Avery owns a small business selling ice-cream. She knows that in the last week 6
customers paid cash, 48 customers used a debit card, and 16 customers used a credit
card.
If next week, she is expecting 400 customers, about how many would you expect to
pay with a credit card? Round your answer to the nearest whole number.

Answer:

Step-by-step explanation:

Easy, add up all the numbers. 3.8+4.7+5.6  which is 14.1!
Finding the area is the same thing, x*x, but dividing it all by two, (x*y)/2

Answer:

14.1 cm

Step-by-step explanation:

Perimeter : sum of the sides

Answer:

34 feet

Step-by-step explanation:

let length of ladder be x

\( \ \sin(34) = \frac{17}{x} \)

\(x \sin(34) = 17\)

\(x = \frac{17}{ \sin(34) } \)

x = 32.131083564

Answer:

Step-by-step explanation:

the value of angle A (a) is approximately 42.46°.

What is Triangle?/

A triangle is a polygon with three sides and three angles. It is one of the basic shapes in geometry and has several important properties. The sum of the interior angles of a triangle is always 180 degrees. Triangles can be classified based on the lengths of their sides and the measures of their angles. The types of triangles include equilateral triangles (all sides and angles are equal), isosceles triangles (two sides and two angles are equal), and scalene triangles (no sides or angles are equal). Triangles are used in various mathematical concepts and applications, such as trigonometry, geometry, and spa tialreasoning.

To solve the triangle using the law of sines, we can use the formula:

a/sin(A) = b/sin(B) = c/sin(C)

Given:

a = 50°

b = 74°

c = 8

Let's solve for the value of angle A (a):

a/sin(A) = b/sin(B)

50/sin(A) = 74/sin(74°)

Cross-multiplying:

50 * sin(74°) = 74 * sin(A)

Dividing both sides by 74:

sin(A) = (50 * sin(74°)) / 74

Taking the inverse sine (sin⁻¹) of both sides:

A = sin⁻¹((50 * sin(74°)) / 74)

Using a calculator, we find:

A ≈ 42.46°

Therefore, the value of angle A (a) is approximately 42.46°.

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\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Exponents ans Indices.

Since we know that, something inverse is a reciprocal.

that, (a) ^-1 = 1/a and (a^m)^n = a^m*n

so applying this we get as,

Option B.

==> 4^15 . 5^10

the sum x + y is at least 20. We can achieve this lower bound by choosing x = y = 10, since then xy = 100 and x + y = 20. This is the smallest possible value of the sum, so the two positive numbers are 10 and 10.

Let x and y be the two positive numbers whose product is 100, so xy = 100. We want to find the smallest possible value of x + y.

Using the AM-GM inequality, we have:

x + y ≥ 2√(xy) = 2√100 = 20

what is numbers?

Numbers are mathematical objects used to represent quantity, value, or measurement. There are different types of numbers, including natural numbers (1, 2, 3, ...), integers (..., -3, -2, -1, 0, 1, 2, 3, ...), rational numbers (numbers that can be expressed as a ratio of two integers), real numbers (numbers that can be represented on a number line), and complex numbers (numbers that include a real part and an imaginary part).

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Answer:

C =119.32

A =1133.54

Step-by-step explanation:

UR is the radius = 19

Let pi = 3.14

The circumference is

C = 2*pi*r

C = 2 * 3.14 * 19

C =119.32

The area is given by

A = pi r^2

A = 3.14 * (19)^2

A =1133.54

Answer:

2.2

Step-by-step explanation:

To find a, you use a formula called the law of cosines:

The law of cosines tells us:

a^2 = b^2 + c^2 - 2bc cosA

So lets plug in the values:

a^2 =  4^2 + 3^2 -2(4)(3)cos(32)

a^2 = 25-24cos32

a^2 is roughly equal to 4.97

therefore a roughly equal to 2.2

Answer: The answer is A. 2.2. Hoped this helps! :)

Step-by-step explanation:

To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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The game Pip is played by taking turns counting numbers, with the player saying one number each time. Whenever the number being said is either divisible by 7 or contains the digit 7, the player should say "Pip!" instead and then change the order of the game. Pip is a very simple game that can be played by two or more players.

It is similar to other counting games like Fizz Buzz and Bizz Buzz. The game begins with a player saying "1" and then the next player saying "2," and so on. When a number that is either divisible by 7 or has the digit 7 is reached, the player should say "Pip!" instead of the number. After saying "Pip!", the player should reverse the order of the game, making the next player the one to say the next number instead of the player who would have done so otherwise.

For example, when the count reaches 7, the player would say "Pip!" instead of the number "7" and then change the order so that the next player has to say the next number. If the count reaches 14, the player should say "Pip!" instead of "14" and then reverse the order of the game. The next player would then say "13," followed by the previous player saying "12," and so on until the count reaches "8."The game can continue until a predetermined number, such as 100, is reached.

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we can express the x coordinate as tsin(t) and the z coordinate as tcos(t). This gives us the vector parametrization of the curve: x = tsin(t), z = tcos(t).

we can express the x coordinate as tsin(t) and the z coordinate as tcos(t). This gives us the vector parametrization of the curve: x = tsin(t), z = tcos(t).

The xz-plane is the plane formed by the x-axis and the z-axis. To find a vector parametrization of a curve in this plane, we need to express the x and z coordinates of the curve as functions of a parameter t. In this case, we can express the x coordinate as tsin(t) and the z coordinate as tcos(t). This gives us the vector parametrization of the curve: x = tsin(t), z = tcos(t).

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The required area of the parallelogram and pentagon is 91 unit² and 75 unit².

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

A parallelogram in is shown in figure 1 with the dimensions height = 7 and base = 13,
Area of the parallelogram  = 13 × 7 = 91 unit²

Now,
A pentagon is shown in figure 2,
Area of the pentagon = 5 [1/2 × height × side]
                                 = 5 [1/2 × 5 × 6]

                                 = 75 suqare units.

Thus, the required area of the parallelogram and pentagon is 91 unit² and 75 unit².

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The  residual value is 0.6.

The estimated value of a fixed asset at the conclusion of its useful life or lease term is known as the residual value, also known as salvage value. In lease agreements, one of the lessor's main methods for figuring out how much the lessee must pay in periodic lease payments is the residual value.

Given:

y = 1.416x − 0.76

For (7, 8):

As, residual value = Measured value - Predicted value

or, residual value = (actual y-coordinate of the point) - (value of y from the

                                                                                                       equation)

When x = 10:

So, the value of y from the equation,

\(y_1\) = 1.416 x 10 - 0.76

\(y_1\)=  14.16 - 0.76

\(y_1\)= 13.4

and, actual y-coordinate of the point, \(y_2\)= 14

Residual value = 14 - 13.4

Residual value = 14 - 13.4

Residual value = 0.6

Hence, the residual value is 0.6

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Answer:

0.6

Step-by-step explanation:

im taking the test rn

a) P(x) = 0.8x

b) A(x) = 0.8x, B(x) = x - 10

c) (()) = 0.64x, (()) = 0.8x - 10

d) deal B is the better deal

a) let the original price of the shirt = x

Clearance sale of 20% = 20% (x) = 0.2(x)

discount from clearance sale = 0.2x

The price of the shirt after the clearance discount = original price - discount from clearance sale

P(x) = The price of the shirt after the clearance discount

P(x) = x - 0.2x

P(x) = 0.8x

b) let A(x) = 20% of the shirt not factoring the clearance price

Discount = 20%(x) = 0.2(x)

A(x) = x - 0.2x

A(x) = 0.8x

B(x) = $10 off the shirt not factoring the clearance price

B(x) = x - 10

c) let (()) = price of the after clearance price is discounted for deal A

Additional discount on the clearance price for deal A = 20%(0.8x) = 0.2(0.8x)

Additional discount on the clearance price for deal A = 0.16x

(()) = P(x) - Additional discount on the clearance price for deal A

(()) = 0.8x - 0.16x

(()) = 0.64x

(()) = price of the after clearance price is discounted for deal B

Additional discount on the clearance price for deal B = $10 off

Additional discount on the clearance price for deal B = P(x) - $10

(()) = 0.8x - 10

d) If original price = $40

x = 40

substitute for x in each of the deal equations we got above:

Deal A:

(()) = 0.64x = 0.64(40)

(()) = $25.56

Deal B:

(()) = 0.8x - 10 = 0.8(40) - 10

(()) = $22

$22 < $25.56

(()) < (())

Hence, deal B is the better deal

Summary:

a) We are to write the function (also known as equation) that represents the price of the shirt after the clearance discount.

This we got as P(x) = 0.8x

b) We are to write the function that shows 20% discount on the shirt without applying the clearance discount.

This we got as A(x) = 0.8x

We are to also write the function that shows $10 off the shirt without applying the clearance discount.

This we got as B(x) = x - 10

c) We are to write the function that shows 20% discount on the shirt after the clearance sale as been applied.

This we got as (()) = 0.64x

We are to write the function that shows $10 off on the shirt after the clearance sale as been applied.

This we got as (()) = 0.8x - 10

d) We are to find the better deal between A and B if the original price of the shirt is known. Original price of shirt was given as $40.

Deal A gave the price of the shirt as $25.56

Deal B gave the price of the shirt as $22

Since the price from deal B is less than the price from deal A, deal B has a better deal

Answer:

\(m_{perpendicular}\) = \(\frac{1}{2}\)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

y + 2x = 2 ( subtract 2x from both sides )

y = - 2x + 2 ← in slope- intercept form

with slope m = - 2

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-2}\) = \(\frac{1}{2}\)

Answer:

See below

Step-by-step explanation:

See attached table

Regular polygon with n sides can map onto itself n times

It will rotate 360°/n about its center every time and will map onto itself

Examples are in the attached table

Answer:

PLATO

Step-by-step explanation:

Answer:

height = 5.4 units

Step-by-step explanation:

r = 4.5/2 = 2.25

B = πr² = 3.14(2.25²) = 15.90

V = 1/3Bh

28.63 =1/3(15.90)h

85.89 = 15.90h

h = 5.40 units

The following statements about the correlation coefficient (rho) between two variables x and y are correct: The value of rho ranges between -1 and 1. If rho = 1, it indicates a perfect positive linear relationship between x and y. If rho = -1, it indicates a perfect negative linear relationship between x and y. If rho = 0, it indicates no linear relationship between x and y.

The correlation coefficient (rho) measures the strength and direction of the linear relationship between two variables x and y. It ranges between -1 and 1. Here's an explanation of each statement:

1. The value of rho ranges between -1 and 1: The correlation coefficient is a standardized measure, and it takes values between -1 and 1, inclusive. A value of -1 indicates a perfect negative linear relationship, 0 indicates no linear relationship, and 1 indicates a perfect positive linear relationship.

2. If rho = 1, it indicates a perfect positive linear relationship between x and y: When rho equals 1, it means that the variables x and y have a perfect positive linear relationship. This means that as x increases, y also increases in a consistent manner.

3. If rho = -1, it indicates a perfect negative linear relationship between x and y: When rho equals -1, it means that the variables x and y have a perfect negative linear relationship. This means that as x increases, y decreases in a consistent manner.

4. If rho = 0, it indicates no linear relationship between x and y: When rho equals 0, it means that there is no linear relationship between the variables x and y. In other words, the variables are not linearly associated with each other.

These statements summarize the key properties of the correlation coefficient and its interpretation in terms of the relationship between two variables.

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Between 5 & 8.

\(\displaystyle {21-15\over 8-5} = 6/3 = 2\) is the largest rate of change, differentiating from \(5\over3\) and \(11\over6\)

The correct option is A, equilibrium price increases from $6 to $8.

In economics, equilibrium is a state in which the supply and demand for a product or service are balanced, resulting in a stable price. This can occur in a free market, where the price of a good or service is determined by the interaction of buyers and sellers.

Overall, equilibrium is a fundamental concept in many different fields, representing a state of balance or stability in a system or situation.

If the demand schedule changes from D2 to D1, then the demand curve shifts to the left. As a result, the new equilibrium point will be where the new demand curve (D1) intersects with the supply curve (S1).

From the table, we can see that the new equilibrium point is at a price of $8 and a quantity of 15. Therefore, the equilibrium price increases from $6 to $8, but the equilibrium quantity decreases from 15 to 13.

So the correct answer is: equilibrium price increases from $6 to $8.

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Answer:

15

Step-by-step explanation:

The Kruskal-Wallis test is a non-parametric test used to compare three or more independent groups to determine if there is a significant difference between the medians of the groups. The test statistic used in this test is denoted by the letter "H," which is calculated based on the ranks of the data.

True. The test statistic calculated in the Kruskal-Wallis test is denoted by the symbol H, not to be confused with the Shapiro-Wilk test statistic denoted by W. The Kruskal-Wallis test is a non-parametric test used to compare the median ranks of three or more independent groups. The test statistic H is calculated by comparing the between-group sum of squares to the total sum of squares. H follows a chi-squared distribution with degrees of freedom equal to the number of groups minus one. The p-value obtained from the chi-squared distribution is used to determine whether to reject or fail to reject the null hypothesis that there is no significant difference between the groups.

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In the given proof shown below, the idea of tangents and perpendicularity is used to set up a relationship between two lines, AR and BS.

The tangent is a term that is used to tell more or described as the  point of contact between a circle or an ellipse and a single line.

Based on the fact  that the tangent line is perpendicular to radius of the circle.

Hence, AR ⊥ RS and BS ⊥ RS

Therefore, AR and BS ⊥ similar to line RS.

So,  the line AR or BS are said to be either in same line or parallel. because , they are the radius of different circles.

Therefore, AR ║BS.

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Answer:

The expression (2n)(2n + 1)(4n + 1)/6 - 2n(2n + 1) + 2n is equivalent to ∑i=1 to 2n (i-1)².

Step-by-step explanation:

The expression ∑i=1 to 2n (i-1)² represents the sum of (i-1)² for values of i ranging from 1 to 2n. We can simplify and rewrite this expression using properties of summation:

∑i=1 to 2n (i-1)² = ∑i=1 to 2n (i² - 2i + 1)

= ∑i=1 to 2n i² - ∑i=1 to 2n 2i + ∑i=1 to 2n 1

Now let's evaluate each term separately:

∑i=1 to 2n i²:

This represents the sum of the squares of i for values of i ranging from 1 to 2n. This can be expressed as the formula for the sum of squares:

∑i=1 to 2n i² = (2n)(2n + 1)(4n + 1)/6

∑i=1 to 2n 2i:

This represents the sum of 2i for values of i ranging from 1 to 2n. We can factor out the 2 and use the formula for the sum of the first n positive integers:

∑i=1 to 2n 2i = 2(2n)(2n + 1)/2 = 2n(2n + 1)

∑i=1 to 2n 1:

This represents the sum of 1 for values of i ranging from 1 to 2n. Since we are summing 1 a total of 2n times, this is simply 2n.

Putting it all together, we have:

∑i=1 to 2n (i-1)² = ∑i=1 to 2n i² - ∑i=1 to 2n 2i + ∑i=1 to 2n 1

= (2n)(2n + 1)(4n + 1)/6 - 2n(2n + 1) + 2n

= (2n)(2n + 1)(4n + 1)/6 - 2n(2n + 1) + 2n

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2. The price that will maximize revenue for Yaster's Burgers is approximately $3.57 per hamburger.

3. A 2% price increase, when the current price is $3.32, will cause the revenue to decrease.

4. A 5% price increase, when the current price is $4.83, will cause the revenue to increase.

2. To find the price that will maximize revenue for Yaster's Burgers, we need to determine the price at which the derivative of the revenue function with respect to price is equal to zero.

Given the price-demand equation x + 421p = 3,006, where x represents the number of hamburgers demanded and p is the price, we can solve for x in terms of p: x = 3,006 - 421p.

The revenue function R is given by R = xp, where x is the number of hamburgers demanded and p is the price. Substituting the expression for x, we have R = (3,006 - 421p)p.

To maximize revenue, we take the derivative of the revenue function with respect to p and set it equal to zero:

dR/dp = 3,006 - 842p = 0.

Solving this equation, we find p = 3,006/842 ≈ $3.57.

Therefore, the price that will maximize revenue for Yaster's Burgers is approximately $3.57 per hamburger.

3. To determine the effect of a 2% price increase on revenue when the current price is $3.32, we need to consider the price elasticity of demand. The elasticity of demand is calculated using the formula:

E = (dQ/Q) / (dp/p),

where E is the elasticity, dQ is the change in quantity demanded, Q is the quantity demanded, dp is the change in price, and p is the price.

Given the price-demand equation x + 421p = 3,006, we can differentiate it with respect to p to find the derivative dx/dp = -421.

Using the elasticity formula, we have E = (-421p/p) * (1/x) = -421/p.

When the price is $3.32, the elasticity is E = -421/3.32 ≈ -126.81.

Since the elasticity is negative, a 2% price increase will cause a decrease in revenue.

Therefore, a 2% price increase will cause the revenue to decrease.

4. To determine the effect of a 5% price increase on revenue when the current price is $4.83, we can follow a similar approach.

Using the price-demand equation, we differentiate it with respect to p to find the derivative dx/dp = -421.

The elasticity of demand is given by E = (-421p/p) * (1/x) = -421/p.

When the price is $4.83, the elasticity is E = -421/4.83 ≈ -87.13.

Since the elasticity is negative, a 5% price increase will cause an increase in revenue.

Therefore, a 5% price increase will cause the revenue to increase.

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when we pay n pesos, then recurrence relation for all the number are in a ways to pay a bill is in this order:\(a_{n} =a_{n-1}+a_{n-2}+2a_{n-5}+2a_{n-10}+ a_{n-20}+a_{n-50}+a_{n-100}\)

A recurrence relation is an equation which represents a chain primarily based totally on a few rule. It enables in locating the following time period (subsequent time period) established upon the previous time period (preceding time period). If we recognise the preceding time period in a given series, then we will without difficulty decide the following time period.

Recurrence family members are used to lessen complex issues to an iterative procedure primarily based totally on less difficult variations of the trouble. An instance trouble wherein this technique may be used is the Tower of Hanoi puzzle. Recurrent is some thing that happens frequently or repeatedly. However, in case you are speakme approximately a recurrence relation, then you definitely have a mathematical shape which you are handling and it's miles really specific than a recursive formula. Recursion is the repeated use of a process or action.

pay 1 pesos coin , then n-1 pesos

pay 2 pesos coin , then n-2 pesos if n ≥ 2

pay 5 pesos coin , then n-5 pesos if n ≥ 5

pay 10 pesos coin , then n-10 pesos if n ≥ 10

pay 5 pesos bill , then n-5 pesos if n ≥ 5

pay 10 pesos bill , then n-10 pesos if n ≥ 10

pay 20 pesos bill , then n-20 pesos if n ≥ 20

pay 50 pesos bill , then n-50 pesos if n ≥ 50

pay 100 pesos bill , then n-100 pesos if n ≥ 100

a0=1

so i have recurrence relation as follows:

\(a_{n} =a_{n-1}+a_{n-2}+2a_{n-5}+2a_{n-10}+ a_{n-20}+a_{n-50}+a_{n-100}\)

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Answer:

128

Step-by-step explanation:

There is a common difference between consecutive terms, that is

11 - 2 = 20 - 11 = 9

This indicates the sequence is arithmetic with n th term

\(t_{n}\) = t₁ + (n - 1)d

where t₁ is the first term and d the common difference

Here t₁ = 2 and d = 9 , thus

t₁₅ = 2 + (14 × 9) = 2 + 126 = 128

Therefore, the value of tan N rounded to the nearest hundredth is approximately 0.85.

A triangle is a basic geometrical shape that is formed by connecting three non-collinear points in a plane using straight line segments. The three points are called the vertices of the triangle, and the line segments connecting them are called the sides. The angles formed between the sides of a triangle are also an important characteristic of the triangle. Triangles come in many different shapes and sizes, and they have many interesting properties and applications in mathematics, science, engineering, and other fields.

Since the opposite side of angle N is √67 and the adjacent side is √92, we can use the following formula for tangent:

tan(N) = opposite / adjacent

tan(N) = √67 / √92

We can simplify this expression by rationalizing the denominator:

tan(N) = (√67 / √92) * (√92 / √92)

tan(N) = √(67*92) / 92

tan(N) = √6164 / 92

tan(N) = 78.43 / 92

tan(N) ≈ 0.85 (rounded to the nearest hundredth)

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A simulation is a model or representation of a real-life situation or process. In this case, we can simulate the multiple-choice quiz by assigning two digits to represent correct answers and the other three digits to represent wrong answers.

To find the experimental probability of exactly one correct answer, we can simulate multiple trials of randomly guessing answers and count the number of times we get exactly one correct answer. Let's say we conduct 100 trials and record the results. We can then divide the number of trials with exactly one correct answer by the total number of trials (100) to find the experimental probability.

To find the experimental probability of exactly two correct answers, we follow the same process as above but count the number of trials with exactly two correct answers instead.

Similarly, to find the experimental probability of exactly three correct answers, we conduct multiple trials and count the number of trials with exactly three correct answers.

Remember to perform a sufficient number of trials to get a reliable estimate of the experimental probability. The more trials you conduct, the closer the experimental probability will be to the theoretical probability.

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