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
Answer:
Leg1 = 9 and leg2 = 12
Step-by-step explanation:
<u>Points to remember</u>
<u>Pythagorean theorem</u>
Hypotenuse² = Base² + Height²
<u>To find the length of each leg</u>
It is given that, hypotenuse = 15 feet
Let base = x the height = x +3
By using Pythagorean theorem we can write,
Hypotenuse² = Base² + Height²
15² = x² + (x + 3)²
225 = x² + x² + 6x + 9
2x² + 6x + 216 = 0
x² + 3x + 108 = 0
By solving we get x = 9 and x -12
Therefore one leg = 9 and other leg = 9 + 3 = 12
Answer:
Yes
Step-by-step explanation:
7 yards of rope is the same as 21 feet of rope. The required amount of rope is 20, meaning that it is possible to play double dutch.
The algebraic expression for the mathematical statement given as 4 more than the difference of 12 and a number j is 4 + 12 - j
<h3>How to determine the arithmetic expression?</h3>
The mathematical statement is given as:
4 more than the difference of 12 and a number j
4 more than means 4 +.
So, we have:
4 + the difference of 12 and a number j
the difference of 12 and a number j means 12 - j
So, we have
4 + 12 - j
Hence, the algebraic expression for the mathematical statement given as 4 more than the difference of 12 and a number j is 4 + 12 - j
Read more about algebraic expression at
brainly.com/question/4344214
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