Functions - practice problems
In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. The set of inputs is commonly referred to as the domain, while the set of outputs is referred to as the range.A function is typically represented by an equation that describes the relationship between the input and output. For example, the equation y = 2x + 1 describes a linear function, where y is the output and x is the input. The input (x) can be any real number, and for each value of x, there is a corresponding output (y) given by the equation.
Functions can also be represented graphically, with the input values on the x-axis and the output values on the y-axis. A graph of a function is a set of ordered pairs (x, y) that satisfy the equation.
There are different types of functions, such as polynomial functions, exponential functions (y=e^x), and trigonometric functions (sin,cos,tan ...), each with their own unique properties and behaviors.
Number of problems found: 5933
- Profit chain
If the manufacturer gains 10%, the wholesale dealer 15%, and the retailer 25% then what is the production cost of a washing machine whose retail price is 1000 eur? - The angles 6
If angles of a triangle are in the ratio 2 : 3 : 4. Find the value of each angle. - Dividing money 7
A: B: C is in the ratio of 3:2:5. How much money will C get out of Rs 1260? - Money sharing
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets 1000 USD more than D, what is B's share?
- Income comparing
Arnold's income is 60% more than that of Brandy. By what percent is Brandy's income less than Arnolds's? - The population 3
The population of a town is 126800. It increases by 15% in the first year and decreases by 20% in the second year. What is the population of the town at the end of 2nd year? - Single discount
Find the single discount equivalent to two successive discounts of 20% and 10% . - Tax info
The tax-free price of the jacket is €150 and the VAT rate is 24%. Calculate the VAT and Taxable price. - The mixture
If a 6 liters solution with concentration of 20% alcohol is mixed in a 4 liters solution of 60% concentration of alcohol. Find the percentage of alcohol in the mixture.
- An expensive watch
A watch when sold at a profit of 6% yields $ 870 more than when it is sold at a loss of 6% . Find the cost price of the watch. - Profit percentage
The ratio of cost price to selling price is 20 : 21. What is the profit percentage? - Bell curve
A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 62 - The salary 4
The salary of a worker is first increased by 5% and then it is decreased by 5% . What is the change in his salary? - Johnny 3
Johnny has $46,754 in a savings account that earns 14% annually. The interest is not compounded. To the nearest dollar, how much interest will he earn in 3 years?
- Error multiplication
In measuring the sides of a rectangle errors of 5% and 3% in excess are made. Find the error percent in the calculated area . - Roland 2
Roland sold his watch at 15% loss. If he had sold it for 210 USD more, he would have made a profit of 20%. Find the cost of price of the watch. - Remainder one
Find the least number, when divided by 2,3,4,5,6 and 7 leaves remainder 1 in each case. - The test 3
The provided test marks for a small class of student are as follows Don 70%, Jody 68%, Raz 65% and that of Max is not provided. If the class average is 75%, what is Max test marks? - Fraction or percent
Which is smaller, 0.3 or 25%?
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