Answer:
- $5000 in the first city
- $4000 in the second city
Step-by-step explanation:
Let x represent the pre-tax hotel charge in the first city in dollars. Then the hotel charge in the second city is x-1000 dollars, and the total tax is ...
... 7.5%·x +5%·(x -1000) = 575
... 12.5%·x = 625 . . . . simplify, add 50
... x = 5000 . . . . . . . . divide by 12.5% (=0.125)
The first-city charge was $5000; the second-city charge was $4000.
Answer:
y = 100 - 2.5 x is the equation that represents her total profit from
the project
Step-by-step explanation:
The given is:
1. An electrician earns 100 dollars for a project installing light fixtures
2. She must pay for the light fixtures herself and they cost 2 dollars
and 50 cents each
3. x represent the number of light fixtures and y represent her
total profit
Her profit is the amount of money she has left over after paying for
the light fixtures
∵ The cost of each light fixtures is 2 dollars and 50 cents
- Let us change the cents to dollar
∵ $1 = 100 cents
∴ 50 cents = dollar
∴ 2 dollars and 50 cents = $2.5
∵ Her profit = The money she earns - The money she pays
∴ The cost of each light fixtures = $2.5
∵ She installs x light fixtures
∴ She pays 2.5 x dollar
∵ She earns $ 100 for installing x light fixtures
∵ Her profit is $y
∴ y = 100 - 2.5 x
y = 100 - 2.5 x is the equation that represents her total profit from
the project
Step-by-step explanation:
What is the potential outlier in the following data set of populaion densities? 1,19,35,43,49,55,63,94,105,110,175,231,239,351,7
MAXImum [283]
Answer:
738
Step-by-step explanation:
It’s to different from the other numbers
Weight = k/(distance)². Let's find the value of k when distance = earth radius:
180 = k/(3900)² → k = 180 x 3900² → k = 2,737,800,000
If he is at 325 miles ABOVE the earth, the distance becomes: 3,900+325=4,225 miles and his weight becomes:
Weight = k/(distance)² → Weight = 2,737,800,000/(4225)² = 153.37
Weight = 153.37 lb
