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ivanzaharov [21]
3 years ago
11

The average salary for a doctorate is 39,000 less than twice that of someone with a bachelor's degree. Combined, a people (one w

ith a denctorate, are with a bachelor's earn 1+126,000. Find the salary for each degree. 120.000 - - 39000 24 = 165,ooo.
Mathematics
1 answer:
tester [92]3 years ago
6 0

Answer:

doctorate salary:  d = $71,000

bachelor salary:     b = $55,000

Step-by-step explanation:

doctorate salary:  d

bachelor salary:     b

relationship between b and d:  d = 2b - $39,000

Unfortunately, your "1 + 126,000" could not be correct.  I'm going to assume that the total of the two salaries is $126,000.  If that's the case, then:

bachelor salary + (2 times bachelor salary less $39,000) = $126,000.  In symbols,

b + 2b - $39,000 = $126,000

Consolidating the 'b' terms results in 3b - $39,000 = $126,000, and so:

3b = $126,000 + $39,000 = $165,000

Dividing both sides by 3 yields the bachelor salary:  b = $55,000

Then the doctoral salary is 2b - $39,000 = 2($55,000) - $39,000, or $71,000.

Check:  Does b + (2b - $39,000) = $126,000?  Yes.

Then the doctoral salary is d = $103,000, and the bachelor salary $29,000

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\begin{gathered} \text{Given} \\ g(x)=2x \\ h(x)=x^2+4 \end{gathered}

Solve for (g o h)(x)

\begin{gathered} (g\circ f)(x)=g\big(f(x)\big) \\ (g\circ f)(x)=g(x^2+4) \\ (g\circ f)(x)=2(x^2+4) \\ (g\circ f)(x)=2x^2+8 \end{gathered}

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1 rooster to 4 chickens
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Where there are 5 roosters, there will be 20 chickens.

Another way to solve is as follows:

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