MHB Percentage & Sales Story Problem

  • Thread starter Thread starter Cherished
  • Start date Start date
AI Thread Summary
Andrew purchased a camera originally priced at $120, which was discounted by 20%, resulting in a sale price of $96. After applying an 8% sales tax on the discounted price, the tax amounted to $7.68. The total amount Andrew paid for the camera, including tax, was $103.68. Understanding percentages is crucial for calculating discounts and taxes accurately. The final cost reflects both the discount and the added sales tax.
Cherished
Messages
1
Reaction score
0
Andrew bought a camera on sale at a 20% discount. It was marked down from its regular price of $120. If there is an 8% sales tax on the sale price, how much did Andrew pay for the camera?
 
Mathematics news on Phys.org
That's pretty straight forward if you understand what percentages are! 20% of \$240 is 0.20 times 240= \$48. Since \$240 is discounted by that much, the sale price is \$240- 48= \$192. 8% of that sales price is 0.08 times \$192= \$15.36. Add that tax to the sales tax: \$192.00+ 15.36= \$207.36.
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
Is it possible to arrange six pencils such that each one touches the other five? If so, how? This is an adaption of a Martin Gardner puzzle only I changed it from cigarettes to pencils and left out the clues because PF folks don’t need clues. From the book “My Best Mathematical and Logic Puzzles”. Dover, 1994.
Thread 'Imaginary Pythagoras'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...

Similar threads

Replies
2
Views
1K
Replies
4
Views
2K
Replies
3
Views
1K
Replies
8
Views
5K
Replies
1
Views
4K
Replies
1
Views
2K
Replies
1
Views
2K
Back
Top