Final answer:
Sally will be charged £25.20 using her credit card for a £24 dress due to a 5% surcharge. Tom's original item cost was £80 before the same surcharge was applied. The expression 2/3 - (1/2)^2 + 1/9 is calculated step by step, resulting in 19/36.
Step-by-step explanation:
The first scenario involves a credit card surcharge. If Sally buys a dress for £24 and the company charges an extra 5% for credit card use, we calculate the total cost by multiplying the dress price by 1.05 (which represents the original price plus the 5% surcharge).
The calculation is as follows: £24 * 1.05 = £25.20.
Therefore, Sally will be charged £25.20 in total if she uses her credit card.
For Tom's scenario, he is charged a total of £84, which includes the 5% surcharge. To find the original price of the item before the surcharge, we divide the total price by 1.05:
The calculation for this is: £84 / 1.05 = £80.
Thus, the original price of the item Tom bought was £80.
Finally, when calculating 2/3 - (1/2)^2 + 1/9, we perform the operations step by step:
- Calculate the square of 1/2: (1/2)^2 = 1/4.
- Subtract the result from 2/3: 2/3 - 1/4.
- To subtract fractions, find a common denominator which is 12 in this case: (8/12) - (3/12) = 5/12.
- Add 1/9, which has a common denominator of 36: (5/12)*3 + (1/9)*4 = (15/36) + (4/36) = 19/36.
- So the final result is 19/36.
Therefore, 2/3 - (1/2)^2 + 1/9 equals 19/36.