Questions on Algebra: Complex Numbers answered by real tutors!

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Question 1193126: If is a complex function of the complex variable z, evaluate each quantity:
a) f(i)
b) f(-1)
c) f(-1+i)
d) f(2+i)
Click here to see answer by Boreal(15235)

Question 1193382: Mr Charles borrowed the sum of $10000 from a finance company for 6 years and 8% per annum at simple interest rate. The amount returned by him to the finance company is
Click here to see answer by math_tutor2020(3816)

Question 1193425: How long will it take the sum of $1250 to grow to $10000 if it is invested 12.5% p.a simple interest
Click here to see answer by math_helper(2461)

Question 1193426: If 8kg of groundnut which is priced at $6 per kg is combined with 12kg of cashew nut which is priced at $5 per kg. What is the price per kg of the resulting mixture?
Click here to see answer by josgarithmetic(39613)

Question 1193427: A vendor sells 60% of apples he had and throws away 15% of the remainder. Next day, he sells 50% of the remainder and throws away the rest. What percent of the apples does the vendor throws away?
Click here to see answer by Boreal(15235)

Question 1193906: help is appreciated!
Let $f(x) = \lfloor x \lfloor x \rfloor \rfloor$ for x >= 0
(a) Find all x >= 0 such that f(x) = 1.
(b) Find all x >= 0 such that f(x) = 3.
(c) Find all x >= 0 such that f(x) = 5.
(d) Find the number of possible values of f(x) for 0 <= x <= 10.
Click here to see answer by ikleyn(52747)

Question 1194290: Two numbers differ by 8 and their name product is 209. Find the numbers
Click here to see answer by Boreal(15235)

Question 1194290: Two numbers differ by 8 and their name product is 209. Find the numbers
Click here to see answer by ikleyn(52747)

Question 1194290: Two numbers differ by 8 and their name product is 209. Find the numbers
Click here to see answer by greenestamps(13195)

Question 1194289: The ages of two sisters are 9 and 12 years respectively. In how many years time will the product of their ages be 418 years?
Click here to see answer by Boreal(15235)

Question 1194289: The ages of two sisters are 9 and 12 years respectively. In how many years time will the product of their ages be 418 years?
Click here to see answer by greenestamps(13195)

Question 1194287: Find two consecutive numbers whose product is 210
Click here to see answer by Boreal(15235)

Question 1194287: Find two consecutive numbers whose product is 210
Click here to see answer by ikleyn(52747)

Question 1194285: A fair die is thrown, find the probability of getting
(a) five (b) an odd number (c) a number less than four
Click here to see answer by Boreal(15235)

Question 1194285: A fair die is thrown, find the probability of getting
(a) five (b) an odd number (c) a number less than four
Click here to see answer by ikleyn(52747)

Question 1194288: A mother is three times as old as her son. In 18 years time, she will be twice as old as her son. How old is she now?
Click here to see answer by ikleyn(52747)

Question 1194288: A mother is three times as old as her son. In 18 years time, she will be twice as old as her son. How old is she now?
Click here to see answer by MathLover1(20849)

Question 1194288: A mother is three times as old as her son. In 18 years time, she will be twice as old as her son. How old is she now?
Click here to see answer by MathTherapy(10549)

Question 1194286: A number is picked from (1,2_,_,_,_,_10). What is the probability that the number is
(a) prime number (b) Even number (c) more than four (d) a factor of 15 (e) multiple of three
Click here to see answer by Boreal(15235)

Question 1194781: Given 2x² = -8, x is
.

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Question 1194781: Given 2x² = -8, x is
.

Click here to see answer by ikleyn(52747)

Question 1194866: 0=4x4−x3−5x+3

Click here to see answer by greenestamps(13195)

Question 1194866: 0=4x4−x3−5x+3

Click here to see answer by MathLover1(20849)

Question 1195170: Any other tutors tired of having to go thru several steps with the ads?
Then having to say why you're not interested in the ads?
I am.
Alan3354 is done with this if it continues.
Click here to see answer by ikleyn(52747)

Question 1194520: 1. Given: Z1= 2-2i , Z2= 3i and Z3= -3+i .Find:
(c) Z1*Z3 (d) Z3xZ2 (e) the acute angle between Z1 and Z2
Click here to see answer by prakharsingh406(1)

Question 1194520: 1. Given: Z1= 2-2i , Z2= 3i and Z3= -3+i .Find:
(c) Z1*Z3 (d) Z3xZ2 (e) the acute angle between Z1 and Z2
Click here to see answer by ikleyn(52747)

Question 1195359: (5i)/((1-i)(2-i)(3-i))

Click here to see answer by MathLover1(20849)

Question 1195361: (1-i)(1-i)(1-i)
Click here to see answer by MathLover1(20849)

Question 1195363: ((2+3i)^2)-(3i-6)=1+9i

Click here to see answer by josgarithmetic(39613)

Question 1195362: |z-1+i|=1
Click here to see answer by ikleyn(52747)

Question 1195879: Rewrite square root of negative 9 end root minus 6 in complex number notation.
Click here to see answer by Alan3354(69443)

Question 1195879: Rewrite square root of negative 9 end root minus 6 in complex number notation.
Click here to see answer by math_tutor2020(3816)

Question 1196012: If z is a complex number, solve the equation z^2+2z+5=0
Click here to see answer by josgarithmetic(39613)

Question 1196272: Find a linear function h, given h(9) = - 39 and h(- 1) = 11. Then find h(5).
h(x)=
(Type an expression using × as the variable. Simplify your answer.)
Click here to see answer by ikleyn(52747)

Question 1196286: The remainder when 𝑝(𝑥) = 𝑥^2022 − 𝑥^2021 + 𝑥^2020 − ⋯ + (−1)^𝑖𝑥^𝑖 + ⋯ −𝑥^3 + 𝑥^2 − 𝑥 + 1, is divided by (𝑥 − 1) is
Click here to see answer by ikleyn(52747)

Question 1196286: The remainder when 𝑝(𝑥) = 𝑥^2022 − 𝑥^2021 + 𝑥^2020 − ⋯ + (−1)^𝑖𝑥^𝑖 + ⋯ −𝑥^3 + 𝑥^2 − 𝑥 + 1, is divided by (𝑥 − 1) is
Click here to see answer by math_tutor2020(3816)

Question 1196289: What is the value of (−1)^𝑖𝑥^𝑖 when x=1?
Click here to see answer by MathLover1(20849)

Question 1196365: If n = 1. Evaluate 3n - 2.
Click here to see answer by Solver92311(821)

Question 1196364: a12 = -45, a10 = -37; a1 = ?
Click here to see answer by Solver92311(821)

Question 1196453: Each day Sal prepares a large basket of self-serve tortilla chips in his restaurant. On Monday, 28 adult patrons and 37 child patrons ate 12.67 kg of chips. On Tuesday, 14 adult patrons and 30 child patrons ate 11.3 kg of chips. Write two equations that would be used to solve the system so that Sal would know whether adults or children eat more chips on average.
Click here to see answer by Theo(13342)

Question 1196474: z²-(2-3i)z-5+i=0
Click here to see answer by Alan3354(69443)

Question 1196706: Aling Linda ang Aling Martha are twins. They are preparing foods for their birthday. Aling Linda prepared 50 Ibos while Aling Martha prepared 30 suman. Each of them would like to give it to their visitors. What is the greatest number of native foods each their visitors get if Aling Linda and Martha will give the same number of native foods
Click here to see answer by josgarithmetic(39613)

Question 1196798: prove that √ 2/2 + √ 2/2i is a square root of i
Click here to see answer by math_tutor2020(3816)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380