Solve for c.
4c - 3c = 14
C =

he expected value of daily revenue if 67 customers visit the shop is $507.59.

The expected value of daily revenue if 67 customers visit the shop can be calculated using the linear approximation of the conditional expectation function.

The intercept of the function is -12 and the slope is 7.77.

To find the expected value, we can substitute the number of customers, 67, into the function.

Expected value = Intercept + (Slope * Number of customers)
Expected value = -12 + (7.77 * 67)
Expected value = -12 + 519.59
Expected value = 507.59

Therefore, the expected value of daily revenue if 67 customers visit the shop is $507.59.

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Considering that the angles are opposite by the same vertex, the relationship between angles B and C is given by:

Vertical Angles.

Researching this problem on the internet, it is found that there is a vertex, and angles are diagonal, also called opposite by the same vertex. These angles are also called vertical angles, hence this is what describes the relationship between these angles.

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Answer:

total cost is $150 so the tip is $25

Step-by-step explanation:

125:100=1.25

1.25 x 20 = 25

125+25=150

Answer:

13x-4y

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The sum of the expression (3x - 7y) and (10x + 3y) is 13x - 4y.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

(3x - 7y) + (10x + 3y)

Add like terms.

3x + 10x - 7y + 3y

13x - 4y

Thus,

The sum of the expression (3x - 7y) and (10x + 3y) is 13x - 4y.

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Answer:

W={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15............}

Step-by-step explanation:

Answer:

a=( 0,1,2, 3, 4, 5, 6, 7, 8,9, 10,11, 12, 13, 14,) is the correct answer right

The statement 'When you try to find the most appropriate input probability distribution in a simulation model, you first have to choose the most appropriate family, and then you have to select the most appropriate member of that family' is generally true because in simulation modeling, input probability distributions are used to represent uncertain or random factors in the system being modeled.

These distributions are often classified into different families, such as normal, exponential, uniform, and so on, based on their properties and mathematical characteristics.

When selecting an appropriate distribution for a simulation model, it is important to first identify the family of distributions that best represents the underlying random process being modeled.

For example, if the data is symmetric and bell-shaped, then the normal distribution might be a suitable family to consider. However, if the data is non-negative and skewed, then the exponential or gamma distribution might be more appropriate.

Once the appropriate family of distributions is selected, the next step is to identify the most appropriate member or parameter values of that family that best fit the data being modeled.

This often involves using statistical methods to estimate the parameters of the distribution based on historical data or expert knowledge.

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Answer:

Step-by-step explanation:

Follow PEMDAS

1st: P = Parenthasees

-4x + 29 -x = 2x - 34

E = exponents we dont have any

M = multiplication nope

D = division we dont have any

A = addition

We have to combine like terms

-5x = -63

divide

12.6

Your welcome!

Answer:

Total cost = $5h + $3s

Step-by-step explanation:

total cost of hot dog = price of hot dog x quantity of hot dog = 5 x $h

total cost of softdrink = price of softdrink x quantity of softdrink = $3s

total cost = $5h x $3s

Answer:

1. 5.2 / 2 = 2.6 cm

2. Since 2 angles are congruent the answer is AA.

Answer: U = 18

Step-by-step explanation:

U in (-oo:+oo)

U/(-6)+2 = -1 // + 1

U/(-6)+1+2 = 0

3-1/6*U = 0 // - 3

-1/6*U = -3 // : -1/6

U = -3/(-1/6)

U = 18

U = 18

Answer:

-3 (-6u+6) - u = 2 (u-6) - 1​

18u -18 -u = 2u -12 -1

18u-u-2u=-12-1+18

15u= 5

u =5/15 = 1/3

Step-by-step explanation:

Answer:

I'm assuming when you say the total of $504 you mean just between Josh and his sister? If so, Josh earned $216 and his sister earned $288

Step-by-step explanation:

Set each person in terms of X. If Josh's sister earned $93 dollars more than her mom, set the equation as (x+93). Since Josh earned $72 less than his sister, he essentially earned 21 dollars more than his mom (x+21). Add those two equations together and set them equal to $504 dollars. Solve for X and solve each equation individually with your answer to find how much each earned.

When the point (-1/2, y) lies on the line with the equation 2x - 3y = 6, the value of y is -7/3.

To find the value of y when the point (-1/2, y) lies on the line with the equation 2x - 3y = 6, we can substitute the x-coordinate of the point into the equation and solve for y.

Let's substitute x = -1/2 into the equation:

2(-1/2) - 3y = 6

Simplifying:

-1 - 3y = 6

Next, we can isolate the term with y:

-3y = 6 + 1

-3y = 7

Finally, we can solve for y by dividing both sides by -3:

y = 7 / -3

This simplifies to:

y = -7/3

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Answer:

Ratio=  7:9

Step-by-step explanation:

What is the ratio of angelfish to  seahorses?

14 angel fish : 18 seahorses

14:18 = 7:9

Answer:

5/4 divided by 36?

= 5/144

Answer:

let ratios be (x)

5x+4x=36

9x=36

9x=36

x=4

Step-by-step explanation:

The lion is the second fastest land animal in all of Africa, reaching a top speed of 81 km/h (50.3 mph). The lion can consider itself faster than other animals, only being outpaced by the cheetah, which can achieve an astounding 120 km/h (74 mph).

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x=5/3

x=-4

This is simple just rearrange and sub into quadratic formula. The formula will spit out two answers and those are your final answers. Enjoy!

A condition that is impossible to satisfy has no solution.

Mathematics can be a powerful tool for solving many problems, but there are some issues that can't be solved.

In particular, any condition that is impossible to satisfy, such as the logical statement ‘this statement is false’, has no solution in mathematics. This is because the statement can’t be proven true or false, and so it can’t be solved.

An unsolvable condition is one that cannot be solved using any combination of logical and mathematical steps.

This means that no matter how much time and effort is put in, a solution to the problem cannot be discovered.

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The value of y based on the information given in the triangle is 5.5cm.

It should be noted that based on the information, A + B + C = 180°. This is the sum of angle in a triangle.

A + 120 = 180

A = 180 - 120

A = 60

A / sin A = B / sin B = c / sin c

x / sin 60 = 11 / sin 90 = y / sin 30

11 / sin 90 = y / sin 30

y = 11 sin 30 / sin 90

y = 5.5cm

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Based on the length of the ribbon, and the length of the pieces Janice needs to make, the number of 3/8 foot pieces she can make would be

To find the number of pieces that Janice can get from the 7/8 foot ribbon, you need to divide this length by the length of each piece of ribbon.

The length of each of these pieces is 3/8 so the number of pieces of ribbon that Janice can get from the 7/8 foot ribbon is:

= 7 / 8 ÷ 3 / 8

= 7 / 8 x 8 / 3

= 56 / 24

= 2.33 ribbons

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Janice can make 2 pieces of ribbon from 7/8 feet of ribbon each measuring 3/8 feet.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Janice is cutting the ribbon to decorate a present. She has 7/8 feet of ribbon.

She needs to make pieces that are 3/8 feet each.

To obtain the no. of pieces we have to divide the total length of the ribbon by the length of each piece.

∴ (7/8)/(3/8).

= (7/8)×(8/3).

= 7/3 pieces.

But he can only make 2 pieces as pieces must be in integers.

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Answer:

(68.37-(3*1.29))/3 = $21.5

Step-by-step explanation:

S it would be: (68.37-(3*1.29))/3 for each video game.

And it would cost$ each. 21.5

9514 1404 393

Answer:

  x = 14.4

Step-by-step explanation:

The product of segment lengths for each chord is the same.

  8·36 = x·20

  x = 8·36/20 . . . . divide by 20

  x = 14.4

_____

Additional comment

There are a couple of relationships involving lengths of chords and secants. I consider each to be a specific case of the general rule that the product of segment lengths from the point of intersection to its two circle intercepts is the same for each chord/secant/tangent.

When the point of intersection is inside the circle, as here, the two lengths are those that extend either side of the point of intersection. When the point of intersection is outside the circle, then the segments of interest are the short one that intersects the circle at a near point, and the longer one that intersects the far side of the circle.

Yet another special case of the intersection point being outside is the case where the two intercepts are identical—the "secant" is a tangent. In that case, the tangent length is squared (multiplied by itself).

Personally, I find the general rule easier to remember than all of the special cases.

Answer: $48,366.78

Step-by-step explanation:

3000(1+0.04/4) 4t

The function is A = 30,000(1+0.04/4)^(4t) and the compound interest is $18,366.78 if the interest is compounded quarterly.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

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

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

Here P = $30,000

r = 4% = 0.04

n = 4

t = 12

The function of this situation:

\(\rm A = 30,000(1+\dfrac{0.04}{4})^{4t}\)

Plug t = 12 in the above function.

\(\rm A = 30,000(1+\dfrac{0.04}{4})^{4\times12}\)

A = $48,366.78

So compound interest CI = 48,366.78 - $30,000

CI = $18,366.78

Thus, the function is A = 30,000(1+0.04/4)^(4t) and the compound interest is $18,366.78 if the interest is compounded quarterly.

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The above question is a mathematical proof of the relationship between Lines and angles related to a Rhombus. See the proof below.

We know,

A Rhombus is a parallelogram with four sides (that is a quadrilateral). It's sides however are all of equal length.

we have,

∠DEC ≅ ∠BFC  Reason = All Right Angles with Equal dimensions are congruent.

∠C ≅ ∠C  Reason = It is the same angle for the two Right angles above which are congruent, hence Reflexive Property.

Δ DEC ≅ Δ BFC  Reason = Angle Angle Side. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

 ≅   Reason = The corresponding parts of congruent triangles are congruent. Also, it is a parallelogram with all congruent sides.

ABCD is a Rhombus Reason = Its sides are all congruent.

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complete question:

Given: ABCD is a parallelogram, FC is congruent to EC, DE bisects BC and BF bisects DC Prove: ABCD is a rhombus

The polar curve r = -2 sin θ can be graphed by first plotting the graph of r as a function of θ in Cartesian coordinates. To do this, we can set r = y and θ = x, and then plot the resulting equation y = -2 sin x.

This graph will have the shape of a sinusoidal wave with peaks at y = 2 and troughs at y = -2.
To sketch the same polar curve in Cartesian form, we can use the conversion equations x = r cos θ and y = r sin θ. Substituting in the given polar equation, we get x = -2 sin θ cos θ and y = -2 sin² θ. Simplifying these equations, we get x = -sin 2θ and y = -2/3 (1-cos² θ). This graph will have the shape of a four-petal rose.
The graphs from Part (a) and Part (b) are different because they represent different equations. Part (a) is the graph of y = -2 sin x, which is a sinusoidal wave. Part (b) is the graph of a four-petal rose. However, both graphs share some similarities in terms of their shape and symmetry. They are both symmetrical about the origin and have a repeating pattern.
In conclusion, we can sketch a polar curve by first graphing r as a function of θ in Cartesian coordinates and then converting it to Cartesian form. The resulting graphs may look different, but they often share similar patterns and symmetries.

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Answer:

congruent

Step-by-step explanation:

90+90=180

so not 0 or 270

and complementary means they add up to 90 and none of that is true

so it has to be congruent

The multiplication of 0.03 and $385.72, rounded to the nearest penny, equals $11.58.



To calculate the result of 0.03 multiplied by $385.72 and round it to the nearest penny, follow these steps:

Step 1: Multiply 0.03 by $385.72:

0.03 * $385.72 = $11.5716

Step 2: Round the result to the nearest penny:

Since the third decimal place is 7, we round up the previous digit, which is 1.

The rounded result is $11.58.

Thus, the answer, rounded to the nearest penny, is $11.58.

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The equation for the asymptote of the graphed function is x = 7

The asymptote is a endlessly tendency to a given value. A vertical one is a tendency to infinity.

Here we can see that there is a vertical asymoptote, notice that in one end the function tends to positive infinity and in the other it tends to negative infinity.

The equation of the line where the asymptote is, is:

x = 7

So that is the answer.

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a. The monthly payment would be $1,061.76.

b.  Total amount paid would be $382,636.16.

c. The cost of the loan would be $195,136.16.

A mortgage is a type of loan used to purchase a property or real estate. The borrower (in this case, Brody) uses the property as collateral for the loan, and makes monthly payments to the lender (usually a bank or mortgage company) to repay the principal (the amount borrowed) plus interest. Mortgages typically have a fixed interest rate, meaning the interest rate stays the same over the life of the loan, and a fixed term, typically 15 or 30 years.

a. To calculate the monthly payment for Brody's loan, you would use the formula for a fixed-rate mortgage, which is:

M = P [ i(1 + i)ⁿ ] / [ (1 + i)ⁿ ⁻ ¹]

Where M is the monthly payment, P is the principal (the amount borrowed), i is the interest rate (expressed as a decimal), and n is the number of payments (in this case, 30 years x 12 months/year = 360 payments).

Plugging in the numbers, the monthly payment would be:

M = $187,500 x [0.03875(1 + 0.03875)^360] / [(1 + 0.03875)³⁶⁰ ⁻ ¹]

M = $1,061.76

b. To calculate the total amount paid, you would multiply the monthly payment by the number of payments:

Total amount paid = $1,061.76 x 360 = $382,636.16

c. The cost of the loan is the total amount paid minus the amount borrowed:

Cost of the loan = $382,636.16 - $187,500 = $195,136.16

The complete question is shown below.

Brody's new home had a purchase price of $187,500. He got a 30-year fixed mortgage for 95% of the purchase price. The interest rate on the loan is 3.875%.

a. What is his monthly payment for the loan?

b. What is the total amount paid?

c. What is the cost of the loan?

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