Answer:
Step-by-step explanation:
Given that acceleration of an object is

is the solution to the differential equation
Since v(0) =7
we get ln 7 = C
Hence 
since velocity is rate of change of distance s we have
![v=\frac{ds}{dt} =7e^{-2t}\\s= [tex]s(t) =\frac{-7}{2} (e^{-2t})+C)[](https://tex.z-dn.net/?f=v%3D%5Cfrac%7Bds%7D%7Bdt%7D%20%3D7e%5E%7B-2t%7D%5C%5Cs%3D%20%5Btex%5Ds%28t%29%20%3D%5Cfrac%7B-7%7D%7B2%7D%20%28e%5E%7B-2t%7D%29%2BC%29%5B)
substitute t=0 and s=0

So solution for distance is

A number is 2/3 of another number. Both added together equals 50.
One of these numbers consists of three parts, and the other consists of two of those three parts. So, there are 5 equal parts in total.
Thus we need to divide 50 by 5. 50 divided by 5 equals <u>10</u>.
The first number, which has three parts, is 30. The second number, which as two parts, is 20.
I hope this makes sense to you. :D Good luck in all your studies!
Answer:
yes
Step-by-step explanation:
Answer:
The amount after 8 years is $ 16,031.579
Step-by-step explanation:
Given as :
The Principal invested = $ 16000
The rate of interest compounded daily = 9 %
The time period = 8 years
Let The amount after 8 years = $ A
<u>From Compounded method </u>
Amount = Principal invested × 
Or, Amount = 16000 × 
Or, Amount = 16000 × 
∴ Amount = $ 16,031.579
Hence The amount after 8 years is $ 16,031.579 Answer
Answer:
.83
Step-by-step explanation:
if brainiest is earned its greatly Appreciated