Mathematics, 19.12.2019 05:31, Thefiles

You ingest 200 mg of medicine and your body removes 15% of it per hour. how long until there is only 40 mg left?

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answered: babyari18

The time after which only 40 mg of medicine left inside body is 9.8 hours

Step-by-step explanation:

Given as :

The initial quantity of medicine ingest in body = i=200 mg

The final quantity of medicine in body = f= 40 mg

The rate at which body remove medicine = r = 15%

Let The time taken to remove = t hours

According to question

The final quantity of medicine in body after t hours = The initial quantity of medicine ingest in body × $(1-\dfrac{\textrm rate}{100})^{\textrm time}$

I.e f = i × $(1-\dfrac{\textrm r}{100})^{\textrm t}$

Or, 40 mg = 200 mg × $(1-\dfrac{\textrm 15}{100})^{\textrm t}$

Or, $\dfrac{40}{200}$ = $(1-\dfrac{\textrm 15}{100})^{\textrm t}$

Or , 0.2 = $(\frac{100 - 15}{100})^{t}$

Or, $(\frac{85}{100})^{t}$ = 0.2

Taking Log both side

So, $Log_{10}$ $(\frac{85}{100})^{t}$ = $Log_{10}$ 0.2

Or, t × $Log_{10}$ 0.85 = $Log_{10}$ 0.2

Or, t (-0.07) = - 0.69

∴ t = $\dfrac{.69}{.07}$

I.e t = 9.8 hours

So, The time after which only 40 mg left inside body = t = 9.8 hours

Hence,The time after which only 40 mg of medicine left inside body is 9.8 hours .Answer

answered: Guest

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

answered: Guest

1. sometimes

2. never true

3. sometimes

step-by-step explanation:

these are pretty self explanatory if you know what supp right and com angles are

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You ingest 200 mg of medicine and your body removes 15% of it per hour. how long until there is only...