Tutors Answer Your Questions about Finance (FREE)
Question 1182882: The sum of the first ten terms of an arithmetic progression consisting of positive integer terms is equal to the sum of the 20th, 21st and 22nd term. If the first term is less than 20, find how many terms are required to give a sum of 960.
Click here to see answer by greenestamps(13200)   |
Question 1182881: Three friends are packing sweets into gift boxes. They agree that each box should contain the same number of sweets, but they are each working in separate locations with their own pile of sweets so cannot share boxes.
Gwen has 286 sweets, Bill has 390 sweets and Zeta has 468 sweets. If they put the largest number of sweets into each box that they can and they use up all their sweets, how many boxes of sweets will they pack?
Click here to see answer by greenestamps(13200) |
Question 1182758: The sport of bingbong involves two players. Each match consists of a number of rounds and each round consists of a number of points. The first player to win four points in a round wins the round. The first player to win six rounds in a match wins the match.
Suppose that after a match of bingbong, the winner has won W points while the loser has won L points. What is the largest possible value of L-W?
Click here to see answer by robertb(5830)  |
Question 1182911: A teacher's income from his investment in balloon bank and monthly wages is $100000. he doubles his investment and also gets an increase of 50% in wages and his income increases to $160000. what was his original income separately in terms of dividends and wages
Click here to see answer by mananth(16946)  |
Question 1182911: A teacher's income from his investment in balloon bank and monthly wages is $100000. he doubles his investment and also gets an increase of 50% in wages and his income increases to $160000. what was his original income separately in terms of dividends and wages
Click here to see answer by ikleyn(52781)  |
Question 1182911: A teacher's income from his investment in balloon bank and monthly wages is $100000. he doubles his investment and also gets an increase of 50% in wages and his income increases to $160000. what was his original income separately in terms of dividends and wages
Click here to see answer by MathTherapy(10552)  |
Question 1182930: A narrow arch supporting a stone bridge is in the shape of half an ellipse and is 36 m long and 14 m high. A person standing at one focus plays with a ball by throwing it against the arch. The ball always bounces off the arch once and strikes the same point on the ground (the other focus).
a. How far apart are the person throwing a ball and a point on the ground at which the ball strikes?
b. What is the height of the arch exactly below the position of the person?
Click here to see answer by ikleyn(52781) |
Question 1182937: A Ferris Wheel having a diameter of 100 feet and a maximum height of 110 feet rotates counter clockwise through an angle of 1.5 revolutions per minute. Note that 1 revolution is equivalent to 360Β°
a. If your starting location is 50 feet East of the Ferris Wheelβs center and 60 feet above the ground, what will be your approximate location above the ground after 8 seconds?
b. At a given time, you are 40 feet above the ground. What is the least amount of time it takes for you to be on the same exact location?
c. Which approximate angle measure, in degree, is being formed by the horizontal midline of the Ferris Wheel and your current position if you are 100 feet above the ground and 30 feet west of the vertical midline of the Ferris Wheel?
Click here to see answer by Theo(13342)  |
Question 1182937: A Ferris Wheel having a diameter of 100 feet and a maximum height of 110 feet rotates counter clockwise through an angle of 1.5 revolutions per minute. Note that 1 revolution is equivalent to 360Β°
a. If your starting location is 50 feet East of the Ferris Wheelβs center and 60 feet above the ground, what will be your approximate location above the ground after 8 seconds?
b. At a given time, you are 40 feet above the ground. What is the least amount of time it takes for you to be on the same exact location?
c. Which approximate angle measure, in degree, is being formed by the horizontal midline of the Ferris Wheel and your current position if you are 100 feet above the ground and 30 feet west of the vertical midline of the Ferris Wheel?
Click here to see answer by ikleyn(52781) |
Question 1183025: Students are trying to factor quadratic expressions using the guess-and-check method. Find the mistake in each student's work. Then give the correct answer.
a) π₯(small 2)βπ₯β72=(π₯β8)(π₯+9)
b) 3π₯(small 2)β19π₯+28=(3π₯β4)(π₯β7)
c) 6π₯(small 2)+25π₯+4=(2π₯+1)(3π₯+4)
Click here to see answer by MathLover1(20849)  |
Question 1183025: Students are trying to factor quadratic expressions using the guess-and-check method. Find the mistake in each student's work. Then give the correct answer.
a) π₯(small 2)βπ₯β72=(π₯β8)(π₯+9)
b) 3π₯(small 2)β19π₯+28=(3π₯β4)(π₯β7)
c) 6π₯(small 2)+25π₯+4=(2π₯+1)(3π₯+4)
Click here to see answer by greenestamps(13200) |
Question 1183025: Students are trying to factor quadratic expressions using the guess-and-check method. Find the mistake in each student's work. Then give the correct answer.
a) π₯(small 2)βπ₯β72=(π₯β8)(π₯+9)
b) 3π₯(small 2)β19π₯+28=(3π₯β4)(π₯β7)
c) 6π₯(small 2)+25π₯+4=(2π₯+1)(3π₯+4)
Click here to see answer by ikleyn(52781) |
Question 1183096: Having trouble using the example already posted on this site to solve this equation, please help.
A population grows according to an exponential growth model, with P0=40 and P1=48
Complete the recursive formula:
Pn = ΓPnβ1
Write an explicit formula for Pn
Pn =
Click here to see answer by math_tutor2020(3817) |
Question 1183084: terry has invented a new way to extend lists of numbers.
To Terryfy a list such as (1,8) he creates two lists (2,9) and (3,10), where each term is one more than the corresponding term in the previous list, and then joins the three lists together to give (1,8,2,9,3,10).
If he starts with a list containing one number (0) and repeatedly Terryfies it he creates the list (0,1,2,1,2,3,2,3,4,1,2,3,2,3,4,3,4,5,2,3,4,...).
What is the 2012th number in this Terryfic list?
Click here to see answer by ikleyn(52781) |
Question 1183107: Starting in the year 2012, the number of speeding tickets issued each year in Middletown is predicted to grow according to an exponential growth model. During the year 2012, Middletown issued 150 speeding tickets (P0=150). Every year thereafter, the number of speeding tickets issued is predicted to grow by 5%.
If Pn denotes the predicted number of speeding tickets during the year 2012+n, then
Write the recursive formula for Pn
Pn = ΓPnβ1
Write the explicit formula for Pn
Pn =
If this trend continues, how many speeding tickets are predicted to be issued in 2028?
Click here to see answer by Theo(13342) |
Question 1183106: Employees in 2012 paid 4.2% of their gross wages towards social security (FICA tax), while employers paid another 6.2%. How much will someone earning $19,000 a year pay themselves towards social security out of their gross wages?
Click here to see answer by Theo(13342) |
Question 1183115: A court reporter types according to a linear model. The reporter can type 888 words in 8 minutes.
Find an explicit formula for this linear model after n minutes if there are no words typed initially.
Pn =
After how many minutes will the reporter reach 2442 words?
Click here to see answer by ikleyn(52781) |
Question 1183117: Find the future value for the following scenario, where m is the periodic deposit and r is the interest rate.
Future Value: 225,000 r: 2.5% Compounded frequently: Quarterly, Time in years: 10, Periodic deposit (m): ? , Interest earned: ?
Click here to see answer by Theo(13342) |
Question 1183119: You would like to have $750000 when you retire in 40 years. How much should you invest each quarter if you can earn a rate of 4.5% compounded quarterly?
A. How much should you deposit each quarter?
B. How much total money will you put into the account?
C. How much total interest will you earn?
Click here to see answer by Boreal(15235)  |
Question 1183133: A population of beetles are growing according to a linear growth model. The initial population (week 0) is P0=9, and the population after 7 weeks is P7=58.
Find an explicit formula for the beetle population after n weeks.
Pn =
After how many weeks will the beetle population reach 149?
Click here to see answer by josgarithmetic(39617) |
Question 1183166: How much should you invest each month in order to have $300,000 if your rate of return is 3% compounded monthly and you want to achieve your goal in 20 years? How much will your savings be worth after 10 years?
Click here to see answer by Theo(13342) |
Question 1183164: You deposit $100 each quarter into an account earning 7.7% Interest compounded quarterly. A. How much will you have in the account in 15 years? B. How much total money will you put into the account? C. How much total interest will you earn?
Click here to see answer by ikleyn(52781) |
Question 1183163: Suppose you have $8000 deposited in an account with interest compounded semiannually. After 8 years, the account has grown to $9300. What is the interest rate on this account? (Round your answer to the nearest hundredth of a percent)
Click here to see answer by ikleyn(52781) |
Question 1183162: Suppose you have $5300 deposited in an account with interest compounded weekly. After 5 years, the account has grown to $7100. What is the interest rate on this account? (Round your answer to the nearest hundredth of a percent)
Click here to see answer by ikleyn(52781) |
Question 1183116: A newscaster earns $32,200 and wants to invest 10% of his/her monthly salary to save for retirement in 24 years. If he/she invests this money at 5.9% compounded monthly, how much money will he/she have at retirement? A. How much will be saved each year? B. What will be the monthly deposit? C. What will be the amount in the account after 24 years?
Click here to see answer by ikleyn(52781) |
Question 1183194: Following information relates to Process A account
10000 Units introduced at Rs 20000
Material consumed Rs 5000
Manufacturing expenses Rs 2000
Direct Labour charges Rs 6000
Units transferred to next process B- 9500
It is bound that wastage in this process is 3%
There is no realizable value of scrap
Prepare the process account reflecting the value at which output will be transferred to the next process
Click here to see answer by ikleyn(52781) |
Question 1183193: Following information relates to Process A account
10000 Units introduced at Rs 20000
Material consumed Rs 5000
Manufacturing expenses Rs 2000
Direct Labour charges Rs 6000
Units transferred to next process B- 9500
It is bound that wastage in this process is 3%
There is no realizable value of scrap
Prepare the process account reflecting the value at which output will be transferred to the next process
Click here to see answer by ikleyn(52781) |
Question 1183201: Triveni: Enterprises plans to sell 30,000 units next year. The expected cost of
goods sold is as follows:
Per unit(`) Raw materials 200
Manufacturing expenses 60 Including selling and distribution expenses 40 Selling price 400
The duration of various stages of the operating cycle is expected to be as follows:
2
6787
Raw materials stage WIP stage
Finished goods stage Debtors stage
2 months 1month 1β2 month 1 month
Assuming the monthly sales level to be 2,500 units
1. Calculatetheinvestmentinvariouscurrentassets
2. Estimatetheworkingcapitalrequirementifthedesiredcashbalanceis
5% of the working capital requirements.
Click here to see answer by ikleyn(52781) |
Question 1183220: . Hayden is playing with a toy airplane. The height of the airplane, in metres, is given by the relation
οΏ½ = βοΏ½οΏ½οΏ½ + οΏ½οΏ½οΏ½ + οΏ½, where οΏ½ is the number of seconds since the plane was launched. At time οΏ½, the
horizontal distance travelled by the airplane is given by οΏ½ = οΏ½. οΏ½οΏ½.
a) For how long will the airplane be in the air, rounded to the nearest tenth of a second? Β
b) How far will the airplane travel horizontally by the time it hits the ground, rounded to the
nearest tenth of a
metre? Β
c) At what time(s), rounded to the nearest tenth of a second, will the airplane reach a height of
οΏ½οΏ½ οΏ½? Β
d) What is the maximum height or the plane? Β
Click here to see answer by greenestamps(13200) |
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