Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Math Expert


Home >> Math

problem1) Simplify the following:

a. 16 ÷ 2[8–3(4–2)] + 1

b. 4–3[4–2(6–3)] ÷ 2

c. 16–3(8–3)2÷ 5

d. (3 + 4–6÷2 + 2) + ((9÷3 + 6x5)÷11) x ((4 + 5-6) + (18–3 x4))

b) prepare the following numbers as a product of prime factors:

i) 56

ii) 270

c) prepare the following numbers in index form:

i) 16 using base 2

ii) 81 using base 3

d) Simplify the following:

i) (7/2)-(8/3)/ (1/2 X 11/8)

ii) (7/4 X 2/3) / (3/5 - 5/4)

problem2) The following table shows the test results /scores for a group of students.

90 82 42 57
53 57 51 45
65 90 62 85
15 57 65 87
85 72 57 20

a) find out the

i) Mean

ii) Median

iii) Mode

b) What is the data range?

c) Compute the following using the data provided:

i) Lower quartile

ii) Upper quartile

iii) Interquartile range

d) Compute the standard deviation for the test scores.

problem3) The price of a jacket, inclusive of VAT, is R1026. find out the price exclusive of VAT. (Assume VAT of 14%.)

a) A retailer is selling a handbag which cost R 500 for R 620 in his shop. find out the percentage mark-up the retailer added. (Ignore VAT.)

b) At what price do I need to sell a leather couch with a cost price of R 4000, if I add a mark-up of 25%? (Ignore VAT.)

d) The marked price of an item, inclusive of VAT, is R855. find out the cost price if the mark-up is 20% of cost price.

e) The VAT payable on an item is R84. find out the cost price of the item if the mark-up on cost price is 20%.

f) A jacket costs R180 to make and a retailer adds 25% to get the selling price. During a sale, all goods are labelled “Sale price 10% of marked price”. How much did a customer pay for the jacket during the sale? What percentage profit did the retailer make on the jacket which was sold during the sale? (Ignore VAT.)

g) Mel’s Furniture shop bought a lamp that cost R100. To make Mel’s desired profit, he needs a 65% mark-up based on the selling price. What is Mel’s selling price and his rand mark-up? (Ignore VAT.)

problem4) Compute the amount you need to invest today, at 9% per annum, in order to have R10000 in 7 years’ time.

a) You have R15000 to invest for 5 years. If you can get 7% per annum on your investment, what amount will you have saved after 5 years?

b) Which of the following two options would you prefer if you can earn 11% per annum on your investment?

• Receiving R100000 now or

• Receiving R22000 per year for the next 5 years.

problem5) Which of the following [A-E] is the gradient of the line passing through the points (6,-5) and (-2, -11)

• 4/3

• 3/4

• 1/2

• 2/3

• 1/4

a) What is the equation[A-E] of the line whose graph is shown below?

[A] y-1 = ¾(x+4)

[B] y+7= ¾(x+4)

[C] y-7=4/3(x+4)

[D] y-1=4/3(x+4)

[E] y-7= -3/4(x+4)

b) Which of the following [A-E] is an equation for the line passing through (-4, 9) and (2, 6)?

118_Graph.jpg

[A] 2x+y-10=0

[B] 2x+3y-14=0

[C] x+2y-14=0

[D] x+2y-10=0

[E] x-2y-10=0

c) Which equation [A-E] has a slope of -3?

[A] x+3y=-12

[B] 3x-y=11

[C] 6x+2y=-7

[D] 9x-3y=0

[E] x-3y=15

d) Which of the following [A-E] shows the graph of y=3/2x-4

603_Graph2.jpg

e) A new swimming pool has opened in town. In the first week 740 people came to enjoy a swim. The records for the week show the four different age groups.

Day                 Child                 Student                   Adult         Senior
Monday            25                        22                        19             17
Tuesday           27                        20                        20             18
Wednesday       26                        23                        17             19
Thursday          31                        23                        20             20
Friday              36                        24                        21             18
Saturday          59                        35                        31             24
Sunday            56                        33                        32             24

i) Draw the bar chart showing the total number of swimmers who used the pool on each day during the first week.

ii) Draw a pie chart to show the total number of swimmers in each age group who used the pool during the first week.
(Be sure to present your graph in the correct format including the correct titles etc.)

Math, Academics

  • Category:- Math
  • Reference No.:- M93046

Have any Question? 


Related Questions in Math

Peter a massachusetts resident applied for a loan at three

Peter, a Massachusetts resident, applied for a loan at three banks. Peter's application was denied at the first two banks but finally was approved by the third institution. Peter believes that the first two banks denied ...

Al was an attorney in a small town and was very well

Al was an attorney in a small town and was very well respected. A couple retained Al to represent them on the purchase of a home. Before closing, Al informed the couple of payments that they were required to make by chec ...

According to a national poll of 350 college students 53

According to a national poll of 350 college students, 53% play video games more than 6 hours a week. Find the margin of error and the 95% confidence interval for the survey. Give your answers as percentages rounded to th ...

1 complete the algebra that leads to the transcendental

1. Complete the algebra that leads to the transcendental equations given by (155.5), (155.6) and (155.7) of the finite 1-d square well. 2. For advanced students, find the condition on (or value of) well depth, V 0 , and ...

Customers shopping at a particular supermarket spend a mean

Customers shopping at a particular supermarket spend a mean time shopping of 47 minutes,with a standard deviation of 11 minutes. Assuming a normal distribution, what is the probability that a randomly chosen customer wil ...

Suppose a survey of 861 college students showed that 63

Suppose a survey of 861 college students showed that 63% said that they worked at least part-time during each semester. Find the 95% confidence interval for the true population proportion. 56.2% to 69.8% 54.4% to 71.6% 5 ...

Problem 1determine the value of a and b for which the

Problem 1) determine the value of a and b for which the system has I. no solution II. unique solution III. infinite number of solution Problem 2) A body of mass m is in rectilinear motion along horizontal axis .the resul ...

You deposit 500 each month into an account earning 2

You deposit $500 each month into an account earning 2% interest compounded monthly. a) How much will you have in the account in 35 years? b) How much total money will you put into the account? c) How much total interest ...

A national caterer determined that 37 of the people who

A national caterer determined that 37% of the people who sampled their food said that it was delicious. A random sample of 144 people is obtained from a population of 5000. The 144 people are asked to sample the caterer' ...

Assignment1a use the midpoint rule with n 4 subintervals

Assignment (1) (a) Use the Midpoint Rule with n = 4 subintervals to estimate The width of each interval is: (b) Use the Error Bound to find the bound for the error When using the Midpoint Rule, the Error Bound is: (c) Co ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro

Describe what you learned about the impact of economic

Describe what you learned about the impact of economic, social, and demographic trends affecting the US labor environmen