Question 1

Using MATLAB solve the following system of linear simultaneous equations

3x + 2y - z = 10........... [1]

-x + 3y + 2z = 5........... [2]

x - y - z = -1 .................[3]

s + 2t - 3u + 4v = 12........... [1]

2s + 2t - 2u + 3v = 10......... [2]

t + u = -1............................ [3]

s - t + u - 2v = -4................ [4]

Find the following values using the equations and then a financial calculator. Compounding/discounting occurs annually. Do not round intermediate calculations. Round your answers to the nearest cent.

1. An initial $500 compounded for 1 year at 4%.

   $  

2. An initial $500 compounded for 2 years at 4%.

   $  

3. The present value of $500 due in 1 year at a discount rate of 4%.

   $  

4. The present value of $500 due in 2 years at a discount rate of 4%.

In this assignment, you will implement a Polynomial linked list, the coefficients and exponents of the polynomial are defined as a node. The following 2 classes should be defined.

p1=23x 9 + 18x 7+3 1. Class Node ● Private member variables: coefficient (double), exponents (integer), and next pointer. ● Setter and getter functions to set and get all member variables ● constructor 2. Class PolynomialLinkedList ● Private member variable to represent linked list (head) ● Constructor ● Public Function to create a Node ● Public function to insert the Node to the linked list (sorted polynomial according to the exponent). ● Public function to print the polynomial in the elegant format: 23x 9 + 18x 7+3 ● Overloaded public function to allow adding two polynomials poly3=poly1+poly2 (23x 9 + 9x 7+3)+(2x 4+3x 7+8x 2 -6) =23x 9 +12 x 7+2x 4+8x 2 -3 ● Overloaded public function to allow negating (!) the sign of any polynomial poly3=!poly1 2x 4+3x 7+8x 2 -6 =- 2x 4 -3x 7+8x 2+6 ● Overloaded public function to allow multiplying two polynomials ● Public function to evaluate polynomial based on an input If x=1, then the value of this polynomial 2x 4+3x 7+8x 2 -6 should be 2(1) 4+3(1) 7+8(1) 2 -6 =7

Main menu to test the following tasks ○ cout << "1. Create polynomial \n"; ○ cout << "2. Print polynomial \n"; ○ cout << "3. Add two polynomilas \n"; ○ cout << "4. Negate polynomial \n"; ○ cout << "5. Multiply two polynomials \n "; ○ cout << "6. Evaluate polynomial \n "; ○ cout << "7. Exit \n";

13) Which of the following provides an efficient method of converting 3-bromo-2-methyl-1-butene into 2-methyl-2-butene?

A) 1) NaOH; 2) H2, Pd/C
B)   1) H2, Pd/C; 2) NaOEt
C) 1) H2, Pd/C; 2) Br2
E) 1) H2, Pd/C; 2) KOtBu

And I have already known that the correct answer is B, but why?

I cannot understand...Please help!!

Really thanks

Utility function over clothing (C) and greens (G) is defined by the function U(C,G)=C^(1/4)+G^(1/4). Let P(of C) and P(of G) denote the prices of cherries and grapes respectively. W is income that is available to consumer to spend on those two goods.

(a) Write down the customer's utility maximization problem.

(b) set up the langrangian and solve for the first order condition.

(c) Solve for the consumer's demand functions for clothing and greens. Please Explain.

How much cash do I have at the end of period 2, 3, and 4?

Please add calculations for each period.

Period	Debit or Credit	Value	Type	Account
0	Credit(+)	$1,500,000	Equity	Startup Capital
0	Debit(+)	$1,500,000	Asset	Cash
0	Debit(+)	$300,000	Asset	Property, Plant & Equipment
1	Debit(+)	$26,000	Expense	Operating Costs
1	Credit(-)	$26,000	Asset	Cash
1	Credit(+)	$126,114	Revenue	Revenue
1	Debit(+)	$126,114	Asset	Cash
1	Debit(+)	$240,000	Asset	Inventory
1	Credit(+)	$240,000	Asset	Cash
1	Debit(+)	$67,261	Expense	Cost of Goods Sold
1	Credit(-)	$67,261	Asset	Inventory
2	Debit(+)	$26,000	Expense	Operating Costs
2	Credit(-)	$26,000	Asset	Cash
2	Credit(+)	$473,886	Revenue	Revenue
2	Debit(+)	$473,886	Asset	Cash
2	Debit(+)	$90,000	Asset	Inventory
2	Credit(+)	$90,000	Asset	Cash
2	Debit(+)	$284,332	Expense	Cost of Goods Sold
2	Credit(-)	$284,332	Asset	Inventory
2	Debit(+)	$37,500	Expense	Loan Payment - Interest
2	Credit(-)	$37,500	Asset	Cash
2	Debit(+)	$250,000	Liability	Loan Payment - Principal
2	Credit(-)	$250,000	Asset	Cash
2	Debit(+)	$40,000	Expense	Other Costs
2	Credit(-)	$40,000	Asset	Cash
2	Debit(+)	$6,000	Expense	Market Research Costs
2	Credit(-)	$6,000	Asset	Cash
2	Debit(+)	$2,500	Expense	Sales Promotion - OKC
2	Credit(-)	$2,500	Asset	Cash
2	Debit(+)	$2,500	Expense	Sales Promotion - Tulsa
2	Credit(-)	$2,500	Asset	Cash
2	Debit(+)	$2,500	Expense	Sales Promotion - Stillwater
2	Credit(-)	$2,500	Asset	Cash
2	Debit(+)	$2,500	Expense	Product Line Brand - OKC
2	Credit(-)	$2,500	Asset	Cash
2	Debit(+)	$2,500	Expense	Product Line Brand - Tulsa
2	Credit(-)	$2,500	Asset	Cash
2	Debit(+)	$2,500	Expense	Product Line Brand - Stillwater
2	Credit(-)	$2,500	Asset	Cash
3	Debit(+)	$26,000	Expense	Operating Costs
3	Credit(-)	$26,000	Asset	Cash
3	Credit(+)	$799,731	Revenue	Revenue
3	Debit(+)	$799,731	Asset	Cash
3	Debit(+)	$682,500	Asset	Inventory
3	Credit(+)	$682,500	Asset	Cash
3	Debit(+)	$559,812	Expense	Cost of Goods Sold
3	Credit(-)	$559,812	Asset	Inventory
3	Debit(+)	$1,500	Expense	Market Research Costs
3	Credit(-)	$1,500	Asset	Cash
3	Debit(+)	$2,500	Expense	Research & Development - Flavor Varieties
3	Credit(-)	$2,500	Asset	Cash
3	Debit(+)	$5,000	Expense	Research & Development - Ingredient Quality
3	Credit(-)	$5,000	Asset	Cash
3	Debit(+)	$15,000	Expense	Research & Development - Update Equipment
3	Credit(-)	$15,000	Asset	Cash
3	Debit(+)	$3,750	Expense	Sales Promotion - OKC
3	Credit(-)	$3,750	Asset	Cash
3	Debit(+)	$2,500	Expense	Sales Promotion - Tulsa
3	Credit(-)	$2,500	Asset	Cash
3	Debit(+)	$5,000	Expense	Sales Promotion - Stillwater
3	Credit(-)	$5,000	Asset	Cash
3	Debit(+)	$3,750	Expense	Product Line Brand - OKC
3	Credit(-)	$3,750	Asset	Cash
3	Debit(+)	$2,500	Expense	Product Line Brand - Tulsa
3	Credit(-)	$2,500	Asset	Cash
3	Debit(+)	$5,000	Expense	Product Line Brand - Stillwater
3	Credit(-)	$5,000	Asset	Cash
4	Debit(+)	$26,000	Expense	Operating Costs
4	Credit(-)	$26,000	Asset	Cash
4	Credit(+)	$723,876	Revenue	Revenue
4	Debit(+)	$723,876	Asset	Cash
4	Debit(+)	$315,000	Asset	Inventory
4	Credit(+)	$315,000	Asset	Cash
4	Debit(+)	$381,945	Expense	Cost of Goods Sold
4	Credit(-)	$381,945	Asset	Inventory
4	Debit(+)	$1,500	Expense	Market Research Costs
4	Credit(-)	$1,500	Asset	Cash
4	Debit(+)	$2,500	Expense	Research & Development - Flavor Varieties
4	Credit(-)	$2,500	Asset	Cash
4	Debit(+)	$5,000	Expense	Research & Development - Ingredient Quality
4	Credit(-)	$5,000	Asset	Cash
4	Debit(+)	$5,000	Expense	Sales Promotion - OKC
4	Credit(-)	$5,000	Asset	Cash
4	Debit(+)	$5,000	Expense	Sales Promotion - Tulsa
4	Credit(-)	$5,000	Asset	Cash
4	Debit(+)	$5,000	Expense	Sales Promotion - Stillwater
4	Credit(-)	$5,000	Asset	Cash
4	Debit(+)	$5,000	Expense	Product Line Brand - OKC
4	Credit(-)	$5,000	Asset	Cash
4	Debit(+)	$5,000	Expense	Product Line Brand - Tulsa
4	Credit(-)	$5,000	Asset	Cash
4	Debit(+)	$5,000	Expense	Product Line Brand - Stillwater
4	Credit(-)	$5,000	Asset	Cash

1. Silicon is the main ingredient of both glass and semiconductor materials. Why are the physical properties of glass different from those of semiconductors?

1. The silicon atoms in semiconductors are bonded with oxygen atoms to form a crystal; in semiconductors the silicon is pure and thus forms the amorphous structure.

2. Silicon has no effect on the properties of glass and semiconductors.

3. The silicon atoms in semiconductors form a crystal; in glass they are bonded with oxygen atoms to form the amorphous silicon dioxide.

4. The silicon in glass does not have elec- trons, while the silicon in semiconductors does.

002 The three main rock types are distinguished on the basis of which of the following charac- teristics?

I) composition

II) texture

III) size and shape of mineral or rock grains

1. I only

2. III only

3. I, II and III

4. I and II only

5. II only

003 Which of the following are all examples of minerals?

1. petroleum, coal, iron, feldspar, basalt

2. water, mercury, metallic hydrogen, lime-stone

3. copper, ice, quartz, topaz, diamond, corundum

4. gold, silver, uranium, lead, silica, iron

5. bronze, steel, glass, aluminium, pencil lead

004 Common examples of sulfide and sulfate minerals, respectively, are

1. galena and pyrite.

2. fluorite and pyrite.

3. galena and gypsum.

4. galena and hematite.

5. gypsum and anhydrite.

005 Cleavage is defined as

1. None of these

2. planes of a fracture resulting from strong bonds.

3. smooth, flat, reflective surfaces.

4. planes of weak bonds along which a mineral splits.

5. surfaces of a smooth, curved fracture.

006 Minerals originate from crystallization of

1. molten magma.

2. All of these

3. chemical alteration of pre-existing minerals.

4. hydrothermal solutions.

5. seawater.

007 Which of the following is an example of a mineral resource?

1. sand

2. salt

3. All of these

4. gold

5. petroleum

008 For minerals classified within any one silicate group, which of the following is true?

1. None of these

2. They have similar physical properties.

3. They have similar chemical compositions.

4. They have similar arrangements of silicate tetrahedra.

5. They have similar bonds.

009 Dolomite belongs to which mineral group?

1. sulfates

2. sulfides

3. halides

4. carbonates

010 For what is chromium commonly used?

1. catalytic converters

2. aluminum ore

3. brake linings and lubricants

4. carbide-cutting tool parts

5. wiring

6. stainless steel

011 When metals react with oxygen they form

1. new elements

2. oxides

3. metalloids

4. halides

012 Limestone structures made of the skeletal structures of living organisms are

1. organic reefs.

2. organic colonies.

3. inorganic reefs.

4. inorganic colonies.

5. None of these

013 The rock cycle is an illustration of three different rock types and

1. their potential change over time.

2. their relation to internal and external processes.

3. All of these

4. their environments of formation.

014 Which of the following best describes sedimentary rocks?

1. deposition of ash and larger particles produced by volcanism

2. compaction and cementation of rock fragments, precipitates, and organic matter

3. weathering, transport, and deposition of sediment from pre-existing rock

4. alteration of sediment by heat, pressure,and chemical activity of water

015 Precipitation from solution is a characteristic of which type of rock?

1. sedimentary

2. igneous

3. metamorphic

016 Plutonic rocks form

I) below the surface of the ground.

II) above the surface of the ground.

III) by crystallization of magmas intruded into surrounding rocks.

1. II only

2. I only

3. I and III only

4. I, II and III

5. III only

017 A sill is a

1. concordant, tabular body of intrusive igneous rocks that warps rocks upward.

2. concordant, tabular body of intrusive igneous rocks.

3. discordant, tabular body of intrusive igneous rocks.

4. discordant, massive body of intrusive igneous rocks.

5. concordant, tabular body of extrusive igneous rocks.

018 An example of a shield volcano is

1. Mount St. Helens.

2. Mount Shasta.

3. Mount Mazama.

4. Fujiyama.

5. Kilauea.

019 An example of a composite volcano is

1. Nevado del Ruiz, Columbia.

2. Mount Vesuvius, Italy.

3. All of these

4. Fujiyama, Japan.

5. Mount St. Helens, Washinton.

020 Weathering is classified into which of the following categories?

1. mechanistic and compositional

2. mechanical and physical

3. physical and chemical

4. organic and inorganic

5. chemical and mechanical

021 The rounding and sorting of detrital sediment is a function of

I) the transport process or mechanism.

II) the transport distance.

III) depositional environment.

1. I only

2. II only

3. II and III only

4. I, II and III

5. III only

022 Sedimentary rocks include

1. any layered rock consisting of grains.

2. rocks which have been altered by compression.

3. any material which has settled from water.

4. rocks which have been weathered.

5. organic, rock and mineral fragments, and precipitated minerals.

023 10.0 During the process of lithification, sedimentary rocks experience which of the following?

I) cementation

II) compaction

III) dereased void space

1. II only

2. I only

3. III only

4. I and II only

5. I, II and III

024 Metamorphism is physical and chemical change that occurs in such a way that

1. the rock reaches equilibrium with its new environment.

2. a dynamic equilibrium is reached.

3. equilibrium with the new environment is disturbed.

4. disequilibrium is reached with the new physical and chemical environment.

5. the rock�s chemistry and texture become increasingly unstable.

025 Contact metamorphism is found along the boundaries between country rock and

1. dikes.

2. sills.

3. laccoliths.

4. All of these

5. bathoiths.

026 What is the parent rock type for Greenstone?

1. SIX

2. shale/mudrocks

3. mafic igneous rocks

4. lowgrade coal

5. quartz sandstone

6. feldspar and quartz sandstone (arkose)

027 Among the mineral resources NOT found in deep sea sediments are

1. reef rock.

2. sand and gravel.

3. iron, copper, and zinc.

4. silver and gold.

5. manganese nodules.

028 Volcanic rocks can usually be distinguished from plutonic rocks by

1. composition.

2. color.

3. the size of their mineral grains.

4. iron-magnesium content.

5. weight.

029 The process whereby dissolved mineral matter precipitates in the pore spaces of sediment and binds it together is

1. arkose.

2. compaction.

3. ionic bonding.

4. cementation.

5. weathering.

030 Which of the following metamorphic rocks displays a foliated texture?

1. marble

2. greenstone

3. schist

4. hornfels

5. quartzite

031 The principle of the rock cycle is that

1. any rock can be transformed into a new rock of the same or a different class.

2. rocks progress from sedimentary to metamorphic to igneous and back to sedimentary.

3. the first rocks on Earth were igneous and now all rocks are sedimentary.

4. all rocks can become sediments but only metamorphic rocks can become sedimentary

rocks.

5. rocks progress from igneous to metamorphic and sedimentary to metamorphic over

time.

032 Sedimentary rocks composed of broken shells or particles of pre-existing rocks are said to

have a

1. porphyritic texture.

2. crystalline texture.

3. biogenic texture.

4. microcrystalline texture.

5. clastic texture.

033 Graded bedding forms when

1. sediment is deposited on a steep slope or grade.

2. erosion planes off a portion of the sea bottom.

3. turbidity currents deposit first fine sediment followed by coarse sediment.

4. cross-bedding is truncated.

5. turbidity currents deposit first coarse sediment then fine sediment.

034 The three major structural parts of the Earth are

1. lithosphere, hydrosphere and atmosphere.

2. core, mantle and crust.

3. lithosphere, atmosphere and crust.

4. mantle, crust and atmosphere.

035 If no one has ever visited the core of the Earth, how do we know that it is composed of metals?

1. Circulating liquid metals in the core set up a large (measurable) magnetic field.

2. Spectroscopy allows us to tell what the core is made of by analyzing the light we see

from it.

3. There is NO evidence that the Earth�s core has metals.

4. Core material seeps up through volcanoes in the crust.

5. The amount of radioactivity shows metals must be present; only metals are radioac-

tive.

036 Earthquake-producing faults are much more likely to be found

1. in smooth continental desert areas.

2. where the Earth�s magnetic field touches the planet�s surface.

3. Such faults are equally likely to be anywhere on the Earth�s crust.

4. on the boundaries of continental plates, where they meet other plates.

5. in the southern hemisphere of the Earth, where there is more water.

037 About how many kilometers (miles) is it from the Earth�s center to the outer edge of the

outer core?

1. 35 ? 72 kilometers (22 ? 45 miles)

2. 2,880 kilometers (1,800 miles)

3. 12,523 kilometers (7,827 miles)

4. 1,264 kilometers (790 miles)

5. 3,456 kilometers (2,160 miles)

038 Consider the following elements. Which lists represents the main components of the Earth�s crust?

1. oxygen, uranium, thorium

2. oxygen, silicon, aluminium

3. iron, aluminium, carbon

4. iron, hydrogen, oxygen

5. oxygen, silicon, uranium

039 As you know, Earth is layered inside. The layers have different thicknesses and densities. How do geologists know this?

1. from drilling and digging down into the various layers

2. from comparisons with drill cores taken by robot spacecraft on Mars and Venus

3. from observing the characteristics of lava and gas issuing from volcanic vents

4. None of these

5. from observing the transit times through the Earth of waves generated by large earthquakes

040 Tsunami or seismic sea waves are generated by

1. breaking internal waves.

2. storms at sea.

3. tidal currents in the open sea.

4. coastal or submarine earthquakes.

041 Earth is considered dynamic because

1. surface landscapes are constantly changing due to erosion and deposition.

2. the impact of human activity is continuous.

3. the lithosphere and asthenosphere are constantly changing.

4. rocks are susceptible to weathering.

042 Seismology has produced a great amount of information about

I) the mechanisms of plate tectonics.

II) the physical and chemical state of Earth�s interior.

III) the causes of mountain building.

1. III only

2. All of these

3. II only

4. I only

5. I and II only

043 An example of one of the strongest earthquakes of intraplate origin known in North America in historical times is

1. the 1984 Mount St. Helens, Washington, earthquake.

2. the 1811 New Madrid, Missouri, earthquake.

3. the 1964 Anchorage, Alaska, earthquake.

4. the 1906 San Francisco earthquake.

5. the 1886 Charleston, Carolina, earthquake.

044 Any one type of seismic wave will vary in its actual velocity depending on

I) the length of the route it has taken.

II) the material through which it has traveled.

III) whether it has traveled through Earth or along its surface.

IV) the depth of the hypocenter.

1. IV only

2. I only

3. II only

4. III only

5. I and II only

045 At a boundary between materials of different density and elasticity, P- and S-waves are

1. reflected.

2. not affected.

3. reflected and refracted.

4. refracted.

046 The S-wave shadow zone exists because

1. S-waves do not travel through liquids.

2. S-waves weaken substantially as they travel through liquids.

3. S-waves only travel to a certain depth.

4. S-waves are reflected off liquids.

047 P-wave velocities in continental crust are (faster than, slower than, the same as) in oceanic crust.

1. faster than

2. slower than

3. the same as

048 Which is the fourth layer of the Earth, ordering from the surface inward to the center of the Earth?

1. asthenosphere

2. inner core

3. crust

4. upper mantle

5. lower mantle

6. outer core

049 A) The S-wave shadow zone is evidence that the outer core is liquid.

B) The mantle�s density is uniform with depth at any given level.

C) P-wave rays are most commonly reflected while S-wave rays are refracted.

Which of the preceding statements is/are true?

1. None is true.

2. Only C is true.

3. A, B, and C are true.

4. Only A is true.

5. Only B and C are true.

6. Only A and C are true.

7. Only A and B are true.

8. Only B is true.

050 Plate movement is thought to be the result of

1. density differences between the mantle and core.

2. gravitational forces.

3. rotation of the mantle around the core.

4. convection cells.

5. the Coriolis effect.

051 Which of the following statements about the asthenosphere is not true?

1. It has the same composition as the lower mantle.

2. It lies beneath the lithosphere.

3. It acts like a lubricating layer allowing plates to move.

4. It is a rigid rock layer.

5. It behaves plastically.

1) The following sketch shows a region of the mais genome subdivided into 10 zones. Seven deletions have been mapped to the zones as shown. The DNA region between the parentheses is removed by the deletion.

    | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |

D1 -------------(           )------------------------------------

D2 -------------------(                 )------------------------

D3 -(           )------------------------------------------------

D4 -------------------------------(           )------------------

D5 -------------------------------(                       )------

D6 -------------------(           )------------------------------

D7 -------(                       )------------------------------

a) Plants carrying a point mutation located in zone 4 (called mutation 4-1) are mated separately with the 7 deletions mentioned above. Give a general justification and then indicate by yes or no whether pseudodominance occurs in the following crosses:

1: D1 X 4-1, 2: D3 X 4-1, 3: D4 X 4-1, 4: D6 X 4-1.

b) A frameshift mutation results in pseudominance effect when crossed with D2, D4, and D5 only. In which zone is this mutation located? Justify briefly.

c) Is there a gene in the zone identified in question b)? If yes explain your reasoning. (hint: rerad question above, and think mutation type)

Woodside Global Trading Limited, a company listed on the Roman Stock Exchange, is a trading and investment entity. The company trades exclusively in golf equipment, and invests in property and other firms.

Woodside Global Trading Limited have just engaged you as their external accountant to assist in the preparation of the entity’s 2025 financial statements. The financial period of the company is from January 1 to December 31.

The company has provided you the following list of accounts, and the trial balance totals per account as at December 31, 2025:

Name of Account			Trial Balance Amount
Accounts Payable			$8,000,000
Accounts Receivables			$4,500,000
Advance from Substantial Shareholder			$10,750,000
Cash and Cash Equivalents			$950,000
Cost of Goods Sold			$65,015,000
Current Tax Liabilities			$1,600,000
Employee Benefit Obligations			$1,500,000
Gain from Sale of Plant and Equipment			$15,002,000
Intangible Assets			$1,200,000
Inventory			$19,650,000
Loans Due in Less than 12 Months			$1,150,000
Long-Term Intercorporate Investment			$48,000,000
Long-Term Land Investment			$6,500,000
Long-Term Loans			$19,580,000
Notes Payable			$4,000,000
Notes Payable (Due in Less than 12 Months)			$500,000
Operating Expenses			$16,014,000
Other Payables			$450,000
Other Receivables (Due in more than 12 Months)			$250,000
Paid-Up Capital			$32,000,000
Plant and Equipment			$28,500,000
Prepaid Expenses			$520,000
Property			$10,150,000
Reserves			$14,500,000
Retained Earnings			$15,190,000
Sales			$100,890,000
Short-Term Investments			$6,500,000

Additional Information:

1.       The trial balance amount for Plant and Equipment is a gross amount. The total accumulated depreciation of applied to Plant and Equipment as at December 31, 2025 is $6,000,000. It is the policy of Woodside Global Trading Limited to show the value of Plant and Equipment as a net amount in the financial statements.

2.       For the period ended December 31, 2025, Woodside Global Trading Limited recorded a profit of $7,500,000. This amount has yet to be included in the Retained Earnings balance as per the trial balance.

3.       The substantial shareholder has indicated that to settle the advance amount, the substantial shareholder as indicated a very strong preference and probability for payment by issuance of new equity.

4.       All prepaid expenses as at December 31, 2025 are expected to be consumed by the end of December 31, 2026.

5.       The land held for investment is separate from the property the plant and equipment (owned by Woodside Global Trading Limited) resides on.

6.       In the forthcoming 12 months Woodside Global Trading Limited is predicting the entity will purchase plant and equipment to the value of $14,000,000.

7.       The value of the Inventory as shown in the trial balance is the net realizable value. The value of inventory at cost is $15,650,000.

8.       The effective tax rate that Woodside Global Trading Limited is subject to is 21%.

Required:

Using the information supplied, prepare a balance sheet/statement of financial position for Woodside Global Trading Limited for the end of 2025 that conforms with recommended presentation of IFRS IAS 1 requirements and as preferred for the course.