Sam sells necklaces for $10 each. each necklace costs her $5 to make. she also has $5,000 in fixed costs per year for her jewelry business. how many necklaces must she sell in order to make a profit of $1,000 in one year? a. 200 b. 600 c. 100 d. 1200

profit = revenue - expenses

Filling in the given values, where n is the number of necklaces Sam must sell ...

... 1000 = 10n - (5n +5000)

... 6000 = 5n . . . . . . collect terms, add 5000

... 1200 = n . . . . . . . divide by 5

The appropriate choice is

... D. 1200

57 732

step-by-step explanation:

i dont really.know

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.