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The value added tax rate of a product is 24 %. What is in that case the value added tax's percentage of the product's selling price?

The answer has 2 decimals


Trace the curve y=x³-x

The odds of Matthew doing his math homework is 13:7. What is the probability of Matthew doing his homework once in the next two days?


Two cylindrical wood are similar in shape and have diameters 9mm and 27mm.

(a) find the ratio of their masses.

(b) if the mass of the bigger wood is 30kg,find the mass of the smaller wood.


Two cylindrical drums have their volumes in ratio 8:27


a) Consider the following functional relation, f, defined as:


f : R \rightarrow R, f(x) = x2

Determine whether or not f is a bijection. If it is, prove it. If it is not, show why it is not.




b) Consider the set


F = {y | y = ax3 + b},


a, b being constants such that a \ne 0 and x \in R.
Is F equivalent to R? If so, prove it. If not, explain in details why it is not the case.

A report stated that the average age of commercial jets in country X is 14 years. An executive of a large airline company selects a sample of 36 planes and finds that the average age of the plane is 11.8 years. The standard deviation of the sample is 2.7 years. At 0.01 level of significance can it be concluded that the average age of the planes in his company is less than the national average. 


A recent survey found that 54.7% of the population own their homes. In a random sample of 150 heads of households, 92 responded that they owned their homes. At 0.01 level of significance does that indicate a difference from the national proportion. 


the angle of elevation to the top of a 10 story skyscraper is measured to be 3 degrees from a point on the ground 2,000 feet from the building. what is the height of the skyscraper to the nearest hundreth foot.


The selling price of an alarm clock contains 5.60 € value added tax. Calculate the price without the value added tax when the tax rate is 24 %.


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