1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lesantik [10]
2 years ago
6

The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $460 per person per day if exactly 20 people s

ign 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)
Mathematics
1 answer:
Firlakuza [10]2 years ago
7 0

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)

You might be interested in
Let log_(b)A=3; log_(b)C=2; log_(b)D=5 what is the value of log_(b)((A^(5)C^(2))/(D^(6)))
Colt1911 [192]

Answer:

-11

Step-by-step explanation:

Given

\log_bA=3\\ \\\log_bC=2\\ \\\log_bD=5

Use properties:

\log_b(A\cdot C)=\log_bA+\log_bC\\ \\\log_b\dfrac{A}{C}=\log_bA-\log_bC\\ \\\log_bA^k=k\log_bA

Thus,

\log_b\dfrac{A^5\cdot C^2}{D^6}\\ \\=\log_b(A^5\cdot C^2)-\log_bD^6\\ \\=\log_bA^5+\log_bC^2-\log_bD^6\\ \\=5\log_bA+2\log_bC-6\log_bD\\ \\=5\cdot 3+2\cdot 2-6\cdot 5\\ \\=15+4-30\\ \\=-11

3 0
2 years ago
Translate the word phrase into a math expression. nine more than five times a number
levacccp [35]

The number is 'n'.

Five times the number is  5n .

Nine more than that is  5n + 9 .

5 0
3 years ago
7- a. What is the radius of the circle with center (3,10) that passes through (12,12)?
loris [4]

Answer: a. Radius of circle = \sqrt{85}

b. The equation of this circle : (x-3)^2+(y-10)^2=85

Step-by-step explanation:

Given : Center of the circle = (3,10)

Circle is passing through (12,12).

a. To find the radius we apply distance formula (∵ Radius is the distance from center to any point ion the circle.)

Radius of circle = \sqrt{(12-3)^2+(12-10)^2}

Radius of circle = \sqrt{(9)^2+(2)^2}=\sqrt{81+4}=\sqrt{85}

i.e. Radius of circle = \sqrt{85}

b. Equation of a circle = (x-h)^2+(y-k)^2=r^2 , where (h,k)=Center and r=radius of the circle.

Put the values of (h,k)= (3,10) and r= \sqrt{85} , we get

(x-3)^2+(y-10)^2=(\sqrt{85})^2

(x-3)^2+(y-10)^2=85

∴  The equation of this circle :(x-3)^2+(y-10)^2=85

6 0
3 years ago
Say a friend had multiplied 1.2 and 2.6 and got 31.2. would that be the correct answer
VLD [36.1K]
No 1.2 x 2.6 doesn't equal 31.2 it equals 3.12
6 0
3 years ago
black pencils cost 75 naira each and colour pencils cost 105 naira each if 24 mixed pencils cost 2010 naira how many of them wer
KonstantinChe [14]

Answer:

number of black pencils is 17

7 0
3 years ago
Other questions:
  • An item is priced at 60 dollars it is on sale for 40% off the regular price
    12·1 answer
  • lindsey read a total 85 books over 17 months. if lindsey has read 105 books so far, how many months has she been with her book c
    13·1 answer
  • Which of the following represents 5 hundredths of a dollar
    5·1 answer
  • What is the expression in factored form?x^2+13x+14
    15·1 answer
  • Can someone help me with this please?
    12·1 answer
  • Create an equivalent system of equations using the sum of the system and the first equation.
    9·1 answer
  • When adding two negative number equls a nagative number
    7·2 answers
  • Please help!!<br> I really need it<br> Will mark brainliest
    12·1 answer
  • I need help please!!!!
    12·1 answer
  • |x-5|&gt;6 <br> Please help me thank you
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!