MATH SOLVE

4 months ago

Q:
# The average salary for a doctorate is 39,000 less than twice that of someone with a bachelor's degree. Combined, a people (one with a denctorate, are with a bachelor's earn 1+126,000. Find the salary for each degree. 120.000 - - 39000 24 = 165,ooo.

Accepted Solution

A:

Answer:doctorate salary: d = $71,000bachelor salary: b = $55,000Step-by-step explanation:doctorate salary: dbachelor salary: brelationship between b and d: d = 2b - $39,000Unfortunately, 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 = $126,000Consolidating the 'b' terms results in 3b - $39,000 = $126,000, and so:3b = $126,000 + $39,000 = $165,000Dividing both sides by 3 yields the bachelor salary: b = $55,000Then 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