Equation:
y=6,000(1.05)^5
Answer:
7657
Answer: 7
Step-by-step explanation: its correct, trust me
Answer: Time taken by him in going = 8 hours
Time taken by him in returning = 9 hours
Step-by-step explanation:
Let the total distance from home to New York is x miles,
![\text{ Since, Time} = \frac{\text{Distance}}{\text{Speed}}](https://tex.z-dn.net/?f=%5Ctext%7B%20Since%2C%20Time%7D%20%3D%20%5Cfrac%7B%5Ctext%7BDistance%7D%7D%7B%5Ctext%7BSpeed%7D%7D)
Also, he drove his car from his home to New York at the rate of 45 mph,
⇒ ![\text{ Time taken by him in going } = \frac{x}{45}\text{ hours}](https://tex.z-dn.net/?f=%5Ctext%7B%20Time%20taken%20by%20him%20in%20going%20%7D%20%3D%20%5Cfrac%7Bx%7D%7B45%7D%5Ctext%7B%20hours%7D)
And, returned over the same road at the rate of 40 mph.
⇒ ![\text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}](https://tex.z-dn.net/?f=%5Ctext%7B%20Time%20taken%20by%20him%20in%20returning%20%7D%20%3D%20%5Cfrac%7Bx%7D%7B40%7D%5Ctext%7B%20hours%7D)
According to the question,
Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours, ( 1 hours = 60 minutes )
⇒ ![\frac{x}{40}-\frac{x}{45}=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B40%7D-%5Cfrac%7Bx%7D%7B45%7D%3D%5Cfrac%7B1%7D%7B2%7D)
⇒ ![\frac{9x}{360}-\frac{8x}{360}=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B9x%7D%7B360%7D-%5Cfrac%7B8x%7D%7B360%7D%3D%5Cfrac%7B1%7D%7B2%7D)
⇒ ![\frac{x}{360} = \farc{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B360%7D%20%3D%20%5Cfarc%7B1%7D%7B2%7D)
⇒ ![2x=720](https://tex.z-dn.net/?f=2x%3D720)
⇒ ![x=360\text{ miles}](https://tex.z-dn.net/?f=x%3D360%5Ctext%7B%20miles%7D)
Hence, the total distance from home to New York = x miles = 360 miles
⇒ ![\text{ Time taken by him in going } = \frac{x}{45}\text{ hours}](https://tex.z-dn.net/?f=%5Ctext%7B%20Time%20taken%20by%20him%20in%20going%20%7D%20%3D%20%5Cfrac%7Bx%7D%7B45%7D%5Ctext%7B%20hours%7D)
![=\frac{360}{45}=8\text{ hours}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B360%7D%7B45%7D%3D8%5Ctext%7B%20hours%7D)
⇒ ![\text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}](https://tex.z-dn.net/?f=%5Ctext%7B%20Time%20taken%20by%20him%20in%20returning%20%7D%20%3D%20%5Cfrac%7Bx%7D%7B40%7D%5Ctext%7B%20hours%7D)
![=\frac{360}{40}=9\text{ hours}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B360%7D%7B40%7D%3D9%5Ctext%7B%20hours%7D)
Answer:
0.430
Step-by-step explanation:
Product has four parts :
For proper functioning, each part must function :
Let the 4 parts be:
A, B, C and D
Proper functioning probability :
A and B = 0.79
C and D = 0.83
For proper functioning :
P(A) * P(B) * P(C) * P(D)
0.79 * 0.79 * 0.83 * 0.83
= 0.42994249
= 0.430