The number of milligrams of a drug that remains in a patient’s system after t hours is given by the function A(t) = Iert. Juan was given 500 milligrams of medicine which leaves his bloodstream at a rate of 20%. How much of the medicine remains in his system after 6 hours?

Question

amistre64 · Answer

this one?

amistre64 · Answer

is that e^(rt) by chance?

anonymous · Answer

yes sorry this one

anonymous · Answer

and i'm not sure :/

amistre64 · Answer

it usually is; since its a "continous" type of effect

amistre64 · Answer

lets try it :)

initial is 500

rate is .2

and time is 6

$$A = 500e^{.2*6}$$

amistre64 · Answer

and you will need a calculator for that simply becasue e doesnt play nice

anonymous · Answer

ah wow thank you so muchhh!! what does e stand for though?

amistre64 · Answer

e is a symbol like pi; it represents a continuous rate of change

amistre64 · Answer

it has a value about 2.718

anonymous · Answer

Ok! So i just multiply that all together? Did you get 99.20?

amistre64 · Answer

http://www.google.com/search?sourceid=chrome&ie=UTF-8&q=500*e%5E%7B.2*6%7D#sclient=psy-ab&hl=en&source=hp&q=500*e%5E(.2*6)&psj=1&oq=500*e%5E(.2*6)&aq=f&aqi=h1&aql=&gs_sm=3&gs_upl=20565l24894l0l25460l12l12l0l0l0l2l558l2343l6.3.0.1.0.2l12l0&bav=on.2,or.r_gc.r_pw.,cf.osb&fp=c3fe1decc135fe9e&biw=1280&bih=923 wow that was alot of url more like 1660 but i see what I did wrong; i INCREASED it by 20% :) make that a -.2 150, 151 or so

anonymous · Answer

Oh okay! WOW thank you so much you are the best :) thank you!!

amistre64 · Answer

yw, and good luck :)

anonymous · Answer

thanks :)