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Question 1118251: When Sue used the tax table to calculate her income tax payable, it turned out to be $23 097. What was her taxable income?
0–$18 200: Nil
$18 201– $37 000: 19c for each $1 over $18 200
$37 001– $80 000: $3 572 plus 32.5c for each $1 over $37 000
$80 001–$180 000: $17 547 plus 37c for each $1 over $80 000
$180 001 and over: $54 547 plus 45c for each $1 over $180 000

Click here to see answer by Theo(13342) About Me 

Question 1118268: At 6 am the temperature was -5. In the after it was 10 c. What was the change of temperature during the day?
Click here to see answer by josmiceli(19441) About Me 

Question 1118299: How many years will it take for a machine valued at $11,000 to drop below $6,000 if the rate of depreciation is 12% p.a.?
Click here to see answer by Theo(13342) About Me 

Question 1118317: Take the basic graph of f(x) = 2^x. Now we are going to perform a transformation: f(x) = 2^(-x +3). The graph of this function is the graph of the original function reflected across the y axis. We also have a horizontal shift, and it is here that I have a question. My understanding is that a +3 would cause a shift to the left of 3. However, when I plot this function using a graphing utility it is shifted to the right. Why do I see this discrepancy?
Thanks.
David
dmurley@acm.org

Click here to see answer by rothauserc(4718) About Me 

Question 1118319: Give the equation
X^2+4y^2=16 find:
a. The center C (use (,))
b. Length of major axis
c. Length of minor axis
d. Distance from C to foci c
hint: divide by 16

Click here to see answer by greenestamps(13200) About Me 

Question 1118310: Find the monthly payment and estimate the remaining balance. Assume interest is on the unpaid balance.
Twenty​-year mortgage for ​$290,000 at 3.54 %; remaining balance after 12 years.
The monthly payment is$?

Click here to see answer by Theo(13342) About Me 

Question 1118335: Give the equation
4x^2+9y^2=36 find:
a. The center C (use (,))
b. Length of major axis
c. Length of minor axis
d. Distance from C to foci c
Hint: divide by 36
How do you find the distance from C to foci C?

Click here to see answer by josgarithmetic(39617) About Me 

Question 1118323: Find the final amount in the following retirement​ account, in which the rate of return on the account and the regular contribution change over time.
​$369 per month invested at 4​%, compounded​ monthly for 7 years;
then ​$603 per month invested at 6​%, compounded​ monthly, for 7 years.
What is the amount in the account after 14 ​years?

Click here to see answer by Theo(13342) About Me 

Question 1118273: Find the future value of the following ordinary annuities. Payments are made and interest is compounded as given. R=8000, 8% interest compounded annually for 10 years. What is the future value of the ordinary annunity
Click here to see answer by ikleyn(52781) About Me 

Question 1118312: Find the payment necessary to amortize a 12% loan of ​$1800 compounded​ quarterly, with 17 quarterly payments.
The payment size is $?

Click here to see answer by Boreal(15235) About Me 
Question 1118312: Find the payment necessary to amortize a 12% loan of ​$1800 compounded​ quarterly, with 17 quarterly payments.
The payment size is $?

Click here to see answer by ikleyn(52781) About Me 
Question 1118312: Find the payment necessary to amortize a 12% loan of ​$1800 compounded​ quarterly, with 17 quarterly payments.
The payment size is $?

Click here to see answer by solver91311(24713) About Me 

Question 1118464: 2 root 6 - root5 / root 45 - root 24
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1118322: Find the future value of this loan:
$14,295 at 10.4% for 17 months.
The future value of the loan is

Click here to see answer by addingup(3677) About Me 

Question 1118425: A manufacturer produces two models of mountain bikes. Model A requires 5 hours of assembly time and 2 hours of painting time, and Model B requires 4 hours of assembly time and 3 hours of painting time. The maximum total weekly hours available in the assembly department and the painting department are 200 hours and 108 hours, respectively. The profits per unit are $25 for Model A and $15 for Model B. How many of each type should be produced to maximize profit?

___ bikes of Model A
___ bikes of Model B

What is the maximum profit? $____

Click here to see answer by greenestamps(13200) About Me 
Question 1118425: A manufacturer produces two models of mountain bikes. Model A requires 5 hours of assembly time and 2 hours of painting time, and Model B requires 4 hours of assembly time and 3 hours of painting time. The maximum total weekly hours available in the assembly department and the painting department are 200 hours and 108 hours, respectively. The profits per unit are $25 for Model A and $15 for Model B. How many of each type should be produced to maximize profit?

___ bikes of Model A
___ bikes of Model B

What is the maximum profit? $____

Click here to see answer by ikleyn(52781) About Me 

Question 1118461: 2 root 6_root5÷root45_root24=a+broot2
Click here to see answer by josgarithmetic(39617) About Me 
Question 1118461: 2 root 6_root5÷root45_root24=a+broot2
Click here to see answer by greenestamps(13200) About Me 
Question 1118461: 2 root 6_root5÷root45_root24=a+broot2
Click here to see answer by Alan3354(69443) About Me 

Question 1118467: Find the equilibrium quantity and equilibrium price for the commodity whose supply and demand functions are given.
​Supply: p=q^+20q
    
​Demand: p=-2q^+10q+11,400
The equilibrium quantity is q=
The equilibrium price is q=

Click here to see answer by stanbon(75887) About Me 

Question 1118307: Find the amount necessary to fund the given withdrawals.
Monthly withdrawals of ​$950for 5 years; interest rate is 6.6​% compounded monthly. The amount necessary to fund the given withdrawals is?
.

Click here to see answer by addingup(3677) About Me 

Question 1118510: Find the perpendicular distance of point p (5.7)from the y axis
Click here to see answer by ikleyn(52781) About Me 

Question 1118511: (a)using the digits 2,3,4,5,6,7
(I) how many three number digit numbers can be formed if repetition is not permitted?
(ii) how many of these 3-digit numbers would be odd?
(iii)how many of these 3-digit numbers would be divisible by 5?
(c) find the term containing x^9 in the expansion of (x^3 - 2/x)^15 without actually doing the expansion

Click here to see answer by Boreal(15235) About Me 
Question 1118511: (a)using the digits 2,3,4,5,6,7
(I) how many three number digit numbers can be formed if repetition is not permitted?
(ii) how many of these 3-digit numbers would be odd?
(iii)how many of these 3-digit numbers would be divisible by 5?
(c) find the term containing x^9 in the expansion of (x^3 - 2/x)^15 without actually doing the expansion

Click here to see answer by greenestamps(13200) About Me 

Question 1118508: L1 is the straight line 2x+3y+6=0. without finding the gradient of L1, find the equation of
(a) L2 which passes through the point (1,-2) and parallel to L1
(B) L3 which is perpendicular to L1 and passes through the point (2,-1)

Click here to see answer by josgarithmetic(39617) About Me 

Question 1118564: Sophie borrowed $2000 and took 3 years to repay the loan and $900 interest.
a)What was the per annum simple interest rate?
b) If Sophie’s interest was calculated at the same rate on the balance owing, how much would she have owed after 6 months if she repaid $40 per month? Give your answer to the nearest dollar.

Click here to see answer by Theo(13342) About Me 

Question 1118616: Last question of the day. I need to check my work on the following equation:
0.03(3-7x)-0.02(1-x)=0.64
I solved the equation which is -3, but I cannot for the life of me figure out how to check this answer. I have checked my textbook, and see no examples. I know I should place -3 in place of x, but it doesn't seem to work.
I have tried 0.03(3-7(-3))-0.02(1-(-3))=0.64 and 0.03(3-7-3)-0.02(1-3)=0.64
each do not produce a TRUE answer.
Thank you for your help.

Click here to see answer by ikleyn(52781) About Me 

Question 1118630: How much interest is earned on $1200 at 8% p.a for 5 years, compounded every 3 months
Click here to see answer by Alan3354(69443) About Me 

Question 1118666: Larry borrows $12000 to be repaid at 12% p.a. at rate of interest over 4 years.
a. Calculate the interest that Larry must pay.
b. What is the total amount that Larry must repay?
c. If Larry repays the loan in equal annual instalments, calculate the amount of each repayment.
But could you just answer question c please.

Click here to see answer by Theo(13342) About Me 

Question 1118665: If Larry repays the loan in equal annual instalments, calculate the amount of each repayment.

Click here to see answer by Alan3354(69443) About Me 

Question 1118747: The next model of a sports car will cost 5.3%
less than the current model. The current model costs 41,000
. How much will the price decrease in dollars? What will be the price of the next model?

Click here to see answer by addingup(3677) About Me 

Question 1118739: Assume that a 24-month CD purchased for $7000 pays an APY of 3.25% (and of course interest is compounded). How much do you have at maturity? (Round your answer to the nearest cent.)
Click here to see answer by addingup(3677) About Me 
Question 1118739: Assume that a 24-month CD purchased for $7000 pays an APY of 3.25% (and of course interest is compounded). How much do you have at maturity? (Round your answer to the nearest cent.)
Click here to see answer by ikleyn(52781) About Me 

Question 1118757: On January 1, 2013, $10500 is invested at a monthly rate of 1.5 % compounded monthly.
Write the sequence of four terms that gives the value of this investment on January 1 of each successive year.
1/1/14:
1/1/15:
1/1/16:
1/1/17:
After how many months is the investment worth $50000?
(Remember that interest is only compounded at the end of the month.)

Click here to see answer by josgarithmetic(39617) About Me 

Question 1118809: At the conference , people shakes hand to each other once. If 220 hand shakes are made, how many people are there in the room.
Click here to see answer by ikleyn(52781) About Me 

Question 1118807: Solve using gauss elimination method
x+2y+2z=1; 2x+y+z=2; 3x+2y+2z=3; and y+z=0

Click here to see answer by Fombitz(32388) About Me 
Question 1118807: Solve using gauss elimination method
x+2y+2z=1; 2x+y+z=2; 3x+2y+2z=3; and y+z=0

Click here to see answer by greenestamps(13200) About Me 

Question 1118854: Find the equation of the line tangent to the circle x2 + y2 = 25 at point (3,4). Use the general equation of the line for your final answer.
Answer: 3x + _____y - _____ = 0

Click here to see answer by solver91311(24713) About Me 

Question 1118855: How far up a wall will a 25 foot long ladder reach if the bottom must be at least 6 feet from the bottom of the wall? What will be the slope of the ladder if the bottom is 6 feet from the wall? What angle will the ladder make with the ground?
Answer: _____ feet up the wall (round-off to 2 decimal places)
slope of the ladder = _____ (3 decimal places)
angle of the ladder with the ground = _____ degrees (round-off to 2 decimal places)

Click here to see answer by solver91311(24713) About Me 
Question 1118855: How far up a wall will a 25 foot long ladder reach if the bottom must be at least 6 feet from the bottom of the wall? What will be the slope of the ladder if the bottom is 6 feet from the wall? What angle will the ladder make with the ground?
Answer: _____ feet up the wall (round-off to 2 decimal places)
slope of the ladder = _____ (3 decimal places)
angle of the ladder with the ground = _____ degrees (round-off to 2 decimal places)

Click here to see answer by josgarithmetic(39617) About Me 

Question 1118830: Find the amount necessary to fund the given withdrawals.
Monthly withdrawals of ​$650 for 8 years; interest rate is 5.1 % compounded monthly.
The amount necessary to fund the given withdrawals is ​

Click here to see answer by Theo(13342) About Me 

Question 1118928: the profit [in thousand dallors of a company is given by p[x]=5000+1000x-5x2
Click here to see answer by josgarithmetic(39617) About Me 

Question 1118938: Find the sum of odd integeres from 1 to 100
Click here to see answer by math_helper(2461) About Me 

Question 1118940: A new car valued at $20,000 loses 10% of its value upon first leaving the acr yard and then depreciates by 5% each year. What is the value, to the nearest dollar, of the car after 3 years?
Click here to see answer by solver91311(24713) About Me 

Question 1118948: A community bird-watching society makes and sells simple bird feeders to raise money for its conservation activities. The materials for each feeder cost $5, and the society sells an average of 30 feeders per week at a price of $9 each. The society has been considering raising the price, so it conducts a survey and finds that for every dollar increase, it loses 3 sales per week.
(a) Find a function P that models weekly profit in terms of price per feeder. (Let x be the price per feeder.)
(b) What price should the society charge for each feeder to maximize profits?
(c) What is the maximum weekly profit?

Click here to see answer by ikleyn(52781) About Me 

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