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Zarrin [17]
3 years ago
14

stack of poles has 24 poles in the bottom row, 23 poles in the next row, and so on, with 9 poles in the top row. How many poles

are there in the stack?
Business
1 answer:
Dmitrij [34]3 years ago
3 0

Answer:

There are 264 poles in the stack.

Explanation:

Number of poles in bottom row = 24

Number of poles in second last row in bottom = 23

Number of poles in top row in bottom = 9

24,23,.....9 (arithmetic sequence)

a=a_1 = 24

a_2=23

d = a_2-a_2=23-24=-1

Number of row in which 9 poles are present be n

the nth term is given by: a+(n-1)d

9=24+(n-1)(-1)

9=24-n+1

n=16

So, there are total 16 rows.

The sum of the nth term in arithmetic sequence is given by :

S_n=\frac{n}{2}(2a+(n-1)d)

So, total numbers of poles in stack:

S_{16}=\frac{16}{2}(2\times 24+(16-1)(-1)=264

There are 264 poles in the stack.

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) a substance decays 22ach day. after 7 days, there are 9 milligrams of the substance remaining. how many milligrams were there
mamaluj [8]

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7 0
2 years ago
Goshford Company produces a single product and has capacity to produce 105,000 units per month. Costs to produce its current sal
MariettaO [177]

Question Completion:

The special offer price is taken as $75.00 and not $77.40 per unit.

Current sales is taken as 80,000 units instead of 84,000 units.

Answer:

Goshford Company

If Goshford Company accepts the offer to sell additional 21,000 units at the reduced price of $75.00 per unit, the combined total net income is:

$5,445,500.

Explanation:

Data and Calculations:

Monthly production capacity = 105,000 units

Current sales = 80,000 units

Regular unit selling price = $146

Regular sales revenue = $11,680,000 ($146 * 80,000)

Special order selling price = $75.00

Special order quantity = 21,000

Special order sales revenue = $1,575,000 ($75 * 21,000)

Per unit Cost at 80,000 units

Direct materials                 12.5     $1,000,000

Direct labor                        15          1,200,000

Variable

manufacturing overhead 10            800,000

Variable production cost 37.50  $3,000,000

Fixed manufacturing

 overhead                        17.5        1,400,000

Variable selling and

administrative expenses 14          1,120,000

Fixed selling and

administrative expenses 13         1,040,000

Totals                                82       6,560,000

Relevant costs:                          Unit

Variable production cost         37.50

Variable selling and

administrative expenses        14.00

Shipping expense                     8.00

Total relevant cost per unit $59.50

Cost of goods sold:

Regular = $3,000,000 (80,000 * $37.50)

Special = $787,500 (21,000 * $37.50)

Combined Total Net Income:

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Sales revenue            $11,680,000       $1,575,000     $13,255,000

Cost of goods sold       3,000,000            787,500         3,787,500

Contribution               $8,680,000         $787,500       $9,467,500

Fixed manufacturing

 overhead                     1,400,000                 0                 1,400,000

Variable selling and admin.

 expenses                     1,120,000            294,000           1,414,000

Fixed selling and admin.

 expenses                   1,040,000                  0                 1,040,000

Shipping expense                                    168,000              168,000

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Net Income               $5,120,000         $325,500       $5,445,500

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podryga [215]

Answer:

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Explanation:

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3 years ago
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Answer:

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Explanation:

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