Answer:
Step-by-step explanation:
We will use the A=P*(1+r/n)^nt formula
P = 160,000
R = the rate 7%
N= the times compounded. Since it is annually it is 1
T = 8 years
Filling in the information...
A = 160,000 x (1 + .07)^1*8
= 160,000 x 1.07^8
= 160,000 x 1.71818617983
= 274909.788773
Round up as needed.
Please rate!
Answer:
10
Step-by-step explanation:
12-6+4
The solution to the given differential equation
is ,
, where c is constant of integration.
For given question,
We have been given a differential equation ![\frac{dy}{dx} = e^{4x+5y}](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%20e%5E%7B4x%2B5y%7D)
We know that for any real number a, m, n,
![a^{m + n} = a^m \times a^n](https://tex.z-dn.net/?f=a%5E%7Bm%20%2B%20n%7D%20%3D%20a%5Em%20%5Ctimes%20a%5En)
⇒ dy/dx =
× ![e^{5y}](https://tex.z-dn.net/?f=e%5E%7B5y%7D)
Separating the variables (x and its differential in one side and y and its differential in another side )
⇒
dy =
dx
⇒
dy =
dx
Integrating on both the sides,
⇒
dy =
dx
We know that, ![\int e^{ax}\, dx=\frac{e^{ax}}{a} +C](https://tex.z-dn.net/?f=%5Cint%20e%5E%7Bax%7D%5C%2C%20dx%3D%5Cfrac%7Be%5E%7Bax%7D%7D%7Ba%7D%20%2BC)
⇒
and ![\int e^{-5y}\, dy=\frac{e^{-5y}}{-5} +C](https://tex.z-dn.net/?f=%5Cint%20e%5E%7B-5y%7D%5C%2C%20dy%3D%5Cfrac%7Be%5E%7B-5y%7D%7D%7B-5%7D%20%2BC)
So the solution is,
, where c is constant of integration.
Therefore, the solution to the given differential equation
is ,
, where c is constant of integration.
Learn more about the differential equation here:
brainly.com/question/14620493
#SPJ4
Answer:
The area formulas for a triangle and a parallelogram require multiplying base by height.
A rectangle and parallelogram with the same base and height will have the same area.
Answer B! Hope this helps