Let the least possible value of the smallest of 99 cosecutive integers be x and let the number whose cube is the sum be p, then
By substitution, we have that
and
.
Therefore, <span>the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube is 314.</span>
Answer:
a) Profit = 84000
b) at break even number of pens sold = 46
Step-by-step explanation:
Profit = Selling price - Cost price
Total revenue generated = 99 * 1000
Total revenue generated = 99000
Total cost on making the pen = 11 * 1000
Total cost on making the pen = 11000
Total cost including the initial cost = 11000 + 4000
Total cost including the initial cost = 15000
Profit = 99000 - 15000
Profit = 84000
Break even is when the cost are equal to Revenue thus no profit or loss
Revenue = total cost (break even)
9x = 1x + 4000
9x - x = 4000
8x = 4000
x = 500
At breakeven Revenue = 9 * 500
At breakeven Revenue = 4500
since one pen is sold at 99 therefore at break even number of pens sold = 4500/99 = 45.45( to 2 decimal place)
at break even number of pens sold = 46
Answer:
9.5 inches
Step-by-step explanation:
The relationship is presumed to be ...
(first week's growth) + (second week's growth) = (growth in two weeks)
(first week's growth) + 3.43 inches = 12.93 inches . . . . . fill in the numbers
Subtract 3.43 from both sides of the equation:
first week's growth = 12.93 inches - 3.43 inches
first week's growth = 9.50 inches
The plant grew 9.50 inches in the first week.
<h3><u>
Answer:</u></h3>
Hence, the probability of the complement of rolling a number less than 5 by using a six-sided die is:
1/3
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Step-by-step explanation:</u></h3>
Let A denote the event of rolling a number less than 5 in a six-sided die.
Now, we know that the Total outcomes are: 6
since, the sample space is given as: {1,2,3,4,5,6}
Also Number of favorable outcomes are: 4
since the numbers which are less than 5 are {1,2,3,4}
Now we have to find:
where P denotes the probability of an event and 
denote the complement of event A.
We know that:
Now,
Hence,
Hence, the probability of the complement of rolling a number less than 5 by using a six-sided die is:
1/3
Answer:
x is a solution
Step-by-step explanation:
X+14>5
Subtract 14 from each side
X+14-14>5-14
x > -9
Substitute the value in
6 >-9
This is true so x is a solution
