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Mathematics Clinic => Grade 11 and 12 Mathematics => Topic started by: bobypop on Feb 28, 2021

Title: Lexington Reservoir has 300 million gallons of water. About 0.07% of the water is lost to ...
Post by: bobypop on Feb 28, 2021

Solve.

Lexington Reservoir has 300 million gallons of water. About 0.07% of the water is lost to evaporation every week. About 150,000 gallons of water enter the reservoir every week. The amount of water in the reservoir at the end of each week is given by the recursively defined sequence

w₀ = 300 w_n = (0.9993)w_n-1 + 0.15

Determine the amount of water in the reservoir at the beginning of the second week. That is, determine w₂.

Title: Lexington Reservoir has 300 million gallons of water. About 0.07% of the water is lost to ...
Post by: Jayson on Feb 28, 2021

299,880 gallons

Title: Re: Lexington Reservoir has 300 million gallons of water. About 0.07% of the water is lost to ...
Post by: RandomAccccccccc on Jun 13, 2023

Thank you!