Calculate the total amount payable by the family

Assignment Help Mathematics

Reference no: EM13916112

Question 1:

Simplify the following expressions.

(a) 3y³ x 12z⁵ x 2^-3

(b) 4a³x6⁴/24a

(d) (x³ y^-3) x x^-5/y^-2

(e) (3x³ y⁵) + 9x⁵y³)² / x³y³ x 3²

(f) (2x⁴ + 4x³ + 4x² + 4x + 2) / x² + 1

Question 2:

Evaluate the following arithmetic expressions:

(a) |3-[5 + 7(1)^-1]|
(b) √[(3)³ - (-3)² + 2 x 12 -7³)]²
(c) 3 - |[5/2 - 6(1)^-1]| x 2
(d) 3/4 x 100/24 - 6(3)^-1 x 7
(e) 7/4 + (84/44) / (6(11))^-1 + 7/8

Question 3:

(a) Convert the following fraction to be in percentage (correct up to 2 decimal places)
(i) 7/8
(ii) 7/18

(b) The service tax charged by Restaurant ABC is 9%. A family paid RM81 for the service tax. Calculate the total amount payable by the family.

(c) A batch of students took the University Mathematics test. 299 students passed the test, which translates to 92% passing rate. Determine the total number of students sat for this test.

(d) The petrol price went up by 20%. The petrol price before the price hike was RM1.80 per litre. Ben pumped 40 litres of petrol after the price hike. Calculate the total amount he needs to pay.

(e) The sugar price went up by 21% in May 2014. Alice used to spend RM10 to purchase 5kg of sugar in April 2014. In May 2014, Alice is still spending RM10 to purchase the sugar. Calculate

(i) Sugar price (per kg) in May 2014.

(ii) Amount of sugar purchased by Alice and the difference between the amount purchased in April 2014 and May 2014.

Question 4:

(a) Let ??(??) =??²+1 and, let a>0 and h be real number. Find and simplify the following:
(i) f(-α)
(ii) f(α^0.5)
(iii) f(α + h)

(b) If f(x) = x²+ 4 and g(x) = 1/x²+4, find the following:

(i) f(g(x))
(ii) g(f(x))

(c) Find the domain and range of the following functions, explain briefly and sketch the graphs:
(i) y = 5x/x-4
(ii) y = 5/log₁₀(x-1)

Question 5:

2019_Evaluate the arithmetic expressions.png

a) Write and simplify an algebraic expression to represent the area of the figure shown above.

b) Find the range of x.

c) Given that the Area is 204 cm², find the perimeter.

Reference no: EM13916112

Questions Cloud

Is there a connection between repeated thoughts and emotions : Write an essay (1,000 - 1250 words) about a thought, action, or emotional reaction you want to change. Consider the following: Reaction to the experience. Is there a connection between repeated thoughts and emotions

Discuss major proponent, central tenets, and major concerns : Ethical reasoning is an important aspect of communication, more so in the negotiation process. There are four major ethical systems: end-results, duty, social contract, and personalistic.

Indicate the capitalized cost of each asset acquired : Indicate the capitalized cost of each asset acquired during 2015. Prepare the General Journal entries for any amortization and depreciation expense recorded for each of the acquired items in 2015. If no entry is necessary, write "no entry.

Research one aspect of a contemporary social problem : The Final Research Project will present research relating the responsibilities of a critical thinker to contemporary society. In this assignment, you will do the following: Research one aspect of a contemporary social problem. Define the problem

Calculate the total amount payable by the family : The service tax charged by Restaurant ABC is 9%. A family paid RM81 for the service tax. Calculate the total amount payable by the family - Find the domain and range of the functions, explain briefly and sketch the graph.

Selected accounts included in the property : Selected accounts included in the property, plant, and equipment section of Faulty Corporation's balance sheet at December 31, 2017, had the following balances: Land $ 400,000 Land improvements 130,000 Buildings 2,000,000 Machinery and equipment 800,..

How qualities of leader affected success of the organization : Summarize the research and a briefly discussion on how the qualities of the leader affected the success of the organization and their projects.

Histogram of sample means : You'll compute the sample mean commute distance. Now imagine repeating the survey many, many times, each time recording a different sample mean commute distance. In the long run, a histogram of these sample means represents

Distraction to the attitude of the speaker or listener : The question of a person's ability to listen is a tricky one. I think that most people think or at least strive to be good listeners.

User Account

All Pages