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maxonik [38]
2 years ago
10

Naty bought a dress for $24.95 and a skirt for $14.95.

Mathematics
1 answer:
FrozenT [24]2 years ago
7 0

Answer:

Total items = $39.90

Sales tax amount = $3.7905

Total cost = $43.691

The clerk's error is using 9.5 as sales tax amount instead of finding 9.5% of the total items

Step-by-step explanation:

Dress = $24.95

Skirt = $14.95

steps the clerk completed.

Step 1: 24.95 + 14.95 = 39.90

Step 2: 39.90 +9.5 = 49.40

Correct steps:

Total items = dress + skirt

= $24.95 + $14.95

= $39.90

Sales tax = 9.5%

Sales tax amount = 9.5% of total

= 9.5/100 × $39.90

= 0.095 × 39.90

= $3.7905

Total cost = Total + sales tax amount

= $39.90 + $3.7905

= $43.6905

To the nearest hundredth

= $43.691

Sales tax is the amount of money imposed by government on the sales of some items

Total cost is the cost of all items including sales tax

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Answer:

(a) h = \frac{2400}{w}

(b)300 Hours

(c)150 Hours

(d)Reduced and halved.

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Step-by-step explanation:

(a) The number of hours worked is inversely proportional to the wage.

This is written as:

h \propto \frac{1}{w} \\\text{Introducing variation constant k}\\h = \frac{k}{w}\\$Since the money to be raised is constant, k = $ \$2400\\Therefore, h = \frac{2400}{w}

(b)If the student earns $8 an hour

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\text{Number of Hours required, h} = \frac{2400}{8} =300 Hours

(c)When the wage per hour =$16

When w=$16

\text{Number of Hours required, h} = \frac{2400}{16} =150 Hours

The number of hours reduced and is in fact halved.

(d)

\text{When the wage per hour =w}, h = \frac{2400}{w}\\\text{When the wage per hour =2w}, h = \frac{2400}{2w}=\frac{1}{2}  X \frac{2400}{w} =\frac{h}{2}

The effect of raising the wage from $w to $2w per hour is that the number of hours required to work is reduced and exactly halved.

(e)The wage per hour is inversely proportional to the number of hours.

In fact,

\text{From h = }\frac{2400}{w}\\\text{Cross Multiplying}\\hw=2400\\\text{Dividing both sides by h}\\w = \frac{2400}{h}

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3 years ago
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Answer:

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3m² + 2p² - 15

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3 years ago
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