Answer:
<em>The least number of items to produce is 41</em>
Step-by-step explanation:
<u>Average Cost</u>
Given C(x) as the cost function to produce x items. The average cost is:
The cost function is:
And the average cost function is:
We are required to find the least number of items that can be produced so the average cost is less or equal to $21.
We set the inequality:
Multiplying by x:
Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.
Adding 20x:
Swapping sides and changing the sign:
Dividing by 41:
The least number of items to produce is 41
Answer:
$643.50
Step-by-step explanation:
Let i be the profit realized from the sale and d be the discount made on the sale:
#John's selling price can be calculated by first adding profit, i to $450, the d to the new price as:
![P_n=P_o(1+i)+d[P_o(1+i)]\\=450(1+0.3)+0.1[450(1+0.3)]\\\\\\=450\times 1.3+0.1(450\times1.3)\\\\=585+58.5\\\\=643.50](https://tex.z-dn.net/?f=P_n%3DP_o%281%2Bi%29%2Bd%5BP_o%281%2Bi%29%5D%5C%5C%3D450%281%2B0.3%29%2B0.1%5B450%281%2B0.3%29%5D%5C%5C%5C%5C%5C%5C%3D450%5Ctimes%201.3%2B0.1%28450%5Ctimes1.3%29%5C%5C%5C%5C%3D585%2B58.5%5C%5C%5C%5C%3D643.50)
Hence, John will resell the bike at $643.50
Answer:
x<0 less than or equal to and x > -2
Step-by-step explanation:
Answer:
x ∈ {-5, -1}
Step-by-step explanation:
Here's the solution using the quadratic formula:
The real zeros are -5 and -1.
_____
There are many ways to check your answer. One of them is to look at the given quadratic, which has no changes of sign in its coefficients. (They are all positive.) That means there can be no positive real roots, so already you know that x=0.5 won't work.
Also, the constant in the quadratic is the product of the roots, For your roots, their product is -7/4, so even multiplying by 4 (the leading coefficient in the given quadratic), you don't get anything like 20.
Answer: Half of a apple pie
Step-by-step explanation:
1/2 is half
