Converting percentage to a decimal:
<span>25% = 25 / 100 = 0.25 </span>
<span>What is 25% of 11.48 </span>
<span>= 25% * 11.48 </span>
<span>= 0.25 * 11.48 </span>
<span>= 2.87</span>
8 in each of the first four boxes and 9 in each of the second four boxes
Answer: the first option is the correct answer.
Step-by-step explanation:
Let x represent the number of necklaces that he makes in a year.
Profit = Revenue - cost
The cost of making each necklace is $5. In making necklaces in a year, the fixed cost is $5000. This means that the total cost of making x necklaces in a year is
5x + 5000
Sam sells each necklace for $10 each. This means that the total amount made from selling x necklaces is $10x.
For Sam to make profit of $1000 in a year, the number of necklaces that she must sell would be
1000 = 10x - (5x + 5000)
1000 = 10x - 5x - 5000
10x - 5x = 1000 + 5000
5x = 6000
x = 6000/5
x = 1200
The solution for this problem would be:
f'(x) = 1 - 1/x^2 = (x^2 - 1)/x^2
is positive where |x| > 1
hence (-inf, -1) and (1, inf) are the regions in which f' is positive and therefore f is increasing.
Therefore, the answer is (-infinity,-1] U [1,infinity).
