The average price of a movie ticket in 20 years will be at least $6 less than seven-thirds of today’s average ticket price. What could be the price of a movie ticket in 20 years if the current average price is $8.70? (Write an inequality or equation and solve it)

Answer:

so

Step-by-step explanation:

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Tri-County will have to charge approximately $83.1 per MWh to break even.

To calculate the break-even price that Tri-County will have to charge to cover its costs, we need to consider both the fixed costs and the variable costs. The fixed costs are given as $80.1 million per year.

The variable costs are calculated by multiplying the quantity of electrical power sold (150,000 MWh per year to Boulder) by the variable cost per MWh ($20). Therefore, the variable costs amount to 150,000 MWh/year * $20/MWh = $3 million per year.

To cover both fixed and variable costs, Tri-County needs to charge a total amount that equals the sum of these costs. The total cost is $80.1 million + $3 million = $83.1 million per year.

Now, let's calculate the break-even price per MWh. Since Tri-County has a demand of 1,000,000 MWh from its customers (other than Boulder), we can divide the total cost by this quantity to find the break-even price.

Break-even price = Total cost / Quantity of electrical power demanded
Break-even price = $83.1 million / 1,000,000 MWh = $83.1/MWh

Therefore, Tri-County will have to charge approximately $83.1 per MWh to break even.

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Answer:

12.57

Step-by-step explanation:

this is because is ten more times as big as the 5 in the question

Answer:

a(n) = (-1)^n × 3^(-1+n)

In multiple regression analysis, the correlation among the independent variables is termed as d. multicollinearity.

Basically, multiple regression analysis means a statistical technique that can be used to analyze the relationship between a single dependent variable and several independent variables.

If the independent variables of the regression analysis is correlated, the it is called as multicollinearity.

Therefore, the option (d). multicollinearity is the answer

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The midsegment is equal to the average of the lengths of the bases, so:

Where:

and

Therefore:

Step-by-step explanation:

=2b+9

=2×3+9

=6+9

=15

hope it helps.

As a result, 23.2 x 0.14 equals 3.248.

One of the four fundamental math processes, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual adding of sets of identical size.

To multiply 23.2 and 0.14,

  23.2

x 0.14

---------

  32.48   (0.2 x 0.14 = 0.028, write down 8 and carry over 2)

+ 232.0   (3 x 0.14 = 0.42, add carried over 2 to get 4, write down 0 and carry over 4)

--------

 3.248   (the final answer)

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Answer:

Let's check one by one:

y + 11 > -9

-25 + 11 > -9

-14 > -9 (wrong)

y - 17 <= -46

-25 - 17 <= -46

-42 <= -46 (wrong)

30 <= y + 5

30 <= -25 + 5

30 <= -20 (wrong)

y + 20 > -30

-25 + 20 > -30

-5 > -30 (Right)

=> Last option is solution

Hope this helps!

:)

The required inequality that contains -25 in its solution is y +20 > -30.
Option D is correct.

Number of inequality is given y + 11 > -9 , y - 17≤  -46, 30 ≤ y + 5, y + 20 > -30, the inequality that contains -25 to its solution of set to be determine.

Inequality can be defined as the relation of an equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

1)  y + 11 > -9
    y >-20
It does not contain -25. in its solution set.

2)  y - 17≤  -46
     y  ≤ -29

It does not contain -25. in its solution set.

3) 30 ≤ y + 5
   25 ≤ y
It does not contain -25. in its solution set.

4) y + 20 > -30
    y  > -50
It does contain -25 in its solution.

Thus, the required inequality that contains -25 in its solution is y +20 > -30.

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Answer:

D. 1 cup

Half of 2/3 is 1/3 and 2/3 + 1/3 is 3/3 which is equal to 1 cup

hope this helps :)

Answer:

x=

\( \frac{3}{4} \)

Answer:

Fraction: x= 3/4 Decimal: x= 0.75

The series Σ n=1 to ∞ of \(n! /n^n\) converges.

To determine whether the series Σ n=1 to ∞ of \(n! /n^n\) converges or diverges, we can use the ratio test.

The ratio test states that if the limit of the absolute value of the ratio of the (n+1)th term to the nth term as n approaches infinity is less than 1, then the series converges. If the limit is greater than 1 or does not exist, then the series diverges.

Let \(a_n = n! /n^n\) be the nth term of the series. Then, the ratio of the (n+1)th term to the nth term is:

\(a_(n+1) / a_n = (n+1)! / (n+1)^(n+1) * n^n / n!= (n+1)/n * (n/n+1)^n= (n+1)/n * 1/((1 + 1/n)^n)\)

As n approaches infinity, the second term goes to 1/e by the definition of the exponential function. Therefore,

lim(n→∞) \(a_(n+1) / a_n\) = lim(n→∞) \((n+1)/n * 1/((1 + 1/n)^n)= 1/e < 1\)

Since the limit is less than 1, the series converges by the ratio test.

To explain this result, we can note that n! grows much faster than n^n as n increases. This can be seen by writing n! as a product of factors:

\(n! = n * (n-1) * (n-2) * ... * 2 * 1\)

Each factor is less than or equal to n, so we can write:

\(n!\) ≤ \(n * n * n * ... * n * n = n^n\)

Therefore, \(n! / n^n\) is always less than or equal to 1. As a result, the series converges by the ratio test.

In summary, the series Σ n=1 to ∞ of \(n! /n^n\) converges.

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The height of the rectangular prism with volume of (x⁴ + 4x³ + 3x² + 8x + 4), and base of (x³ + 3x² + 8) is x + 1 - (4 / (x³  + 3x² + 8))

An equation is an expression that shows the relationship between two or more number and variables.

Volume of prism = area of base * height

If the volume of a rectangular prism is (x⁴ + 4x³ + 3x² + 8x + 4), and the area of its base is (x³ + 3x² + 8). Hence:

x⁴ + 4x³ + 3x² + 8x + 4 = x³ + 3x² + 8 * height

height = x + 1 - (4 / (x³  + 3x² + 8))

The height of the rectangular prism with volume of (x⁴ + 4x³ + 3x² + 8x + 4), and base of (x³ + 3x² + 8) is x + 1 - (4 / (x³  + 3x² + 8))

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Answer:2

Step-by-step explanation: To solve the equation -2 1/3x = -1 3/4, we need to isolate the variable x on one side and simplify the equation.

First, we need to convert both sides to have the same denominator. We can choose the least common multiple of 3 and 4, which is 12.

-2 1/3x = -1 3/4

-2 1/3 * 4/4 * x = -1 3/4 * 3/3

-8/3 x = -5 1/3

Next, we isolate x by dividing both sides by -8/3:

(-8/3) x / (-8/3) = -5 1/3 / (-8/3)

x = (5 1/3) / (8/3)

x = (5 1/3) * (3/8)

Finally, we simplify the fraction to get the final solution:

x = (5 1/3) * (3/8)

x = (5 * 3 + 1 * 3) / 8

x = 16 / 8

x = 2

Therefore, the solution to the equation -2 1/3x = -1 3/4 is x = 2.

This statement is - true.

Two angles that lie in the same plane and have a common vertex and a common side but have no common interior points are the meaning of adjacent angles.

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The present value of the payments is smaller than the amount of the loan, so you will not be able to pay off the loan.

The present value of the payments refers to the current value of the future payments, considering the time value of money. In this case, the payments are made over a period of 8 months, and each payment is listed. To determine if the payments will be enough to pay off the credit card, we need to calculate the present value of these payments and compare it to the initial loan amount of $5,000.

Since the interest rate on the credit card is 1.5% per month, we need to discount each payment back to its present value. By discounting the payments, we can see the equivalent value of these payments in today's dollars. If the present value of the payments is equal to or greater than $5,000, it would be enough to pay off the loan. However, if the present value is smaller than $5,000, it means the payments will not be sufficient to pay off the loan.

In this case, without specific information about the discount rate used to calculate the present value, we cannot make an exact determination. However, based on the given information, which states that the present value of the payments is smaller than the amount of the loan, it suggests that the payments will not be enough to pay off the credit card debt.

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The products should be decided as a rational or an irrational number as follows;

Rational                        Irrational

-√3 × 5/8                     3.25 × 4.17

-3/5 × 6/7                     -√3 × 5/8

2/5 × √5                        -4 × 23

-1/4 × √2                        π × 4

2/3 × 1/2

In Mathematics and Geometry, a rational number is a type of number which comprises fractions, integers, terminating or repeating decimals such as the 2/3, 0.12345678901234567890.

In Mathematics, an irrational number is a type of number which comprises non-terminating or non-repeating decimals such as the square root of 11 or √11.

3.25 × 4.17 = 13.5525.

-√3 × 5/8 = -5√3/8

-3/5 × 6/7 = -18/35

-4 × 23 = -92

2/5 × √5 = 2√5/5

-1/4 × √2 = -√2/4

2/3 × 1/2 = 1/3

π × 4 = 4π

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Answer:

D

Step-by-step explanation:

290000/80000)^3 +1940 you get 1987.6 something so 1988

Answer:

I think the last you already have is right. I wasn’t very good at this but I try

Step-by-step explanation:

Answer:

the answer is (D)

Step-by-step explanation:

You can do this on the desmos graph

Using the formula for the closest integer, it is found that Alejandro is not correct, as the integer is of 48 and not 52.

The integer that has square root n is given by:

S(n) = n².

Hence the integer that has a square root closest to n is given by:

C(n) = n² - 1.

In this problem, we want the square root closest to n = 7, hence:

C(7) = 7² - 1 = 48.

Which is a different value than 52, hence Alejandro is not correct.

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Answer:

See answers below

Step-by-step explanation:

Equation of a line in point slope form is expressed as;

y-y0 = m(x-x0)

m is the slope

(x0, y0) is a point on the line

Given the line y = x

The slope of the line is 1.

The slope of the line perpendicular is M = -1

Given the point (2,2)

x0 = 2 and y 0 = 2

Substitute

Recall y-y0 = m(x-x0)

y - 2 = -1(x-2) (Point slope form)

Express in slope intercept form;

y - 2 = -1(x-2)

Make y the subject of the formula;

y -2 = -x + 2

y = -x + 2 + 2

y = -x + 4 (slope intercept form)

The general form of linear equation is expressed as the slope intercept form which is y = -x+4

let y = f(x)

f(x) = -x+4

f(x) = 4-x (Linear equation)

Answer: (n + 5)(n - 5)

Explanation: In this problem, we have a binomial that's the difference of two squares because n² and 25 are both perfect squares and we are subtracting or taking the difference of these two squares.

Since the difference of two squares factors as the product of two binomials, we can setup our parenthses and in the first position, we use the factors of n² that are the same which are n · n.

In the second position, we use +5 and -5 as our factors of -25.

So our answer is (n + 5)(n - 5).

Answer:

It changed the type of feelings that the colonists had about their King.

Step-by-step explanation:

Thomas paines common sense pamphlets was a very bold move because at that time many people didn't have a lot of say in government subjects

The effect of it was that it promoted the equality message to the colonists and as such they started thinking more about equality among themselves.

Thus, this changed the type of feelings that the colonists had about their King.

The statement "Bash is inherently incapable of floating-point arithmetic, which is why external utilities are utilized." is true.

Bash, as a shell scripting language, primarily deals with integer arithmetic and string manipulation. It does not have built-in support for floating-point arithmetic, making it difficult to perform calculations with decimal numbers. To overcome this limitation, external utilities like 'bc' (Basic Calculator) or 'awk' are often used.

These utilities provide a more versatile way to perform mathematical operations involving floating-point numbers. By utilizing these external tools, Bash scripts can be enhanced to include more complex calculations and data manipulation, expanding their capabilities beyond simple integer operations.

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Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

The accurate diagram of the end of the roof will given a side length of 6.2 cm, 6.2 cm and 8 cm.

The accurate diagram of the end of the roof is determined by constructing the given angles of the triangle and the corresponding side lengths of the triangle.

Since the base angles of the triangle are equal, the two opposite side length of the triangle must be equal.

To construct the triangular diagram of the end of the roof we will follow the steps below;

Thus, the accurate diagram of the end of the roof will given a side length of 6.2 cm, 6.2 cm and 8 cm.

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Answer:

funny

Step-by-step explanation: