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Question 1142545: A Geometric progression X has a first term of 4a and its sixth term is 256. Another Geometric progression Y has a first term of 3a and its fifth term is 48.
i) First term of X
ii) Sum of the first four terms of X .
Click here to see answer by greenestamps(13195)

Question 1142568: trader needs ₦300,000 to improve her business, she deposits ₦110,000 in her savings account at 5% per annum compound interest. she then adds ₦50,000 to her savings at the end of each year.
a) Find her total savings after 3 years.
b) By how much is her savings greater or lesser than ₦300,000 at the end of the third year.

Click here to see answer by ikleyn(52751)

Question 1142694: A spherical ballon is being filled with air at a constant rate of 2cm^3 per second. Use the chain rule for differentiation to find an expression for dr/dt in terms of r, where t is the time in seconds.
Click here to see answer by greenestamps(13195)

Question 1142699: Evaluate (212)³ - (121)³ + (222)³
Click here to see answer by greenestamps(13195)

Question 1142720: A spherical ballon is being filled with air at a constant rate of 2cm^3 per second. By using the chain rule dr/dt equals to 1/2(pi)(r^2) where t is in seconds. The rate at which the radius is increasing when r=54 is 1/5832pi. The balloon will burst when the radius reaches 100cm. Find the rate at which the surface area is increasing at that point in time.
Click here to see answer by Alan3354(69443)

Question 1142739: Let p(x) =x^5 - 10x^2 + 15x -6
X=1 is a root of p(x) of multiplicity 3. Find the two complex roots of p(x)
Click here to see answer by josgarithmetic(39613)

Question 1142921: 14. Find the sum of b and c if the equation x^3+bx=c has solutions 2 and - 3
Click here to see answer by josgarithmetic(39613)

Question 1142919: If ܽa⊗b=a−2×b, find the value of 7⊗(5⊗2).
Click here to see answer by Alan3354(69443)

Question 1142919: If ܽa⊗b=a−2×b, find the value of 7⊗(5⊗2).
Click here to see answer by greenestamps(13195)

Question 1142934: The first 24 terms of an arithmetic series are 35+42+49...+196.Calculate the sum of ALL natural numbers from 35 to 196 that are not divisible by 7
Click here to see answer by math_helper(2461)

Question 1142932: If [2tan15°/(1 + tan²15°)] = cos60°, show that tan15° = 2 - √(3)
Click here to see answer by solver91311(24713)

Question 1142931: (a) Write down in full the binomial expansion of (2 - 0.5x)^5 and simplify the coefficients.
(i) Find the sum of the coefficients of x³, x⁴ and x^5 in the expansion above.
(ii) Use your expansion in (a) to calculate the value of (1.999)^5. Correct your answer to 2 significant figures.
Click here to see answer by solver91311(24713)

Question 1142955: Solve the simultaneous equation:
4x² - 9y² = 19
2x + 3y = 1
Click here to see answer by rothauserc(4718)

Question 1142955: Solve the simultaneous equation:
4x² - 9y² = 19
2x + 3y = 1
Click here to see answer by greenestamps(13195)

Question 1142954: An arc of a cirle of radius 7cm subtends an angle of 120° at the centre. Find its perimeter.

Click here to see answer by ankor@dixie-net.com(22740)

Question 1142954: An arc of a cirle of radius 7cm subtends an angle of 120° at the centre. Find its perimeter.

Click here to see answer by Alan3354(69443)

Question 1142954: An arc of a cirle of radius 7cm subtends an angle of 120° at the centre. Find its perimeter.

Click here to see answer by greenestamps(13195)

Question 1143023: Find the zeroes and discontinuities of:
y= (cosx°+sinx°)/ (cosx° − sinx°)

Click here to see answer by Edwin McCravy(20054)

Question 1143143: The measure of the five angles of a pentagon are represented by (6x)°, (8x)°,(7x-5)°, (5x+5)°, (9x+15)°. Find the measure of the smallest angle
Click here to see answer by Alan3354(69443)

Question 1143103: If tan3A/tanA = k, then find cos3A/cosA
Click here to see answer by Edwin McCravy(20054)

Question 1143324: I have coins in the ratio 3 : 2 : 1 in the denomination of
₹ 5, ₹ 2 and ₹ 1. If I have a total amount of ₹ 120, then how
many ₹ 5 coins do I have?
Click here to see answer by Alan3354(69443)

Question 1143321: Look at this series: 10, 12, 14, 15, 17, 19, 20, 21, ?
What number should come next in this series?
Click here to see answer by Alan3354(69443)

Question 1143321: Look at this series: 10, 12, 14, 15, 17, 19, 20, 21, ?
What number should come next in this series?
Click here to see answer by josgarithmetic(39613)

Question 1143322: If R and r denote the external and internal radii of a
hollow right circular cylinder respectively and h is the
height, then the total surface area becomes
Click here to see answer by Alan3354(69443)

Question 1143323: Even after giving a discount of 12%, an article was
sold at a profit of 10%. By what percentage the marked
price was more than the cost price?
Click here to see answer by Theo(13342)

Question 1143345: James invested ₹ 600 on simple interest and ₹ 1200 on compound interest
for two years at the same rate of interest of 20% per annum. What is the total
interest earned?
Click here to see answer by josmiceli(19441)

Question 1143342: A train running at a speed of 72 km/hr takes 25 seconds to cross an electric pole.
What is the length of the train?
Click here to see answer by math_helper(2461)

Question 1143342: A train running at a speed of 72 km/hr takes 25 seconds to cross an electric pole.
What is the length of the train?
Click here to see answer by ikleyn(52751)

Question 1143347: The number 40 is divided into two parts in such way that two times the
square of the first number exceeds the second number by 5. Find the two
numbers.
Click here to see answer by greenestamps(13195)

Question 1143343: The distance covered by a stone is inversely proportional to square of its weight.
A 3 kg stone covers a distance of 9 meter when it is thrown. What will be the
distance covered by a 4 kg stone when it is thrown?
Click here to see answer by josmiceli(19441)

Question 1143344: A fruit-seller sells grapes at a loss of 23% and uses false weight which is 30%
less than the original weight. What is his gain or loss percentage?
Click here to see answer by greenestamps(13195)

Question 1143478: What is the smallest positive integer which, when divided by each of 2, 3, 4, 5, 6
and 7, will give in each case a remainder that is one less than the divisor?
Click here to see answer by greenestamps(13195)

Question 1143477: Donald has a pair of blue shoes, a pair of red shoes, and a pair of white shoes. He
wants to put these six shoes side by side in a row. However, Donald wants the left
shoe of each pair to be somewhere to the left of the corresponding right shoe. How
many ways are there to do this?
Click here to see answer by Edwin McCravy(20054)

Question 1143665: Use graphs and tables to find the limit and identify any vertical asymptotes of the function.
limit of 1 divided by the quantity x minus 2 squared as x approaches 2
Click here to see answer by greenestamps(13195)

Question 1143705: what is the best way to show a complex data chart in word
A. Embedding a complex object
B. your cant present complex data chart in word
C. storing data in a seperate Excell file and compy and paste into word
D. storing data in the word document excell sheet

Click here to see answer by ikleyn(52751)

Question 1143638: 0

The population P of bacteria in an experiment grows according to the equation \frac{dP}{dt}=kP, where k is a constant and t is measured in hours. If the population of bacteria doubles every 24 hours, what is the value of k?
I was given this problem and I'm not sure what to do with it. I know the formula for this kind of equation is ce^{kx}. But,how do you plug in the values given?

Click here to see answer by greenestamps(13195)

Question 1143781: Assume that the cost of investment is 10 000 and will result in cash flows of 6 000 in the first year and 6 000 in year 2.the companys cost of capital is 20%.find the net present value.
Click here to see answer by Theo(13342)

Question 1143962: A two digit number exceed twice the sum of digits by 7.find the number if its ten digits is smaller than its unit digit is also by 7

Click here to see answer by josgarithmetic(39613)

Question 1143968: If x² - ax + b = 0 has integers roots such that a + b = 4, then find a - b.
Click here to see answer by josgarithmetic(39613)

Question 1144041: which ofthe following lines is perpendicular to 3y=5x-1
Click here to see answer by Theo(13342)

Question 1144104: A three digit number whose hundreds is half the tens digit is 2 more than the units digit.
Click here to see answer by greenestamps(13195)

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, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 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20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650