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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Mathematics

27 April, 07:57

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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Elisabeth Stokes · 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