Let I am interest, r rate, t time and p principle,
l= prt
l= 5500(.115)(5 )= $3162.5 is the total amount of interest to pay.
Answer:
(4,0),(0,-12)
Step-by-step explanation:
Step-by-step explanation:
The slope of the given line is -3. Since perpendicular lines have slopes that are negative reciprocals of each other, the slope of the line we need to find is 1/3.
Substituting into point slope form, we get:
y + 6 = ⅓(x+6)
Answer:
The probability that a radio selected at random will last from 600 to 700 hours is 0.3413
Step-by-step explanation:
The playing life of a Sunshine radio is normally distributed
Mean =![\mu = 600 hours](https://tex.z-dn.net/?f=%5Cmu%20%3D%20600%20hours)
Standard deviation =![\sigma = 100 hours](https://tex.z-dn.net/?f=%5Csigma%20%3D%20100%20hours)
We are supposed to find the probability that a radio selected at random will last from 600 to 700 hours i.e.P(600<x<700)
Formula:![Z= \frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=Z%3D%20%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
At x = 600
![Z= \frac{600-600}{100}](https://tex.z-dn.net/?f=Z%3D%20%5Cfrac%7B600-600%7D%7B100%7D)
Z=0
![P(X](https://tex.z-dn.net/?f=P%28X%3C600%29%3DP%28z%3C0%29%3D0.5)
At x = 700
![Z= \frac{700-600}{100}](https://tex.z-dn.net/?f=Z%3D%20%5Cfrac%7B700-600%7D%7B100%7D)
Z=1
![P(X](https://tex.z-dn.net/?f=P%28X%3C700%29%3DP%28z%3C1%29%3D0.8413)
![P(600](https://tex.z-dn.net/?f=P%28600%3Cx%3C700%29%3DP%28x%3C700%29-P%28x%3C600%29%3D0.8413-0.5%3D0.3413)
Hence the probability that a radio selected at random will last from 600 to 700 hours is 0.3413