Hello Everyone I need answers of my assigment which very important for me and please only High Capable Tutors help me I mean who have more than 500+ Question answered before and really can help me...Btw it's kind of Bussiness Math Kinda Financial but in the end this is my Math Assigment. Like I said its really important for me ...  (Business-Finance-Math)

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ASSIGNMENT 2

 

Geraldine wants to buy a new laptop in two and a half years’ time. She deposits R1 575,52 at the end of every three months into her savings account. The account earns interest at a rate of 9% per annum, compounded quarterly.

 

Question 1

The amount of money that she will have available after two and a half years to buy the laptop is?

Question 2

The amount of interest that Geraldine will receive from the bank during the period of her investment is?

Question 3

For the next two years Tumelo needs to withdraw the same amount of money from his bank account at the end of every month. The first withdrawal starts one month from now. The account earns interest at the rate of 9,75% per year, compounded monthly. We will assume that these are the only withdrawals and that there are no bank charges on his account. He deposits R5 395,00 into his account now to be able to make these withdrawals in the future. The amount that Tumelo will be able to withdraw at the end of every month is?

 

Questions 4, 5 and 6 are based on the following information:

 

Tumelo has just started a new job and wants to buy a car. He visits the Unity Bank, where he can arrangea loan with an interest rate of 13,7% per annum compounded half-yearly. Tumelo has enough money saved to pay a deposit of 20% of the cost of the car. He arranges a loan for the balance of the payment, which is to be repaid over a period of five years in equal payments of R10 188,70 each at the end of every half year.

 

Question 4

The cost of the car, including the 20% deposit, is?

 

Question 5

The principal repaid during the first six months of the third year is?

 

After three years the interest rate rises to 14,2% per annum, compounded half-yearly. The present value of the loan after three years, is R34 628,47.

 

Question 6

The size of each of the new half-yearly payments is?

 

I will do Question 7

 

Question 8

For a few months, Ellen recorded the number of litres of petrol remaining in the tank, y, after she and her family had driven x kilometres with her car. The equation of the line of best fit for his data is

 

y = f(x) = −0,125x + 55.

 

Chose the statement that correctly describes the situation.

 

[1] The dependent variable is the number of kilometres driven, x.

[2] With 55 litres of petrol, the car can travel about 125 kilometres.

[3] The independent variable is the number of litres of petrol remaining, y.

[4] The car will use 0,125 litres of petrol to travel 55 kilometres.

[5] None of the above.

 

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ASSIGNMENT 3

 

I will to question 1-5, and 7

Question 6

The points (−5; 6) and (3; 6) are located on the same parabola. The equation of the axis of symmetry for this parabola is

 

[1] x = −2.

[2] x = −1.

[3] x = 0.

[4] x = 4.

[5] none of the above.

 

Question 8

Consider the characteristics of a quadratic function and its graph (a parabola). Choose the statement that is not correct.

 

[1] If a parabola has the vertex (1; 0), then the discriminant of the function is zero.

[2] If a parabola opens downwards with vertex (−2; −2), then the function will have a positive discriminant.

[3] If a parabola has the vertex (0; 1) and two x-intercepts, it will open downwards.

[4] If a parabola has the vertex (−1; −2) and (1; 0) as one of the x-intercepts, then the vertex is theminimum.

[5] None of the above.

 

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ASSIGNMENT 4

 

Question 1

Solve the equation

 

1/4 (3y + 5) =y/3

 

for y. Then determine the value of 6y + 9. The answer is equal to?

 

Question 2

Solve the equation

 

3m/6 + k = m − 2/3

 

for m when k = 3/8. The first step is to multiply each term of the equation by 24. You will then obtain

 

Question 3

The reciprocal of ten times an unknown number gives a result of 6 1/2 when it is subtracted from eight. The equation that can be used to find the unknown number t, is?

 

Question 4

When n files are purchased for an office, the cost in rand, C, of each file is given by the equation C = 40n + 258/n

.

If the cost of each file is R43,00, the number of files that were purchased, is?

 

Question 5

Consider the system of equations

 

4x −1 = y (1)

2y + 3x = 5 (2)

 

When using the method of elimination to solve this system of equations, first rewrite the equations with the like terms below each other. Then multiply equation 1 by two. Then add equation 2 and the altered equation 1. This will result in?

 

Question 6

Consider two separate systems of linear equations

 

6x − 3y + 10 = 0 and 2x − 5y = 11

4y − 36 = 8x 3y + 9 = 2x.

 

State for each system separately the number of times the two lines, represented by the equations, intersect.

 

Question 7

Godfrey spends a total of nine hours on writing a paper and finishing a project. He spends x hours onwriting the paper and y hours finishing the project. Godfrey spends 1 1/2 more hours on writing the paper than he spends on the project.

Write down two equations that can be used to find how many hours he spends on writing the paper and finishing the project. Then determine the number of hours Godfrey spends finishing the project. Choose the correct statement.

 

Question 8

The graph that represents the solution to the linear inequality

 

3/2 (1 − g) >1/4 − g

 

Questions 9 and 10 are based on the following information:

 

You want to invest R30 000 for one year. Part of this will be invested in a stable 5% simple interest rate account. The remainder will be invested in your friend’s business and he’ll pay you back with 7% simple interest. As you are a little hesitant to invest in your friend’s business, you want to determine the least you can invest with him and still get at least R1 900 in interest on both investments. First you have to set up an equation using the simple interest formula I = Pin. Suppose you invest x rand with your friend. Then there will be (30 000 − x) rand left to invest in the stable 5% account.

 

Question 9

The inequality that describes the total amount of interest you can earn on both investments and still get at least R1 900 in interest is?

 

Question 10

The least amount that you can invest in your friend’s business is?

 

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ASSIGNMENT 5

 

Question 1 is based on the following information:

Pizza Palace is running a promotional sale on 2 litre bottles of Cola. The hope is to attract more customers into the shop who will also buy a pizza with two toppings at the regular price. They will lose R9,00 on every Cola order. The profit, however on each pizza will be R15,00. Let c represent the number of bottles of Cola sold and p the number of pizzas. Breaking even is the worst they are willing to accept. If they break even, the losses from the Cola sales will be equal to the profit from the pizza sales:

 

9c = 15p.

 

They want the losses from the Cola sales to be less than or equal to the profit from the pizza sales.

 

Question 1

Write an inequality for this situation. Graph the inequality by plotting the number of bottles of Cola sold on the horizontal axis and the number of pizzas sold on the vertical axis. Indicate the region where the Pizza Palace will profit from the promotion.

 

I will do question 2.

 

Question 3

Suppose you need to use at least R45,00 worth of stamps to mail a package. You have as many R3 stamps as you need, but only four R5 stamps. You want to determine how many of each stamp you have to use. Let x represent the number of R5 stamps you have to use. Let y represent the number of R3 stamps you have to use. Write a system of linear inequalities describing the possible number of each stamp you have to use. Determine one possible solution to the problem.

 

Question 4

A manufacturing company produces and sells bags. The cost (in rand) to manufacture y bags is given by the function

 

C(y) = 4y + 120√y + 4 000.

 

The approximate cost of manufacturing the 24th bag is calculated by determining the value of?

 

Question 5

The derivative of the function

 

f(x) = −3/4x2 + Ax3 +B/x

 

Question 6

If the derivative of a function is

 

f(x) = −√1/x,

 

then the function is?

 

Questions 7 and 8 are based on the following information:

The function for the total profit (in rand) for selling x items is

 

P(x) = −0,1x2 + 180x − 1 500.

 

Suppose 200 items are currently sold. Determine the exact change in profit when one more unit is sold. Then approximate the change in profit when one more unit is sold. Determine the difference between the two methods.

 

Question 7

To determine the exact change in profit when one more unit is sold, determine the value of?

 

Question 8

The change in profit when one more unit is sold, determined by the exact method, differs from the approximation method by?