Answer:
3.2%
Step-by-step explanation:
-Let r be the simple interest rate per annum.
-Given the total amount after 1 year is 1857.60, the initial amount is 1800
#We use the simple interest formula to find the rate of interest:
![Interest=Final\ Amount-Initial\ Amount\\\\=1857.60-1800\\\\=57.60\\\\I=Prt\\\\57.60=1800\times r\times 1\\\\r=\frac{57.60}{1800}\\\\=0.032\\\\=3.2\%](https://tex.z-dn.net/?f=Interest%3DFinal%5C%20Amount-Initial%5C%20Amount%5C%5C%5C%5C%3D1857.60-1800%5C%5C%5C%5C%3D57.60%5C%5C%5C%5CI%3DPrt%5C%5C%5C%5C57.60%3D1800%5Ctimes%20r%5Ctimes%201%5C%5C%5C%5Cr%3D%5Cfrac%7B57.60%7D%7B1800%7D%5C%5C%5C%5C%3D0.032%5C%5C%5C%5C%3D3.2%5C%25)
Hence, the annual interest rate on the deposit is 3.2%
Answer:
0.578 hours
Step-by-step explanation:
If boxes of books arrive at a rate of 1 per 8 minutes, the number of boxes per hour is:
![\mu =\frac{1}{8}*60=7.5/hour](https://tex.z-dn.net/?f=%5Cmu%20%3D%5Cfrac%7B1%7D%7B8%7D%2A60%3D7.5%2Fhour)
If the service rate is 1 box per 6.5 minutes, the number of boxes per hour is:
![\mu =\frac{1}{6.5}*60=9.231/hour](https://tex.z-dn.net/?f=%5Cmu%20%3D%5Cfrac%7B1%7D%7B6.5%7D%2A60%3D9.231%2Fhour)
The average time from when a box of novels arrives until shredding is complete is:
![t=\frac{1}{\mu-\lambda}=\frac{1}{9.231-7.5} \\t=0.578\ hours](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B1%7D%7B%5Cmu-%5Clambda%7D%3D%5Cfrac%7B1%7D%7B9.231-7.5%7D%20%5C%5Ct%3D0.578%5C%20hours)
The average time in the system is 0.578 hours.