Answer:
1875 arrangements
Step-by-step explanation:
Break-Even is the point when costs are equal to profit.
The cost is 15,000
We need to cover this up with the profit we get from sales.
Each arrangement is 17 (cost) and is sold for 25, so the profit from each arrangement is:
25 - 17 = 8
So, with each arrangement sale, we make profit of $8. How many of these we need to sell in order to break even (in order to make 15,000)??
We simply divide this amount (15,000) by the profit we make from each arrangement ($8), so that would be:
Number of Arrangements Needed to Break-Even = 15,000/8 = 1875
After 1875 arrangements, the boutique breaks even.
Answer:
Divide by 1,000
Step-by-step explanation:
To get down from each level in the metric system, you need to divide by ten, Millimeters are 3 steps down from meters so you need to divide by 1000.
X > 1.54 this is the answer hope i helped
Hey there! I'm happy to help!
We want to put this 0.002 into scientific notation, where you put it as a one digit number multiplied by 10 raised to a certain power.
If we move the decimal to the right 3 times, we will have 2. We will multiply this 2 by 
to show that it is still equal to 0.002.
So, the mass of the mustard seed is 2×.
Now, we multiply this mustard seed mass by the number of mustard seeds to find the weight of all of the mustard seeds combined.
(2×)×(4.3602×
)
Let's round 4.3602 to the nearest whole number, which is 4. We multiply those two together.
2×4=8
And we multiply the two exponents. When multiplying them, you add the numbers in the exponent. -3 and 4 combined gives us 1, and 10 the first power is just 10.
So, a good estimate for the mass of the mustard seeds is 80 grams, which is the same as (2×)×(4×)=8×
Have a wonderful day! :D
Cal problem!
given production
P(x)=75x^2-0.2x^4
To find relative extrema, we need to find P'(x) and solve for P'(x)=0.
P'(x)=150x-0.8x^3 [by the power rule]
Setting P'(x)=0 and solve for extrema.
150x-0.8x^3=0 =>
x(150-0.8x^2)=0 =>
0.8x(187.5-x^2)=0
0.8x(5sqrt(15/2)-x)(5sqrt(15/2)+x)=0
=>
x={0,+5sqrt(15/2), -5sqrt(15/2)} by the zero product rule.
[note: eqation P'(x)=0 can also be solved by the quadratic formula]
Reject negative root because we cannot hire negative persons.
So possible extrema are x={0,5sqrt(15/2)}
To find out which are relative maxima, we use the second derivative test. Calculate P"(x), again by the power rule,
P"(x)=-1.6x
For a relative maximum, P"(x)<0, so
P"(0)=0 which is not <0 [in fact, it is an inflection point]
P"(5sqrt(15/2))=-8sqrt(15/2) < 0, therefore x=5sqrt(15/2) is a relative maximum.
However, 5sqrt(15/2)=13.693 persons, which is impossible, so we hire either 13 or 14, but which one?
Let's go back to P(x) and find that
P(13)=6962.8
P(14)=7016.8
So we say that assigning 14 employees will give a maximum output.
