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Calculate the percentage of the $360 that she spent on presents for her sisters.
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17. (b) (ii) Write down one number that is in set O, but not in set F.
Step 1: Recall the elements of set O and set F.
From the previous step, we have:
Step 2: Identify an element in O that is not in F.
Any number from the set is in O but not in F.
For example, the number 5.
One number that is in set O, but not in set F, is .
17. (b) (iii) Find .
Step 1: Determine the union of set F and set O.
The union includes all unique elements from both sets F and O.
Step 2: Count the number of elements in .
is the number of elements in the union.
Counting the elements: are 12 elements.
.
18. (a) In 2018, Gretal earned $32 000.
Part i· 1 step
She paid tax of 24% on these earnings. Work out the amount she paid in tax in 2018.
Calculate 24% of her earnings.
Tax amount = of
\32,0000.24 \times $32,000$7,680\boxed{$7,680}$.
Part ii\34,240$
\34,240$
In 2019, Gretal's earnings increased by 7%. Work out her earnings in 2019.
Calculate the increase in earnings.
Increase = of
\32,0000.07 \times $32,000$2,240$Add the increase to her 2018 earnings.
Earnings in 2019 = Earnings in 2018 + Increase
Earnings in 2019 =\32,000 + $2,240$34,240\boxed{$34,240}$.18. (b) Gretal invests $5 000 at a rate of 2% per year compound interest. Calculate the value of her investment after 3 years.
Use the compound interest formula.
The formula for compound interest is , where:
= final amount
= principal amount (rt$ = number of years (3)Substitute the values into the formula and calculate.
The value of her investment after 3 years is
\boxed{\5,306.04}$.18. (c) One month, Gretal spent a total of \frac{1}{5}\frac{2}{3}360 that she spent on presents for her sisters.
Calculate the amount spent on parents.
Amount for parents =
\frac{1}{5} \times \360 = $72$.Calculate the remaining money after buying presents for parents.
Remaining money =
\360 - $72 = $288$.Calculate the amount spent on friends.
Amount for friends =
\frac{2}{3} \times \288 = $192$.Calculate the amount spent on sisters.
Amount for sisters = Remaining money - Amount for friends
Amount for sisters =\288 - $192 = $96$.Calculate the percentage of the total spent on sisters.
Percentage for sisters =
Percentage for sisters =\frac{\96}{$360} \times 100%0.2666... \times 100%26.66...%$Round the percentage to one decimal place.
Percentage for sisters
The percentage of the \boxed{26.7%}$.
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