Suppose that the marginal cost function of a handbag manufacturer is
C'(z)=0.046875x² − z + 100
dollars per unit at production level z (where z is measured in units of 100 handbags). Find the total cost of producing 10 additional units if 2 units
are currently being produced.
Total cost of producing the additional units:
Note: Your answer should be a dollar amount and include a dollar sign and be correct to two decimal places.

\((-20, -4)\) and are all of the ordered pairings that fulfil this equation \(F = 9/5C + 32. (-10, 14)\).

Lines come in two varieties: identities and dependent equations. All possible values of the parameters result in an identity. Only certain combinations of the variables' values render a conditional equation true. Two expressions joined by the equals symbol ("=") form an equations.

Ax+By=C is the classic pattern for two-variable linear equations. A typical form linear equation is, for instance, 2x+3y=5. Finding all intercepts of a solution in this format is not too difficult. The approach additionally proves useful when trying to solve solutions combining two linear systems.

To find the missing y values, we need to substitute the given \(x\) values into the equation \(F = 9/5C + 32\) and solve for \(F\).

For the first ordered pair (-20, F1):

\(F1 = 9/5(-20) + 32\)

\(F1 = -36 + 32\)

\(F1 = -4\)

So the missing y value is \(-4\), and the complete ordered pair is \((-20, -4)\).

For the second ordered pair (-10, F2):

\(F2 = 9/5(-10) + 32\)

\(F2 = -18 + 32\)

\(F2 = 14\)

So the missing y value is \(14\), and the complete ordered pair is \((-10, 14)\).

Therefore, the complete set of ordered pairs that satisfy the equation \(F = 9/5C + 32\) is:

\((-20, -4)\) and \((-10, 14)\).

To know more about equation visit:

https://brainly.com/question/10413253

#SPJ1

The complete question is:

Given the equation

F=9,5

C+32

F=95C+32

where C is the temperature in degrees Celsius and F is the corresponding temperature in degrees Fahrenheit, and the following ordered pairs:

(−20,F1)

(−20,F1),(−10,F2)(−10,F2)

Step 1 of 2 : Compute the missing y values so that each ordered pair will satisfy the given equation.

Answer:

x^2 -4x +4

Step-by-step explanation:

(x-2)(x-2)

x^2 -2x -2x +4

x^2 -4x +4

The whisker plot with the data provided should includes a range that goes from 7 to 49, and a median of 23.

A whisker plot, also known as a box plot, is a graphical representation of a data set that shows the distribution of the data along with some important statistical information, such as the median, quartiles, and outliers. It is particularly useful for comparing the distribution of different data sets or for identifying potential outliers in a data set.

To create a whisker plot, follow these steps:

Learn more about whisker plots in https://brainly.com/question/2742784

#SPJ1

You have to apply the outside exponent to each piece inside the parentheses.

\(\begin{aligned}\left(2a^2\right)^3 &=(2)^3\cdot\left(a^2\right)^3\\[0.5em]&=8 a^6\end{aligned}\)

You have to apply the outside exponent to each piece inside the parentheses.

\(\begin{aligned}\left(2a^2\right)^3 &=(2)^3\cdot\left(a^2\right)^3\\[0.5em]&=8 a^6\end{aligned}\)

Answer:

50

Step-by-step explanation:

32/0.64 = 50

The volume of the triangular prism is 140 cubic units.

To do this, we'll use the formula:

Volume = (Base Area) × Height.

The terms in your question (8, 7, and 5) represent the base, height of the triangular base, and height of the prism, respectively.

Find the base area of the triangle.
Base Area = (1/2) × base × height of triangular base = (1/2) × 8 × 7
Calculate the base area.
Base Area = (1/2) × 8 × 7 = 28
Find the volume of the triangular prism.
Volume = Base Area × Height of the prism = 28 × 5
Calculate the volume.
Volume = 28 × 5 = 140

For similar question on triangular prism.

https://brainly.com/question/22423333

#SPJ11

Answer:

Option (2) and Option (4)

Step-by-step explanation:

From the picture attached,

Length of ladder AC = 20 feet

Height of the highest point of the ladder from ground AB = 16 ft

By Pythagoras theorem,

AC² = BC² + AB²

BC² = AC² - AB²

BC = \(\sqrt{(20)^2-(16)^2}\)

     = \(\sqrt{400-256}\)

     = \(\sqrt{144}\)

     = 12

Now, Sinθ = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}=\frac{\text{AB}}{\text{AC}}\)

                 = \(\frac{16}{20}\)

Cosθ = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}=\frac{\text{BC}}{\text{AC}}\)

         = \(\frac{12}{20}\)

tanθ = \(\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{\text{AB}}{\text{BC}}\)

        = \(\frac{16}{12}\)

Therefore, Option (2) and Option (4) are the correct options.

The equation that should be used is option 2 and option 4.

Since

Length of ladder AC = 20 feet

Height of the highest point of the ladder from ground AB = 16 ft

So here we apply the Pythagoras theorem,

AC² = BC² + AB²

BC² = AC² - AB²

So,

\(BC = \sqrt{(20)^2 - (16)^22}\\\\ = \sqrt{400 - 256}\\\\ = \sqrt{144}\)

= 12

Now

Sin θ = 16\20

Cos θ = 12\20

tan θ = 16 \12

hence, The equation that should be used is option 2 and option 4.

Learn more about an equation here: https://brainly.com/question/2611493

Answer:

We can solve this problem using the formula for the future value of an annuity:

FV = P * ((1 + r)^n - 1) / r

where FV is the future value, P is the periodic payment, r is the interest rate per period, and n is the number of periods.

In this case, we have P = $5,000, r = 0.07 (since the interest is compounded annually), and n = 30 (since the deposits are made annually for 30 years).

Plugging in these values, we get:

FV = $5,000 * ((1 + 0.07)^30 - 1) / 0.07

FV = $5,000 * 111.131

FV = $555,655.00

Therefore, you will have approximately $555,655.00 in the account after 30 years.

Answer:

The quadratic equation is in the standard form: ax^2 + bx + c = 0. To use the quadratic formula to find the solutions, we need to identify the values of a, b, and c in the equation:

a is the coefficient of the x^2 term, which is -3 in this case.

b is the coefficient of the x term, which is -5 in this case.

c is the constant term, which is 9 in this case.

Therefore, the values of a, b, and c in the quadratic equation -3x^2 - 5x + 9 = 0 are:

a = -3

b = -5

c = 9

The correct option regarding the price is C. no; The packs of socks are marked up to $7 and then discounted to $4.20.

In this situation, a shoe store buys packs of socks wholesale for $5 each and marks them up by 40%. The price will be:

= Original price + Markup

= 5 + (40% × 5)

= 5 + 2

= $7

Then, the store decides to discount the packs of socks by 40%. This will give a price of:

= 7 - (40% × 7)

= 7 - 2.8

= $4.2

The price isn't discounted to $5.

In conclusion, the correct option is C.

Learn more about price on:

brainly.com/question/1153322

#SPJ1

Answer:54

Step-by-step explanation:

Answer:

$31.67

Step-by-step explanation:

14/100x27.78= about 3.89

3.89+27.78=31.67

$31.67

The amount that Sonia will pay is $31.67.

Amount of bill = $27.78

Percentage of tip = 14%

Amount of tip = 14% × $27.78

= 0.14 × $27.78

= $3.89

Total amount to be paid will then be;

= $27.78 + $3.89

= $31.67

In conclusion, Sonia will pay $31.67.

Read related link on:

https://brainly.com/question/20480510

Based on the gross pay to Edie of $927.88, the amount contributed by Edie Social Security was $57.53 and the amount to Medicare was $13.45

The current Social Security tax rate is 6.2% which means that to find the Social Security tax that Edie will contribute will be:

= Social security tax rate x Gross pay of Edie

= 927.88 x 6.2%
= $57.52856

= $57.53

The Medicare tax rate is 1.45%. The Medicare tax can therefore be found by multiplying the gross pay by the Medicare tax rate:

= 927.88 x 1.45%

= $13.45

Find out more on Medicare and Social Security at https://brainly.com/question/19815763

#SPJ1

Answer:

7 is the answer. If a number can be divided by 36 then it can also be divided by 12 which is 3*12 therefor the remainder will be 19-12 which is 7. When 19 is divided by 36, the remainder is 19 and so 19 must be a number. When 19 is divided by 12 the remainder is 7.

Step-by-step explanation:

Answer:

(2.5,-0.5)

Step-by-step explanation:

3x-y=8

x+y=2

4x=10

x=2.5

x+y=2

2.5+y=2

y=-0.5

ANS: (2.5,-0.5)

Hello!

First, let's analyze the ordered pair in the form (x, y):

So, notice that x = 1 1/2 and y = -5. Knowing it, let's work in the cartesian plane:

According to the graph, this point will be in the fourth quadrant (because x is positive and y is negative).

At the bottom;
Correlation: r ≈ 0.988

☆
EDGE2022; Good Luck!!!

Answer:

0.25 minutes

Step-by-step explanation:

It will take 1/12 the time for the duck to fly 1/12 the distance. Therefore, it will take 3 * 1/12 minutes which is 0.25 (1/4 in fraction form).

Hope this helps :)

Answer:

Nos puedes ensenar las paginas

ola no ay páginas ?

bueno gracias por los puntos ✨

Answer:

the answer is A

Step-by-step explanation:

add 17 to both sides

Number of 20-cent coins in the box are 33.

1. Let's assume the number of 20-cent coins to be x and the number of 50-cent coins to be y.

2. We can set up two equations based on the given information:

  - x + y = 54   (since the total number of coins in the box is 54)

  - 0.20x + 0.50y = 20.70   (since the total value of all the coins is $20.70)

3. We can multiply the second equation by 100 to get rid of the decimals:

  - 20x + 50y = 2070

4. Now, we can use the first equation to express y in terms of x:

  - y = 54 - x

5. Substitute the value of y in the second equation:

  - 20x + 50(54 - x) = 2070

6. Simplify and solve for x:

  - 20x + 2700 - 50x = 2070

  - -30x = -630

  - x = 21

7. Substituting the value of x back into the first equation:

  - 21 + y = 54

  - y = 33

8. Therefore, there are 21 20-cent coins and 33 50-cent coins in the box.

For more such questions on Number, click on:

https://brainly.com/question/30752681

#SPJ8

Answer:

2362 dollars for all the students

Step-by-step explanation:

my big brain

Answer:

ya you are right okokgudcv

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

The union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}.

The union of two sets A and B is the set of all elements that are in A, or B, or both. In this case, the elements in set A are {1, 2, 3, 4, 5} and the elements in set B are {5, 6, 7, 8}.

To find the union of these sets, we simply combine all the elements from both sets but remove any duplicates.

Therefore, the answer that shows the union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}, since it contains all the elements from both sets without any duplicates.

Learn more about union of sets on:

brainly.com/question/2166579

#SPJ1

Answer:

See Picture. I made a 100.

Step-by-step explanation:

Weekly- $17253.46

Daily- $17254.01

Continuously- $17254.11

Monthly- $17251.29

Semi-annually- $17237.36

Quarterly- $17245.69

Compound interest is the addition of interest on the interest of the principal amount.

Compound interest is the addition of interest on the interest of the principal amount. It is given by the formula,

\(A = P(1+ \dfrac{r}{n})^{nt}\)

As it is given that the principal amount is $15,000; while the rate of interest is 2.8%, and the amount is invested for a period of 5 years.

A.) When the interest is charged weekly,

As we know that there are 52 weeks in a year, therefore, n = 52, substitute the values,

\(A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{52})^{52 \times 5}\\\\A = \$17,253.46\)

B.) When the interest is charged daily,

As we know that there are 365 days in a year, therefore, n = 365, substitute the values,

\(A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{365})^{365 \times 5}\\\\A = \$19,554.55\)

C.) When the interest is charged Continuously,

As we know that the formula for continuous compounding is given as,

\(A = Pe^{rt}\)

Substitute the values, we will get,

\(A = 15000 \times (e^{0.024 \times 5})\\\\A= \$16,912.45\)

D.) When the interest is charged Monthly,

As we know that there are 12 months in a year, therefore, n = 12, substitute the values,

\(A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{12})^{12\times 5}\\\\A = \$15211.23\)

E.) When the interest is charged Semi-annually,

As we know that the interest is charged Semi-annually, therefore, n = 2, substitute the values,

\(A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{2})^{2\times 5}\\\\A = \$17,237.36\)

F.) When the interest is charged Quarterly,

As we know that the interest is charged Quarterly, therefore, n = 4, substitute the values,

\(A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{4})^{4\times 5}\\\\A = \$17,245.7\)

Learn more about Compound Interest:

https://brainly.com/question/25857212