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. 600 b. 200 c. 100 d. 1200

Option D. 1200

Step-by-step explanation:

The making cost of necklaces = $5.00 each

Selling price of necklaces = $10.00 each

Sam's fixed costs per year for her jewelry business = $5,000

Let x be the number of necklaces, she sells in order to make a profit of $1,000 in a year.

Cost price of x necklaces = 5x + 5000

Selling price of x necklaces = 10x

We know that Profit = selling price - cost price

Profit = 1000 = 10x - (5x + 5000)

1000 = 10x - 5x - 5000

1000 = 5x - 5000

5x = 1000 + 5000

5x = 6000

x = 1200

Sam must sell 1200 necklaces in order to make a profit of $1000.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

just sum

10 + 10 = 20