3(x+4)= 3x+12
3x+12+x+3+x=5x + 15
5x+15=180
5x=180-15
5x=165
x=165/5
x= 33min
mowing the grass = 3(x+4)
= 3(33+4)
=99+12
=111 min mowing grass
Answer:
4277.6
Step-by-step explanation:
Hello, I can help you with this
Step one
find the profit using a simple rule of three
if
4000 ⇔ 100%
then, how much(x) is 6.94?
x ⇔ 6.94%
the relation is
the profit is 277.6
hence, her balance after one year is the initial amount plus interest earned
balance= 4000+277.6
balance= 4277.6
I hope it helps, Have a great day
Answer:
The indifference point is 100 minutes.
Step-by-step explanation:
Giving the following information:
Plan a cost $23 plus an additional $.08 for each minute of calls.
Plan B cost $19 an additional $.12 for each minute of calls.
<u>First, we need to establish the total cost formula for each plan:</u>
Plan A= 23 + 0.08*x
Plan B= 19 + 0.12*x
x= number of minutes
<u>Now, to calculate the indifference point, we equal both formulas and isolate x:</u>
23 + 0.08x = 19 + 0.12x
4 = 0.04x
100= x
The indifference point is 100 minutes.
<u>Prove:</u>
Plan A= 23 + 0.08*100= $31
Plan B= 19 + 0.12*100= $31
It’s the bottom left answer because the angles are opposite of each other. They are also congruent. I hope this helps!
Answer: Option 'a' is correct.
Step-by-step explanation:
Since non negativity constraints ensure that the solution to the problem will contain only non negative values for the decision variables.
Like if the decision variables are x, y.
Then if x>0, y>0 it means the solution must be either positive or 0.
It only contains the non negative values.
Hence, option 'a' is correct.