Awoman purchased a used car for $6000 she decided to sell the car for 40% above her purchase price. she could not sell the car so she reduced
her asking price by 40% if she sells the car at the reduced price, will she have a profit or a loss or will she break even?

loss by $960

Step-by-step explanation:

The purchase price of the car = $6000   (A)

The percentage increment = 40%

Hence increment = 40% of $6000

= 0.40 x $6000

=$2400

Hence New Selling price for the lady = $6000+$2400= $8400

now as she was unable to sell the ca at this price. The price was educed by 40%

Hence reduced price = 40% of new selling price

=40% of $8400

=0.40 x $8400

=$3360

Hence Final Selling price = $8400 - $3360

= $5040  (B)

Since

(A) > (B)

Purchase price is bigger than the final sold price

Thee will be loss by $6000-$5040= $960

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

the answer would be a 24

step-by-step explanation:

c=2πr=2·π·3=24