Ben uses a compass and straightedge to bisect segment PQ, as shown: segment PQ with compass open to greater than half of segment
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The net change, in dollars, in total sales was -60
Step-by-step explanation:
A shop recorded total sales of $2,000 on Monday
- On Tuesday, its sales fell by 10%
- On Wednesday, sales fell by another 20% compared with Tuesday
- From Wednesday to Thursday, sales increased by an amount equal to 25% of Monday’s total sales
We need to find the net change in total sales from Monday to Thursday
∵ The total sales in Monday = $2000
∵ The total sales fell by 10% on Tuesday
∵ 2000 × 10% = 2000 × = 200
∴ The total sales fell by $200 on Tuesday
∴ The total sales on Tuesday = 2000 - 200 = 1800
∴ The total sales on Tuesday is $1800
∵ On Wednesday, sales fell by 20% compared with Tuesday
∵ The total sales on Tuesday = $1800
∵ 1800 × 20% = 1800 × = 360
∴ The total sales fell by $360 on Wednesday
∴ The total sales on Wednesday = 1800 - 360 = 1440
∴ The total sales on Wednesday is $1440
∵ The sales increased by an amount equal to 25% of Monday’s
total sales from Wednesday to Thursday
∵ The total sales on Monday = $2000
∵ 2000 × 25% = 2000 × = 500
∴ The total sales increased by $500 from Wednesday to Thursday
∵ The total sales = $1440 on Wednesday
∴ The total sales from Wednesday to Thursday = 1440 + 500 = 1940
∴ The total sales from Wednesday to Thursday is $1940
∵ The net of change = The total sales on Thursday - the total sales
on Monday
∵ The total sales on Monday = $2000
∵ The total sales on Thursday = $1940
∴ The net change = 1940 - 2000 = -60
∴ The net change from Monday to Thursday is - $60
The net change, in dollars, in total sales was -60
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