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
Shalnov [3]
3 years ago
5

A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 lower than in the first.

The tax in the first city was 8%, and the tax in the second city was 8.5%. The total hotel tax paid for the two cities was $823.75. How much was the hotel charge in each city before tax?
Business
1 answer:
Naddika [18.5K]3 years ago
4 0

Answer:

Hotel charge in city 1= $5,250

Hotel charge in city 2= $4,750

Explanation:

A theater group made an appearance in two cities.

Let x represent the amount charged in the first city

Let y represent the amount charged in the second city

The hotel charge before tax in the first city is $500 lower than the second city

y= x-500......equation 1

The tax in the first city is 8%

= 8/100

= 0.08

The tax in the second city is 8.5%

= 8.5/100

= 0.085

0.08x + 0.085y= 823.75.........equation 2

Substitute (x-500) for y in equation 2

0.08x + 0.085(x-500)= 823.75

0.08x + 0.085x - 42.5= 823.75

Collect the like terms

0.08x + 0.085x= 823.75+42.5

0.165x= 866.25

x= 866.25/0.165

x = 5,250

Substitute 5250 for x in equation 1

y= x-500

y= 5,250-500

y= 4,750

Hence the hotel charge in city 1 is $5,250 and the hotel charge in city 2 is $4,750

You might be interested in
What are the fundamentals of a wealthy life?
Alenkinab [10]

Answer:

  • Avoiding debt.
  • Budgeting properly.
  • Setting short-term and long-term goals.
  • Investing in yourself.
  • Diversifying your assets.
  • An understanding of risk and reward

8 0
3 years ago
Read 2 more answers
On November 1, Bahama National Bank lends $3.8 million and accepts a six-month, 6% note receivable. Interest is due at maturity.
babymother [125]

Answer and Explanation:

The journal entries are shown below:

a. Note receivable Dr $3,800,000

        To Cash $3,800,000

(Being the acceptance of the note is recorded)

For recording this we debited the note receivable as it increased the assets and credited the cash as it decreased the liabilities

b. Interest receivable Dr  $38,000

                 To Interest revenue  $38,000

(Being the interest revenue is recorded)

For recording this we debited the interest receivable as it increased the assets and credited the interest revenue as it increased the revenue

The computation is shown below:

= $3,800,000 × 6% × 2 months ÷ 12 months

= $38,000

,

7 0
2 years ago
An amendment to the texas constitution requires a balanced budget. This means that _____.
marissa [1.9K]

Any increase in government spending must be offset by an increase in revenue and/or cuts in spending elsewhere in the budget.

<h3>What does Texas Constitution require a balanced budget?</h3>
  • Texas always keeps its budget balanced because the State Constitution demands it. The Texas state and local sales taxes exceed 10% of the individual transaction price. The primary operating fund for Texas is the General Revenue Dedicated Fund.
  • A constitutional amendment known as the "balanced budget amendment" would restrict government spending to the amount of revenue it receives. Spending would need to be under control by the federal government.

An amendment to the texas constitution requires a balanced budget. This means that any increase in government spending must be offset by an increase in revenue and/or cuts in spending elsewhere in the budget.

According to a balanced budget, a government should not spend more than its income. Thus projected incomes and expenditures should be equal.

To learn more about balanced constitutional budget amendment, refer to:

brainly.com/question/8873582

#SPJ9

4 0
2 years ago
A fast-food restaurant has determined that the chance a customer will order a soft drink is 0.90. The proba- bility that a custo
azamat

Answer:

(a) The probability that the order will include a soft drink and no fries is 0.45.

(b) The probability that the order will include a hamburger and fries is 0.48.

Explanation:

Let the events be denoted as follows:

S = an order of soft drink

H = an order of hamburger

F = an order of french fries.

Given:

P (S) = 0.90

P (H) = 0.60

P (F) = 0.50

(a)

It is provided that the event of ordering a soft drink and fries are independent.

If events A and B are independent then the probability of event (A ∩ B) is:

P(A\cap B)=P(A)\times P(B)

Compute the probability that the order will include a soft drink and no fries as follows:

P(S\cap \bar F)=P(S)\times P(\bar F)\\=P(S)\times[1-P(F)]\\=0.90\times (1-0.50)\\=0.45

Thus, the probability that the order will include a soft drink and no fries is 0.45.

(b)

It is provided that the conditional probability that a customer will order fries given that he/she has already ordered a hamburger as, P (F|H) = 0.80.

The conditional probability of an event B given another event A has already occurred is:

P(B|A)=\frac{P(A\cap B}{P(A)}

Compute the probability that the order will include a hamburger and fries as follows:

P(F|H)=\frac{P(H\cap F)}{P(H)}\\P(H\cap F)=P(F|H)\times P(H)\\=0.80\times 0.60\\=0.48

Thus, the probability that the order will include a hamburger and fries is 0.48.

6 0
2 years ago
LanWan Software earned net sales revenue of $62,000,000 in 2016. Cost of goods sold was $41,540,000​, and net income reached $9,
blagie [28]

Answer:

33%

Explanation:

Given that,

Net sales revenue = $62,000,000

Cost of goods sold = $41,540,000

Net income reached the​ company's highest ever = $9,000,000

Gross profit:

= Net sales revenue - Cost of goods sold

= $62,000,000 - $41,540,000

= $20,460,000

Therefore, the gross profit percentage is calculated by dividing the gross profit by the net sales.

Gross profit percentage for 2016:

= (Gross profit ÷ Net sales) × 100

= ($20,460,000 ÷ $62,000,000) × 100

= 0.33 × 100

= 33%

4 0
3 years ago
Other questions:
  • Identity-__________ individuals lack clear direction. they are not committed to values or goals, nor are they actively trying to
    7·1 answer
  • Which federal government agency is the primary source for quality delivery of health services?
    6·1 answer
  • Land in the Marcellus Shale natural gas play is currently leasing for $10,000 per acre. 100 acres are needed in order to drill f
    9·1 answer
  • From the choice of simple moving average, weighted moving average, exponential smoothing, and linear regression analysis, which
    13·1 answer
  • Hector has a favorite Mexican fast food restaurant he likes to go to for chicken burritos. He will drive ten miles to the locati
    14·1 answer
  • Which of the following might help to solve a free-rider problem? Select all that apply:
    15·1 answer
  • Indifference curves that are higher than others necessarily imply that for every given quantity of one good A. more of the other
    9·1 answer
  • Why do you think special riders are necessary to cover jewelry, stamp collections, coin collections, and laptop computers?
    11·1 answer
  • Define corporate culture. What are the components of a good corporate culture? Why do you think that corporate culture has such
    5·1 answer
  • A skill you will use in your writing, way of thinking, evaluating conversations, and in daily encounters with others is?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!