Yoko needs 300 copies of her resume printed. Dakota Printing charges 19.50$ for the first 200 copies and 9$ for every 100 additional copies. If the number of sets of 100 resumes is represented by r, express the cost of the resumes c(r) algebraically as a piecewise function How much will 300 copies cost including a sales tax of 4 1/2%? Round to the nearest cent.

Answers

Answer 1

Answer:

29.79 should be the answer

Step-by-step explanation:

200 copies 19.50 + 9.00 for 100 copies = 28.50 + 4% = 29.79

Answer 2

The cost of the resumes c(r) algebraically as a piecewise function will be: c(r)=$19.5 if r < 2 and  =$29.78 is the cost of 300 copies including a sales tax of 4 1/2

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

Dakota Printing charges 19.50$ for the first 200 copies and 9$ for every 100 additional copies.

Let r be the  number of sets of 100 resumes.

c(r)=$19.5 when r represent an integer and is less than 2

c(r)=$19.5+(r-2) ($9) (1+0.045)

c(r)=$19.5+(r-2) ($9) (1.045) when r represent an integer and is greater than 2

the cost of the resumes c(r) algebraically as a piecewise function will be: c(r)=$19.5 if r < 2

c(r)=$19.5+(r-2) ($9) (1.045) if r ≥ 2

Cost of 300 copies=($19.5+$9)+($19.5+$9) (0.045)

=$28.5+$28.5(0.045)

=$28.50+$1.28

=$29.78

Hence, the cost of the resumes c(r) algebraically as a piecewise function will be: c(r)=$19.5 if r < 2 and  =$29.78 is the cost of 300 copies including a sales tax of 4 1/2

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Related Questions

Round 503.782 to the nearest tenth.

Answers

Answer:

503.8

Step-by-step explanation:

Since the hundredths place is above 4, you round up.

Answer:

503.8

Step-by-step explanation:

Note the tenth place value.

5 (hundreds place value)

0 (tens place value)

3 (ones place value)

.

7 (tenths place value)

8 (hundredths place value)

2 (thousandths place value)

You are trying to solve for the tenths place value. In this case, locate the tenths place value. The value is a 7. Now look at the place value directly next to it (hundredths place value). It is a 8. Because 8 is greater than 4, round up.

503.782 rounded to the nearest tenths is 503.8

Note:

Note the rules of rounding. IF:

The number is 4 or less, round down.

The number is 5 or greater, round up.

~

Isabelle has $5.45 in her purse. If she has five more nickels than dimes, and twice as many quarters than dimes, how many of each type of coin does she have?

Answers

Answer:

Nickel = 13

Dimes = 8

Quarters = 16

Step-by-step explanation:

Let N denote Nickel,

Let D denote dime

Let Q denote quarter

Now, from online conversions;

1 nickel = 5 cents

Also, 1 dime = 10 cents

Also, 1 quarter = 25 cents

Isabelle has $5.45 which is also 545 cents.

Thus, we have;

5N + 10D + 25Q = 545 - - - (eq 1)

We are told that;

she has five more nickels than dimes, and twice as many quarters than dimes.

Thus;

N = D + 5

Also, Q = 2D

Plugging them for N and Q in eq 1 givens;

5(D +5) + 10D + 25(2D) = 545

5D + 25 + 10D + 50D = 545

25 + 65D = 545

65D = 545 - 25

65D = 520

D = 520/65

D = 8

Thus; N = D + 5 = 8 + 5 = 13

Q = 2D = 2 × 8 = 16

1
1. Sally walked two-thirds of a mile for 9 days in a row. Use the model below to determine how far she
walked in 9 days?

Answers

Answer:

she walked 6 miles in the 9 days

BRAINLIEST IF CORRECT its easy but i think a b or d mostly b for some reason i need to see if im correct
Reflect the point (-12, -3) over both axes.
A.(12, -3)
B.(-12, 3)
C.(12, 3)
D.(3, 12)

Answers

Answer:

Actually it’s d

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

please help me please will give brainliest
multiple questions ​


please will give brainliest

Answers

Answer:

A. less than three batteries were used in five hours.

Answer:

a

Step-by-step explanation:

Kim drove k miles to see her family. Tran drove 3 times as far as Kim to get to his family's city, plus another 28 miles to get to their house. Which expression represents the number of miles Tran drove?

Answers

Answer:

[tex]3k+28[/tex] miles

Step-by-step explanation:

We are given that

Kim drove distance to see her family=k miles

We have to find the expression which represents the number of miles Tran drove.

According to question

3 times of k=3k

Now, adding 28 to 3k

Therefore, the expression is given by

3k+28

Hence, the expression which represents the number of miles Tran drove

[tex]3k+28[/tex] miles

Solve each system by eliminati 1) 10x - 4y = 24 7x - 4y= 12​

Answers

Answer:

Step-by-step explanation:

10x - 4y=24

7x -4y=12 multiply this equation by -1

-7x+4y=-12 we add it to the first and we get

3x=12

x=12/3=4

replace x with 3 in first equation

40-4y=24

40-24=4y

16=4y

y=4, x=4

Ten out of every 32 people surveyed play Among Us. What percent of people surveyed play Among Us?

Answers

Answer:

31.25%

Step-by-step explanation:

Hope this helps

Answer:

31.25%

pls give brainliest

Step-by-step explanation:

Lin ran 2 3/4 miles in 2/5 of an hour. How long would it take Lin to run 1 mile at that rate?

Answers

it will approximately take Lin 8.7 minutes to run a mile.

y is such that 4y - 7 ≤ 3y and 3y ≤ 5y + 8.

A. What range of values of y satisfies both inequalities?

B. Hence express 4y - 7 ≤ 3y ≤ 5y + 8 in the form a ≤ y ≤ b, where a and b are both integers.​

( I will give brainliest to whoever answers correctly)

Answers

Answer:

-4 ≤ y ≤ 7

Step-by-step explanation:

Inequalities

Solve the system of inequalities:

4y - 7 ≤ 3y       [1]

3y ≤ 5y + 8       [2]

A.

Subtracting 3y to [1]:

y - 7 ≤ 0

Adding 7:

y ≤ 7

Subtracting 5y to [2]:

-2y ≤ 8

Dividing by -2 (and flipping the sign):

y ≥ -4

The solution of the system is all the values of y greater or equal to -4 and less or equal to 7.

B.

The solution can be expressed as:

-4 ≤ y ≤ 7

please help me! its algebra 1

Answers

The answer is D-16

16/4= 4. 4x3=12. 12-2=10

Answer:

16

Step-by-step explanation:

Let us take the number be x . So the three fourths of the number will be , ¾ x . And this is equal to 10. So , According to Question ,

⇒ 3x/4 -2 = 10

⇒ 3x/4 = 10 + 2

3/4 x = 12

⇒ x = 12 * 4/3

x = 16 .

Hence the required answer is 16 . [ d]

1) 3r² – 2r=-9
Quadratic formula

Answers

Answer:

Solving the equation [tex]3r^2-2r=-9[/tex] using quadratic formula we get: [tex]\mathbf{ r=\frac{1+\sqrt{26}\:i}{3}\:or\: r=\frac{1-\sqrt{26}\:i}{3}}[/tex]

Step-by-step explanation:

We need to solve the equation [tex]3r^2-2r=-9[/tex] using quadratic formula.

The quadratic formula is: [tex]r=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

For the given equation: [tex]3r^2-2r=-9[/tex]

We can write it as: [tex]3r^2-2r+9=0[/tex]

We have a = 3, b= -2 and c=9

Putting values in quadratic formula and finding value of r

[tex]r=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\r=\frac{-(-2)\pm\sqrt{(-2)^2-4(3)(9)}}{2(3)}\\r=\frac{2\pm\sqrt{4-108}}{6}\\r=\frac{2\pm\sqrt{-104}}{6}\\We\:know\:that: \sqrt{-1}=i\\ r=\frac{2\pm\sqrt{26} \:i}{6}\\ r=\frac{2+2\sqrt{26}\:i}{6}\:or\: r=\frac{2-2\sqrt{26}\:i}{6}\\ r=\frac{2(1+\sqrt{26}\:i)}{6}\:or\: r=\frac{2(1-\sqrt{26}\:i)}{6}\\ r=\frac{1+\sqrt{26}\:i}{3}\:or\: r=\frac{1-\sqrt{26}\:i}{3}[/tex]

So, solving the equation [tex]3r^2-2r=-9[/tex] using quadratic formula we get: [tex]\mathbf{ r=\frac{1+\sqrt{26}\:i}{3}\:or\: r=\frac{1-\sqrt{26}\:i}{3}}[/tex]

6) The weights of five students are as follows. Find their
median weight.
48kg, 59kg, 43kg 63kg, 52kg​

Answers

Answer:

52kg

Step-by-step explanation:

If you put the numbers in order from least to greatest you get:

43, 48, 52, 59, 63. The median is the one in the middle. So you get 52 is the median

Answer:

Hey here's ur answer

Step-by-step explanation:

Hope it helps

In the equation z= x/y – y/x, take x as the numbers given below find number z.
X= -5 ,y=10
X= -6 ,y=2
X= 6 ,y=2

Answers

X= -5 ,y=10  : Z = 1.5

X= -6 ,y=2  : Z = -2.6 (goes on forever so put the line over the 6)

X= 6 ,y=2 : Z = 2.6 (again goes on forever so put the line over the 6)

20,000 is ten times as much as

Answers

20,000 divided by 10 is 2,000.

Answer:

20,000 is ten times as many as 2,000

Hope this helps

Step-by-step explanation:

4x = -12.
What is x?

Answers

Answer:

x=-3

Step-by-step explanation:

x=-12/4 divide both sides by 4

Answer:

x = -3

Step-by-step explanation:

Let's solve your equation step-by-step.

4x=−12

Step 1: Divide both sides by 4.

4x/4 = -12/4

x=−3

What is 8/12-4/8 = reduced to its lowest terms

Answers

Answer:

2/3-1/2

Step-by-step explanation:

#/#/$^%/£'fcjcutyfyi

The solution is: 2/3 - 1/2  is reduced to its lowest terms of 8/12-4/8.

What is division?

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

given that,

8/12-4/8

now, we have to reduced to its lowest terms.

so, we have,

8/12 to get the reduced form , we have to divide both side by 4,

we get, 8/12 = 2/3

similarly, 4/8 = 1/2

so, we get,

8/12-4/8

=2/3 - 1/2

= reduced to its lowest terms

Hence, 2/3 - 1/2  is reduced to its lowest terms of 8/12-4/8.

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I will Give Brainliest!!! √25y⁸ Can someone help me with the answer please.​

Answers

Answer:

5y^8

Step-by-step explanation:

Simplifies to:

5y^8

=5*y^8

=5*(y*y*y*y*y*y*y*y)

=5y^8

At a dinner, the meal cost $22 and a sales tax of $1.87 was added to the bill.

1. How much would the sales tax be on a $66 meal?


2. What is the tax rate for meals in the city?

Answers

Answer:

1- 5.61

2- 8.5%

Step-by-step explanation:

1.87/22= .085

.085 x 66= 5.61

Solve for x in simplest form.

2= 1/2 (5x-8)

Answers

Answer:

x = [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

Given

2 = [tex]\frac{1}{2}[/tex] (5x - 8) ( multiply both sides by 2 to clear the fraction )

4 = 5x - 8 ( add 8 to both sides )

12 = 5x ( divide both sides by 5 )

[tex]\frac{12}{5}[/tex] = x

A baker needs to sell more than 25 loaves of bread to make a profit. The baker has already sold 17 loaves of bread. The baker still
needs to sell b more loaves of bread,
Which inequality can be used to find the possible values for b?

A) b+17<_ 25

B)b-17>25

C)b+17>25

D)b-17<_25

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

What are the solutions?

Answers

Answer:

2x=√10+5

2x+√15=0

2x-√15=0

2x=√10+5

2x+√10+5=0

2x=√10+5

The guy above me gave it too you

An airplane flying from los angeles to NYC losess both engines and all steering controols at 10,000 ft of altatude it falls at a constant rate of 500 ft per minute medical staff need to know when this plane will crash

Please hurry if you answer ill mark you brainlest!!!

Answers

Answer:

20 min i hope this answers helps u

Step-by-step explanation:

10000÷500=20

You are using a magnifying glass that shows the image of an object that is six times the object's actual size. Determine the length of the image of the termite seen through the magnifying glass.

Answers

Answer:

3 inches

Step-by-step explanation:

Typical length of a termite is 1/2 inch

[tex]Lenght \ seen \ through\ magnifying\ glass=\frac{1}{2}(6) =3[/tex]

The length of the image of the termite seen through the magnifying glass is 3 inches.

What is magnifying glass?

A convex lens is used in a magnifying glass to provide an enlarged image of an object. Typically, the lens is fixed inside of a frame with a grip. You can use a magnifying glass to focus light, for example, to concentrate the sun's radiation and create a hot spot at the centre to start a fire.

Given that you are using a magnifying glass that shows the image of an object that is six times the object's actual size.

The length of the image of the termite seen through the magnifying glass will be calculated as,

Length = (1 / 2 ) x 6

Length = 3 inches

Therefore, the length of the image of the termite seen through the magnifying glass is 3 inches.

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11 - 2x = 45
what are the steps to this

Answers

Answer:

x = -17

Step-by-step explanation:

11 - 2x = 45

We first want to subtract 11 from both sides, so that we have the variable and it's factor on its own side. Making the equation:

-2x = 34

Next, we are going to divide each side by the variables' factor, which in this case is -2. However, there is a slightly longer way to do this, but when you're doing it by hand, it is much easier. I will be showing that way below.

So, instead of dividing either side by -2, we are going to divide both sides by 2. Giving us:

-x = 17

This next step is easy peasy. Since the negative is on the variables side and we need the variable to be positive, we just switch the position of the negative to the numerical side. Shown below.

-x = 17

to

x = -17

So, our final answer is x = -17

Hope this helps!

Answer:

Step-by-step explanation:

Solution

11 - 2x = 45

or, 2x=11-45

or, 2x=-34

x=-17

Hope it helped you!!

Which is the same as dividing a number by 10?


a. Move the decimal one place to the left.
b. Move the decimal one place to the right.
c. Move the decimal two places to the left.
d. Move the decimal two places to the right.

PLZZZ help ASAP tysmm!!

Answers

Answer:

move decimal one place to the left i think!

Answer:

Step-by-step explanation:

That answer is really simple the answer to the is move decimal one place to the left

3. Below is Linbell's weekly work
schedule. If he works for 18 weeks, how
many days does he work?
A-40 days
B-42 days
C-72 days
D-80 days

Answers

Answer:

72

Step-by-step explanation:

so he is working 4 day in a week

and 4 day times 18 weeks =18x4=72

£806 is put into a bank account which earns simple interest at 17.8% per annum. Find the amount of money in the account after 4 years.

Answers

Step-by-step explanation:

✑ [tex] \underline{ \underline{ \text{Given}}} : [/tex]

Principal ( P ) = £ 806Rate ( R ) = 17.8 %Time ( T ) = 4 years

✏ [tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

Total amount of money in the account

☞ [tex] \underline{ \underline{ \text{Solution}}} : [/tex]

First , Finding the interest :

[tex] \boxed{ \sf{Interest = \frac{PTR}{100}}} [/tex]

⇢ [tex] \sf{ \frac{806 \times 4 \times 17.8}{100}} [/tex]

⇢ [tex] \sf{ \frac{57382.2}{100}} [/tex]

⇢ [tex] \sf{£ 573.872}[/tex]

Now , Finding the total amount :

[tex] \boxed{ \sf{Amount = Principal + Interest}}[/tex]

⇢ [tex] \sf{806 + 573.872}[/tex]

⇢ [tex] \sf{ £ 1379.872}[/tex]

[tex] \pink{ \boxed{ \boxed {\tt{Our \: final \: answer : \boxed{ \tt{ £ 1379.872}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

A side of the triangle below has been extended to form an exterior angle of 146°. Find
the value of x.
146°
.

Answers

Answer:

The measure of angle x° = 34°.

Step-by-step explanation:

It is given that a

We know that side of the triangle below has been extended to form an exterior angle of 146°.

It is clear that  x° and 146° are adjacent angles.It is clear that x° and 146° lie on a straight line.

We know that a straight line makes a straight angle of 180°.

Thus,

The sum of x° and 146° must be 180°.

x° + 146° = 180°

subtract 146° from both sides

x° + 146° -  146°  = 180° - 146°

x° = 34°

Therefore, the measure of angle x° = 34°.

I WILL GIVE BRAINLIEST TO THE FIRST ONE RIGHT!
This is a simple problem.
One circle labeled likes 13 overlaps another circle labeled male 16. The overlap is labeled 6. A 4-column table with 3 rows. The first column has no label with entries female, male, total. The second column is labeled likes with entries a, c, 19. The third column is labeled dislikes with entries 15, 16, e. The fourth column is labeled total with entries b, d, 50.
A group of 50 people were asked their gender and if they liked cats. The data from the survey are shown in the Venn diagram.

Determine the value for each variable in the two-way table.

a =

b =

c =

d =

e =
Please give me the right answer!

Answers

Answer:

E = 15 +16 = 31

6 males like cats ( the middle section) so C = 6

d = 6 +16 = 22

a = 19-6 = 13

b = 50-22 = 28

so in order: a = 13, b = 28, c = 6, d = 22, e = 31

Step-by-step explanation:

The required value for each variable in the two-way table is given as, a = 13, b = 28, c = 6, d = 22, and e = 31.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

From the table,

e = 15 + 16 = 31

At the middle of the table, c = 6 {6 males like cats}

d = 6 + 16 = 22

a = 19 - 6 = 13

b = 50 - 22 = 28


Thus, the required value for each variable in the two-way table is given as, a = 13, b = 28, c = 6, d = 22, and e = 31.

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