Let c represent the weight of cashews and p the weight of pecans.
Then c + 10 = total weight of the nut mixture.
An equation for the value of the mixture follows:
$1.50(10 lb) + $0.75c = (c+10)($1.00)
Solve this equation for c: 15 + .75c = c + 10. Subtract .75c from both sides:
15 = 1c - 0.75c + 10. Then 5=0.25c, and c = 5/0.25, or 20.
Need 20 lb of cashews.
Check: the pecans weigh 10 lb and are worth $1.50 per lb, so the total value of the pecans is $15. The total value of the cashews is (20 lb)($0.75/lb), or $15. Does (20 lb + 10 lb)($1/lb) = $15 + $15? Yes. So c= 20 lb is correct.
The slope of the line is 2 = m. We can choose a coordinate pair and then plug that into the point-slope formula which is...
y - y1 = m(x - x1)
y - 3 = 2(x - 2)
Anyways, you could simplify more but the answer is C.
Good luck!
I think that it could be C. 13/12
Answer:
$32,728.40 and $28,620.45
Step-by-step explanation:
in order to find out the increase, you need to divide 30,660 by 30,000. This equals 1.022 which means that the salary is increasing by 2.2% Year over Year (YOY). Since 31,334.52 is only the 3rd year, you must multiple that by 1.022 to find out the 4th year salary and then again to find the 5th year salary.
For Job B, follow the same method. 25,080 is an increase of 4.5% over 24,000. So multiply 26,209.00 by 1.045 for the 4th year salary and then again for the 5th year salary. This equals $28,260.45