One particular hotel in the downtown area costs \$90$90dollar sign, 90 a night. An additional 10\, percent tax is added to the original cost of the hotel room. There is also a one-time \$12$12dollar sign, 12 parking charge, and a family can expect to spend \$30$30dollar sign, 30 on tips during their stay. How many nights can a family spend at the hotel without exceeding their budget of \$600$600dollar sign, 600

Answers

Answer 1

Answer:

5

Step-by-step explanation:

total cost of hotel stay = cost per night + tax + parking charge + tips

tax = 10% x 90

= 0.1 x 90 = 9

let x = number of stays

90x + 9x + 12 + 30 ≤ 600

combine like terms

99x ≤  558

x ≤ 5.6

if they stay 5 nights, they would spend 537

if they stay 6 nights, they would spend 636

Answer 2

Answer:

5

Step-by-step explanation:


Related Questions

help!!!!!!!!! i am really confused and need help

Answers

Answer:

g(-3)= -3^3-7

= -27-7

= -34

When 5x^2−5 is completely factored, which is one of its factors?

Answers

Answer:

no, never completely factored with negative exponents

Step-by-step explanation:

5x^-3 = 5/x^3

Which of the following is NOT an integer?
8/2
0
1/4
-5
Question 2
5 ___ | -5 |
A: >
B: <
C: =​

Answers

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

1A) 0 (maybe 8/2)2A) >

Hope it helps!

Brainliest pls!

Follow me! ♡

please help me, due tomorrow!!!

Answers

Answer:

1. B

Step-by-step explanation:

the only 1 i could do is number 1 which i dont even think it is correct

Carol creates a flag consisting of two similar triangles and labels them
A ABC and A XYZ. Side AB is 5 cm and side XY is 15 cm. If the perimeter of A
ABC is 16 cm, what is the perimeter of A XYZ ?
A) 26 cm
B) 6cm
C)48cm
D)144cm

Answers

Answer: 48

Step-by-step explanation:

Find the volume and show work

Answers

Answer:

Volume = 2512 km³

Volume = 800π km³

Step-by-step explanation:

Volume Cylinder = Area circle * height

Let's input the info

Formula for the Area of a circle = πr²

Area circle = π*100

Since it asks to leave in terms of π or tenths ill give both.

Area circle = 100π

Area circle = 314

Volume = 100π * 8

Volume = 800π

Volume = 314 * 8

Volume = 2512

Units = km³

Volume = 800π km³

Volume = 2512 km³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

A) y=1/3x-8
B) y=1/3x-4
C) y=1/3x+2
D) y=1/3x-14

Answers

Answer:

A

Step-by-step explanation:

Concept :-

The slope intercept form of a line is y = mx + c Where m is slope , and c is constant .

On converting :-

[tex]\bf\implies y + 5 =\dfrac{1}{3}(x-9)\\\\\bf\implies y + 5 =\dfrac{1}{3}x - 3 \\\\\bf\implies y = \dfrac{1}{3}x - 3 - 5 \\\\\bf\implies\boxed{\red{y = \dfrac{1}{3}x -8 }}[/tex]

Hence option A is correct.

The area of a rectangle is 8 square yards.
What is the area of the same rectangle when measured in square feet?

Answers

Answer:

24 square feet

Step-by-step explanation:

If the area of the rectangle is  square yards then the area in feet would be 24 because there are 3 feet in a yard my multiply 8*3 to get 24.

Answer:

72

Step-by-step explanation:

Guy above was so wrong its 72 square feet I did the test

f(x)=2x2−10x+11 What is f(4)?

Answers

Set the polynomial equal to y y to find the properties of the parabola. y=2x2+10x+11 y = 2 x 2 + 10 x + 11. Rewrite the equation in vertex form. Tap for more steps.

In parallelogram MNPQ if QR=5 find RN.

Answers

Answer:

RN=5

Step-by-step explanation:

QR is congruent to RN therefore they are the same length

help please!! if it’s correct ill mark you as brainliest

Answers

Answer:

[tex]\frac{2\pi }{25}[/tex]

(8^2 x pi)/ (20x40)

solve for x. and please explain your answer

Answers

Next to angle x is 102° and is you add 102 to angle x it has to equal 180 because that’s the value of half the circle so you do 180-102 which will give you 78

Malcom is filling bags with rice. He starts with 5 1/4 lbs. container of rice and fills each bag with 5/8 pound of rice. How many bags can Malcom fill?

Answers

He can fill five bags with 2/8 lbs of rice left that is left over a d can not go into a bag .

Question
Am I going to past science class and not go to summer school?

Answers

Answer:

yes u got this shawty

Step-by-step explanation:

Mary would like to save $10 000 at the end of 5 years for a future down payment on a car


a) How much should she deposit at the end of each month in a savings account that pays 1.2%/a, compounded monthly, to meet her goal?



b) If you currently have a part-time job, consider your hourly wage. If you do not have a job, use the minimum hourly wage in your jurisdiction. How many hours each month would you have to work, just to make those payments? Write a brief reflection on the advantages and disadvantages to long-term saving for a purchase, compared to borrowing a large sum of money and paying it off over time. Note that interest rates for savings accounts are always lower than interest rates for borrowing!

Answers

Answer:

a) $161.8

b i) Approximately 327.7 hours

ii) The cost of saving is less but the opportunity cost of saving can be higher with regards to technology and regulation

Step-by-step explanation:

The amount Mary would like to save, FV = $10,000

The time Mary over which Mary intends to save the amount, t = 5 years

Therefore, the number of monthly payments, n = 12

a) The amount in interest the bank pays compounding, i = 1.2% per annum

The amount that Mary will deposit each month is given as follows;

The compound interest formula is given as follows;

[tex]PMT = \dfrac{FV}{\left (\dfrac{ \left (1 + \dfrac{i}{12} \right )^n - 1}{ \dfrac{i}{12}} \right)}[/tex]

Where;

PMT = The monthly payment

Therefore, we get;

[tex]PMT = \dfrac{10,000}{\left (\dfrac{ \left (1 + \dfrac{0.012}{12} \right )^{60} - 1}{ \dfrac{0.012}{12}} \right)} \approx 161.8[/tex]

PMT = 10,000/((1 + 0.012/12)^(60) - 1)/(0.012/12)) ≈ 161.8

The amount she needs to deposit monthly, PMT ≈ $161.8

b i) Given that the minimum wage varies and we have a minimum wage here is officially approximately $79, which is 160 hours a month work

The number of hours work needed = 161.8/79 × 160 ≈ 327.7 hours a month approximately

b ii) Given that the interest rate for saving is lower than the interest rate for borrowing, the amount paid by saving is much lesser than the amount paid back when borrowing, therefore, it is more cost effective to save

However, while saving, changes may take place, such as the use of what is being saved for, therefore, it can be more beneficial to borrow and make use of the items now while they are still available and acceptable, such as the drive towards net zero is making fuel based cars less popular with the drive being towards electric cars.

How many square feet of outdoor carpet will we need for this hole

Answers

Answer: multiply the numbers

Step-by-step explanation:

try multiplying the numbers

Santos flipped a coin 300 times. The coin landed heads up 125 times. Find the ratio of heads to total number of coin flips. Express as a simplified ratio. Answers:
A- 5 to 12
B- 7 to 12
C- 12 to 5
D- 5 to 7

Answers

Answer:

5/12

Step-by-step explanation:

No. of times coin landed head up / Total no. of flips

= 125 / 300

= 25*5 / 25*12

= 5 / 12

Help what’s the answer ?

Answers

Answer:

-5x+13

Step-by-step explanation:

-2x+9-3x+4

=-5x+13

Sebastian wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor is 7 1 2 ft by 3 1 4 ft. Find the area the carpet needs to cover.

Answers

Answer: [tex]\dfrac{195}{8}\ ft^2[/tex]

Step-by-step explanation:

Given

The dimension of the tiled floor is [tex]7\frac{1}{2}\times 3\frac{1}{4}\ ft^2[/tex]

Taking the floor in the shape of a rectangle

The area of the tiled floor is given by the product of length times width i.e.

[tex]\Rightarrow A=7\dfrac{1}{2}\times 3\dfrac{1}{4}\\\\\Rightarrow A=\dfrac{15}{2}\times \dfrac{13}{4}\\\\\Rightarrow A=\dfrac{195}{8}\ ft^2[/tex]

Katelyn invested $1500 into her account which earned interest compounded continuously. After 10 years, she discovered that she had $3935.36. What interest rate percent did Katelyn earn?

Answer: ____ % interest

Answers

Given:

Principal = $1500

Time = 10 year

Amount after interest compounded continuously = $3935.36

To find:

The rate of interest.

Solution:

The formula for amount after continuous compound interest is:

[tex]A=Pe^{rt}[/tex]

Where, P is principal, r is the rate of interest in decimal and t is time in years.

Putting [tex]P=1500,A=3935.36,t=10[/tex] in the above formula, we get

[tex]3935.36=1500e^{r(10)}[/tex]

[tex]\dfrac{3935.36}{1500}=e^{10r}[/tex]

[tex]2.6236=e^{10r}[/tex]

Taking ln on both sides, we get

[tex]\ln(2.6236)=\ln e^{10r}[/tex]

[tex]0.9645=10r[/tex]                   [tex][\because \ln e^x=x][/tex]

Divide both sides by 10.

[tex]\dfrac{0.9645}{10}=r[/tex]

[tex]0.09645=r[/tex]

The rate of interest in percentage is:

[tex]r=100\times 0.09645[/tex]

[tex]r=9.645\%[/tex]

Therefore, the required rate of interest is 9.645%.

I'LL MARK BRAINLIST
Find the mean, median, mode, and range of the following data set.
150, 125, 162, 178, 98, 213, 155, 130

Answers

Answer:

Mean = 151.375

Median = 152.5

Mode = None

Range = 115

Step-by-step explanation:

To find the mean:

Add the numbers and then divide by how many numbers there are:

150+125+162+178+98+213+155+130 = 1211

1211/8 = 151.375

To find the median:

Arrange in order from least to greatest:

98, 125, 130, 150, 155, 162, 178, 213

Median is the middle number. Because there is no middle number, average 150 and 155:

150+155 = 152.5

To find the mode:

Count how many times each number appears in the set. In this case, every number appears once, so there is no mode.

To find the range:

Subtract the highest number from the lowest number to find the difference:

213-98 = 115

Answer:

The mean is 138.9. The median is 142.5. There is no mode. The range is 163

a triangle has vertices r(1,2), s(3,3) and t(-3,4)

Answers

Give The Rest of the question

Answer:

Reflection about x axis

r(1,2)-----------r'(1,-2)

, s(3,3) ..........s'(3,-3)

and t(-3,4).....t'(-3,-4)

61- 2 7/8 simplyfy please give explanation

Answers

Answer:

[tex]\dfrac{465}{8}[/tex]

Step-by-step explanation:

The given expression is :

[tex]61-2\dfrac{7}{8}[/tex]

We need to simplify it.

[tex]2\dfrac{7}{8}=\dfrac{2(8)+7}{8}\\\\=\dfrac{23}{8}[/tex]

The above expression will be:

[tex]61-\dfrac{23}{8}=\dfrac{61(8)-23}{8}\\\\=\dfrac{465}{8}[/tex]

So, the value of the above expression is equal to [tex]\dfrac{465}{8}[/tex].

A computer can perform 4.66 x 10 exponent 8 calculations per second. How many calculations can this computer perform in one minute

Answers

Answer:

2.796x10^10

Step-by-step explanation:

4.66x10^8 in one second

1 minute is equal to 60 seconds

Multiply 4.66x10^8 by 60

= 2.796x10^10

A pitcher throws a 9 kg baseball in a straight line. Its momentum is 2.1 kg-m/s. What is the velocity of the
ball?

Answers

Answer:

[tex]0.23\:\mathrm{m/s}[/tex]

Step-by-step explanation:

The momentum of an object is given by [tex]p=mv[/tex], where [tex]m[/tex] is the mass of the object and [tex]v[/tex] is the velocity of the object.

What we're given:

object's mass [tex]m[/tex] object's momentum [tex]p[/tex]

Substituting given values, we can solve for [tex]v[/tex]:

[tex]2.1=9v,\\v=\frac{2.1}{9}\approx \boxed{0.23\:\mathrm{m/s}}[/tex]

Answer:

0.23 m/s

Step-by-step explanation:

hope this helps

i need helpp please this is due today (show work/explanation)

Answers

Answer:

14 x 14 = 196

10 x 14 x 1/2(basically just dividing by 2) = 70

70 x 4(four sides of triangles) = 280

Now let's add the areas together:

196 + 280 = 476 cm^2 is your answer.

Marulla's z score on a college entrance exam is 1.3. If the raw scores have a mean of 480 and a standard deviation of 70 points, what is her raw score?

Answers

Answer:

571

Step-by-step explanation:

We solve using z score.

z = (x-μ)/σ, where

x is the raw score = ?

μ is the population mean = 480

σ is the population standard deviation = 70

z = 1.3

Hence,

= 1.3 = x - 480/70

Cross Mulitiply

1.3 × 70 = x - 480

91 = x - 480

x = 480 + 91

x = 571

Therefore, Marulla's raw score is 571

Mackenzie works as a salesperson at an electronics store and sells phones and phone accessories. Mackenzie earns a $10 commission for every phone she sells and a $4 commission for every accessory she sells. On a given day, Mackenzie made a total of $126 in commission and sold 7 more accessories than phones. Write a system of equations that could be used to determine the number of phones sold and the number of accessories sold. Define the variables that you use to write the system.

Answers

X - Phones.
Y - Phone accessories. $ = 10x + 4y.

If she sold 7 phones, she would have to sell 14 accessories. 126 = 10(7) + 4(14). 70 + 56 = 126.

Answer:

answer =$126

Step-by-step explanation:

did I get it right ?

Re-write the quadratic function belbw in Standard Form
y = 3(x - 3)(x - 2)

Answers

Answer:

y = 3x² - 15x + 18

Step-by-step explanation:

y = 3(x - 3)(x - 2) ← expand factors using FOIL

   = 3(x² - 5x + 6) ← distribute parenthesis by 3

y = 3x² - 15x + 18 ← in standard form

ANSWER

SEE EXPLANATION

Step-by-step explanation:

3(x²-2x-3x+6)

3(x²-5x+6)

3x²-15x+18

Andre has seven dollars he needs $50 to buy a skateboard each week his grandmother pays him four dollars to complete some chores how much money does Andre have after the week

Answers

Answer:

$11

$39

Step-by-step explanation:

Amount Andre has = $7

Amount his grandmother pays him every week = $4

Amount Andre needs to buy a skateboard = $50

how much money does Andre have after the week?

Amount of money Andre has after the week = Amount Andre has + Amount his grandmother pays him every week

= $7 + $4

= $11

Amount of money Andre has after the week = $11

Amount Andre needs more to buy the skateboard = Cost of the skateboard - Amount of money Andre has after the week

= $50 - $11

= $39

Amount Andre needs more to buy the skateboard = $39

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