(x)(3x - 5) = 12
3x^2 - 5x = 12
3x^2 - 5x - 12 = 0
(x - 3)(3x + 4) = 0
x = 3, -4/3
The answer must be negative so the number is -4/3.
Hope this helps!
Answer:
.35
Step-by-step explanation:
First 40 hours rate = $12 per hour.
Next 10 hours charge ( Upto 50 hours) = A half of $12 that is $6 per hour.
And after next 10 hours chrges ( More than 50 hours) = 2 times of initial rate, that is 2*12 = $24 per hours.
Let us take variale x for number of hours and f(x) is the function for total earning for x hours.
So, we can setup a piecewise function as
Therefore,
70 hours can be divided into = 40 hours + 10 hours + 20 hours.
Total earning of 70-hour week = 12* 40 hours + 6 * 10 hours + 24*20 hours
= 480 + 60 + 480
= $1020.
Therefore, he earn $1020 for a 70-hour week.
Price of DVD player ≥ $150
Saved = $80
Amount needed = $150 - $80 = $70
Saving per week = $10
Let x be the number of weeks needed:
80 + 10x ≥ 150
10x ≥ 150 - 80
10x ≥ 70
x ≥ 70 ÷ 10
x ≥ 7
Answer: She needs to save for for at least 7 weeks.
Answer: $116,000
Step-by-step explanation:
The net operating income will be the operation profit after deducting the expenses from the accrued revenue (reserve exclusive)
The revenue generated are $215,000 + $3,000
= $218,000
Expenses incurred;
$102,000
The net operating income = $218,000 - $102,000
= $116,000
Note that reserves is not used in business operation. Therefore it cannot be regarded either as revenue or expenses.