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Mathematics 13 Online
OpenStudy (anonymous):

A certain medication is eliminated from the bloodstream at a rate of about 12% per hour. The medication reaches a peak level in the bloodstream of 40 mg. Predict the amount, to the nearest tenth of a milligram, of the medication remaining 2 hours after the peak level and 3 hours after the peak level.

OpenStudy (♪chibiterasu):

After 1 hour, the level has decreased 12%, so the remaining amount is 88%, or 0.88 of the original. (Write this as 0.88m, where m is the starting level.) After 2 hours, the level is 0.88 of the 1-hour level: (0.88)(0.88)(m), or (0.88)²m. After 3 hours, it's (0.88)(0.88)(0.88)m, or (0.88)³m. For m = 40 mg, the 2-hour level is (0.88)²(40 mg) = 30.976 mg. Round this to 31.0 mg. The 3-hour level is (0.88)³(40 mg) = 27.259 mg. Round this to 27.3 mg.

OpenStudy (anonymous):

Thanks!

OpenStudy (♪chibiterasu):

No problem :3

OpenStudy (anonymous):

Have another one. If you don't mind,

OpenStudy (♪chibiterasu):

Sure.

OpenStudy (anonymous):

The population of Tokyo-Yokohama, Japan, was about 28,447,000 in 1995 and was projected to grow at an annual rate of 1.1%. Predict the population, to the nearest hundred thousand, for the year 2004.

OpenStudy (anonymous):

Any idea?

OpenStudy (♪chibiterasu):

You will take 1.1 percent of 28,447,000 which is 312,917. Then you would multiply 312,917 times the number of years.... which is 9. Then you add that number which is 2,816,253 to your original total: 24,447,000 + 2,816,253 = 27,263,253

OpenStudy (anonymous):

That's it? Wow!

OpenStudy (♪chibiterasu):

Yep :3

OpenStudy (anonymous):

You are lots of help. :D

OpenStudy (♪chibiterasu):

Thank you :3

OpenStudy (♪chibiterasu):

If that's the last one you can close the question now.

OpenStudy (anonymous):

You are good. Thanks again. :)

OpenStudy (♪chibiterasu):

Your welcome ;3

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