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sergejj [24]
2 years ago
11

81 is 40.5% of WHAT number 1. 2,000 2. 200 3. 33 4. 330

Mathematics
2 answers:
OverLord2011 [107]2 years ago
4 0

Answer:

200

Step-by-step explanation:

.405 * 200

= 81

iris [78.8K]2 years ago
3 0
81/0.405=200
Answer 2
Explanation:
40.5% means you multiply by 0.405. A number, times 0.405, is 81. To find that number divide, because division reverses multiplication.
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If the sum of a number and one is doubled​, the result is three less than the number. Find the number
goblinko [34]
Let the unknown number be x.

<span>sum of a number and one: x + 1
</span>
<span>sum of a number and one is doubled: 2(x + 1)
</span>
<span>three less than the number: x - 3

2(x + 1) = x - 3

2x + 2 = x - 3

x + 2 = -3

x = -5

The number is -5.
</span>
3 0
3 years ago
Read 2 more answers
A company estimates that it can sell 3,000 units each month of its product if it prices each unit at $80. However, its monthly n
slamgirl [31]

9514 1404 393

Answer:

  • 5290 units
  • $57.10 per unit
  • $279,591 profit

Step-by-step explanation:

For price p, the quantity q of units sold is said to be ...

  q = 3000 +10(80-p)/0.10 . . . . for price in dollars

Then the revenue will be ...

  r(p) = p·q = p(3000 +100(80-p)) = 100p(110 -p)

The cost is said to be ...

  c(q) = 250 +4.20q

  c(p) = 250 +4.20(100(110 -p)) = 250 +420(110 -p)

Then the profit function is ...

  P(p) = r(p) -c(p)

  P(p) = 100p(110 -p) -(250 +420(110 -p)) = (110 -p)(100p -420) -250

__

Ignoring the vertical offset of -250, the quadratic has zeros at 110 and 4.2. So, its line of symmetry (and vertex) will be found at ...

  p = (110 +4.2)/2 = 57.1 . . . . dollars per unit

The quantity that should be produced at that price is ...

  q(57.1) = 100(110 -57.1) = 5290 . . . . units produced

The profit at that price is ...

  P(57.1) = (110 -57.1)(100·57.1 -420) -250 = 52.9(5290) -250

  = $279,591 . . . . best profit

_____

<em>Additional comment</em>

After you have seen a few of these, you can write down the revenue function based on the rate of change of units sold.

If p is the price of a unit, then 80-p is the number of dollars of decrease in price for a price of p. Then (80 -p)/0.10 is the number of 10¢ decreases in price. The increase in units sold is 10 times this, or 10(80 -p)/0.10 = 100(80 -p). When that is added to 3000 units sold, the total is ...

  3000 +100(80 -p) = 3000 +8000 -100p

  = 11000 -100p = 100(110 -p) . . . . . quantity sold at price p

Revenue is the product of price times the number of units sold at that price.

Profit is the difference between revenue and cost.

6 0
2 years ago
Which table shows a function that is decreasing only over the interval
joja [24]

Answer:

Table 4th is showing the function that is decreasing only over the interval

Step-by-step explanation:

We have been given four tables below:

To determine the function that is decreasing only in the given interval

(-1,\infty)

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The table in which values is only  decreasing after -1 will be the table which shows a function is decreasing only.

In table 1 the value of x is increasing

In table 2 and 3 the value is increasing and then decreasing but we will consider only decreasing case

Therefore, Table 4th is correct.


8 0
2 years ago
Read 2 more answers
What is 1/10 the value of the digit 3 in 1,439.2
Artist 52 [7]
The value of the digit 3 is 30, so 3 is 1/10th.
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8 0
2 years ago
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On a number line where would 9/10 be located ?
AveGali [126]
If it is numbered one through ten you would put it on the 9 point
7 0
3 years ago
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