Answer: $248.68
Step-by-step explanation:
Given
Money compounded according to
![\Rightarrow V=Pe^{rt}\\](https://tex.z-dn.net/?f=%5CRightarrow%20V%3DPe%5E%7Brt%7D%5C%5C)
Here, P=$127
r=4.2%
t=16 years
![\Rightarrow V=127e^{0.042\times 16}\\\\\Rightarrow V=127e^{0.672}=127\times 1.958\\\\\Rightarrow V=\$248.68](https://tex.z-dn.net/?f=%5CRightarrow%20V%3D127e%5E%7B0.042%5Ctimes%2016%7D%5C%5C%5C%5C%5CRightarrow%20V%3D127e%5E%7B0.672%7D%3D127%5Ctimes%201.958%5C%5C%5C%5C%5CRightarrow%20V%3D%5C%24248.68)
Value after 16 years is $248.68
Answer:
It will leave the sprinkler at speed of ![v_2=613.87m/sec](https://tex.z-dn.net/?f=v_2%3D613.87m%2Fsec)
Step-by-step explanation:
We have given internal diameter of the garden hose ![d_1=0.740in=1.8796cm](https://tex.z-dn.net/?f=d_1%3D0.740in%3D1.8796cm)
So radius ![r_1=\frac{d_1}{2}=\frac{1.8796}{2}=0.9398cm](https://tex.z-dn.net/?f=r_1%3D%5Cfrac%7Bd_1%7D%7B2%7D%3D%5Cfrac%7B1.8796%7D%7B2%7D%3D0.9398cm)
So area ![A_1=\pi r_1^2=3.14\times 0.9398^2=2.7733cm^2](https://tex.z-dn.net/?f=A_1%3D%5Cpi%20r_1%5E2%3D3.14%5Ctimes%200.9398%5E2%3D2.7733cm%5E2)
Water in the hose has a speed of 4 ft/sec
So ![v_1=4ft/sec=121.92cm/sec(As\ 1ft/sec\ =30.48cm/sec)](https://tex.z-dn.net/?f=v_1%3D4ft%2Fsec%3D121.92cm%2Fsec%28As%5C%201ft%2Fsec%5C%20%3D30.48cm%2Fsec%29)
Number of holes n = 36
Diameter of each hole ![d_2=0.1397cm](https://tex.z-dn.net/?f=d_2%3D0.1397cm)
So radius ![r_2=0.0698cm](https://tex.z-dn.net/?f=r_2%3D0.0698cm)
So area ![A_2=\pi r^2=3.14\times 0.0698^2=0.0153cm^2](https://tex.z-dn.net/?f=A_2%3D%5Cpi%20r%5E2%3D3.14%5Ctimes%200.0698%5E2%3D0.0153cm%5E2)
From continuity equation
![A_1v_1=nA_2v_2](https://tex.z-dn.net/?f=A_1v_1%3DnA_2v_2)
![2.7733\times 121.92=36\times 0.0153\times v_2](https://tex.z-dn.net/?f=2.7733%5Ctimes%20121.92%3D36%5Ctimes%200.0153%5Ctimes%20v_2)
![v_2=613.87m/sec](https://tex.z-dn.net/?f=v_2%3D613.87m%2Fsec)
Answer:
8/21
Step-by-step explanation:
Answer:
i think its c
Step-by-step explanation: