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Harrizon [31]
1 year ago
14

Jason Witten's Salary Negotiation Let's say that tight end Jason Witten (a football player) was given two options when negotiati

ng his contract for the 2017 football season (which was his final season, ). Option 1 was that he would be paid an additional $0.01 (yes one red cent) if he makes only one catch for the season, $0.02 if he makes a total of two catches, $0.04 for a total of three catches and so on, doubling the amount with each catch. Option 2 was that he would be paid a flat $2,000,000 increase from the previous year. Basing this decision on the 2012 season (where he had a career high of 110 total receptions/catches), which option would increase his salary more? (In other words, is it better for him to be paid per catch, starting with 1 cent and doubling with each catch up to 110 or is it better to have a flat $2 million increase?)
Mathematics
1 answer:
Leokris [45]1 year ago
3 0

Answer:

Option 1: It is better for him to be paid per catch, starting with 1 cent and doubling with each catch up to 110

Explanation:

If Jason were to be paid per catch given that he makes a total of 110 catches for the 2017 season in his new contract, he would make a total of :

0.01 × 2^109 = $6.4903711e+30(calculator result, means 6 then 30 digits after)

Therefore it is better for Jason to be paid per catch and not a flat fee of $2000000

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Given that a rectangle with length $3x$ inches and width $x + 5$ inches has the property that its area and perimeter have equal
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Answer:

First, we need to know how to calculate the area and the permiter of a rectangle.

To calculate the area, we multiply base by height and to calculate the perimeter, we sum all sides.

Knowing this, we can say that the area is 3x * (x+5) and the perimiter is 3x + 3x + x + 5 + x + 5, as we know both are the same, we write it as an equation:

3x * (x+5) = 3x + 3x + x + 5 + x + 5

Now we solve the equation:

3x^2 +15x = 6x + 2x + 10

3x^2+15x =8x + 10

3x^2+15x-8x-10=0

3x^2+7x-10=0\\\\x_1=\frac{-10}{3}\\x_2 = 1

As the negative result doesn't have sense, we only pick the second one: 1.

If x = 1, then area would be 3*6 = 18 square inches and perimeter 3+3+6+6 = 18 inches

7 0
2 years ago
Read 2 more answers
The table shows a proportional relationship between the mass, in kilograms (\text{kg})(kg)left parenthesis, start text, k, g, en
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Answer:

Dog: 40 kg

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Step-by-step explanation:

This combination has 0.040.040, point, 04 milliliters of medicine per kilogram of the dog's mass, which is the same as in the table.

This combination has 0.040.040, point, 04 milliliters of medicine per kilogram of the dog's mass, which is the same as in the table.

6 0
2 years ago
Use polar coordinates to find the volume of the given solid. bounded by the paraboloid z = 9 + 2x2 + 2y2 and the plane z = 15 in
mina [271]

Answer:

Z = 8 + 2x2 + 2y2

Convert to polar coordinates

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r = sqrt(3)

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Answer:

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Since you do not how much gallons of gas he bought you would use the variable x.

8 0
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Arturiano [62]
To solve for the system of equations, I will write the equation down as I rewrite the written form.
a number, n, (n) is added to 15 less than 3 times itself (+3n -15). The result is (=) 101. (101)
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n + 3n -15 = 101.
The correctly written form in your answers is:
3n - 15 + n = 101, your first answer.
4 0
2 years ago
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