Tutors Answer Your Questions about Human-and-algebraic-language (FREE)
Question 1196311: There are 47000 first year qualifying applicants in one university. The number of BSc degree is 14700 and the number of BCOM degree applicants is 32300. The university intends to accept only 25500 students. The number of BSc degree students that should be accepted is calculated as:
a. 22300/37000×1800
b.14700/47000×25500
c.32300/22500×47000
d.22500/47000×32300
Click here to see answer by ikleyn(52780)   |
Question 1196316: 1.Peter makes equal monthly deposits at the end of each month for the next four years to gather an amount of R330 284.00. He start after one month with savings accumulating interest at 12.5% per annum, compounded monthly. The monthly deposit amount is?
2.Jonathan obtained his degree and started his own consulting company in January of 2010. At the end of each month he began saving R2 480.00 in his account and requested the bank to quarterly debit three month sum of his exact savings towards his individual retirement account for a total period of ten years. The retirement account earned interest at 11% per annum, compounded quarterly. The amount that was available to him after ten years in the retirement account is?
Click here to see answer by ikleyn(52780) |
Question 1196401: Jonathan obtained his degree and started his own consulting company in January of 2010. At the end of each month he began saving R2 480.00 in his account and requested the bank to quarterly debit three month sum of his exact savings towards his individual retirement account for a total period of ten years. The retirement account earned interest at 11% per annum, compounded quarterly. The amount that was available to him after ten years in the retirement account is?
Click here to see answer by Theo(13342)  |
Question 1196325: Peter makes equal monthly deposits at the end of each month for the next four years to gather an amount of R330 284.00. He start after one month with savings accumulating interest at 12.5% per annum, compounded monthly. The monthly deposit amount is?
Click here to see answer by Theo(13342) |
Question 1196742: Which verbal phrases correctly describes: 3w - 6
6 less than three times a number
the difference of six and three, times a number
3 times the quantity of a number minus 6
the difference of three times a number and 6
Click here to see answer by Theo(13342) |
Question 1199486: The total variable cost of manufacturing x dishwashers is $150 per dishwasher times the number of dishwashers manufactured.
Let me see.
Let v = total variable cost
Let x = dishwashers
V = 150 • x • x
V = 150x^2
Is this correct? If not, please explain my error.
Click here to see answer by ikleyn(52780) |
Question 1199654: An investor invested a total of $800 in two mutual funds. One fund earned a 7% profit while the other earned a 2% profit. If the investor's total profit was $26, how much was invested in each mutual fund?
Click here to see answer by ikleyn(52780) |
Question 1199653: An investor invested a total of $1,200 in two mutual funds. One fund earned a 8% profit while the other earned a 6% profit. If the investor's total profit was $90, how much was invested in each mutual fund?
Click here to see answer by ikleyn(52780) |
Question 1201734: The average speed of a car over a certain distance is calculated by dividing the
total distance travelled by the total time taken. Two towns A and B are 10 km
apart, A motorist travels from A to B at an average speed of 20 km per hour,
and travels from B to A at an average 40 km per hour.
2.3.1 Determine the average speed to the motorist for the two trips
combined. (i.e. from A to B and the back to A) (6)
2.3.2 Determine the speed would the motorist have to average on the return trip from
B to A to yield an overall speed of 30km per hour? Assume the motorist
has averaged 20km per hour from A to B) (4)
2.4 AutoZone sells a regular car battery for R 700 and heavy-duty model for
R1 100. If it sold 40 batteries yesterday for a total of R34 000.
Indicate how many of each of the type of and indicate the rand the rand value sales of
each type.
Click here to see answer by mananth(16946)  |
Question 1203200: I have another question about proportion.
THE TEXTBOOK GIVES THE FOLLOWING QUESTION under the heading ‘variation as the sum of two parts’; I cannot change the wording.
‘For a certain series of experiments it is known that a quantity F is directly proportional to H and the square root of P and inversely proportional to the square of D.
If D = 8, H=40 and P=1000 when F=12, calculate the value of P when
F = 8, d = 10 and H=30’.
The problem I seem to be having here is how to set up the equation. The book is very vague about the difference between joint variation (which I have no problem with) and variation as the sum of two parts, but I am assuming, following the example in the book, that sum means add.
The notation that I am using here is the notation in the book. If anyone finds it bizarre, there is nothing I can do about that.
I assume then that the equation could be stated thus: obviously I am using “Word” so I have included notes so that people are not in any doubt about the meanings.
F∝H - F is directly proportional to H;
F∝√P - F is directly proportional to the square root of P;
F∝1/D2 - F is indirectly proportional to the square of D.
I re - wrote this thus:
F = kH;
F = k√P;
F = k(1/D2)
WHERE K STANDS FOR THE CONSTANT OF PROPORTIONALITY.
I then combined the terms thus:
F=k(H*√P)+(1/D2)
I have added 1/D2 because the title of this section of the book that I am using is the sum of two parts, so I am assuming that 1/D2 is the second part and, thus, should be added.
I cannot get the correct answer to the question even if I multiply all of the terms and I cannot see where I am going wrong. I have tried to find information about “Variation as the sum of two parts” on the internet, and “Bing”, Google” and “You Tube” cannot understand the difference between the words variation and variance, which does not surprise me in the least, so no help there. The solution is probably very simple, but I just cannot see it
Click here to see answer by josgarithmetic(39617) |
Question 1203200: I have another question about proportion.
THE TEXTBOOK GIVES THE FOLLOWING QUESTION under the heading ‘variation as the sum of two parts’; I cannot change the wording.
‘For a certain series of experiments it is known that a quantity F is directly proportional to H and the square root of P and inversely proportional to the square of D.
If D = 8, H=40 and P=1000 when F=12, calculate the value of P when
F = 8, d = 10 and H=30’.
The problem I seem to be having here is how to set up the equation. The book is very vague about the difference between joint variation (which I have no problem with) and variation as the sum of two parts, but I am assuming, following the example in the book, that sum means add.
The notation that I am using here is the notation in the book. If anyone finds it bizarre, there is nothing I can do about that.
I assume then that the equation could be stated thus: obviously I am using “Word” so I have included notes so that people are not in any doubt about the meanings.
F∝H - F is directly proportional to H;
F∝√P - F is directly proportional to the square root of P;
F∝1/D2 - F is indirectly proportional to the square of D.
I re - wrote this thus:
F = kH;
F = k√P;
F = k(1/D2)
WHERE K STANDS FOR THE CONSTANT OF PROPORTIONALITY.
I then combined the terms thus:
F=k(H*√P)+(1/D2)
I have added 1/D2 because the title of this section of the book that I am using is the sum of two parts, so I am assuming that 1/D2 is the second part and, thus, should be added.
I cannot get the correct answer to the question even if I multiply all of the terms and I cannot see where I am going wrong. I have tried to find information about “Variation as the sum of two parts” on the internet, and “Bing”, Google” and “You Tube” cannot understand the difference between the words variation and variance, which does not surprise me in the least, so no help there. The solution is probably very simple, but I just cannot see it
Click here to see answer by ikleyn(52780) |
Question 1203200: I have another question about proportion.
THE TEXTBOOK GIVES THE FOLLOWING QUESTION under the heading ‘variation as the sum of two parts’; I cannot change the wording.
‘For a certain series of experiments it is known that a quantity F is directly proportional to H and the square root of P and inversely proportional to the square of D.
If D = 8, H=40 and P=1000 when F=12, calculate the value of P when
F = 8, d = 10 and H=30’.
The problem I seem to be having here is how to set up the equation. The book is very vague about the difference between joint variation (which I have no problem with) and variation as the sum of two parts, but I am assuming, following the example in the book, that sum means add.
The notation that I am using here is the notation in the book. If anyone finds it bizarre, there is nothing I can do about that.
I assume then that the equation could be stated thus: obviously I am using “Word” so I have included notes so that people are not in any doubt about the meanings.
F∝H - F is directly proportional to H;
F∝√P - F is directly proportional to the square root of P;
F∝1/D2 - F is indirectly proportional to the square of D.
I re - wrote this thus:
F = kH;
F = k√P;
F = k(1/D2)
WHERE K STANDS FOR THE CONSTANT OF PROPORTIONALITY.
I then combined the terms thus:
F=k(H*√P)+(1/D2)
I have added 1/D2 because the title of this section of the book that I am using is the sum of two parts, so I am assuming that 1/D2 is the second part and, thus, should be added.
I cannot get the correct answer to the question even if I multiply all of the terms and I cannot see where I am going wrong. I have tried to find information about “Variation as the sum of two parts” on the internet, and “Bing”, Google” and “You Tube” cannot understand the difference between the words variation and variance, which does not surprise me in the least, so no help there. The solution is probably very simple, but I just cannot see it
Click here to see answer by greenestamps(13200)  |
Question 1203235: A math test has a bonus question. The directions simply state that if you answer the question correctly you will receive 5 bonus points and your test grade will be increased by 8% of your score. Let x equal the test score before answering the bonus question.
a. Write a function,
b. Write a function,
f (x), to represent just the 5 bonus points
g (x), to represent just the percent of increase
c. Explain the meaning of f(g(x)
d. Find f(g(75))
e. Explain the meaning of g(f(x))
Click here to see answer by math_tutor2020(3816) |
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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
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