Answer:
$7,658.82
Explanation:
<u>Sales Tax Calculations:</u>
Sales Tax Amount = Net Price x (Sales Tax Percentage / 100)
Total Price = Net Price + Sales Tax Amount
Net Price: $ 7,020.00
+Sales Tax (9.1%): $ 638.82
Total Price: $ 7,658.82
Therefore, the amount of tax that Jenise has to pay on her car is $7,658.82
Answer:
![2.27\cdot 10^{49}](https://tex.z-dn.net/?f=2.27%5Ccdot%2010%5E%7B49%7D)
Explanation:
The gravitational force between the proton and the electron is given by
![F_G=G\frac{m_p m_e}{r^2}](https://tex.z-dn.net/?f=F_G%3DG%5Cfrac%7Bm_p%20m_e%7D%7Br%5E2%7D)
where
G is the gravitational constant
is the proton mass
is the electron mass
r = 3 m is the distance between the proton and the electron
Substituting numbers into the equation,
![F_G=(6.67259\cdot 10^{-11} m^3 kg s^{-2})\frac{(1.67262\cdot 10^{-27}kg) (9.10939\cdot 10^{-31}kg)}{(3 m)^2}=1.13\cdot 10^{-68}N](https://tex.z-dn.net/?f=F_G%3D%286.67259%5Ccdot%2010%5E%7B-11%7D%20m%5E3%20kg%20s%5E%7B-2%7D%29%5Cfrac%7B%281.67262%5Ccdot%2010%5E%7B-27%7Dkg%29%20%289.10939%5Ccdot%2010%5E%7B-31%7Dkg%29%7D%7B%283%20m%29%5E2%7D%3D1.13%5Ccdot%2010%5E%7B-68%7DN)
The electrical force between the proton and the electron is given by
![F_E=k\frac{q_p q_e}{r^2}](https://tex.z-dn.net/?f=F_E%3Dk%5Cfrac%7Bq_p%20q_e%7D%7Br%5E2%7D)
where
k is the Coulomb constant
is the elementary charge (charge of the proton and of the electron)
r = 3 m is the distance between the proton and the electron
Substituting numbers into the equation,
![F_E=(8.98755\cdot 10^9 Nm^2 C^{-2})\frac{(1.602\cdot 10^{-19}C)^2}{(3 m)^2}=2.56\cdot 10^{-19}N](https://tex.z-dn.net/?f=F_E%3D%288.98755%5Ccdot%2010%5E9%20Nm%5E2%20C%5E%7B-2%7D%29%5Cfrac%7B%281.602%5Ccdot%2010%5E%7B-19%7DC%29%5E2%7D%7B%283%20m%29%5E2%7D%3D2.56%5Ccdot%2010%5E%7B-19%7DN)
So, the ratio of the electrical force to the gravitational force is
![\frac{F_E}{F_G}=\frac{2.56\cdot 10^{-19} N}{1.13\cdot 10^{-68}N}=2.27\cdot 10^{49}](https://tex.z-dn.net/?f=%5Cfrac%7BF_E%7D%7BF_G%7D%3D%5Cfrac%7B2.56%5Ccdot%2010%5E%7B-19%7D%20N%7D%7B1.13%5Ccdot%2010%5E%7B-68%7DN%7D%3D2.27%5Ccdot%2010%5E%7B49%7D)
So, we see that the electrical force is much larger than the gravitational force.
Answer:
0.7 hours
Explanation:
From the way back, we can calculate the distance between Irina's work and Irina's home. In fact, we know that the car takes 0.4 hourse traveling at 27 mph, so the distance covered should be
![d=vt=(27 mph)(0.4 h)=10.8 mi](https://tex.z-dn.net/?f=d%3Dvt%3D%2827%20mph%29%280.4%20h%29%3D10.8%20mi)
When Irina rides to work with her bike, she travels at a speed of 16 mph. So we can find the time she takes by dividing the total distance (10.8 miles) by her speed:
![t=\frac{d}{v}=\frac{10.8 mi}{16 mph}=0.7 h](https://tex.z-dn.net/?f=t%3D%5Cfrac%7Bd%7D%7Bv%7D%3D%5Cfrac%7B10.8%20mi%7D%7B16%20mph%7D%3D0.7%20h)
Answer: I like your profile picture
Explanation: