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2 answers:
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128
This question requires us to solve an infinite GP
As we can see the first unit is 16 wide, then 8, then 4 and so on; this can be written as
∞
(64 used as 16*4 = 64 is the area of the first rectangle)
We have ∞
where a is the first term and r is the common ratio of the GP for summing an infinite GP.
here we have
Therefore
∞
Learn more about GP here
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Answer:
The quantity of coffee costing $4 a pound in the coffee mixture is 2 pounds.
Step-by-step explanation:
Given: Coffee costing $4 a pound is mixed with 3 pounds of coffee costing 4.50 a pound to obtain a mixture costing $4.30 a pound.
We have to find the quantity of coffee costing $4 a pound in the mixture.
Let x represent the number of pounds of $4 coffee.
Cost of one pound = 4x.
Cost of 3 pounds of coffee costing 4.50 a pound = 3(4.50)
Cost of mixture costing $4.30 a pound = (x+3)(4.30)
According to given problem,
Solving for x, we get,
Rearranging like term together, we get,
Thus, the quantity of coffee costing $4 a pound in the coffee mixture is 2 pounds.
Check the picture below.
