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Bogdan [553]
2 years ago
15

The winner of a weight-lifting competition bench-pressed 400 pounds. All other competitors bench-pressed at least 23 pounds less

. Write an inequality that represents the weights x (in pounds) that the other competitors bench-pressed.
Mathematics
1 answer:
ch4aika [34]2 years ago
6 0

Answer:

x\le 400-23\\ \\x\le 377\ pounds

Step-by-step explanation:

The winner of a weight-lifting competition bench-pressed weight 400 pounds.

All other competitors bench-pressed at least 23 pounds less. So, the maximum weight that all other competitors bench-pressed is

400-23=977\ pounds

If x pounds is the weight that the other competitors bench-pressed, then

x\le 400-23\\ \\x\le 377\ pounds

that sounds as the other competitors bench-pressed at most 377 pounds weight.

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Suppose that D(r) is a function which gives the population density, in hundreds of people per square mile, within r miles of the
borishaifa [10]

Answer:

a) T(r) = r.D(r)

b) 975 people per square mile.

Step-by-step explanation:

(a)

The units of D(r) are  

\frac{hundreds\;of\;people}{mile^2}

when multiplying the density by the area we get the amount of people in that area, so

T(r)=rmile^2D(r)\frac{hundreds\;of\;people}{mile^2}=rD(r)\;hundreds\;of\;people

(b)

The average rate of change of T(r) over the interval [5,7] is

\frac{T(7)-T(5)}{7-5}=\frac{7D(7)-5D(5)}{2}

but D(7) = 350 and D(5) = 100, so

\frac{7D(7)-5D(5)}{2}=\frac{7*350-5*100}{2}=975

and the average rate of change of T(r) over the interval [5,7] is 975 people per square mile.

5 0
2 years ago
Prepare the Sales Budget assuming: 1. Expected sales volume: 8,000 units for the first quarter, an increase of 20% is expected f
solong [7]

Answer:

Sales budget $     for the 4 quarters is  $ 600,000    $ 720,000            $594000 and $ 825,000  

Production Budget in units for the four quarters i s     7997.6            9000             8900  and  10,350 units

Step-by-step explanation:

Sales Budget

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Sales Volume    8000           9600                7200            10,000

<u>Sales Price       $75.00        $75.00           $ 82.50            $82.50 </u>

<u>Sales $              600,000     720,000            594000         825,000  </u>

We calculate the sales volume by applying the given percent to the sales units for each quarter. Then multiply it with the sales price to get the sales budget.

<u />

Production Budget

Quarters               I                    II                    III                    IV

Sales Volume    8000           9600                7200            10,000

+ Desired

Ending Inv.      2400            1800                3500               3850

<u>Less Opening   -----              2400               1800               3500           </u>

<u>Production      7997.6            9000             8900                10,350          </u>

We find the production budget units by adding the desired  ending inventory and subtracting the opening inventory from the sales units calculated above. The ending inventory of one quarter is the opening inventory of the next quarter.As we do not know the ending inventory of the previous year we cannot find the opening inventory of the 1st quarter of the year .

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2 years ago
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nataly862011 [7]
Hello : 
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2 years ago
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