Q and A for the topic: General

4√50

The current value of a bill maturing in 40 days is €12,561.50. Calculate the nominal value of this effect knowing that it was discounted at the rate of 2.75%.

7) Write the equation of the line tangent to the parabola with the equation y = x^2-3x + 5 and parallel to the line with the equation y = 2x. Then determine the coordinates of the intersection point. Do not use derivatives Solve by imposing zero discriminant and find k. To find the coordinates of the contact point solve the system formed by the parabola and the tangent line and find x0

consider the parabola of equation y=(a-3)x^2-2(a+1)x+a-1 with a E R. Determine for which values of a this parabola: 1) does not intersect the x axis at any point; 2) has the vertex with a negative abscissa; 3) has the concavity facing downwards; 4) passes through point P (-2; 4).

Is the function 𝑧 = 𝑓(𝑥,𝑦) = 2ln⁡(𝑥) + 2ln⁡(𝑦) − 𝑥𝑦 concave or convex? What is the domain of the function? And your image?

X ~ N(1, 2) σ = _______

The electric potential at 2 cm of a plate is V=12 V . If the plate measures 16 cm wide and 200 mm long. What is its electrical charge?

Find the amount that results from the given investment, 20$ invested at 7% compounded continuously for 4 years

If 1 litre cost £10.99 how much is the cost of 20 ml

A person wants to save for a year in an investment house that guarantees a 15.8% return compounded monthly. His salary is Q9000 per month and at the beginning of each month he deposits 15% of this. How much will you have at the end of a year?

Use the data given below, which shows the retirement ages for a sample of engineers, to construct a cumulative frequency distribution using SIX (6) classes. (8 marks) 60 65 68 63 66 67 69 67 58 65 67 61 63 65 62 64 73 50 61 71 62 69 72 63 B. Construct a cumulative frequency curve using the frequency distribution constructed in (A). (6 marks) C. Using your curve or otherwise determine: i. the median retirement age (2 marks) ii. the age that represents the 30th percentile, explain briefly what this value indicates

-3/4 + 1/3=

find the length of an arc with a central angle measure of 27 degrees

Determine the area of the region bounded by the curves Y= X^2 - X Y= 10 - X^2

We define the following random variables. Y is such that P(Y=−3)=0.3 and P(Y=7)=0.7. Z follows a binomial law with parameters 6, 0.8 E(Y)= E(−7Y)= E(Y+Z)=

determines for which values of k the parabola of equation y= x^2-2(k-3)x-k+15 has at least one point in common with the x axis and intersects the y axis at a point of positive ordinate

Find the area of ​​the resulting curved surface when the given curve y=1/4x^2+1/2lnx is rotated about the y-axis at 1≤ x ≤ 2.

Fruit Ltd makes 3 types of products: Cherry, Blueberry and Strawberry. Extracts from the budget for the next year are as follows: Cherry Blueberry Strawberry Demand and production (units) 2,000 3,000 4,000 The following information is per unit of each product Per unit Cherry Blueberry Strawberry AED AED AED Selling price 174 340 308 Materials 30 80 60 Labour 40 100 80 Variable overhead 24 60 48 Each product uses a standard material component called a seed. Seeds are 10 AED per unit. The company expects the total fixed cost budget to be AED 120,000 Required: Part (a). It has now been realised that there will only be 35,000 seeds available next year. Calculate the production plan that will maximise profit for Fruit Ltd for the next year. State what that plan will be (All workings must be shown

Find by substitution method 2x-y=3 3x-y=4

Find by substitution method 2x+y=1 3x-2y=12