Ajax buys 20 shares of stock at 20$ per share. the shares increase in value by 20%. he then sells 10 shares. after the shares decrease in value by 10%, he buys another 20 shares. the shares then all increase by 50%. determine the total dollar value of the 30 shares that ajax now owns.

$972

Step-by-step explanation:

Ajax buys 20 shares of stock at $20.

The cost of 20 shares = 20 × $20 = $400

The shares increase in value by 20%

Now the cost of 20 shares = 400 + (20%×400)

                                            = 400 + 80

                                            = $480

Cost per share =   = $24

He sells 10 shares = $20 × 10 = $240

Now he has 10 share costs $240

After the shares decrease in value by 10%, he buys another 20 shares.

Cost per shares after decrease by 10% = 24 - (10%×24)

                                                                 = 24 - 2.40

                                                                 = $21.60

He buys 20 shares and his remaining 10 shares = 20 + 10 = 30 shares

Cost of 30 shares = 21.60 × 30 = $648

The shares then all increase by 50% = 648 + (50% × 648)

                                                             = 648 + (0.5 × 648)

                                                             = 648 + 324

                                                             = $972

The total value of the 30 shares that Ajax own is $972

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.