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Question 1139094: write the following in set-builder notation. do not use words.
1.a) {3,7,11,15,...407}
1.b) {1,9,25,49,81,121,...}
i figured the pattern for 1.a would be +4 while b would be x^2.
thanks for helping!!
Click here to see answer by MathLover1(20849)

Question 1139096: write the following in set-builder notation. do not use words.
{1/2,3/4,5/8,7/16,9/32,11/64,...}
thanks for helping.
Click here to see answer by greenestamps(13200)

Question 1139125: A new university graduate determines that she can afford a car payment of R3 500 per month. If the car manufacturer is offering a special 2.1% p.a.financing rate, compounded monthly for 4 years, how much can she borrow and still have a R3 500 monthly payment?
Click here to see answer by Theo(13342)

Question 1139126: Find the lump sum that one must invest in an annuity in order to receive R1 000 at the end of each month for the next 16 years, if the annuity pays 9% per annum, compounded monthly.
Click here to see answer by ikleyn(52781)

Question 1139117: Suppose that a couple plans to set up an ordinary annuity whit a R100 000 inheritance they received. What is the size of the quarterly payment they will receive for the next 6 years (while their children are in university) if the account pays 7% p.a. compounded quarterly?
Click here to see answer by Boreal(15235)

Question 1139118: Jack and Jill have R300 000 for a down payment, and their budget can accommodate a monthly mortgage payments of R8 500.00. What is the most expensive home they can buy if they can borrow money for 30 years at 7.8 p.a., compounded monthly?
Click here to see answer by Boreal(15235)

Question 1139235: Determine the equation of the straight line that passes through points ( -3 ; 1 ) and ( 1 ; -1 ).
Click here to see answer by MathLover1(20849)

Question 1139234: How long will it take for an investment to double in value if the annual interest rate is 10% and interest is compounded every 4 months?
Click here to see answer by Boreal(15235)

Question 1139236: the profit made by a company when 60 units of its product is sold is R1600.00. when 150 units of its products are sold, the profit increases to R5200.00. assuming that the profit function is linear and of the form p(u)=a+bu where p is the profit in Rands and u is the number of units sold, determine the :
1.1 values of a and b
1.2 break-even level
1.3 number of units that need to be sold to realise a profit of R1200.00.

Click here to see answer by josgarithmetic(39617)

Question 1139214: Find the difference between the simple interest earned and the compound interest earned, compounded
yearly, on an amount of R4 240 at 6% interest per year for 3 years.
Click here to see answer by Boreal(15235)

Question 1139233: Joseph bought a town house in Northriding, Johannesburg, for R700 000 in 2007. He paid a deposit of R100 000 and managed to secure a loan for the outstanding amount. The term of the loan was 20 years and the interest rate was fixed at 7,75% per year, compounded monthly. Calculate Joseph minimum monthly payment to the nearest cent. 1.) Consider the amortisation of Joseph loan above. What will the outstanding balance, to the nearest cent, on the loan be after 12 years minimum payments have been made? 2.) How much will the town house cost Joseph in total over 20 years, deposit included? 3.) Consider the amortisation of Joseph loan above. Suppose Joseph made all minimum monthly payments on time into his loan account. In which year and month will the principal that is paid off in that month for the first time be more than the interest paid off? 4.) Suppose Joseph decided to pay R6 000 per month into his loan account from the start. How many years would it take Joseph to pay off this loan?
Click here to see answer by Theo(13342)

Question 1139230: Find the difference between the simple interest earned and the compound interest earned, compounded yearly, on an amount of R4 240 at 6% interest per year for 3 years.
Click here to see answer by Alan3354(69443)

Question 1139297: Simplify the expression. Does the X in the result have a positive coefficient?
(5x+10)+(x-10)
Click here to see answer by MathLover1(20849)

Question 1139356: Is f continuous at c?
Determine whether f is continuous at c. Use algebraic substitution, graphing, and or tables to determine your answer.
1. f(x) = 3x^3 - 6x^2 + 7x - 3, c = 2
2. f(x) = (x^2 + 5/ x - 6), c = 3
Click here to see answer by greenestamps(13200)

Question 1139460: The perimeter of a rectangle is (10x + 6)cm. If the length is 2(x+4) what is the breadth of the rectangle
Click here to see answer by josgarithmetic(39617)

Question 1139513: A source of sound of frequency 550Hz emits waves of wavelength 600mm in air at 20°C. (1) what is the velocity of sound in air at this temperature?(b) what would be the wavelength of the sound from the source ib air at 0°C?
Click here to see answer by ikleyn(52781)

Question 1139492: Mark won a lottery and received $74,000; he invested part of it in his retirement account and donated the rest to a charity. The amount of the donation was $500 less than a quarter of the amount of the investment. How much did Mark invest in his retirement account and how much did he donate to the charity?
(a) Define your variable(s).
(b) Construct a mathematical model (equation) in one unknown.
(c) Solve the equation constructed.
(d) Write a sentence to represent your findings
Click here to see answer by Theo(13342)

Question 1139631: In 2 years, an investment of $10,000 grows to $11,449. Use the compound interest formula A = P(1 + r)t
, where P is
principal in dollar and A is the amount after t years, to find the annual interest rate, r.

Click here to see answer by ikleyn(52781)

Question 1139649: The following account balances/totals are from the accounting records of Super Dealers:
Inventory (1 November 2017) ......................................................................
Inventory (31 October 2018) ........................................................................
R
130 000
80 000
Sales ............................................................................................................
150 000
Purchases ....................................................................................................
50 000
Carriage on purchases .................................................................................
5 000
Rental income ..............................................................................................
13 000
Admin cost ...................................................................................................
4 000
Depreciation .................................................................................................
8 000
Carriage on sales .........................................................................................
15 000
Repairs and maintenance ............................................................................
3 500
1.What will the gross profit amount of Super Dealers be for the financial year ended 31 October 2018?
2.What will the net profit amount of Super Dealers be for the financial year ended 31 October 2018?

Click here to see answer by ikleyn(52781)

Question 1139648: The following balances/totals were obtained from the financial records of Zulu Traders on 31 July 2018:
R
Property, plant and equipment - carrying amount ....................................
450 000
Trade and other payables ........................................................................
27 000
Cash and cash equivalents ......................................................................
22 000
Trade and other receivables ....................................................................
31 000
Long-term borrowings: SA Bank ..............................................................
68 000
Inventory ..................................................................................................
36 000
Revenue ..................................................................................................
210 000
Depreciation: Machinery ..........................................................................
42 000
Administrative expenses ..........................................................................
18 000
Drawings ..................................................................................................
6 000
1.Which one of the following options represents the total amount of assets that will form part of the statement of financial position of Zulu Traders for the year ended 31 July 2018?
2.Which one of the following options represents the total amount of liabilities that will form part of the statement of financial position of Zulu Traders for the year ended 31 July 2018?

Click here to see answer by ikleyn(52781)

Question 1139647: The following information was obtained from the accounting records of Kamuka Traders for the month ended 31 December 2018:
Bank reconciliation statement as at 30 November 2018
Debit
Credit
R
R
Debit balance as per bank statement ..........................................
8 000
Credit outstanding deposit ...........................................................
3 000
Debit outstanding cheques: 650 .................................................
500
652 .................................................
1 500
Credit balance as per bank account ............................................
7 000
10 000
10 000
The total for the cash payments journal was R11 600 and the total for the cash receipts journal was R19 400 on 31 December 2018, before the bank statement for December 2018 was received.
The bank statement had a favourable balance of R9 300 on 31 December 2018.
After a comparison of the bank statement for December 2018 with the bank reconciliation statement as at 30 November 2018 and the cash journals for December 2018, the following differences were identified:
 Cheque no. 650 for R500 appeared in the bank statement.
 A direct deposit for R3 000 rent received on 1 December 2018 appeared in the bank statement only.
 Bank charges for December 2018 amounted to R600 in the bank statement.
 A debtor, S Solly, deposited R5 300 directly into the entity’s bank account.
 A cheque for R900 which was previously received from Mr L Dan was dishonoured due to insufficient funds in his bank account and therefore returned by the bank.
 The following items appeared in the cash journals only:
 A deposit on 31 December 2018 for R5 000; and
 Cheque no. 730 (R700) and Cheque no. 736 (R6 000).
1.The total of the cash receipts journal of Kamuka Traders for December 2018 after the reconciliation process will be …
2.The total of the cash payments journal of Kamuka Traders for December 2018 after the reconciliation process will be …
3.The balance of the bank account as per the bank reconciliation statement of Kamuka Traders after the reconciliation process at 31 December 2018 will be …
Click here to see answer by ikleyn(52781)

Question 1139646: The following information was obtained from the accounting records of Nkomo Traders for the financial year ended 28 February 2019:
R
Inventory (1 March 2018) ...................................
200 000
Sales ..................................................................
320 000
Purchases ..........................................................
165 000
Sales returns ......................................................
700
Purchases returns ..............................................
4 600
Freight charges on purchases ............................
500
Freight charges on sales ....................................
1 300
Settlement discount granted ...............................
550
Settlement discount received .............................
165
A physical inventory count on 28 February 2019 indicated that inventory on hand amounted to R75 000. The periodic inventory control system is in use.
1. What is the cost of sales amount for the financial year ended 28 February 2019?
Click here to see answer by ikleyn(52781)

Question 1139691: How far out is the ship, Kala found triangle CDE to be coungruent(same size and shape) to triangle CBA
Click here to see answer by ikleyn(52781)

Question 1139691: How far out is the ship, Kala found triangle CDE to be coungruent(same size and shape) to triangle CBA
Click here to see answer by Alan3354(69443)

Question 1139774: Colton's parents want to create a college fund that pays $2,600.00 paid at the end of each quarter for 5 years, if interest is earned at a rate of 5%, compounded quarterly, how much needs to be invested now for this to happen.
Colton's parents need to invest $________
Click here to see answer by josmiceli(19441)

Question 1139781: Suppose you deposit $1500 in a savings account that pays interest at an annual rate of 5%. If no money is added or withdrawn from the account, answer the following questions.
a. How much will be in the account after 3 years?
b. How much will be in the account after 16 years?
c. How many years will it take for the account to contain $2000?
d. How many years will it take for the account to contain $2500?
Click here to see answer by ikleyn(52781)

Question 1139816: A specialty entertainment store find that if it sells x life-size animatronic Bryce Harper statues per month, its profit (In dollars) will be P(x)=-60x^2+1800x-7500.
A. Find any break even points.
B. Find the number of items that need to be produced and sold in order to maximize the profit.
C. Find the maximum profit.
Click here to see answer by josmiceli(19441)

Question 1139861: Jerry calculates that if he makes a deposit of $5 each month at an APR of 4.8%, then at the end of two years he'll have $100. Benny says that the correct amount is $135. what was the total amount deposited ( ignoring interest earned)?
The total amount deposited was ?
Click here to see answer by jim_thompson5910(35256)

Question 1139869: ricky has some stickers in a box. if he puts the stickers into bags of 9. he will have no stickers left over. if he puts them into bags of 10, he will have 2 stickers left over. what is the smallest possible number of stickers in the box?
Can you please help me with this problem.
Thank u
Pls could u make it understandable because me and my child have asked people but people make it too confusing
An equation or anything is fine
Thanks so much and sorry for the bother

Click here to see answer by Theo(13342)

Question 1139901: 4. Probability
A box is filled with candies in different colors. We have 40 white candies, 24 green ones, 12 red ones, 24 yellow ones and 20 blue ones. If we have selected one candy from the box without peeking into it, find the probability of getting a green or red candy.
Click here to see answer by ikleyn(52781)

Question 1139902: Mathematical Visualization, Fractals and Chaos
A. Application of Chaos theory to Population Dynamics
Click here to see answer by ikleyn(52781)

Question 1139900: Financial Mathematics
A. If you deposit six thousand five hundred into an account paying eight percent annual interest compounded monthly, how much money will be in the account after 7 years?
Click here to see answer by josgarithmetic(39617)

Question 1139905: Can someone help me about the each concepts of chaos theory and Aspects of concept theory?
Click here to see answer by ikleyn(52781)

Question 1139905: Can someone help me about the each concepts of chaos theory and Aspects of concept theory?
Click here to see answer by Alan3354(69443)

Question 1139946: Divide up the number 108 in a 3:4:5 ratio.
Click here to see answer by Alan3354(69443)

Question 1139948: A chain saw requires 3 hours of assembly and a wood chipper 5 hours. A maximum of 45 hours of assembly time is available. The profit is $ 160 on a chain saw and $ 240 on a chipper. How many of each should be assembled for maximum profit?
To attain the maximum profit, assemble
nothing chain saws and
nothing wood chippers.
Click here to see answer by Theo(13342)

Question 1140026: When Emily went to the emergency room, the doctors gave her a dose of blood coagulant, which is just a type of drug that helps blood clot. If the doctors originally gave Emily 4 milligrams of the drug and expect the amount in her bloodstream to decrease by 45% each hour, how many milligrams of the drug will be in her bloodstream after 6 hours? Round your answer to two decimal places.
I tried starting it but became lost in the wording. Someone please help
Click here to see answer by josgarithmetic(39617)

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