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Dima020 [189]
4 years ago
10

A stack of logs has 27 logs on the bottom layer each subsequent layer has five fewer logs in the previous layer at the top layer

has to logs how many total Boggs are thereal
Mathematics
1 answer:
Alinara [238K]4 years ago
3 0

Answer:

S=252logs

Step-by-step explanation:

bottom layer has a1 = 25

second layer has a2 = a1 - 1 = 24

third layer has a3 = a2 - 1 = a1 - 2 = 23

.

.

n-th layer has an an = a1 - n = 25 - n

the top layer contains an = 25 - n and we know that the top layer has 11 logs thus

25 - n = 11

n = 25 - 11

n = 14

there are 14 layers

the total number of logs is the sum of the first 14 members of the Arithmetic Progression 25, 24, 23, 23,.....11 where

an = 25 - n

Sn = (n/2)(a1 + an) and since n = 14

S14 = (14/2)(25 + 11) = 7*36 = 252

S14 = 252 logs

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Work Shown:

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Profit is always calculated as revenue minus expenses. If a company’s expenses were $10 million, write an equation that expresse
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The equation that expresses profit, P, (in millions of dollars) in terms of revenue, R, (in millions of dollars) is P = R - 10

The profit is $15 million when revenue is $25 million

Step-by-step explanation:

The formula of the profit is P = R - E, where

  • R is the revenue
  • E is the expenses

If a company’s expenses were $10 million, wee need to write an equation that expresses profit, P, (in millions of dollars) in terms of revenue, R, (in millions of dollars) and then find the profit when revenue is $25 million

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∵ R is the revenue in millions of dollars

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The equation that expresses profit, P, (in millions of dollars) in terms of revenue, R, (in millions of dollars) is P = R - 10

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∵ P = R - 10

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∴ The profit is $15 million

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Learn more:

You can earn more about the word problems in brainly.com/question/10557938

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