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
Anon25 [30]
3 years ago
14

A hotel chain charges $75 each night for the first two nights and $50 for each additional night’s stay. the total cost t is a fu

nction of the number of nights x that a guest stays.
Mathematics
2 answers:
Nadya [2.5K]3 years ago
7 0

Answer:

t = 75x  {x ≤ 2}

t = 150 + 50x {x > 2}

Step-by-step explanation:

A hotel chain charges $75 per night for first two nights.

If the number of nights of the stay are x then charges for x nights

= 75x where x ≤ 2

If the stay is for than 2 nights then charges for x nights

= Charges for two first 2 nights(@$75 per night) + charges for other than initial 2 nights (@$50 per night)

= (75×2) + 50x where x > 2

Therefore total cost of the hotel if represented by t then the function will be

t = 75x  {x ≤ 2}

t = 150 + 50x {x > 2}

g100num [7]3 years ago
5 0

you would need a function to determine whether to use a formula for 1 or 2 nights or a formula for more than 2 nights

T(x)={a if x <_ 2, b if x > 2}

 if it's 2 nights or less use option a, a = 75x

 if its longer than 2 days use option b, b= 50x + 50





You might be interested in
At some department store, all suits are reduced 30% from the retail price. If a man purchased a suit that originally rera ec for
Arisa [49]

Answer:

$78.72

Step-by-step explanation:

To find 30% of the original value, we need to turn this percentage into a decimal or a fraction and then multiply it by the original value

  • 30% is equivalent to 0.30, \frac{30}{100}, and \frac{3}{10}
  • So we can use either of these values. I will use 0.30 for simplicity

  • ($262.40)(0.30) = $78.72 is the amount saved
5 0
4 years ago
A grocer pays $7.00 for each carton of 14 cantaloupes. Which inequality describes p, the set of prices, in dollars, that he can
Deffense [45]
I can tell you that is 50 cents for cantaloupe at that price....
So I think he'd have to charge $1.50. He'd get what he paid for back plus a dollar.   If C= one cantaloupe ....it would look something like
 p > $1.50c   
 BECAUSE 1.50 x 14 = 21 minus the 7 he paid would leave you with 14... on dollar per cantaloupe... so the price can be anything greater than $1.50
4 0
3 years ago
Read 2 more answers
Question 6 of 10
Usimov [2.4K]

Answer:

The answer is B. 9

Use cosine rule. In this case, I am using SOH and the right triangle:

sin 60°= a ÷ 6 root 3

(6 root 3)(sin 60°)= a

a=9

Step-by-step explanation:

7 0
2 years ago
There are 4 cups in a quart and 4 quarts in a gallon how many cups in a 5 gallon jug of water
Marysya12 [62]
80 cups in a 5 gallon jug of water.

1 quart has 4 cups
1 gallon has 4 quarts
1 gallon = 4 quarts * 4 cups = 16 cups

5 gallons = has 80 cups of water.

(4 cups / 1 quart) x (4 quarts / 1 gallon) x (5 gallons) = 4 x 4 x 5 = 80 cups <u>
</u>
6 0
3 years ago
Read 2 more answers
Math help questions <br>​
Evgen [1.6K]

After 1 year, the initial investment increases by 7%, i.e. multiplied by 1.07. So after 1 year the investment has a value of $800 × 1.07 = $856.

After another year, that amount increases again by 7% to $856 × 1.07 = $915.92.

And so on. After t years, the investment would have a value of \$800 \times 1.07^t.

We want the find the number of years n such that

\$856 \times 1.07^n = \$1400

Solve for n :

856 \times 1.07 ^n = 1400

1.07^n = \dfrac74

\log_{1.07}\left(1.07^n\right) = \log_{1.07}\left(\dfrac74\right)

n \log_{1.07}(1.07) = \log_{1.07} \left(\dfrac74\right)

n = \log_{1.07} \left(\dfrac74\right) = \dfrac{\ln\left(\frac74\right)}{\ln(1.04)} \approx \boxed{8.3}

4 0
2 years ago
Read 2 more answers
Other questions:
  • Jennifer has 3 1/2 cups of jelly beans to share with 7 friends how many cups does each person get
    8·2 answers
  • Find the surface area of the following figure.
    14·1 answer
  • What is 0.06% as a decimal and a fraction
    12·2 answers
  • Solve 2x+3y-z=-4<br> 3x+2y+2z=14<br> x -3z=-13
    10·1 answer
  • Help please! Will give brainly! A rock is dropped from the top floor of a 500-foot tall building. A camera captures the distance
    14·1 answer
  • X+2y=-9<br><br> Solve for Y km
    10·1 answer
  • ¿Por qué la luna no se sale de su órbita y siempre gira en torno a la tierra?
    7·2 answers
  • Find the distance between each pair of points. (6, -1), (6,-4)
    9·2 answers
  • Ill give brainliest.
    11·2 answers
  • Will give brainiest!!! It is scattered plots and predictions and on the questions that have writing on them tell me whether it i
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!