MATHEMATICS COLLEGE

Compute Lenny's estimated tax payment for the third quarter. He is self-employed and he expects to earn $40,800.00 this year. His estimated income tax rate is 19%.

Answers

Answer 1
Answer:

Answer:

Lenny's tax payment for the year will be $7,752

(The third quarter payment would be $1,938)

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Problems.

Taxes are calculated once a year based on your yearly income. That being said we can look at Lenny's income for the year ($40,800) and multiply that by 0.19 (19%) to calculate his tax payment  for the year.

$40,800 * 0.19 = $7,752

So Lenny's tax payment for the year will be $7,752 . The question asks for payment for the third quarter but as mentioned above tax is calculated yearly.

That being said if you would like to know how much it would be quarterly we can simply divide the tax payment by 4.

7,752 / 4 = 1,938

So the third quarter payment would be $1,938

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

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The profit on a teddy bear can be found by using the function P(x) = - 2x2 + 35x - 99 where x is the price of the bear.Calculate the price that maximizes profit.

Answers

Answer:

x=8.75

Step-by-step explanation:

The price x that maximizes profit is the maximum value of the function, and the maximum value of the function is located at a point where the first derivative of the function is equal to zero. The first derivative is:

P(x) = - 2x^2+35x-99\nP'(x)=-2(2)x^((2-1))+35(1)-0\nP'(x)=-4x+35

Using P'(x)=0:

0=-4x+35\n4x=35\nx=35/4\nx=8.75

The minimum value of the function is also at a point where the first derivative of the function is equal to zero. To differentiate if x=8. is a minimum or a maximum obtain the second derivative and evaluate it at x=8.75 if the value P''(x)>0 x is minimum and if P''(x)<0 x is a maximum.

P'(x)=-4x+35\nP''(x)=-4(1)\nP''(x)=-4

Evaluating at x=8.75:

P''(8.75)=-4

Therefore, x=8.75 is the maximum value of the function and it is the price that maximizes profit.

A traveling circus with thrill rides Charge 7$ For admission $1.50 For each ride you take. If you pay $29.50 total, how many rides did you take?

Answers

Answer:

15 rides

Step-by-step explanation:

Subtract $7 from $29.50

and then divide what you got ($22.50) from $1.50

A ladder leans against a building that angle of elevation of the latter is 70° the top of the ladder is 25 feet from the ground. to the nearest 10th of a foot how far from the building is the base of the ladder a. 20.5 feet b. 30.5 feet C.32.3’ or D.39.5 feet

Answers

Answer:

a. 20.5

Step-by-step explanation:

because this will form a right triangle we can use tan (opposite over adjacent) so an equation we could set up would be tan(70)=25/x

therefore we can just solve the equation which would give us 20.45. so if we round it the answer would be a

Answer:

The correct answer option is a. 20.5 feet.

Step-by-step explanation:

We are given that the angle of elevation of the ladder is 70° and the height of the ladder is 25 feet from the ground.

We are to find the distance of the building from the base of the ladder.

For this, we will use tan:

tan 70 = \frac { 2 5 } { x }

x = \frac { 2 5 } { tan 7 0 }

x = 20.5 feet

Sharon and Dani make invitations for a party.Sharon makes 27 invitations. That is 3 times as many as Dani makes.write and solve an equation to find the number of invitations Dani makes

Answers

Answer:

81 Invitations, 27 times 3 = 81

Step-by-step explanation:

While hiking, Sandra went up 120 meters. If Sandra started at 800 meters above sealevel, what is her elevation now?

Answers

The Answer:

If Sandra started at 800 meters and went up 120, the answer would be 920.

Step-by-step explanation:

First, simply add 800 meters, which is what she started with. Next, since she has gone up 120 meters since then, and the question is asking us what her elevation is NOW, you can add 800 + 120 to get 920. This question is solved by using addition.

Hope this helps!

Sandra is 920 meters above sea level


You would add 120 and 800 which is 920

Solve for x. x - 1
2 = 4

Answers

Answer:

x = 16

Step-by-step explanation:

x - 12 = 4

 + 12 = +12

x = 16

Answer:

16

Step-by-step explanation:
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