Answer:
Step-by-step explanation:
You have not provided the choices.
Factor each term into powers of primes and variables:
56x = 2³·7x
40y = 2³·5y
48z = 2⁴·3z
Greatest common factor = 2³ = 8
56x + 40y - 48z = 8(7x + 5y - 6z)
Answer:
2,000
4,000
7,000
put points on (2, 2,000) - (4, 4,000) - and (7, 7,000)
Step-by-step explanation:
Denote by A the event "A new oil filter is needed"
Denote by B the event " The car oil is being changed"
We have the formula:
![P(A/B)=\frac{P(A\cap B)}{P(B)}\text{ also }P(B)=1-P(\bar{B})=1-0.3=0.7\\P(A\cap B)=0.10\text{ (Given)}\\\text{Now we can evaluate the probability:}\\P(A/B)=\frac{0.10}{0.7}=0.14](https://tex.z-dn.net/?f=P%28A%2FB%29%3D%5Cfrac%7BP%28A%5Ccap%20B%29%7D%7BP%28B%29%7D%5Ctext%7B%20also%20%7DP%28B%29%3D1-P%28%5Cbar%7BB%7D%29%3D1-0.3%3D0.7%5C%5CP%28A%5Ccap%20B%29%3D0.10%5Ctext%7B%20%28Given%29%7D%5C%5C%5Ctext%7BNow%20we%20can%20evaluate%20the%20probability%3A%7D%5C%5CP%28A%2FB%29%3D%5Cfrac%7B0.10%7D%7B0.7%7D%3D0.14)
. "
Answer:
The initial investment was of $3,610.
Step-by-step explanation:
The continuous interest formula is:
![P(t) = P(0)e^{rt}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20P%280%29e%5E%7Brt%7D)
In which P(t) is the amount of money after t years, P(0) is the initial amount invested and r is the fixed interest rate.
6.79% compounded continuously.
This means that ![r = 0.0679](https://tex.z-dn.net/?f=r%20%3D%200.0679)
After 20 years, the balance reaches $14,037.16.
This means that ![t = 20, P(t) = 14,037.16](https://tex.z-dn.net/?f=t%20%3D%2020%2C%20P%28t%29%20%3D%2014%2C037.16)
What was the amount of the initial investment?
This is P(0).
![P(t) = P(0)e^{rt}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20P%280%29e%5E%7Brt%7D)
![14037.16 = P(0)e^{0.0679*20}](https://tex.z-dn.net/?f=14037.16%20%3D%20P%280%29e%5E%7B0.0679%2A20%7D)
![P(0) = \frac{14037.16}{e^{0.0679*20}}](https://tex.z-dn.net/?f=P%280%29%20%3D%20%5Cfrac%7B14037.16%7D%7Be%5E%7B0.0679%2A20%7D%7D)
![P(0) = 3610](https://tex.z-dn.net/?f=P%280%29%20%3D%203610)
The initial investment was of $3,610.
Answer: 40
Step-by-step explanation:
15 / 37.5 x 100 = 40