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Assuming standard pressure and temperature.

Gas at standard temperature and pressure is 22.414L/Mole (This is independent of the composition of the gas).

N= (14.01g/mole)

O= (16.00g/mole)

14.01+16.00 =30.01g/mole for Nitric oxide (NO). (Gram Molecular mass of NO)

18.82L/(22.41L/mole) = 0.8397mole

0.8397 mole of (NO) (Number of moles of NO)

(30.01g/mole)*(0.8397mole) =25.198g Nitric oxide (NO). (Mass of NO sample)

_7UP_

Payment formula for ordinary annuities.

P= Payment per period (n).

PV= Present Valve. 

r =Rate per period.

P = r(PV)/(1-(1+r)^-n)

0.07*(160000)/(1-(1+0.07)^-11)=£21337.10

                                                 £21337

 _7UP_

(19 - 4) * 6 + 12 * 5 = 150

(19 - 4) * 12 - 6 * 5 = 150

Heureka, your maths are always amazing.

This simple problem demonstrates just how amazing!

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You posted this question twice.

If needed, bump the questions by posting an "answer" on it. Post Something like “Does anyone know how to answer this freaking question?!” That will get some attention.  

Here's the answer

If any or all of the invoice is paid in 10 days or less a 2% discount applies.

12,660.00 - 12,660.00(0.02) = $12,406.80 if paid in 10 or less days.

(Discount $253.20)

 Else

$12660.00 (minus credit, if any) due in 45 days or less.

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This “planet” has a gravity field higher than Jupiter. His whole body will “feel” nearly three times heaver. Unless this man was built like Arnold Schwarzenegger, he probably wouldn’t be able to lift his head without breaking his neck.

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The expanding spring continues to impart energy to the ball as long as there is contact. At separation, it no longer accelerates so that is the maximum velocity. After this point, the ball begins to decelerate, until it reaches the peak, where it stops, and the ball begins to accelerate in the opposite direction.

If this were a closed system, where the energy was not lost to friction, this ball would “bounce” indefinitely. It is the same reason why planets orbit a sun for billions of years. This kind of system has miniscule friction and gravitational perturbations.

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This is interesting.

I went to a science symposium where one of the lecturers spoke on cloning. The scientist explained why it is easier to clone a sheep, cow or a cat compared to other animals, like a dog or primates.

Looks like Puma really loves her kitten.

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Business maths (unlike finance) are not too difficult once you learn the terms and how to apply the related maths.

a) A 3% discount applies because it is paid within 30 days.

The Net amount due = net price - partial payment credit

Net amount = 28900 - 650 (Returned goods)= $28,250 (5000/0.97) reflects 3% discount

Net amount = 28250 - 5154.64

Net amount due = $23,745

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b) n/60 is the net date. It is 60 days from April 25 and that is June 24.

To conveniently count the days, you can use excel spread sheet or this link

There are 2 forces acting on the car. One is the force acting on the mass of the car from gravity (and the road supporting it). The other is centrifugal force which causes the car to move in a tangent to the angle of circular motion.

 Because there is no friction from the tires the forces will balance when

m(g) sin(theta) = m(v²)/r)cos(theta)

Rearranging and reducing this

r = (v²/g)cot(theta)

 or

r = (v²) / (g * tan(theta))

r = (16.667 m/s)² / ((9.81 m/s²) * (tan(20)))

r = (277.778 m²/s²) / ( 3.571 m/s² )

r = 77.8 m

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