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Elan Coil [88]
3 years ago
9

A cashier has a total of 30 bills, consisting entirely of $1 bills, $5 bills, and $20 bills. The total dollar amount of these bi

lls is $351. There are nine more $20 bills that $1 bills. How many of each bill denomination are there?
Mathematics
1 answer:
kolbaska11 [484]3 years ago
6 0

Answer:

Five= 9 One= 6 Twenty= 15

Step-by-step explanation:

A cashier has a total of 30 bills, made up of ones, fives, and twenties.

o+f+t=30,

The number of twenties is 9 more than the number of ones.

t=9+o,

The total value of the money is $351.

o+5f+20t=351

so we have

o+f+t=30, t=9+o,

o+5f+20t=351

f = 9, o = 6, t = 15

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9514 1404 393

Answer:

  (a, b, c) = (-0.425595, 11.7321, 2.16667)

  f(x) = -0.425595x² +11.7321x +2.16667

  f(1) ≈ 13.5

Step-by-step explanation:

A suitable tool makes short work of this. Most spreadsheets and graphing calculators will do quadratic regression. All you have to do is enter the data and make use of the appropriate built-in functions.

Desmos will do least-squares fitting of almost any function you want to use as a model. It tells you ...

  a = -0.425595

  b = 11.7321

  c = 2.16667

so

  f(x) = -0.425595x² +11.7321x +2.16667

and f(1) ≈ 13.5

_____

<em>Additional comment</em>

Note that a quadratic function doesn't model the data very well if you're trying to extrapolate to times outside the original domain.

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