Jamal, usually gets 5.28 hours of sleep each night. A teacher wants him to get more sleep. During an experiment, Jamal needs to sleep 3 percent more each night than the previous night. The first night of the experiment, he successfully sleeps 3 percent more than the previous night. If this pattern continues, how much will Jamal need to sleep on the third night of the experiment?

Question

Mathematics

Dominick Branch

26 April, 20:44

Jamal, usually gets 5.28 hours of sleep each night. A teacher wants him to get more sleep. During an experiment, Jamal needs to sleep 3 percent more each night than the previous night. The first night of the experiment, he successfully sleeps 3 percent more than the previous night. If this pattern continues, how much will Jamal need to sleep on the third night of the experiment?

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Answers (1)

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Bradley Little · Answer 1

He will need to sleep 5.77 hours

Step-by-step explanation:

The first night, he slept 3 percent more than the previous night, meaning 5.28 + (5.28 x 3/100) = 5.28 + 0.1584 = 5.4384

The second night, he will need to sleep 3 percent more than the previous night, meaning 5.4384 + (5.4384 x 3/100) = 5.4384 + 0.163152 = 5.601552

The third night, he will need to sleep 3 percent more than the previous night, meaning 5.601552 + (5.601552 x 3/100) = 5.601552 + 0.16804656 = 5.76959856 = 5.77