people surveyed is calculated by adding up the frequencies of each bar

The frequency shows the number of people using cell phones starting from zero cell phone user which is 1 to 6 cell phone users which is 5

The calculation

1 + 5 + 6 + 8 + 9 + 5 = 34

Hence the number people surveyed is gotten to be 34

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Solve equation [1] for the variable  y  

 [1]    y = -x - 4

Plug this in for variable  y  in equation [2]

  [2]    4x - 4•(-x -4) = 16

  [2]    8x = 0

Solve equation [2] for the variable  x  

   [2]    8x = 0  

  [2]    x = 0  

By now we know this much :  

   x = 0

   y = -x-4

Use the  x  value to solve for  y  

   y = -(-0/32766)-4 = -4  

Solution :

{x,y} = {0/32766,-4}

{x,y} = {0,-4}

Answer:

25

Step-by-step explanation:

The exact value of the specified trigonometric identity found using the the trigonometric identity for tan(A - B) and tan(arccos(x)) and tanarcsin(x)) is presented as follows;

\(tan\left(sin^{-1}\left(\dfrac{3}{4} \right) - cos^{-1}\left(\dfrac{1}{5}\right) \right) =\dfrac{32\cdot \sqrt{6}- 75\cdot \sqrt{7} }{209}\)

A trigonometric identity is an equality that involves trigonometric functions that is valid for all values of the arguments of the equation

The required trigonometric identities are;

\(tan (A - B) = \dfrac{tan(A) -tan(B)}{1-tan(A)\cdot tan(B)}\)

\(tan(sin^{-1}(x)) = \dfrac{x}{\sqrt{1-x^2} }\)

\(tan(cos^{-1}(x)) = \dfrac{\sqrt{1-x^2}}{x }\)

Therefore;

\(tan\left(sin^{-1}\left(\dfrac{3}{4} \right) - cos^{-1}\left(\dfrac{1}{5}\right) \right) = \dfrac{tan\left(sin^{-1}\left(\dfrac{3}{4} \right)\right)-tan\left(cos^{-1}\left(\dfrac{1}{5} \right)\right)}{1-tan\left(sin^{-1}\left(\dfrac{3}{4} \right)\right)\times tan\left(cos^{-1}\left(\dfrac{1}{5} \right)\right)}\)

Which gives;

\(\dfrac{\dfrac{\frac{3}{4} }{\sqrt{1-\left(\frac{3}{4} \right)^2} } -\dfrac{\sqrt{1-\left(\frac{1}{5} \right)^2}}{\frac{1}{5} } }{1+\dfrac{\frac{3}{4} }{\sqrt{1-\left(\frac{3}{4} \right)^2} } \times \dfrac{\sqrt{1-\left(\frac{1}{5} \right)^2}}{\frac{1}{5} }}=\dfrac{\dfrac{3\cdot \sqrt{7}-14\cdot \sqrt{6} }{7} }{\dfrac{7+6\cdot \sqrt{42} }{7} }\)

\(\dfrac{\dfrac{3\cdot \sqrt{7}-14\cdot \sqrt{6} }{7} }{\dfrac{7+6\cdot \sqrt{42} }{7} }=\dfrac{32\cdot \sqrt{6}- 75\cdot \sqrt{7} }{209}\)

Which indicates that we have;

\(tan\left(sin^{-1}\left(\dfrac{3}{4} \right) - cos^{-1}\left(\dfrac{1}{5}\right) \right) =\dfrac{32\cdot \sqrt{6}- 75\cdot \sqrt{7} }{209}\)

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You have the following parent function:

y = √x

after a transformation of 5 units right you obtain:

√x => √x + 5

a reflection around the x-axis results in:

√x + 5 => -√x - 5

a transformation of 2 units down is given by:

-√x - 5 => -√x - 5 - 2 = -√x - 7

and finally, a horizontal compression with factor 2, results in:

-√x - 7 => -√(2x) - 7

The graph of the previous result is shown below:

as you can notice, the domain and the range are:

domain: (0 , oo)

range: (-7 , -oo)

The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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The two values with the same value as 18 ones and 302 thousandths, given their place values, are:

Place value describes the position or place of a digit in a number, which determines its numerical value.

Place values form the basis of the number system because the position occupied by a digit in a number shows its value.

The place values on the left of the decimal point include Billions, Hundred Millions, Ten Millions, Millions, Hundred Thousands, Ten Thousands, Thousands, Hundreds, Tens, and Ones.

After the decimal point, on the right, the place values include tenths, hundredths, and thousandths.

18 ones and 302 thousandths

= 1 ten + 8 ones + 3 tenths + 2 thousands

= (1 x 10) + (8 x 1) + (3 x 1/10) + (2 x 1/1,000)

Thus, 18 ones and 302 thousandths share the same place values as Options B and D.

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Answer:

Step-by-step explanation:

Regular price  = $ 83

Discount  = 95% of 83

               = 0.95 * 83

              = $ 78.85

Price after discount = 83 - 78.85

                                = $ 4.15

Answer:

$4.15

Step-by-step explanation:

Multiply 83 by .05 to get the new price of $4.15. Additionally, multiply 83 by .95 to get the amount taken off ($78.85).

Given:

Radius of the dartboard is 12in.

Each side of the shaded region is 4in.

Incomplete question. The full question read;

A certain process for manufacturing integrated circuits has been in use for a period of time, and it is known that 12% of the circuits it produces are defective. A new process that is supposed to reduce the proportion of defectives is being tested. In a simple random sample of 100 circuits produced by the new process, 12 were defective.

a. One of the engineers suggests that the test proves that the new process is no better than the old process since the proportion of defectives in the sample is the same. Is this conclusion justified? Explain.

b. Assume that there had been only 11 defective circuits in the sample of 100. Would this have proven that the new process is better? Explain.

c. Which outcome represents stronger evidence that the new process is better: finding 11 defective circuits in the sample, or finding 2 defective circuits in the sample?

Answer:

1. No.

2. No.

3. finding 2 defective circuits in the sample.

Step-by-step explanation:

1. This does not prove that the new process is not better than the previous since we can this was just a random sample of 100 circuits that led to that discovery, not the entire circuits produced.

2. Even there had been only 11 defective circuits in the sample of 100, it still does not necessarily guarantee or prove the new process is better, since the actual percentage of defectives may be greater in another larger sample over 100.

3. By having just two defective circuits in the sample it would more clearly show that the new process is better.

Answer:

J

Step-by-step explanation:

If you were to plug in your variables, you would see that -6, and -7 is over 25 and the rest of your variables aren't. So, therefore your answer is J.

Answer:

Addition of this would sum up to be 40.7

Step-by-step explanation:

First simplify the fraction as in decimal form which is 0.7 then add the whole number 40. which gives you the answer...

To make it easier with bigger numbers use Desmos scientific calc. or just do it off paper.

IDC DO WHAT HELPS U BEST

Answer:

\( \hookrightarrow \: { \tt{ \frac{5}{9} \times 36}} \\ \\ = { \tt{{ \frac{5}{1} \times 4}}} \\ \\ = { \tt{ \frac{5 \times 4}{1} }} \\ \\ = { \boxed{ \tt{ \: \: 20 \: \: }}}\)

Answer:

I think its 20

Step-by-step explanation:

(5/9)*36=20

Answer:

x=-11

Step-by-step explanation:

Answer:

X = -11 Hope this helps, work will be in comments

sinusoidal curve equation 29 sin (\(\pi\)/9 x)-49

Given the graph of a sinusoidal function, we can write its equation in the form y = A·sin(B(x - C)) + D using the following steps. D: To find D, take the average of a local maximum and minimum of the sinusoid. y=D is the "midline," or the line around which the sinusoid is centered.

In the state of Michigan, the lowest average temperature of the year is in January and is about 20 °F.

The highest monthly average temperature occurs in July at 78 °F

Assume the period is 12 months and January is at the origin of the graph of this function.

sinusoidal curve equation that models the data y

Then, Graph the curve using x = 0 for January, and x = 11 for December, so that x = 12 will be the start of the next year, or end of the period.

So, using the property of sinusoidal curve equation we have

=29 sin (\(\pi\)/9 x)-49

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