As a new sales employee you are given two salary structures to choose from. The first option has a base salary of $1400 per month plus a 6% commission (bonus) on
sales made. The second option has a base salary of $1100 per month plus an 8%
commission on the sales made.
Let z represent the sales amount and let y represent the monthly income.

The indifference point between the two options is $15,000 in sales.

Step-by-step explanation:

To determine the indifference point, first, we need to use structure the monthly income formula for each option:

Option 1:

y= 1,400 + 0.06z

Option 2:

y= 1,100 + 0.08z

Now, we equal both formulas and isolate z:

1,400 + 0.06z= 1,100 + 0.08z

300= 0.02z

$15,000= z

The indifference point between the two options is $15,000 in sales.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%