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Maslowich
3 years ago
5

A lake is 85 feet across using scale 1 inch :4 feet how many inches

Mathematics
1 answer:
Neporo4naja [7]3 years ago
7 0

Answer:

85÷4=21.25 is the anwer

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A country has 155 years of oil reserves at the current rate of consumption. Suppose that the demand for oil in the country is 2,
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Answer:

  • a) 125,220,046 barrels
  • b) 71.25 years

Step-by-step explanation:

<u>Oil consumption:</u>

  • 2000000 barrels/year

<u>Rate of increase of consumption:</u>

  • 2% = 0.02 per year

<u>Total reserves </u>

  • 155*2000000 = 310000000 barrels

a) ....................................................................................

<u>Total oil consumption at the end of 42 years:</u>

  • 2,000,000
  • 2,000,000*1.02 =
  • 2.000,000*1.02^2
  • ...
  • 2,000,000*1.02^41

<u>Sum</u>:

  • 2000000*(1 + 1.02+ 1.02^2+ ...+ 1.02^41) =
  • 2000000*(1.02^41 - 1)/(1.02 - 1) = 125,220,046 barrels

b)  ....................................................................................

<u>Oil reserves will last:</u>

  • 2000000*(1.02^x - 1)/(1.02 - 1) = 310000000
  • (1.02^x - 1)/0.02 = 155
  • 1.02^x - 1 = 155*0.02
  • 1.02^x =1 +3.1
  • 1.02^x = 4.1
  • x log 1.02 = log 4.1
  • x = log 4.1 /log 1.02
  • x =  71.25 years
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Answer:

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Step-by-step explanation:

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