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Question 1196034: Please help with the homework:
1. Thomas buys a small fish tank from "fish world" the dimensions of the fish tank are given as : length=91 cm,breadth=32cm and height=35 cm.
1.1. calculate the amount of glass that will be needed to make the tank.( Remember it is open at the top).
1.2. Calculate the volume of the tank in centimeter's cube.( Remember of regular prism = Area of base × height).
1.3. How many litres of water will the tank hold when full.( Remember 1cm^3= 1 ml.

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Question 1196016: If a simple discount rate of 11% is equivalent to a simple interest rate of 14.5%. Then what is the length of time under consideration?
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Question 1196036: Please help with the homework:
Justin is remodeling his garden and decides to create a simple swimming pool. He plans to dig and build out a rectangular hole and line it with spray on cement. The dimensions of the walls are as follows: height= 1.5m, length=5m and breadth=3m.
1.1. what is the surface area of the inside of the pool?
1.2.The pool will be covered in two layers of cement.Calculate how much it would cost to line the pool if the cement cost R150.00 per square meter.
1.3. Calculate the percentage of the pool that could be filled by the water in the tank. (Remember 1m^3 =1000litres).

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Question 1196036: Please help with the homework:
Justin is remodeling his garden and decides to create a simple swimming pool. He plans to dig and build out a rectangular hole and line it with spray on cement. The dimensions of the walls are as follows: height= 1.5m, length=5m and breadth=3m.
1.1. what is the surface area of the inside of the pool?
1.2.The pool will be covered in two layers of cement.Calculate how much it would cost to line the pool if the cement cost R150.00 per square meter.
1.3. Calculate the percentage of the pool that could be filled by the water in the tank. (Remember 1m^3 =1000litres).

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Question 1196015: Three years ago Malcolm borrowed R7500 from Sarah on condition that he would repay her back in five years time. Interest is calculated at 13,5% every Three months.Nine months ago he also borrowed R2500 from her at an interest of 15,7% per year compounded monthly payable in two years from now. What will be the total amount that Malcolm owes Sarah two years from now?
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Question 1196061: 1. A shopkeeper buys a certain number of bottles of mayonnaise for R100, she sells all except for ten of them which broke while being unpacked, making a profit of R50.00 If she sold each bottle R10.oo more than she originally paid for it
1.1. How much did he pay for one bottle?
1.2. how much did he sell each

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Question 1196061: 1. A shopkeeper buys a certain number of bottles of mayonnaise for R100, she sells all except for ten of them which broke while being unpacked, making a profit of R50.00 If she sold each bottle R10.oo more than she originally paid for it
1.1. How much did he pay for one bottle?
1.2. how much did he sell each

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Question 1196091: Please help with the homework:
At what compound interest rate per annum must money be invested if the principal must treble in ten years and interest is calculated monthly.

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Question 1196098: A firm can produce three types of cloths A, B and C. Three kinds of wool are required
for it, say red, green and blue wool. One unit of type ‘A’ cloth needs 2 yards of red
wool, 8 yards of green and one yard of blue wool; one unit highlight%28cross%28length%29%29 of type ‘B’ cloth
needs one yard of red, 3 yards of green and 5 yards of blue wool; one unit highlight%28cross%28length%29%29 of
type ‘C’ cloth needs 6 yards red, 2 yards of green and one yard of blue wool. The firm
has only a stock of 9 yards red, 13 yards green and 7 yards of blue wool. If total stock
is used, then write mathematical formulation of the problem and determine the
number of units of the three type’s cloth A, B and C to be produced by using Gauss
Elimination method

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Question 1196118: Please help me with the homework:
A university student plans to buy a second hand car costing R150000.00 in five years time. The student decides to invest money into an investment fund earns 10% p.a.compounded monthly. How much is the amount of money that he will need to pay into this investment fund every months?

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Question 1196141: Please help with the homework:
Liza purchases an apartment by paying a deposit of R60000, and obtains a 20 year loan for the balance of R120000 at 20% interest rate per annum compounded monthly. After four and half years, the bank adjusts the interest rate to 18% per annum compound monthly. What is the new amount that he must pay if the term of the loan remains the same?

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Question 1196141: Please help with the homework:
Liza purchases an apartment by paying a deposit of R60000, and obtains a 20 year loan for the balance of R120000 at 20% interest rate per annum compounded monthly. After four and half years, the bank adjusts the interest rate to 18% per annum compound monthly. What is the new amount that he must pay if the term of the loan remains the same?

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Question 1196059: Please help with the homework:
At what compound interest rate per annum must money be invested if the principal must be treble in ten years and interest is calculated monthly

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Question 1196137: Please help with the homework:
Draw up an amortization schedule for a loan of R5000 that is repaid in annual payments over five years at an interest rate of 15% per annum.

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Question 1196148: please help with equation for interest
if a principle of 2000 at rate of 6% earns 300, how much will principle of 4000 earn at 8%?

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Question 1196146: Find the exact of sin^-¹(1/8) + cos^-¹(1/8)

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Question 1196145: Solve the equation Z² + i√(32)Z -60=0
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Question 1196147: Prove that sin[2cos^-¹(x)]=(2x)√(1-x²)
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Question 1196149: Find the exact value of x for which 4cosh(x) - e^-(x) = 3
Find the exact value of cosh^-¹(3) - sinh^-1(2)

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Question 1196149: Find the exact value of x for which 4cosh(x) - e^-(x) = 3
Find the exact value of cosh^-¹(3) - sinh^-1(2)

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Question 1196173: Mr. Scurtu wants to invest some of his $10,000 in an aggressive stock fund that he expects to earn 12% annually and the rest in less risky bonds making 4% annually. If he hopes to earn $1000 in annual interest, how should he split his investment between the stock fund and the bonds?

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Question 1196173: Mr. Scurtu wants to invest some of his $10,000 in an aggressive stock fund that he expects to earn 12% annually and the rest in less risky bonds making 4% annually. If he hopes to earn $1000 in annual interest, how should he split his investment between the stock fund and the bonds?

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Question 1196174:
Clark and Cris picked 1 1/2 gal of blackberries and divided them evenly between themselves. How many gallons of blackberries did each get?

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Question 1196132: John puts R3000 on a second hand car and contracts to pay the balance in 24 monthly installments of 400 each,if interest is charged at a rate of 24% per annum payable monthly:
1.1. how much did the car cost when John purchased it?
1.2. how much interest does he pay?

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Question 1196198: Please help with the homework:
Peter get employed on the first of January 2020, suppose Peter purchase an apartment of R180000 with a deposit of R45000. Peter secure a mortgage bond with a bank for the balance at 18% interest per annum, compounded monthly with a term Of 20 years. What will be the monthly payment?

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Question 1196193: 1. A hotel quotes a tariff of R2100.00 per week for a single room.
1.1. use an equation to relate the number of days to the corresponding cost.
1.2. what is the tariff per day?
1.3. what is the cost of staying in this hotel for ten days?

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Question 1196219: Suppose you received $10 from your grandma for your birthday.You spent $4 on snacks.Using addition,how would you write a number sentence to represent this situation how would you model your equation on a number line to show your answer

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Question 1196205: A person plans to invest a total of $110,000 in a money market account, a bond fund, an international stock fund, and a domestic stock fundShe wants 60% of her investment to be conservative (money market and bonds). She wants the amount in domestic stocks to be 4 times the amount in international stocks. Finally, she needs an annual return of $4,400. Assuming she gets annual returns of 2.5% on the money market account, 3.5% on the bond fund4% on the international stock fundand 6% on the domestic stock fund, how much should she put in each investment?
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Question 1196232: Find the exact value of sin^-¹(1/8)+cos^-¹(1/8)
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Question 1196233: Prove that sin[2cos^-¹(x)]=(2x)√(1 - x²)
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Question 1196234: Solve the equation Z² + (i√32)Z - 60 = 0
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Question 1196235: Find the exact value of cosh^-¹(3) - sin^-¹(2)
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Question 1196255: To determine the number of in a lake ​, a conservationist catches 450 trout's ​, tags​ them, and releases them. Later 88 are​ caught, and it is found that 45 of them are tagged. Assuming that the proportion of tagged in the second sample was the same as the proportion of tagged in the total​ population, estimate the number of in the lake.
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Question 1196255: To determine the number of in a lake ​, a conservationist catches 450 trout's ​, tags​ them, and releases them. Later 88 are​ caught, and it is found that 45 of them are tagged. Assuming that the proportion of tagged in the second sample was the same as the proportion of tagged in the total​ population, estimate the number of in the lake.
Click here to see answer by ikleyn(52781) About Me 
Question 1196255: To determine the number of in a lake ​, a conservationist catches 450 trout's ​, tags​ them, and releases them. Later 88 are​ caught, and it is found that 45 of them are tagged. Assuming that the proportion of tagged in the second sample was the same as the proportion of tagged in the total​ population, estimate the number of in the lake.
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Question 1196254: One employee of a computer store is paid a base salary of ​$4000 a month plus 8 ​% commission on all sales over ​$6000 during the month. How much must the employee sell in one month to earn a total of ​$5000 for the​ month?
Write an equation required to find the​ solution, using x to represent the amount of​ sales, in​ dollars, by the employee.

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Question 1196254: One employee of a computer store is paid a base salary of ​$4000 a month plus 8 ​% commission on all sales over ​$6000 during the month. How much must the employee sell in one month to earn a total of ​$5000 for the​ month?
Write an equation required to find the​ solution, using x to represent the amount of​ sales, in​ dollars, by the employee.

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Question 1196258: The manager of a restaurant found that the cost to produce 50 cups of coffee is
$ 9.00​, while the cost to produce 350 cups is ​$39.00. Assume the relationship between the cost y to produce x cups of coffee is linear.
a. Write a linear equation that expresses the​ cost, y, in terms of the number of cups of​ coffee, x.
b.  How many cups of coffee are produced if the cost of production is ​$

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Question 1196259: In ​2007, the population of a certain country per square mile of land area was 83. In​ 2000, the person per square mile population was 79.5 . Assume the relationship between years and persons per square mile is a linear relationship.
a. Write an​ equation, in​ slope-intercept form, describing the relationship between year and persons per square mile. Use ordered pairs of the form (x,y) ​, where x is the number of years past 2000 and y is persons per square mile.
b. Use this equation to predict the person per square mile population in 2020 .

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Question 1196275: Write a slope-intercept equation for a line passing through the point (3,5) that is parallel to y=
the given line.
5*+ 1. Then write a second equation for a line passing through the given point that is perpendicular to
on 26
A slope-intercept equation for a line passing through the point (3,5) that is parallel to y =
5*+1 is/
(Simplify your answer. Type an equation. Use integers or fractions for any numbers in the equation.)

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Question 1196284: Characteristics function of normal distribution
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Question 1196285: Find the exact value of arcsin(1/8) + arccos(1/8).
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Question 1196285: Find the exact value of arcsin(1/8) + arccos(1/8).
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Question 1196287: Approximately 6.3 million wrecked cars are recycled in two consecutive years. There were 100,000 more recycled the second year than the year How many cars are recycled each year ?
Let x be the number of cars, in millions, recycled in the first year. Write an equation for the total numbers of cars recycled.

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Question 1196277: The chart to the right shows a country's annual egg production. Model the data in the chart with a linear function, using the points (1994,52.7) and (1998,61.2). Let x
represent the year, where x = 0 represents 1994, x= 1 represents 1995, and so on, and let y represent the egg production (in billions). Predict egg production in 2000.
The linear model for the data is
(Type your answer in slope-intercept form. Use integers or decimals for any numbers in the equation. Round to three decimal places as needed.)
Year
1994
1995
1996
1997
1998
1999
2000
Egg products (in billions)
52.7
53.6
55.4
58.1
61.2
64.8
70.7
Check answer

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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, 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