Corey collected 4 pounds of newspaper on day 1. Each day after day 1, he collected 4 times the amount he had collected the previous day. On which day did he first collect over 1000

Question

Mathematics

Natalia Andersen

14 November, 11:14

Corey collected 4 pounds of newspaper on day 1. Each day after day 1, he collected 4 times the amount he had collected the previous day. On which day did he first collect over 1000

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Answers (1)

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Genie · Answer 1

Answer: On the 5th day he collected over 1000 pound

Step-by-step explanation:Let s be the first day

He collected4*4^s-1

1000 = 4*4^s-1

Divide both sides by 4

250=4^s-1

4^s-1/4 = 250

4s=1000

s*log4 = log1000

s=3 / (log4)

s=4.98 approximately 5