The computer store pays its employees $150 per day plus a commission of 15% of their sales. Teagan wants to make at least $450 t
2 answers:
The equation 0.15 x + 150 ≥ 450 will help Teagan determine how much he has to sell today ⇒ A
Step-by-step explanation:
The given is:
- The computer store pays its employees $150 per day plus a commission of 15% of their sales
- Teagan wants to make at least $450 today
We need to find which equation will help Teagan to determine how much he has to sell today
Assume that he has to sell by $x today
∵ The store pays $150 per day plus a commission of 15%
of their sales
∵ Teagan's total sales = x
- Multiply 15% by x, then add the product by 150
∴ Teagan makes = 15% × x + 150
∵ 15% × x = × x = 0.15 x
∴ Teagan makes = 0.15 x + 150
∵ Teagan wants to make at least $450 today
- At least means ≥
∴ Teagan makes ≥ 450
- Substitute Teagan makes by 0.15 x + 150
∴ 0.15 x + 150 ≥ 450
The equation 0.15 x + 150 ≥ 450 will help Teagan determine how much he has to sell today
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Answer:
P=2A+B where:
A= # of pounds of American blend and
B= # of pounds of British blend
Step-by-step explanation:
This is a linear programming problem. In order to solve it we need to determine how we are going to use the provided data and we need to keep in mind what we need to maximize (or minimize depending on the problem)
So, the problem states that "The goal of Fine Coffees, Inc. Is to maximize profits." This last sentence will tell us what the objective function will be. The objective function must model the desired value we want to maximize. So the objective function should represent the profits of selling the two tipes of cofee blends.
So this is the data the problem gives us:
"He can only get 300 pounts of Colombian beans per week and 200 pounts of Dominican beans per week." This part or the problem is talking about the amount of coffee beans he can get depending on its type. This will help us find the restrictions for our linear programming problem, so they are not necessary to state the objective function. Next it states:
"Each pount of American blend cofee requires 12 oz of Colombian beans and 4 oz. of Dominican beans, while a pound of British blend coffee uses 8 oz of each type of bean." Again, this data will help us find the restrictions for our linear programming problem, since they will tell us how much coffe we can manufacture, so they are not needed to find the objective function.
The next part states: "Profits for the American blend are $2.00 per pound, and profits for the British blend are $1.00 per pound." Now, we are interested in this part since it's talking about profits, which is what we need to maximize.
We set A to be the number of pounds of American blend and B to be the number of pounds of British blend. So the profit for American blend is found by using the following equation:
And the profit for the British blend is found by using the following equation:
so the total profit is found by adding the two given profits, so we get:
or
which can be simplified to:
P=2A+B
which is our objective function.
Step-by-step explanation:
Chord AB and Chord CD are equidistant from the center of the circle.
Answer:
,
Step-by-step explanation:
<h3>I will use the elimination method.</h3>We want to make the X's the same:
Because the signs of the X's are the same we subtract the 2 equations to make:
(I put the second one on top of the 1st)
So:
Substitute y into either equation 1 or 2:
(I chose equation 1)
So: