Modem medical advances might mean people could live 200 year

Modem medical advances might mean people could live 200 years. In 2009, the Efe expectancy is about 80 years. Assume that due to modem advances, life expectancy gains 5.2 years every decade. From 2009, in how many years would humanity achieve a Efe expectancy of 120 years? Humanity would achieve a life expectancy of 120 years in approximately years. (Round up to the nearest year.) A vending machine accepts nickels, dimes, and quarters. Exact change is needed to make a purchase. How many ways can a person with four nickels, three dimes, and two quarters make a 55-cent purchase from the machine? There are ways to make the purchase. Identify a pattern in the given list of numbers. Then use this pattern to find the next number. (More than one pattern might exist so it is possible that there is more than one correct answer.) (-6, -12), (21/2, -31/2), (6, 0) (5, -1), (0, ) The next number is . (Simplify your answer.)

Solution

In 2009 life expectancy = 80 years

Every decade increase = 5.2 years

For 120 years total increse = 120-80 = 40 years

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of decades requried = 40/5.2 = 7.69

i.e. 2009+7.69(10) = 2085.9

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Human life would achieve a life expectancy of 120 years in apprxy 76.9 years.

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4 nickels 3 dimes and 2 quarters

value = 5, 10 and 25 respectively

For 55 cent purhcase --(Nickels, dimes , quarters) = (4, 1, 1) , (1, 0, 2) (0,3,1)

There are 3 ways to purchase.

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Seeing the numbers we find that first number - second number = 6 always

Hence the last is (0, -6)