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Sam works for £14 per hour. When Sam works more than 8 hours a day, he is paid overtime for each hour he works more than 8 hours at 1½ times his normal rate of pay. Sam worked for 12 hours. Work out the total amount of money Sam earned.

Find the wage received from normal rate= 8x14=112. We then find the wage received from working overtime by finding the number of extra hours worked (12-8=4) multiplied by the overtime wage of (1½ x14= 1.2...

Answered by Joseph C. • Maths tutor

5104 Views

Find the exact gradient of the curve y = ln(1-cos 2x) at the point with x-coordinate π/6.

The gradient to the curve is given by the derivative of the function y = f(x) = ln(1 - cos 2x). This function is a composition of two other functions so we need to use the chain rule to find the derivativ...

Answered by Archie R. • Maths tutor

6177 Views

How do I integrate tan^2 x?

Firstly, use the trigonometric formula tan²x = sec²x - 1, which you can easily derive from sin

Answered by Jakub C. • Maths tutor

7752 Views

A quarter circle has a radius of 8, calculate the area giving your answer in terms of pi

area of a circle = pi x radius^2
64pi/4 = 16pi
Student must be aware of the equation for the area of a circle and that they must divide by 4 to get the answer here

Answered by Sam D. • Maths tutor

7309 Views

2435 units of gas used in November, costing 4.12p per unit. The gas company also charge 9.43p per day. The total cost has an additional 5% in VAT. What is the gas bill for the month of November?

30 days in November; (30 X 9.43) = 282.9p (2435 X 4.12) = 10032.2p (10032.2 + 282.9) = 10315.1p 5% in VAT so total price is 105% of 10032.2p Convert 105% to decimal; 1.05 (1.05 X 10315...

Answered by Andrew G. • Maths tutor

3096 Views