Answer:
number of units for cost to be minimum=150
Step-by-step explanation:
y=2x^2-600 x+49000
dy/dx=4x-600
dy/dx=0 gives 4x-600=0
4x=600
x=150
d^2y/dx^2=4x
at x=150,d^2y/dx^2=4*150=600>0
so y is minimum at x=150
Answer:
Larger number(x)=20
Step-by-step explanation:
They're saying that the larger number 3 times is EQUAL(the same) to 4 times the smaller number.
The smallest number=35-x.
The larger number= x.
3 times the larger number=3x
4 times the smaller number=4(35-x)
Now, input it into an equation and solve:
3x=4(35-x) Distribute by multiplying 4 with 35 and x.
3x+4x=140-4x+4x Get 140 by itself by adding 4x.
7x/7=140/7 Divide.
x=20
Since x= the larger number, x=20.
Answer:
405
Step-by-step explanation:
To find sample size, use the following equation, where n = sample size, za/2 = the critical value, p = probability of success, q = probability of failure, and E = margin of error.
The values that are given are p = 0.84 and E = 0.03.
You can solve for the critical value which is equal to the z-score of (1 - confidence level)/2. Use the calculator function of invNorm to find the z-score. The value will given with a negative sign, but you can ignore that.
(1 - 0.9) = 0.1/2 = 0.05
invNorm(0.05, 0, 1) = 1.645
You can also solve for q which is 1 - p. For this problem q = 1 - 0.84 = 0.16
Plug the values into the equation and solve for n.
Round up to the next number, giving you 405.
Hi there!
So here's the important information we know:
He makes 15% comission on everything he sells
He sells a laptop for $293
To find out how much money Daniel makes in comission for the laptop, you need to calculate 15% of $293, which is the same thing as multiplying 15% by $293 :
15% × 293 = $
0.15 × 293 = $
43,95 = $
So your answer is: If Daniel sells a laptop for $293, he makes a comission of $43,95.
There you go! I really hope this helped, if there's anything just let me know! :)
The 9 is in the Tenths place
