The only restraints on profit result from the restriction on the domain which in turn place a restriction on profit.
0≤k. Knives sold cannot be negative.
So the range of profit or p is:
p=[-500, +oo)
Profit increases as the number of knives sold increases. $200 more profit is gained by each sale of a knife.
4000=200k-500
4500=200k
k=22.5
Since k is for knives sold, it must be an integer value, so a $4000 profit is not possible. At 22, p=3900 and at 23, p=4100
Answer:145
Step-by-step explanation:x-5+3x+25=180
4x+20=180 4x=160 x=40. <k=120+25=145
Answer:
Test scores of 10.2 or lower are significantly low.
Test scores of 31 or higher are significantly high
Step-by-step explanation:
Z-score:
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Significantly low:
Z-scores of -2 or lower
So scores of X when Z = -2 or lower
Test scores of 10.2 or lower are significantly low.
Significantly high:
Z-scores of 2 or higher
So scores of X when Z = 2 or higher
Test scores of 31 or higher are significantly high
Answer:
The task is explained in detail below.
Step-by-step explanation:
We know that a dog, a goat, and a bag of tin cans are to be transported across a river in a ferry that can carry only one of these three items at once (along with a ferry driver).
The driver will first transport the goat to the other shore and then return empty. Then they will take a bag of tin and transport it to the other shore, and then they will return with the goat to their original place.
Then he will leave the goat there and take a dog and carry it to the other shore and then return empty.
And eventually they will take the goat and transport it to the other shore.
A = P(1 + rt)
Where:
<span>·
</span>A = Total Accrued Amount (principal + interest)
<span>·
</span>P = Principal Amount
<span>·
</span>I = Interest Amount
<span>·
</span>r = Rate of Interest per year in decimal; r = R/100
<span>·
</span>R = Rate of Interest per year as a percent; R = r * 100
<span>·
</span>t = Time Period involved in months or years
A = 15,000(1+ 0.07(5))
A = 20,250 they acquired in total for 5 years
The yearly amount the get is 15,000 xx 0.07 = $ 1050 per
year
So in the next 25 years addition of 1050x25 = $26250 they
will get
