# Fred

Newest questions and responses by Fred
1. ## Maths

Helen has just retired with \$500 000 in her account and wishes to start an annuity. She intends to withdraw \$M at the end of each year for 30 years. Reducible interest is calculated at 6% p.a., compounded annually just before each withdrawal. a) Calculate

2. ## Maths

A superannuation fund paid 6% p.a. for the first 10 years and then 10% p.a. after that. If Thanh put \$5000 into this fund at the end of each year, how much would she have at the end of 25 years? Answer: \$466 563.74

3. ## Maths

Two sides of a rectangle lie along the x and y axes. The vertex opposite the origin is in the first quadrant and lies on 3x + 2y = 6. What is the maximum area of the rectangle? Answer: 1.5 Thanks for any help

4. ## Maths

Find the values of x for which the function y = x^2/3 is increasing.

5. ## Maths

The curve y = ax^2 + bx + c touches the line y = 2x at the origin and has a maximum point at x = 1. Find the values of a, b and c. (answer: a = -1, b = 2, c = 0)

6. ## Maths

Find the smallest distance between the graphs y=x^2 - 4x + 12 and y=2x + 1. Thanks for any help Answer= 0.894427...

7. ## maths

Leila has a number of identical equilateral triangle shaped tiles. How many must she put together in a row (edge to edge) to create a shape which has a perimeter ten times that of a single tile? Answer = 28 Thanks to anyone who helps

8. ## Maths

If dx/dt=(t-3)^2 and x=7 when t=0, find x when t=4. Answer = 49/3 Thanks for anyone's help

9. ## Maths

Suppose that T= ar^n-1 is a GP with a limiting sum. a) Find the common ratio r if the limiting sum equals 5 times the first term. (Answer: r=4/5) b) Find the ratio if the sum of all terms except the first equals 5 times the first term. (Answer: 5/6) Thanks

10. ## Maths

For the curve y = x^3 - 27x - 3, show that it is monotonic increasing for all values of x. Thanks to anyone who helps

11. ## Maths

Marcus and Rachel want to save up \$25 000 for a deposit on an apartment in 6 years' time. They aim to pay around half the deposit each. Marcus invests an inheritance of \$9000 in a bank account where it earns 8% p.a. Rachel invests \$100 at the beginning of

12. ## Maths

Mohammed's mother invests \$200 for him each birthday up to and including his 18th birthday. The money earns 6% p.a. How much money will Mohammed have on his 18th birthday? Answer = 6181.13

13. ## Maths

A factory sells shoes at \$60 a pair. For 10 pairs of shoes there is a discount, whereby each pair costs \$58. For 20 pairs the cost is \$56 a pair and so on. Find the price of each pair of shoes on an order of 100 pairs of shoes and the total price on an

14. ## Maths

What is the sum of all numbers ending in 2 or 9 between 1000 and 2000? Answer is 300 100

15. ## Maths

The difference between the first term and the second term in a geometric sequence is 6. The difference between the second term and the third term is 3. Calculate the difference between the third term and the fourth term. Thanks to anyone who helps

16. ## Maths

For the geometric sequence t: {3, m, n, 192, . . .}, find the values for m and n.(Answer is m=12, n=48) How can we do this without trial and error? Thanks to anyone who helps.

17. ## maths

The first three terms of a geometric progression are 2^n, 2^n+1, 2^n+2. Find n. ( Answer is 0.5)

18. ## Maths

The ratio between the first term and the second term in an arithmetic sequence is 3/4. The ratio between the second term and the third term is 4/5. a. Calculate the ratio of the third term to the fourth term. (Answer is 5/6) b. Find the ratio of the nth

19. ## maths

The polynomial P(x) is given by P(x) = ax^3 + 15x^2 + cx - 72, where a and c are constants. The three zeros of P(x) are -3, 2 and B. Find the value of B.

20. ## world history

What impact did the collapse of the Soviet Union have on the end of segregation in South Africa? a- The decline of the Soviet Union allowed for the United Nations to intervene in the segregation policies of the South African government. b-The decline of

21. ## Maths

In how many ways can 4 girls and 3 boys be arranged in a row so that the girls are always together? Answer: 576

22. ## Maths

A PIN consists of 6 numbers, with no repetition of any numbers allowed. How many different PINs are possible? I did 10 x 9 x 8 x 7 x 6 x 5 = 151 200, but the answers say 720. I dont understand why its 6 factirial. Any explanation would be great. Thanks

23. ## Maths

In how many ways can 8 people be divided into 2 groups of 3 and 5 people respectively? Thanks again to anyone who helps. Answer is 56

24. ## Maths

A group of 9 friends go into a nightclub and there is only a table for 3 and therefore the others will have to stand up. If the friends randomly assign who sits at the table, in how many ways can they be seated? These permutation and combination q's are

25. ## Maths

In how many ways can a comittee of 3 women and 4 men be chosen from 8 women and 7 men if two particular women refuse to serve on the committe together? Answer is 1750 but I have no clue how to get to it

26. ## Maths

A string of beads is made up of 5 orange and 5 black beads. If they are randomly arranged around the necklace, how many possible combinations are there? These questions always get me. Anyway thanks to anyone who helps

27. ## Maths

A 4 digit number is to be selected at random from the numbers 0 to 9 with no repetition of digits. How many arrangements can there be? I keep getting 5040 by doing 10 x 9 x 8 x 7 but the answers say 4536 ways. I dont know what I am doing wrong.

28. ## Maths

A committee of 6 people is to be selected randomly from a group of 11 men and 12 women. Find the number of possible committees if: a) a particular woman is included b) a particular man is not included c) there are to be 4 women and 2 men

29. ## Maths

A man walks at a steady course bearing 122 degrees from A to B. If A is 86 m further west than B, find (to the nearest metre) how far the man has walked.

30. ## Maths

If sin x = 2/3 and cos y = 3/4, find the exact value of sin ( x + y ).

31. ## Maths

5x / x^2+1 less then or equal to x. Please someone help help been stuck on it for a while and I have an exam tommorrow. Any help is greatly appreciated

32. ## Maths

On a clear day, you can see 11.5 km in any direction from a particular lookout. If a straight road is 6.9 km from the lookout, what length of the road can be seen from the lookout?

33. ## Maths

Factorise x^4-x^2y-6y^2 Thanks to whoever solves it

34. ## Maths

The length and width of a rectangular projector screen in a small theatre is 200% more than the length and width of a television screen in the same room. How much bigger is the area of the screen than that of the television? Give your answer as a

35. ## Maths

When I was not a king, he was subject to me. Now I am a king I am in jubject to him. Who am I?

36. ## Maths

How do you factorise x^4-x^2y-6y^2

37. ## Maths

Factorise 8x^2 - 1/8

38. ## Maths

If both the hour hand and the minute hand start at the same position at 12 o'clock, when is the first time, correct to a fraction of a minute, that the two hands will be together again?

39. ## Chemistry

Calculate the number of molecules in a deep breath of air whose volume is 2.25L at body temperature, 37 Celsius, and a pressure of 735 torr. Answer is 5.15 x 10^22 molecules. Help me!

40. ## Trig

a ship leaves port at 12:00 noon sailing at a bearing 193° measured clockwise from north. if the ship sails 20 knots, how many nautical miles south and how many nautical miles west will the ship have traveled by 6:00pm?

41. ## Maths

How much do you need to subtract from 43/10 to make 4?

42. ## Math

2x^3 + x^2 - 5= 0 x=? What is the process I must do in order to get the answer?

43. ## Math

2x^3 + x^2 - 5= 0 x=? Is this possible to solve?

44. ## Math

Find the rule for these ordered pair: (1,4) (2,6) (3,9) and (4,13)

45. ## physical science

an object has 2.0x 10^19 more electrons than protons. What is the net electric charge of this object in coulomb?

46. ## physical science

a cars radio draws 0.25 A of current in the autos 12 volt electrical system. How much power in watts does the radio use?

47. ## Physics

There is a rectangle of length 1.40 cm and width 6.10 cm in the xy-plane. If the electric field can be expressed by (100.[^(i)] +234 [^(k)]) N/C, what is the flux through the rectangle?

48. ## Science

Electric circuit with three cells each of emf 2v and negligible internal resistances are connected in series with an ammeter two resistors of resistance 2 and 6 and a key. 1. Draw a diagram for the above information 2.calculate the current in the circuit

49. ## Math

Paul is standing at the bottom of a hill that is 150 meters high. He measures the angle of the elevation of the top of the hill to be 32 degrees. If the slope of the hill is constant, how far will his walk to the top of the hill be

50. ## Math

A pair of pants costs twice as much as a shirt. The total cost of 1 1 pair of pants and 1 1 shirt is \$18 \$18 . If s represents the cost of 1 1 shirt, which equation could you use to find the cost of 1 1 shirt?

51. ## Math

The grade 5 class sold cheese for a fundraiser. What fraction of the orders did each of the four students take

52. ## Science

It takes a force of 22 N to push a 10 kg box horizontally with a constant velocity over concrete. What is the coefficient of kinetic friction between the box and the concrete? My guess is 10 kg/22 N = 0.4545 but I'm not sure if you have to take in account

53. ## Finite Math Help Please!!!

Finite Math Help Please!!! Can someone help me ? I am confused about this Problem? Median Quartile 1 (Q1) Quartile 3 (Q3) for boxplot 9 10 11 12 13 14 15 16 17 18 19 20 Data

54. ## Physics

A 0.630 kg wooden block is spun around on a wooden table. The wooden block is being spun around on a 2.00 m long massless wire. The wooden block has air being pushed out behind it causing a thrust force of 3.30 N. The air is being pushed out at 70.0° from

55. ## Math

A 2 digit even number is divided by 5. The quotient is a 1 digit even number. What are all the 2 digit numbers that fit this description ?

56. ## Physics

You are on a new planet and want to know the acceleration due to gravity. You take a ball and kick it at an angle of 26.0° at a speed of 21.0 m/s. If the ball is in the air for 7.30 s, what is the magnitude of the acceleration due to gravity?

57. ## Math

Write and solve a real- world problem that can be solved using the expression 3/4 divided by 1/6?

58. ## Physics

Sam and Terry find a 30.0 m deep wishing well and decide to make a wish. Terry throws a penny down the well at 3.00 m/s and Sam throws a penny up in the air at the same speed. If they threw them at the same time, how much time would there be between

59. ## math

in a grain bin 90' in diameter 130'tall how many bushel of grain at 1.2445 cubic feet per bushel will the bin hold?

60. ## Physical science

flammability is a material’s ability to burn in the presence of? A)hydrogen B)nitrogen C)oxygen D)carbon dioxide I think the answer is A am i right?

61. ## Government

which of the following is an example of the principle of checks and balances? A)President can veto an act of congress. B)Members of congress have the power to raise their own salaries C)Federal courts have the power to hear cases involving federal law

62. ## chemistry

?Fe(2+)+?NO3(-)+H(+)==》No+Fe(3+)+H2O What's the balanced equation?

63. ## Chemistry

A 25g piece of an unknown metal alloy at 150 degrees Celsius is dropped into an insulated container with 200 g of ice. Calculate the specific heat capacity of the metal, given that 9.0 g of ice melted. How would you work this out?

64. ## Spanish

Can someone who is good at Spanish (or fluent) please proofread these short stories I'm writing for my Spanish class? I am at a borderline grade right now, and if I can get a good grade on this assignment I can get pushed up to an "A". Thank you so much to

65. ## LA

2. Read the passage. What technique is the author using to develop point of view? "Though zoos are meant to be a joy to viewers and teach lessons about our earth, the zoo jails its inhabitants and passes on faulty knowledge." a. state a claim b. persuasive

66. ## Language Arts, can anyone check?

1. Which statement is shared by both "Zoos: Joys or Jails?" and "Why Do We Need Zoos?" a. clearly stated claim b. humorous introduction c. unsupported facts d. one-sided argument 23 Read the passage. What technique is the author using to develop point of

67. ## Math

Help Please. A wireless phone company offers two plans. In one plan, there is a monthly fee of \$40 and a charge of \$0.25 per minute. In the other plan, there is monthly fee of \$25 and a charge of \$0.40 per minute. For what number of minutes are the costs

68. ## Calculus

Linear Approximation Function is y=x2 . Take three points, x=2, x=3, x=4. Approximate this function at these three points for a deviation Δx =0.1. Which of the three points does the approximation works best? Which point does it works worst?

69. ## ELA

This presentation should consist of 5 Gerund sentences (subject, subject complement, direct object, indirect object, and object of the preposition) 2 participles - (1 with an auxiliary verb and 1 as an adjective) 4 infinitives (subject, direct object,

70. ## Math

Is this the answer to 3/4% of 75: 0.5625

71. ## Math

For this question 3/4% of 75 would I change 3/4 to a decimal and put it over 100?

72. ## Calculus

Which of the following integrals represents the volume of the solid formed by revolving the region bounded by y=x^3, y=1, and x=2 about the line y=10? a) pi*∫from (8-1) of (10-y)(2-y^(1/3))dy b) pi*∫ from (1-2) of (81-(10-x^3)^2)dx c)2pi*∫from (1-8)

73. ## Math

A football is punted. Its height, H metres is given by the quadratic relation with equation: H = -5t2 + 21t, where t is the time in seconds after the punt. I tried to do this question on a test but I just ran out of time How is the easiest and quickest way

74. ## Physics

Beam supported by a rope that can rotate about a hinge. The beam is supported by a rope attached 1.00 meter from the end of the beam. The beam has a mass of 10.0 kg and is 6.00 meters long. The rope makes a 60degree angle. What is the tension in the rope?

75. ## Pre-calculus

A surveyor standing 62 meters from the base of a building measures the angle to the top of the building and finds it to be 38°. The surveyor then measures the angle to the top of the radio tower on the building and finds that it is 45°. How tall is the

76. ## algebra

sket the graph of each linear inequality y

77. ## Calculus - Rate of Change

Can someone explain how to solve this problem? Sand is being dumped on a conveyor belt onto a pile in such a way that the pile forms in the shape of a cone whose radius is always equal to its height. Assuming that the sand is being dumped at a rate of 10

78. ## Calculus

How do the constants 5, 4, and 12 in f(x) = 5x^2 - 4x + 12, affect the derivative? Thanks!

79. ## Computer Architecture/Assembly Question - Amdahl's

Can someone show me how to solve this problem? For a program that is 70% parallelizable, what will be the speedup relative to a uniprocessor from running it on a 4,8, and 16 way multiprocessor assuming perfect load balancing. Thanks!

80. ## English

Select the letter of the term that identifies the function of the phrase in parentheses in the following sentence: One goal is (to see potato-starch food boxes rather than Styrofoam ones). a. adjective e. object of a preposition b. adverb f. direct object

81. ## Algebra 2

a company plans to sell embroidered hats for \$15. the company's financial planner estimates that the cost, y, of manufacturing the hats is a quadratic function with a y-intercept of 7,920 and a vertex of (150, 9,000). what is the minimum number of hats the

82. ## Calculus

Given h(x)=(6x^2+x)/x , find h'(0)

83. ## Calculus - Derivative

The curve is given by x^2+2r(sqrt(y))=xy What is dx/dy when r is constant?

84. ## college precalculus

find the sum of the infinite geometric series 1/3^6+1/3^8+1/3^10+1/3^12........ -100/9+10/3-1+3/10

85. ## math

For what values of k does the line y= x + k pass through the circle defined by x^2 + y^2 = 25 at: 2 points? 1 point? 0 points? I found the discriminant: 100- 4k^2 but i don't know how to find for each of the points

86. ## Calc

Find the linearization of f(x)=cos(x)-sin(2x) at x = 0.

87. ## Chemisty

How many litres of water at 100°C are vaporized by the addition of 5.00 MJ of heat

88. ## matter and energy

how much heat must be added to 5.0 g of solid lead at 30 degrees celcius to convert it to liquid lead at the melting point?

89. ## PhysicsI

A puddle holds 150 g of water. If 0.50 g of water evaporates from the surface, what is the approximate temperature change of the remaining water? (Lv = 540 cal/g)

90. ## PhysicsI

A windowpane is half a centimeter thick and has an area of 1.0 m2. The temperature difference between the inside and outside surfaces of the pane is 15° C. What is the rate of heat flow through this window? (Thermal conductivity for glass is 0.84

91. ## math

If 1/8" = 30' how many fractions of an inch is 24'

92. ## jacksonville

2NBr3+63NaOH--->N2+3NaBr+3hobr

93. ## calculus hw

What is the area bounded by y=x^2 and y=x^3-2x?

94. ## science

What can be inferred after performing the experiments in the Atomic Theory lab?

95. ## Chemistry

What molecular formula can you deduce from a mass spectrometry of 156 m/z. And how do you get that formula? Steps on how to get the formula is much appreciated! Thanks!

96. ## Statistics

Which is true about a 99% confidence interval for a population proportion based on a given sample? I. We are 99% confident that the population proportion is in our interval. II. There is a 99% chance that our interval contains the sample proportion. III.

97. ## Math

How do I convert this decimal into a fraction? 3.083 (The last 3 is repeating by itself)

98. ## Chemistry

What kind of reaction is this (redox, precipitation, acid-base, or complex ion formation reaction)? 1. 3 Ca(s) + 2 Al^3+(aq) -> 3 Ca^2+(aq) + 2 Al(s) 2. LiHCO3(s) + heat -> Li2CO3(s) + CO2(g) + H2O(g) Complete the reaction: Ni(s) + 2 Na^+(aq) -> ?

99. ## Chemistry

Need help with coming up with a extraction flow scheme for separating the compounds in this mixture: aniline, p-anisic acid, octanol, and NaCl Thanks!