(plz, im desperate! )a certain bakery has found that the daily demand for bran muffins is 7700/p, where p is the price of a muffin in cents. the daily supply is 3p-100. find the price at which supply and demand are equal.

P = 70 cents per muffin

Step-by-step explanation:

It says to find the price when the supply and demand are equal, so you have to set the two equations equal to each other.

7700/p = 3p-100.

It seems to me that the best way to solve this would be to set up a quadratic equation.

If you multiply both sides by p and then subtract 7700, you get the following:

0=3p^2 -100p -7700

I wrote a program to solve this, and I got the answers p= 70 and -36.67.

Obviously, a negative number doesn’t work in this situation, so the answer is 70 cents per muffin. To check this, you can plug it back into the equation:

7700/70=3(70)-100

110=110

  3.62 units

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between the side adjacent to the angle and the hypotenuse:

  Cos = Adjacent/Hypotenuse

  cos(34°) = AB/AC

  AC = AB/cos(34°) = 3/cos(34°) ≈ 3.619 ≈ 3.62 . . . units

For right triangle ABC with A an angle of 34°, AB of length 3, and AC the hypotenuse.