To measure the potential difference across a resistor, the potentiometer must be connected in parallel with the resistor.

The potential gradient is calculated as the potential difference divided by the length of the wire: 12 V / 6 m = 2 V/m.

The potential gradient is calculated as V/L = 12V/4m = 3 V/m.

Using Ohm's law, V = IR = 0.5 A * 10 ohms = 5 V.

Let original price be x. Then, x + 0.15x = 1150 => 1.15x = 1150 => x = 1150 / 1.15 = $1,000.

In 15 minutes, the printer can print 20 pages/minute * 15 minutes = 300 pages.

Loss = Cost Price - Selling Price = 150 - 120 = 30. Loss Percentage = (Loss/Cost Price) * 100 = (30/150) * 100 = 20%.

Loss = Cost Price - Selling Price = $150 - $120 = $30. Percentage loss = (Loss/Cost Price) * 100 = ($30/$150) * 100 = 20%.

Loss = Cost Price - Selling Price = 300 - 270 = 30. Loss Percentage = (Loss/Cost Price) * 100 = (30/300) * 100 = 10%.

Discount = 20% of 150 = 0.2 * 150 = $30. Selling Price = Marked Price - Discount = 150 - 30 = $120.

Discount = 15% of 200 = 0.15 * 200 = 30. Selling Price = Marked Price - Discount = 200 - 30 = 170.

Selling Price = $500 - (30% of $500) = $500 - $150 = $350. Since Selling Price = Cost Price, there is no profit or loss.

Discount = Marked Price - Selling Price = 500 - 450 = 50. Discount Percentage = (50/500) * 100 = 10%.

Let the cost price be x. Selling Price = Cost Price - Loss = x - 0.1x = 0.9x. 0.9x = 90, x = 90/0.9 = 100.

Let the cost price be x. Then, 80 = x - (20% of x) => 80 = x - 0.2x => 80 = 0.8x => x = 100.

Let the original price be x. Selling Price = x - 20% of x = x - 0.2x = 0.8x. Therefore, 0.8x = 120. x = 120 / 0.8 = 150.

Let the original price be x. Selling Price = x - 0.10x = 0.90x. So, 0.90x = 150. Therefore, x = 150 / 0.90 = 166.67, approximately $160.

Let the marked price be x. After a 25% discount, the selling price is x - (0.25 * x) = 0.75x. Setting this equal to $150 gives 0.75x = $150, so x = $200.

Let the original price be x. After a 25% discount, the selling price is x - (0.25 * x) = 0.75x. Thus, 0.75x = $150, so x = $150 / 0.75 = $200.

Let the cost price be x. Selling Price = x + 50% of x = 150. Thus, 1.5x = 150, so x = 100.

Percentage Decrease = ((Original Price - New Price) / Original Price) * 100 = ((80 - 64) / 80) * 100 = (16 / 80) * 100 = 20%.

A price elasticity of -2 indicates elastic demand, meaning consumers are sensitive to price changes.

A price elasticity of -2 indicates that demand is elastic, meaning quantity demanded changes significantly with price changes.

Percentage Increase = ((New Price - Old Price) / Old Price) * 100 = (($25 - $20) / $20) * 100 = 25%.

Let the original price be $100. After a 15% increase, the price is $115. After a 15% decrease, the price is $97.75. Net change = (97.75 - 100)/100 * 100 = -2.25%.

Let the original price be 100. After a 20% increase, the price becomes 120. After a 20% decrease, the price becomes 120 - 24 = 96. The net change is (96 - 100) / 100 * 100% = -4%.

Contingency amount = 15% of $1,000,000 = $150,000.

There are 2 days left until the project is due on Friday.

The total work is 5 * 40 = 200 worker-days. With 10 workers, it will take 200 / 10 = 20 days.

The project will finish on Friday, 5 days after starting on Monday.