Q and A for the topic: General

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

An individual needs to pay three installments to pay off the purchase of land. Compound interest of 30% per semester is charged. The installments are R$120,000.00, R$180,000.00 and R$338,000.00 and mature in six months, one year and two years, respectively. These three payments can be replaced by a single payment, one year from now, in the amount, in reais, of:

Write the name of the compound, the developed, semi-developed and molecular formula of the alkane with five carbon atoms (specifying which one is each).

Compute cash paid for advertising: Advertising expense $62,000 Prepaid advertising, beginning of year 11,000 Prepaid advertising, end of year 15,000

Let x=7cot(x) with theta element of [-pi/2,0] A. Complete the right triangle B. Using right triangle in part A find sec(2theta) C. Using the right triangle in part A find cos(theta/2)

Water is leaking out of a reservoir so that the height of the water, h (in metres), satisfies the differential equation: dh/dt = - k h^(1/2), where time, t, is measured in hours and k is a particular case constant. Determine height of the water (in metres) after 25 hours, solving differential equation of the system numerically, using MATLAB. Use the following particular case data: initial water level was h0 = 4 m, and after 5 hrs it dropped to 3 m.

The sum of the perimeter of 2 different squares is 40cm. The difference between the area of the 2 squares is 40cm2. Find the length of the larger square

Mrs. Malones group of 13 students are lining up for recess. How many ways can all the students be ordered in line? How many ways can three of the students be ordered in line? Show all work

Explain why all 7-digit pointy numbers that are divisible by 3 must have their first digit divisible by 3.

a tractor's fuel consumption depends, among other things, on the tractor's speed. under certain conditions, a tractor's fuel consumption can be described by f(x) = 0.0010x^2 - 0.040x + 0.92 x > 0 where f(x) is fuel consumption in liters/km and x is the tractor's speed in km/h. Determine at which speed the fuel consumption is lowest according to the model.