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nika2105 [10]
3 years ago
10

Suppose that Bob leaves a job that pays $100,000 per year in order to open a new sponge business. His insurance cost is $8,000,

his material cost is $15,000, his lease payments are $8,000 and his sales revenue is $120,000. Bob's economic profit is:
Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
5 0

Answer:

-$11,000 is the economic profit or we can say it is a loss.

Step-by-step explanation:

The job paid Bob = $100000

The insurance cost is = $8,000

The material cost is = $15,000

The lease payments are = $8,000

The sales revenue is $120,000.

So, Bob's economic profit is: 120000-100000-8000-15000-8000=-11000

Therefore, his economic profit is -$11000.

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Omar works as a tutor for $15 an hour and as a waiter for $7 an hour. This month, he worked a combined total of 83 hours at his
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Answer: 8t+581

Step-by-step explanation:

<h3> The complete exercise is: "Omar works as a tutor for $15 an hour and as a waiter for $7 an hour. This month, he worked a combined total of 83 hours at his two jobs. Let "t" be the number of hours Omar worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month."</h3><h3 />

Let be "t" the number of hours Omar worked as a tutor this month and "w" the number of hours Omar worked as a waiter this month.

Based on the data given in the exercise, you know that Omar worked a combined total of 83 hours this month.

Then, you can represent the number of hours he worked as a waiter this month with this equation:

w=83-t

Since he earns  $15 per hour working has a tutor and $7 per hour working as a waiter, you can write the following expresion to represent the total money earned:

15t+7w

Since w=83-t, you can substitute it into the expression and then simplify it in order to find the final expression that represents the total amount of money Omar earned this month.

This is:

15t+7(83-t)=15t+581-7t=8t+581

4 0
4 years ago
Vector u has initial point at (3, 9) and terminal point at (–7, 5). Vector v has initial point at (1, –4) and terminal point at
spin [16.1K]

Answer:

⟨-5, -1⟩

Step-by-step explanation:

Vector:

A vector is given by its endpoint subtracted by its initial point.

Vector u has initial point at (3, 9) and terminal point at (–7, 5)

Then

u = (-7, 5) - (3,9) = (-7 - 3, 5 - 9) = (-10,-4)

Vector v has initial point at (1, –4) and terminal point at (6, –1).

Then

v = (6,-1) - (1,-4) = (6-1,-1-(-4)) = (5,3)

What is u + v in component form?

u + v = (-10,-4) + (5,3) = (-10+5,-4+3) = (-5,-1)

⟨-5, -1⟩ is the answer.

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In ΔJKL, the measure of ∠L=90°, JL = 24, LK = 7, and KJ = 25. What is the value of the sine of ∠K to the nearest hundredth?
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