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Patri borrows money from Zanele at a simple discount rate of 9.75% per annum. He must pay him R35 000 in 27 months' time. The amount of money that he receives from Zanele now is
Find a general solution for the differential equation -y''=6x+xe^x (a) using the method of undetermined coefficients. (b) using variation of parameters
dy/dx + 4y= 8
Find the maximum possible domain and the corresponding range of the quotient functionf/g
where R → R:f are defined by f(X,y)=4xy and g(X,y)= x3+y3
A researcher studies the effectiveness of a particular strategy. Prior to the administration of the strategy, a pretest was given to the sample of 16 students and then a posttest was given after. Are the scores in the posttest significantly higher than the scores in the pretest? The following table summarizes the scores of the 16 students in both tests: (p-value = 0.0056)
A researcher studies the effectiveness of a particular strategy. Prior to the administration of the strategy, a pretest was given to the sample of 16 students and then a posttest was given after. Are the scores in the posttest significantly higher than the scores in the pretest? The following table summarizes the scores of the 16 students in both tests: (p-value = 0.0056)
- There are 49 dogs signed up for a dog show. There are 36 more small dogs than large dogs. How many small dogs have signed up to compete?
This question comes directly from a second grader's math homework.
The sketch shows the graph of a function f, which is a straight line defined by y = mx + k such that the point V (-3,4) lies on the line, and the graph of a function g, which is a parabola with vertex R. The straight line and parabola intersect at P and Q. The points S and T lie on the parabola and straight line , respectively, between P and Q. The line ST is parallel to the y-axis.
1. Calculate m and k , and hence write down the equation for f.
2. Find the equation of the parabola.
3. Find the maximum length of ST . At what value of x will ST be at its longest?
4. What is the equation of the circle with center P and radius equal to the distance from P to the origin?
5. What is the equation of the hyperbola through the point V?
6. Use the graph to solve the inequality (f.g)(x)<0.
determine the approximate age of a piece of burned wood, if it was found that 85.5% of the C-14 found in living trees of the same type had decayed.
It is claimed that the average weight of a bag of biscuits is 250 grams with a standard deviation of 20.5 grams. Would you agree to this claim if a random sample of 30 bags of biscuits showed an average weight of 240 grams, What is the tabular value if the level of significance is 5%?
