Tutors Answer Your Questions about Sequences-and-series (FREE)
Question 1115375: What's the next term (1,1,-2,4,-3,-1,0,0,0,8,2,-10,2,6)
Click here to see answer by greenestamps(13200)  |
Question 1115758: Find the sum of the geometric series in a - c
A.2+6+18+54+162
B.1+1/2 +1/4+........
Find the sum of the arithmetic series
A.4+1-2-5.......-32
B.1+3/2 +2+ 5/2 +....+15/2
Solve the following system of linear equations by using the inverse matrix method:
{2x+9y=-1}
{4x+y=15}
Please I would really appreciate the help guys.GOD BLESS!
Click here to see answer by Alan3354(69443)  |
Question 1115758: Find the sum of the geometric series in a - c
A.2+6+18+54+162
B.1+1/2 +1/4+........
Find the sum of the arithmetic series
A.4+1-2-5.......-32
B.1+3/2 +2+ 5/2 +....+15/2
Solve the following system of linear equations by using the inverse matrix method:
{2x+9y=-1}
{4x+y=15}
Please I would really appreciate the help guys.GOD BLESS!
Click here to see answer by ikleyn(52788)  |
Question 1115943: 5. A mutual fund is an investment company that distributes shares of its own stock continuously and is obligated to repurchase the stock from the shareholders upon request. A mutual fund owns the securities of several corporations and receives dividends on the shares that it holds. These cash dividends are then paid to its shareholders, who in turn may reinvest the dividends automatically in additional shares. In mutual funds, it is hoped that a loss in one holding will be compensated for by a gain in another holding. One important advantage of these funds is that they usually choose stocks or bonds that are most likely to yield profits, reducing your chances of losing money.
A popular type of mutual fund is a money market fund, which invests only in high-yielding government and corporate short-term securities. These types of funds provide an alternative to a savings account in a bank because they usually have higher interest rates. A certificate of deposit, commonly known as a CD, is a type of money-market fund.
The mutual fund actually originated in Europe in the early part of the nineteenth century and did not become popular in the United States until the 1920s. Mutual funds experienced a period of tremendous growth after World War II.
Suppose you began making annual investments several years ago in a mutual fund in order to save for retirement. You initially invested $1000 and increased this amount by 3% per year as your salary rose. Shares of the fund initially cost $50 each and have been increasing in price by 12% each year.
a) Write a rule for the amount invested in year n.
b) Write a rule for the share price in year n at the time you invested.
c) Write a rule for the number of shares bought in year n.
d) Even though you have been investing larger amounts of money each year, your recent annual statements from your mutual fund company show that the number of shares you own has barely increased at all. Has the company made an error? Justify your answer mathematically.
Click here to see answer by Theo(13342)  |
Question 28030: find the mean, median, and mode of the set: 1,2,2,3,3,3,4,4,4,4
Click here to see answer by Shin123(626)  |
Question 54872: Hello, I could really use some help on this one. Thanks! Lydia takes ten minutes more to complete an illustration than Tom. The total time taken by both of them is six hours. How much time did each require?
Click here to see answer by Shin123(626)  |
Question 87251: I would really appreciate any help with this problem. If i learn this one i should be able to do the others following. Write a recursive rule for the sequence. The sequence may be arithmetic, geometric, or neither. 6,10,14,18,22..
Click here to see answer by Shin123(626)  |
Question 1116320: Calculate
9^563 mod907
Identify which one of the following options gives the correct solution for the above expression ?
310
520
630
493
My working:
9^563 mod 907
First I identified the exponents.
9^1 mod 907
9^2 mod 907
9^16 mod 907
9^32 mod 907
9^512 mod 907
(512+32+16+2+1=563)
9^1 mod 907=9
9^2 mod 907=81
9^16 mod 907 =669
9^32 mod 907 =410
9^512 mod 907=862
To show my working between 9^32 mod 907 and 9^512 mod 907
9^64 mod 907= 410^2 mod 907 =305
9^128 mod 907=305^2 mod 907=511
9^256 mod 907 =511^2 mod 907 = 812
9^512 mod 907= 812^2 mod 907=862
But I am not sure what is the final step....
Click here to see answer by ikleyn(52788)  |
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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
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