Hakim invests $700 in a bank that pays 5% simple interest annually. after one year he uses the money in his account to buy a computer. the original cost of the computer is $750 the computer is on sale for a 20% discount off of the original cost. the sales tax is 4% of the sale price. after purchasing the computer, how much does hakim have left in his bank account?

  $111

Step-by-step explanation:

The bank balance is ...

  $700 × (1 + 0.05) = $735

The cost of the computer is ...

  $750 × (1 -0.20) × (1 +0.04) = $624

The remaining bank balance after paying for the computer is ...

  $735 -624 = $111

When you add a percentage, you effectively multiply by the sum of 1 and that percentage. The same is true if the amount "added" is negative (as for a discounted price).

  (original amount) + (percentage)×(original amount)

Use the distributive property to factor out the original amount:

 = (original amount)×(1 + percentage)

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step-by-step explanation: