The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $460 per person per day if exactly 20 people sign up for the cruise. However, if more than 20 people (up to the maximum capacity of 90) sign up for the cruise, then each fare is reduced by $7 per day for each additional passenger. Assume at least 20 people sign up for the cruise, and let x denote the number of passengers above 20. (a) Find a function R giving the revenue per day realized from the charter. R(x)

Answers

Answer 1

Answer:

R(x) = (460 * 7x)*(20+ x)

Step-by-step explanation:

If exactly 20 people sign up :

Charge per person = $460

For passengers after 20:

At number of passengers = 20 ;

Cost = (fee * discount * number of additional passesengers) * (20 + Number of additional passengers

Let number of additional passengers after 20 = x

R(x) = ($460 * $7x) * (20 + x)

Hence,

R(x) = (460 * 7x)*(20+ x)


Related Questions

Which strategy uses place value to correctly solve for 321 x 4?

Answers

Answer:

300x4 =1200

20x4 = 80

1x4 =8

1288

Step-by-step explanation:

Break apart 321 = 300+20+ 1

This is the hundreds, tens, and ones

Then multiply each by 4

Add all together to get answer

Given the graph below, find GH.

Please answer only if you know it’s for a test

Answers

Answer:

GH=[tex]\sqrt{(-2-0)^{2}+(-3-3)^{2} }[/tex]

     =[tex]\sqrt{40}[/tex]

Step-by-step explanation:

Answer:

root 40 or 2 root 10

Step-by-step explanation:

You have to use the formula...

a^2 + b^2 = c^2

So...

2^2 + 6^2 = c^2

4 + 36 = 40

Which means...

Answer is root 40 or simplified... 2 root 10

Hope this helps :)

Let me know if there are any mistakes!!

n times 5 is equal to 24

word in equation and solve for variable

Answers

Step-by-step explanation: Remember that "times" mean multiply.

So reading the problem from left to right, we have n times 5,

that's n multiplied by 5 or 5n, is means equals, 24.

So we have 5n = 24.

We want to solve our equation for n so we want to get

n by itself on the left side of the equation.

Since n is being multiplied by 5, we need to divide both sides

of the equation by 5 and we have n = 24/5.

Don't be nervous to check your answer back in

the original equation even if it is a fraction.

Which is equivalent to square root 8 to the third power

Answers

Answer:

Step-by-step explanation:

IMPORTANT: ∛8ˣ is not the square root of 8³.  ∛ means cube root.

∛x = x^(⅓)

Randy has 53 inches of ribbon that he cuts into 6 pieces of equal length. What is the equal length of each piece of ribbon in inches

Answers

Answer:

9

Step-by-step explanation:

The reason being 9 is because the keyword was equally so if you need to add an additional inch, it will make it equal.

Decrease £14120 by 4% Give your answer rounded to 2 DP.

Answers

Answer:

(14120/100)*96 = £13,555.20

Step-by-step explanation:

Answer:

£13,555.20

Step-by-step explanation:

14120*4=56480

56480+14120=70,600

then 70,600+20

on a cauculaiter it will give you 70,620 but it is 70,600.20

then 14,1000.50-1,555.30=13,55.20

hope it is helpfull

6. Seven-tenth of a number is 28. What is the number? *

Answers

Answer:

40

Step-by-step explanation:

28 divided by 7= 4 (to get the number of 1/10)

4 x 10= 40

Answer:

40

Step-by-step explanation:

7/10x = 28

28/0.7 = x

40 = x

What is Max’s final number of his number if his starting number is 7?

Answers

Answer:

30

Step-by-step explanation:

(n+8)=2(7+8)=2(15)=30

Answer:

30

Step-by-step explanation:

Arithmetic question: You need to serve 58 people, 2 slices of pizza each. (Each pizza will be cut into 12 slices each.)  (1) How many pieces of pizza do you need altogether? Identify the original  improper fraction (or its reduced form) needed to solve this problem. Calculate the solution to give a mixed number answer? (2) How many pizzas do you need to order and how many extra slices will you have? Show any work needed to answer questions. ​

Answers

Answer:

5 order pizza

Step-by-step explanation:

12+12+12+12+12=60 I have 2 extra pizza

For what value(s) of x is the expression undefined?
х/(x+2)(x-3)
a) 0, 2, 3
b) -2,3
c) 2, -3
d) -2,-3
Choose

Answers

Answer:

Answer b): -2, 3

Step-by-step explanation:

Recall this is a rational function with vertical asymptotes at the points where the denominator becomes zero. That is:

for x = -2 (that brings x+2 = 0)  and for x = 3 (that brings x - 3 = 0)

Therefore, select answer b).

P(t) =8000(1.08)^t
What is the year the population reaches 11755

Answers

Answer:

Step-by-step explanation:

Your answer

P(t) = 8000(1.08)^t= 11755

.. ..... (1.08)^t= 1.469375

........ t = 5

Mark it as Brainlist answer. Follow me.

A self-serve frozen yogurt store sells servings up to 12 ounces. It charges $0.50 per ounce for a serving between 0 and 8 ounces, and $4 for any serving greater than 8 ounces and up to 12 ounces.

Answers

Answer:The answer is graph B.

Step-by-step explanation: It keeps going up at 0.50 because that is the price PER OUNCE for a serving between 0-8 ounces. The line on the graph is going straight at 4 because that is the price for ANY SERVING over 8 ounces/up to 12 ounces.

Tell whether the triangles are similar. Explain your answer.
Please help!!

Answers

triangles BAC and EDF are similar as the have the scale factor 2 (meaning triangle BAC's sides are double EDF. However triangle JKL and RPQ are not similar as the ratios of all the lengths of the corresponding are not equal (I hope that makes sense x)

You roll a 6-sided die.
What is P(even)?
Write your answer as a percentage.

Answers

3/6 50% ? I believe so if I’m wrong sorry but I’m pretty sure it’s 50% hope this helped

help its pre algebra

Answers

Answer:

Burger = $15

Hot Dog = $10

Step-by-step explanation:

b=35-2h

4(b-2h)+6h=120

4(35-2h)+6h=120

140-8h+6h=120

140-2h=120

-2h=120-140

-2h=-20

h=10

b=35-2h = 35-20 = 15

A car manufacturer produced 5.000 cars for a limited edition model Dealers sold all of these cars at mean price of $36,000 with a standard deviation of $3,000. Suppose we were to take random samples of 9 of these cars and calculate the sample mean price for each sample. Calculate the mean and standard deviation of the sampling distribution of .

Answers

Answer: Mean = $36,000 and standard deviation = $1000.

Step-by-step explanation:

The mean and the standard deviation of the sampling distribution of the sample mean:

[tex]Mean=\mu\\\\Standard\ deviation = \dfrac{\sigma}{\sqrt{n}}[/tex] , where n =sample size.

Here, we are given

[tex]\mu=\$36000,\ \ \sigma=\$3,000[/tex]

n= 9

Then, the mean and the standard deviation of the sampling distribution of the sample mean:

[tex]Mean=\$36000,\ \ Standard\ deviation=\dfrac{3000}{\sqrt{9}}=\dfrac{3000}{3}=\$1000[/tex]

Hence, Mean = $36,000 and standard deviation = $1000.

A teacher asked 21 pupils to estimate the height of a building in metres.
The stem-and-leaf diagram shows all 21 results.
6
represents 6.5m
6
5
9
7
0
2
6
8
8
8
3
3
5
7
7
9
9
0
5
5
5
10
8
11
2.
What was the median estimated height?
m

Answers

Answer:

I think it's 8.5m,I wish it is correct.

Step-by-step explanation:

:)I wish it helps.

For a two-day rental at the surf shop, it cost $55 to rent a surf board and $70 to rent a paddle board. On a certain weekend, the surf shop rented 51 total surf boards and paddle boards and made $3300. How many paddle boards were rented?

Answers

Answer:

7 paddleboards

Step-by-step explanation:

In order to solve this, you have to find the total amount that they earned by renting surfboards.

To find this you multiply 55 x 51 =2,805.

Then you use this factor and subtract it from the total amount they earned.

$3,300 - $2,805 = $495.

This shows us that they earned a total of $495 from renting out paddle boards. To find out how many paddle boards were rented out you have to divide $495 by $70 which is how much they charge to rent paddle boards.

495/70 = 7

In conclusion, they rented out 7 paddle boards.

The probability of the chance of a tornado would be considered:

A) Empirical Probability
B) Theoretical Probability
C) Subjective Probability
D) Conditional probability

Answers

Answer:

B)

Step-by-step explanation:

I’m pretty sure but sorry if I’m wrong

If the original parabola f(x) = x2 were transformed into f(x) = 4(x - 3)2 +1, what changes took place?
А
The parabola would be vertically stretched by a factor of 4, translated right 3 and up 1.
B
The parabola would be vertically compressed by a factor of 4, translated right 3 and down 1.
С
The parabola would be vertically stretched by a factor of 4, translated left 3 and up 1.
D
The parabola would be vertically compressed by a factor of 3, translated left 3 and down 1.

Answers

Answer:

A

Step-by-step explanation:

uppose you have purchased a filling machine for candy bags that is supposed to fill each bag with 16 oz of candy. Assume that the weights of filled bags are approximately normally distributed. A random sample of 10 bags yields the following data (in oz): 15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10 On the basis of this data, can you conclude that the mean fill weight is actually less than 16 oz? Let LaTeX: \alpha=5\%α = 5 %. What would be the appropriate null and alternative hypothesis?

Answers

Answer:

Null, H0: μ ≥ 16

Alternative ; H1: μ < 16

reject H0

Step-by-step explanation:

Null, H0: μ ≥ 16

Alternative ; H1: μ < 16

To compute the test statistic :

We need the sample mean and sample standard deviation :

15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10

Using calculator :

Sample mean, m = 15.887

Standard deviation = 0.13

Test statistic :

(m - μ) / s/sqrt(n)

(15.887 - 16) / 0.13/sqrt(10)

-0.113 / 0.0411096

= - 2.749

Tcritical at 95%

Tn-1, 0.025

T10,0.025 = 2.262

Since the test statistic value is less than the critical value, reject H0

5. Select all the expressions that represent the area of the shaded rectangle.
A. 3(10 - c)
C
B. 3(c - 10)
3
C. 10(0 - 3)
D. 10(3-0)
10
E. 30 - 30
F. 30 - 100

Answers

Answer:

Step-by-step explanation:

what shaded rectangle?

Jason wants to earn money by raking leaves. He buys a rake that costs $20.00. He plans to charge $6.00 for each
lawn that he rakes. (A-CED.2)
A. Write an equation to represent P, the amount of Jason's profit, if the number of lawns he rakes is r.
B. Use your equation to calculate the amount of profit Jason will make if he rakes 15 lawns.

Helppppppppp meeeeeeee!

Answers

Answer:

The equation would be 6r-20... If he raked 15 lawns, his profit would be $70

Step-by-step explanation:

For B. plugin 15 where r is... then multiply that by 6... which will get us 90. Then subtract the $20 rake fee and we get a profit of 70 dollars. Hope this helps!

5r+r= what dose this equal

Answers

Answer:

Step-by-step explanation:

5

Find all zeros of the equation 0 = x ^ 2 - x - 12

Answers

Answer:

x=4,-3

Step-by-step explanation:

Find the roots of  0 = x ^2 − x − 12  by solving for  x .

Answer:

3 zeros

Step-by-step explanation:

NEED HELP ASAP PLEASE HELP

Answers

Answer:

the second one or b. :)

Step-by-step explanation:

What is the graph represents the equation y=1/3x+2

Answers

Step-by-step explanation:

step 1. you mean which graph represents the equation y = (1/3)x + 2?

step 2. please provide the graphs - they are missing.

step 3. the equation has a slope of 1/3 which means it goes up one and three to the right.

step 4. the y intercept is 2 so it goes through the point (0, 2).

. sells t-shirts for $2 and shorts for $4 in April the total sales were 600.00 people bought four times as many t-shirts as shorts how many t-shirts and shorts did they sell?​

Answers

Answer:

200 t-shirts and 50 shorts

Step-by-step explanation:

t= t-shirts

s = shorts

600 = 2t + 4s

t = 4s

600 = 2(4s) + 4s

600 = 8s + 4s    ––––> 600 = 12s

s = 50

t = 4(50) –––––> t = 200

check:

600 = 2(200) + 4(50)

600 = 400 + 200

600 = 600

Joey has 10 packs of gum. 1/5 of his pack are spearmint. How many of his packs are spearmint?
A. 2 packs
B. 10 packs
C. 1 pack
D. 5 packs​

Answers

Answer:

A. 2 packs

Step-by-step explanation:

The answer is : A 2packs

4) The length of a rectangle is 7 inches more than the width. The perimeter of the rectangle
is 178 inches. Find the width of the rectangle.

Answers

Answer:

41 inches

please mark brainliest

Step-by-step explanation:

l= 7+w

perimeter = 2(l+w) =2(7+w +w)= 2(7+2w)= 14+ 4w

178= 14+4w

4w =178-14= 164

w= 164/4 = 41 inches

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