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madreJ [45]
4 years ago
14

Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$40 thousand less than twice that of an

individual whose final degree is a​ bachelor's. Combined, two people with each of these educational attainments earn ​$119 thousand. Find the average yearly salary of an individual with each of these final degrees. HELP ME!
Mathematics
1 answer:
ANEK [815]4 years ago
5 0

Bachelor's degree salary = $53000

Master's degree salary = $66000

Step-by-step explanation:

Given that :

Let Salary of bachelor's degree holder = x

Salary of Master's degree holder = 2x - 40000

Master's salary + bachelor's salary = $119,000

Hence,

Master's salary + bachelor's salary = 119,000

2x - 40000 + x = 119,000

3x = 119000 + 40000

3x = 159000

x = 159000 / 3

x = $53,000

Bachelor's degree salary = $53,000

Master's degree salary ; 2x - 40000 ; 2(53000) - 40000 = $106,000 - $40,000 = $66000

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Zach has a basic cell phone plan that does not include texting. He is going to add a multimedia texting package to his
attashe74 [19]

Package A is less expensive for Zach to send 250 multimedia texts each month.

<u>Step-by-step explanation:</u>

Given that,

Zach plans to send 250 multimedia texts each month.

Package A charges $0.25 per multimedia  text with no monthly fees.

Package B charges $0.20 per multimedia text, but has a  $15 monthly fee.

We need to find out which package is less expensive for Zach to add the plan.

<u>The cost of 250 multimedia texts by package A :</u>

⇒ Number of texts × cost per text

⇒ 250 × 0.25

⇒ 62.5

∴ The package A charges $62.5 for 250 multimedia texts.

<u>The cost of 250 multimedia texts by package B :</u>

⇒ (Number of texts × cost per text) + monthly fee

⇒ (250 × 0.20) + 15

⇒ 50 + 15

⇒ 65

∴ The package B charges $65 for 250 multimedia texts.

The Package A charges $62.5 which is less than package B charge of $65.

Hence, package A is less expensive.

6 0
3 years ago
Tony plans to run a 5,000-meter fun run at a constant rate of 250 meters per minute. He uses function f to model his distance fr
kramer

Answer:

Option A.

Step-by-step explanation:

Based on the information provided on the question

the function used to model Tony's run is:

f(x) = -250*x  + 5000

This means that after x = 20 minutes, Tony will arrive to the finish line

f(20) = -250*(20)  + 5000 = -5000 + 5000 = 0

The function is always decreasing, because we are dealing with a line with negative slope.

Option A.

8 0
4 years ago
Read 2 more answers
48, 32 need help to awnser
Gala2k [10]

Answer:

ca ul plz tell what's the question

4 0
3 years ago
Read 2 more answers
If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 40 minutes, then Torricelli's Law gives the v
pochemuha

Answer:

V'(t) = -250(1 - \frac{1}{40}t)

If we know the time, we can plug in the value for "t" in the above derivative and find how much water drained for the given point of t.

Step-by-step explanation:

Given:

V = 5000(1 - \frac{1}{40}t )^2  , where 0≤t≤40.

Here we have to find the derivative with respect to "t"

We have to use the chain rule to find the derivative.

V'(t) = 2(5000)(1 - \frac{1}{40} t)d/dt (1 - \frac{1}{40}t )

V'(t) = 2(5000)(1 - \frac{1}{40} t)(-\frac{1}{40} )

When we simplify the above, we get

V'(t) = -250(1 - \frac{1}{40}t)

If we know the time, we can plug in the value for "t" and find how much water drained for the given point of t.

4 0
4 years ago
2.
Bond [772]
Answer: Choice C) Multiplication property of inequality

The rule basically says that if you start with a < b and you multiply both sides by some positive number c, then a*c < b*c. The sign doesn't flip if you multiply both sides by a positive number.
The sign will flip if c is negative. So we'll go from a < b to a*c > b*c if c is negative.

Example 1:
1 < 5
-2 > -10 ... multiplied both sides by -2; sign flips

Example 2: 
3 < 7
9 < 21 ... multiplied both sides by 3; sign does not flip

Similar rules apply to a > b, a \le b and a \ge b
8 0
3 years ago
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