the inaugural attendance of an annual film festival is 20,000. The attendance y increases by 5% each year
A. write a function that represents the attendance after t years.
B. about how many people will attend the festival in the fifth year?

Answers

Answer 1

A. A function that represents the attendance after t years can be written as y = 20,000(1 + 0.05t)

What does a math function mean?

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

This function represents the initial attendance of 20,000, multiplied by 1 + 5% increase each year (0.05) times the number of years (t).

B. To find out about how many people will attend the festival in the fifth year, we can substitute t = 5 into the function.

y = 20,000(1 + 0.05 * 5)

y = 20,000(1 + 0.25)

y = 20,000(1.25)

y = 25,000

So, approximately 25,000 people will attend the festival in the fifth year.

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Related Questions

It snowed 3 inches each day for a week. By
the next Monday, 6 inches had melted away.
How many inches of snow were still on the
ground?

Answers

Answer:

3 × 7 = 21

21 - 6 = 15

15 is the answer

15 is the correct answer!

Simplify. Negative square root of 16y^2 if y<0

Answers

Answer:

The square root means that IF you square the square root, you will get the original number. Thus, 16 squared = 256 and y^2 squared = (y^2)(y^2) = y^4

Step-by-step explanation:

-|-5| what is the absolute value

Answers

Answer:

-5

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

negative times negative equals positive

What if I only know the length of the shorter side consider the triangle equilateral triangle than determine the values of n and m without using a calculator

Answers

Answer: An equilateral triangle is a three-sided polygon with three equal sides and three equal angles of 60 degrees each. If you know the length of one of the sides of an equilateral triangle, you can use the formula for the area of an equilateral triangle to determine the values of n and m. The formula for the area of an equilateral triangle is:

Area = (sqrt(3)/4) * s^2

where s is the length of one of the sides of the triangle.

To determine the values of n and m, you can rearrange the formula to solve for s. For example, if you know that the area of the triangle is n and the value of m is the length of one of the sides of the triangle, you can rearrange the formula to solve for s:

s = sqrt(4n/sqrt(3))

Then, you can use the value of s to determine the value of m.

Step-by-step explanation:

In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 12 times out of 15 attempts. Tasha has hit the ball 9 times out of 10 attempts. Which player has a ratio that means they have a better batting average? Tasha, because she has the lowest ratio since 0.9 > 0.8
B) Tasha, because she has the highest ratio since 27 over 30 is greater than 24 over 30
C) Jana, because she has the lowest ratio since 0.9 > 0.8
D) Jana, because she has the highest ratio since 27 over 30 is greater than 24 over 30

Answers

Step-by-step explanation:

as the description says, the higher the ratio the better.

9/10 = 0.9

12/15 = 4/5 = 0.8

so, Tasha has the better batting average, as she has the higher ratio.

9/10 = 27/30

12/15 = 24/30

27/30 is higher than 24/30.

Please help will mark Brainly

Answers

Answer:

which of the following is not a true statement 4/6 equals 8/12 2/3 equals 10/15 2/10 equals 3/15 3/4 equal 6/9

Step-by-step explanation:

What is the reciprocal of 1 4/13

Answers

Answer:

[tex]\frac{13}{17}[/tex]

Step-by-step explanation:

just a tip use math-way in the future it's always been great

Hope this helps!

13/4 it’s just flipped

Which problem situation matches the
equation $95.25 = 15p?
A Cassie is paid $95.25 for 15 hours
of work. Find p, the amount she
was paid per hour.
B Kris is paid $6.35 per hour for
mowing the lawn. Find p, the
amount he is paid for 15 hours of
mowing.
CA iPad was on sale for $95.25. Find
p, the amount Noah needs to buy
the iPad if he already has $15.
D Fifteen friends spend $95.25 each
for tickets to a Cowboy's game.
Find p, the amount they paid total.

Answers

Answer:

Step-by-step explanation:

Which problem situation matches the

equation $95.25 = 15p?

So We Can Just Cross B Cause $6.35 Wasnt Even In The equation

Lets look at A.

So Im pretty sure its A, But Lets look at the rest.

.

D Wouldnt Work Cause It Says The Spend $95.25 EACH

C dont work so its A.

Write 49D2
in the base-ten system.

Answers

Each position in base 10 is worth ten times the place to its right, and there are ten numbers (0–9). 49D2 in the base-ten system is equal to 204064.

What does base-10 value 2 have?

When you come to "two," you discover that there isn't a single digit in base-two math that stands for "two." Instead, you enter a "1" for "1 two" and a "0" for "0 ones" in the twos and units columns, respectively.

[tex]49D2 in the base-ten system is 4916^3 + 1316^2 + 216^1 \\\\= (494096) + (13256) + (216) \\\\= 200704 + 3328 + 32\\ \\= 204064[/tex]

Binary has a basis of 2 or 10.

A binary counting system simply employs the numerals 0 and 1 in each place. Base 2 is another name for binary. In binary, a second place is required to represent a number greater than 1.

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Cassie rolls a fair number cube with 6 faces labeled 1 through 6. She rolls the number cube 300 times. Which results are
probable to happen according to theoretical probability? Select TWO answers.

Answers

On solving the question, we can say that - the probability of given will be P(a/c) = 3/6 = 1/2

What is probability?

A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.

here,

the probability that event the dice will roll is 6

and chances of geting even numbers are = 3

so P(a/c) = 3/6 = 1/2

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Is (7, 9) a solution of y > 2x − 5?

HELP

Answers

Answer:

no

Step-by-step explanation:

y > 2x - 5

9 > 2(7) - 5

9 > 14 - 5

9 > 9. not a solution

9=9

The length of a rectangle is four times its width. If the area of the rectangle is 196 yd², finds its perimeter.

Answers

Answer:

perimeter = 70 yards

Step-by-step explanation:

⭐What is the area of a rectangle?

area = length * width

⭐What is the perimeter of a rectangle?

perimeter = 2(length) + 2(width)Strategy

1. Make the equation for the area of the given rectangle and solve for x

2. Substitute x into the expressions of the length and width and solve for the perimeter

Working

1. Define the expressions of the length and width of the rectangle

width: x

length: 4x

2. Make the equation for the area of the rectangle

[tex]196yd^2 = 4x * x\\196yd^2 = 4x^2[/tex]

3. Solve for x

[tex]\frac{196}{4} = x^2[/tex] . . . . . . . . . . divide both sides by 4

[tex]49 = x^2[/tex]

[tex]\sqrt{49} = \sqrt{x^2}[/tex] . . . . . . . . square root both sides to isolate x

[tex]7 = x[/tex]

4. Substitute x into the expressions of the length and the width

width: x

width = 7

height: 4x

height = 4(7) = 28

5. Solve for the perimeter

[tex]perimeter = 2(length) + 2(width)[/tex]

[tex]perimeter = 2(28) + 2(7)\\perimeter = 56 + 14\\perimeter = 70[/tex]

IF THIS RESPONSE HELPED YOU, PLEASE MARK IT THE "BRAINLIEST"! :)

Check Understanding th
Math
Board
1 There are 46 swimmers and 7 lanes. The same number of
swimmers will go in each lane. Any remaining swimmers will
practice diving. How many swimmers will each lane have?
• Write a division equation to model the problem.
• Use the space at the right to show how you can use
repeated subtraction to solve.
Each lane will have ______
Module 6 Lesson 5
swimmers.

Answers

Answer: To model the problem with a division equation, we can write 46 ÷ 7 = x, where x represents the number of swimmers that each lane will have.

To solve the equation using repeated subtraction, we can subtract 7 from 46 several times until we reach a number that is less than 7. The number of times we subtract 7 will give us the number of swimmers each lane will have. Here's one way to do it:

46 - 7 = 39

39 - 7 = 32

32 - 7 = 25

25 - 7 = 18

18 - 7 = 11

11 - 7 = 4

As you can see, we are able to subtract 7 from 46 a total of 6 times before we get a number less than 7. This means that each lane will have 6 swimmers, and the remaining 4 swimmers will practice diving. So each lane will have 6 swimmers.

So the equation 46 ÷ 7 = 6, and also by repeated subtraction method it shows the same result of 6 swimmers each lane.

Step-by-step explanation:

• Jason runs 8 miles in an hour and bikes 12 miles in an hour.
. This week, he runs a total of 3 hours and bikes a total of 6 hours.

Answers

If Jason runs 8 miles in an hour and bikes 12 miles in an hour, and he runs a total of 3 hours and bikes a total of 6 hours this week, then he runs a total of 83 = <<83=24>>24 miles this week.
He also bikes a total of 126 = <<126=72>>72 miles this week.
In total, Jason runs and bikes a total of 24+72 = <<24+72=96>>96 miles this week.

Whoever answers the previous question after this gets 50 points and brainliest if correct.

Answers

Step-by-step explanation:

I said it I knew it I did it I submit for you so I'm the one that is if if you know me.

Tony purchased a total of 18 bikes and magazines.Each book costs $12.How many books and magazines did he buy for $240

(You must define you variables and show your equations)

Answers

Tony purchased 12 books and 6 magazines for a total of $240.

What is equation?

An equation is a mathematical statement that expresses two or more mathematical expressions as equal. It typically consists of an equals sign (=), two or more variables, and a number or operation that links them. Equations are often used to solve problems, model real-world situations, and to make predictions.

He bought 12 books for $12 each, and 6 magazines for $12 each. Thus, the total cost of 18 books and magazines was $240.

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The manager of a theatre recorded the number of people that brought tickets for each movie. What is the probability that next person in line will purchase a ticket to see movie #2

Answers

how many movies were there?

Akira is setting tables at the restaurant where she works. She starts with a pile of 85 napkins, and she places 6 napkins on every table she sets

Write an equation that shows how the number of napkins remaining, y, depends on the number of tables akira sets, x

Answers

Answer: y = 85 - 6x

Step-by-step explanation:

Number of napkins remaining: y

Number of tables set: x

Akira starts out with 85 napkins. So, every time she sets a table, she is losing 6 napkins. The steady rate of napkins lost can be written with the following expression, as she is losing 6 napkins per table.

[tex]-6x[/tex]

These napkins are being removed from the total of 85 napkins:

[tex]85 - 6x[/tex]

The above equation also expresses the number of napkins remaining. Writing it as a proper equation:

[tex]y = 85 - 6x[/tex]

The final answer is: y = 85 - 6x

PLEASE HELP ASAP DUE TODAY NOW!!!!!!!!!!!

Answers

Answer:

0.910

Step-by-step explanation:

since it'snot perfect it can't be one and since it a positive slope it is 0.9102.

To order tickets online to a hockey game

Answers

Answer:

I'm not quite sure what the question is here but in order to buy tickets to a hockey game, you can type the hockey team or game into the web browser and select their website then select the time and dates you'd like to see the game

Hope this helps!

y is equal to 5 less than the product of x and -2. If the output is -27, what is the input?

Answers

Answer: 27 over 2,5

Step-by-step explanation:

What is the sum of 1/2 + 3/10?

Answers

Answer:

The answer is 3/20 or 0.15

I wish you luck in your assignments.

The answer is 0.5 or 3/20

Show that 113 +112 = 225, using at least three daily life examples.​

Answers

Answer:hope this helps!

1. Step-by-step explanation:

there is a blanket costing 112

and a chair costing 113

after going to the register you find that the total is

225

2. Step-by-step explanation:

there is a printer costing 112

and a laptop costing 113

after going to the register you find that the total is

225

3. Step-by-step explanation:

there is a pillow costing 112

and some makeup  costing 113

after going to the register you find that the total is

225

hope this helps i was in a rush so sorry if it was bad

what is the percent of change for your grade if originally you got 5 questions right and you checked your work and ended up with 15 questions right

Answers

Answer:

To calculate the percent of change for your grade, you will need to know your original grade and your revised grade. If you originally got 5 questions right and you checked your work and ended up with 15 questions right, you can calculate the percent of change as follows:

Subtract your original score from your revised score to find the difference: 15 - 5 = 10

Divide the difference by your original score and multiply by 100 to express the change as a percentage: (10 / 5) x 100 = 200%

This means that your grade increased by 200%.

Step-by-step explanation:

Geometry homework :/

Answers

The length of PZ is 7 units.

What is Centroid Property?

According to the centroid theorem, the triangle's centroid is located 2/3 of the way between the vertex and the side midpoints.

Given:

As, Centroid is the point where all median of a Triangle intersect.

Here, we have centroid 'P'.

Now, using the property of Centroid that the Centroid of the triangle is at 2/3 of the distance from the vertex to the mid-point of the sides.

So, SP = 1/3 SZ => SZ = 3SP

and, PZ = 2/3 SZ => SZ = 3/2 PZ

Then, 3SP = 3/2 PZ

3(3.5) = 3/2 PZ

10.5 x 2 = 3 PZ

21 = 3PZ

PZ = 7 units

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31 is what percent of 37?

Answers

Answer:   The total answers count 37 - it's 100%, so we to get a 1% value, divide 37 by 100 to get 0.37. Next- calculate the percentage of 31: divide 31 by 1% value (0.37), and you get 83.78% - it's your percentage grade.

1. choices: m-n m+n. m x n

2. choices: two. one. m. n.

3. choices: one. two. zero

4.choices: one. two. zero.

5. choices: first and last. first. last. middle

Answers

The initial polynomial result will include several terms, but after simplification, there may only be one or two terms left.

Polynomial's will be in which form?

Each polynomial must be considered to be in standard form. The initial multiplication will result in a total of m and n terms since each of the m terms of the first polynomial will be multiplied by each of the n terms of the second.

When the sum is simplified, some of those elements may be combined, resulting in a final product with only one or two terms.

1. 2 × b = 2b . . . . . each has 1 term; the result has 1 term.

2. (x -a)(x +a)  = x² -ax + ax -a² (2×2=4 terms) = x² -a² . . . . the results has 2 terms.

3.  (x -a)(x³ +x) =  x⁴ -ax³ + x² -ax . . . the results has 2×2 = 4 terms

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An English teacher reviewed 2 3 of an essay in 1 4 of an hour. At this rate, how many essays can she review in 1 hour? Simplify your answer and write it as a proper fraction, mixed number, or whole number. essays

Answers

The essays that she can review in 1 hour would be; 2 2/3.

What is a fraction?

A fraction represents a part of a number or any number of equal parts.

We are given that English teacher reviewed 2 /3 of an essay in 1/ 4 of an hour.

Thus, Fraction of the essay reviewed = 2/3

Amount of time used = 1/4

Therefore, the fraction of essay for an hour can be calculated as;

= Fraction of the essay reviewed / Amount of time used

= 2/3 ÷ 1/4

= 2/3 × 4

= 8/3

= 2 2/3

Hence, She will review 2 2/3 essay.

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Is this a polynomial? 3x^-2-5

Answers

On solving the provided question, we can say that - the value of the following polynomial will be 3x^2 = 5 => x^2 = 5/3

what are polynomials?

A polynomial is a mathematical statement made up of coefficients and uncertainty that exclusively uses additions, subtractions, multiplications, and positive integer powers of variables. A single indeterminate x polynomial is represented by the expression x2 4x + 7. A polynomial is an expression in mathematics that consists of variables (sometimes referred to as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is an algebraic expression made up of coefficients and variables. The only operations that an expression can contain are addition, subtraction, multiplication, and non-negative integer exponents. These expressions are known as polynomials.

here,

[tex]3x^{-2}-5[/tex]

3x^2 = 5

x^2 = 5/3

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which of the expressions below has a 6 in the tenths place if the difference a) 17.45 - 8,81 b) 12.35 - 1.76 c) 5.78 - 2.16 d) 19.34 - 1.69

Answers

It’s b i know bc i took a test on it
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