Write a function in terms of t that represents the situation. a company profit of $20,000 decreases by 13.4% each year

The profit function is .https://tex.z-dn.net/?f=P%28t%29%3D20000%280.866%29%5Et

Step-by-step explanation:

The exponential decay function is defined as

https://tex.z-dn.net/?f=P%28t%29%3Da_0%281-r%29%5Et

Where, a₀ is initial value, r is rate of change and t is time (in year).

From the given information it is noticed that the initial profit is $20,000 and it decreases by 13.4% each year.

The profit function is defined as

https://tex.z-dn.net/?f=P%28t%29%3D20000%281-%5Cfrac%7B13.4%7D%7B100%7D%29%5Et

https://tex.z-dn.net/?f=P%28t%29%3D20000%281-0.134%29%5Et

https://tex.z-dn.net/?f=P%28t%29%3D20000%280.866%29%5Et

Therefore the profit function is .

https://tex.z-dn.net/?f=P%28t%29%3D20000%280.866%29%5Et

what?

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4