Questions on Word Problems: Money, Business and Interest answered by real tutors!

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Question 424437: A flock of sheep which increases in size by 15% every year. If there are currently 48 sheep, how many sheep are expected to be in the flock in 5 years? Round to the nearest whole sheep.
Click here to see answer by ankor@dixie-net.com(22740)

Question 424851: a retired couple has 170,000 to invest to obtain annual income. they want some of it investing in safe certificstes of deposit yielding 5 percent. the rest they want to invest in AA bonds yielding 11% per year. how much should they invest in each to exactly 15,700 per year?
Click here to see answer by josmiceli(19441)

Question 424866: Jane has $16,000 invested in HP and Intel stock. The HP stock
currently sells for $30 a share and the Intel stock for $70 a share. If Intel
stock triples in value and HP stock goes up 50%, her stock will be worth
$34,500. How many shares of each stock does she own? (show step by step)
Click here to see answer by josmiceli(19441)

Question 425062: assume you invest 2000$ at 3.5% compounded continuously, construct an equation that describes the value of your invesment at year t
Click here to see answer by Gogonati(855)

Question 425369: What is the simple interest earned on $700 invested at 5% annual interest for 2 years?
Click here to see answer by rfer(16322)

Question 425450: Suppose $500 is invested monthly at 4% compounded monthly, for
10 years, then $600 is invested monthly at 6% compounded monthly, for
10 years.
2 separate question.... What is the value after 10 years
Click here to see answer by Gogonati(855)

Question 425649: how do I find the rate if the interest is $427.50, the Principle is $1,500 and the time is 2 years?
Click here to see answer by stanbon(75887)

Question 425780: I need to find a profit function out of this word problem:
Hercules Films is also deciding on the price of the video release of it's film Bride of the son of Frankenstein. Again, marketing estimates that at a price of p dollars it can sell q=324000-18000p copies, but each copy cost $4 to make. What price will give the greatest profit?

Click here to see answer by stanbon(75887)

Question 425806: if I invest $60,000 a year at 10% compound interest per year, how much will I have at the end of 10 years
Click here to see answer by linh117(31)

Question 426464: A man can build a brick wall in 8 hours. IF he works for an hour and then asks his apprentice to help him, they finish the job in three more hours. In how many hours can the apprentice do the who job?
Click here to see answer by robertb(5830)

Question 426469: Deshi invested $32,000. He invested part of it at 8% interest per year and the rest at 6% interest per year. If his total interest income for the year was $2120, ow much was invested at 6%?
Click here to see answer by mananth(16946)

Question 426466: Riva takes 5 hours to do a job. If Megan takes 8 hours and Sarah takes 10 hours to do the same job, then how many hours will it take all of them to do the job if they work together?
Click here to see answer by J2R2R(94)

Question 426651: A group plans to start a new business that will require $240,000 for start-up capital. The individuals in the group share the cost eually. If two addiditonal people join the group, the cost per person will decrease by $4000. How many people are presently in the group?
I let:
Capital: C = 240,000
People: P
Cost per person: I = 4000 - 2P
Click here to see answer by ewatrrr(24785)

Question 426856: Juan goes to a bank and gets change for a
$50 bill consisting of all $5 bills and $1 bills. There are
22 bills in all. How many of each kind are there?
Click here to see answer by josmiceli(19441)

Question 426901: A little help please!?
Snack mix is made with peanuts and M&M's and must make at least 100 pounds to be packaged and sold. The mixture must contain at least 40 pounds of peanuts and must contain at least 20 pounds of M&M's. Peanuts cost $4 per pound and M&M's cost $3 per pound. How many pounds of peanuts and how many pounds of M&M's would minimize the total cost of the snack mix?

Thank you!
Click here to see answer by stanbon(75887)

Question 426853: A person invested $10,000. The greater part is invested at 6% and the remainder at 5%. The annual income from the greater part is $160 more than the annual income from the smaller part. What is the smaller part of the investement?
Click here to see answer by mananth(16946)

Question 426992: A bank teller has 54 $4 and $20 bills in her cash drawer. The value of the bills of $780. How many $5 bills are there?
I tried X+Y= 54
X-Y= 20
2X=34
X-17 $5 BILLS
THIS DOES NOT SEEM RIGHT
Click here to see answer by stanbon(75887)

Question 427001: 1. Samantha�s student loans total $18,000. Part was a personal loan at 11% interest; the other was a Stafford loan at 7%. After one year the loans accumulated $1660 in interest. What was the amount of each loan?
a) Develop an equation to represent the sum of the loans, use �x� for the personal loan, use �y� for the Stafford loan.
b) Develop an equation to represent the interest accumulated in the first year. Use �x� for the personal loan, use �y� for the Stafford loan.
c) Use the equations from part a and b of this exercise as a system of equations. Use substitution to determine the amount of each loan. Show all your work from problem statement through the final result.
d) What are the intercepts of the equation from part a of this problem? Where would the lines intersect if you solved the system by graphing?

Click here to see answer by mananth(16946)

Question 427050: Company A sold 14.7 million dollars of electronics equipment in 2000 and its sales have increased by 2.1 million dollars each year. Company B sold 19.4 million dollars of electric equipment in 2000 and its sales have increased by 1.7 million each year.
1) Let A (t) and B (t) repesent the sales (in millions of dollars) by company A and compnay B, respectively, at t years since 2000. Find equations for A and B.
2) Predict when sales at the companies will be equal. What will that sales be?
Click here to see answer by josmiceli(19441)

Question 427214: Find the derivative of the function. HINT [See Quick Examples on page 835.]
f(x) = (6x2 − x)ln x
f '(x) =

Click here to see answer by Alan3354(69443)

Question 427166: this is about simple interest.. question earning 4% simple interest at the end of 4yrs total of 15,660. how much was originally invested? I tried dividing 15660 into 4% came up with 626.40 then multipled that by 4 for the 4yrs.. ended up with 2505.60 then subtracted that from the 15660. do not know if this is correct..
Click here to see answer by mananth(16946)

Question 427207: If $20,000 is invested in a savings account offering 3.5% per year, compounded continuously, how fast is the balance growing after 4 years? (Round your answer to the nearest cent.)
$ 1 per yr
Click here to see answer by rfer(16322)

Question 427210: Find the derivative of the function. HINT [See Quick Examples on page 835.]
f(x) = 4 ln x
f '(x) =

Click here to see answer by richard1234(7193)

Question 427245: Michael bought a suit on sale for $378. This price was %28 less than the original price.
What was the original price?

Click here to see answer by Gogonati(855)

Question 427350: Cali is selling candles at a stand in the mall. She currently sells the candles for $14 each. At this price, she sells 260 candles a week. She is considering raising the price of the candles to make a greater profit. Her college statistics class determined that she will lose 10 sales for every one dollar increase in price. What would provide Cali with the most profit? What is her maximum weekly profit?
Click here to see answer by ankor@dixie-net.com(22740)

Question 427517: Bill invested a total of $8000 in two accounts, one paying 10% interest and the other paying 15% interest. If the total interest earned was $1000, how much was invested at each rate?
Click here to see answer by mananth(16946)

Question 427900: a certain sum of money is invested in a business. each year this investment earns 1.5 times as much as in the preceding year. if the investment earned a total of $19,500 in 4 years, how much did it earn in the fourth year?
Click here to see answer by jorel1380(3719)

Question 427966: Suppose that 5,700 is invested at 5% annual intrest rate, compounded monthly how much money will be in the account in 4 months? and in 3 years [round to the nearest cent]

how many years will it take 7,000 to grow to 11,500 if it is invested at 9% compounded quarterly? and compounded daily?
Click here to see answer by rfer(16322)

Question 428064: When Sara Whitehorse changed jobs, she rolled over the $7700.00 in her retirement account into two simple interest accounts. On one account, the annual simple interest rate is 8%, and on the second account, the annual simple interest is 6%. How much must be invested in each account if the two accounts earned the same amount of annual interest?

Click here to see answer by mananth(16946)

Question 427889: You have $100 and you want to spend all of it to buy exactly 100 pets- any combination of hamsters, birds, and fish. Hamsters cost $5 each, brids are $10, and fihes are 50cent each. How many of each kind of pet should you buy?
Click here to see answer by ankor@dixie-net.com(22740)

Question 428429: Carl invested $10,000, part in a CD paying 8.5% annual interest, the rest in a mutual fund paying 7% annual interest. The annual income from the CD is $200 more than the annual income from the mutual fund. How much money was put into each type of investment?
Click here to see answer by mananth(16946)

Question 428591: Tammys weekly salary is 120% more than wandas weekly salary. Both salaries combined equals $165. What is wandas weekly salary..
Click here to see answer by stanbon(75887)

Question 428618: I would like to know what is the selling price of an item, if a store uses a selling price-based markup of 40%, and an item costs the store $300.
Click here to see answer by ankor@dixie-net.com(22740)

Question 428926: Theater ticket prices (in dollars) x years after 1997 are described by the polynomial -0.0025x^2 + 0.44x + 4.28. Find the value of this polynomial for x = 6 and state the result as the ticket price for a specific year.
I don't know if I did this right or answered this question right but this is what I got. 1977 + 6 = 2003 and -0.0025(6)^2 + 0.44(6) + 4.28. The ticket price in 2003 would be $6.83. Is this correct, or did I do this wrong? Thank you for your help!!!
Click here to see answer by Gersid(33)

Question 428943: Find the area of a rectangular garden assuming that the width is 12 feet and the diagonal measures 20 feet.
I think this is a^2 + b^2 = c^2, so I git (12)^2 + (L)^2 = (20)^2 = 144 + L^2 = 400 = L^2 = 256 L=16 the square root of 256. So I get 12*16 or 192 square feet. Did I do this right???, please advise, thank you!!!
Click here to see answer by ankor@dixie-net.com(22740)

Question 429064: suppose that $15000 is invested in 2010 in an educational savings account. The investment is at
an interest rate k compounded continuously. After 18 years the investment has grown to $55000.
What is the interest rate k ?
*Could you please help me solve this, I would also like to know you got to the solution for future math problems like this.
Click here to see answer by Gogonati(855)

Question 429152: an investment of $1500 paid interest of $45 during a certain period. How much interest would an investment of $2000 invested at the same rate for the same length of time pay?

I tried $1500 x n=$45.....thinking i could divide both sides by 45 to get the percent of interest but that didn't work. Could you please explain how to find the interest rate I think I can figure it out if i have that
Click here to see answer by ewatrrr(24785)

Question 429211: If Leah is 6 years older than Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue?
Click here to see answer by jorel1380(3719)

Question 429366: The interest on $50,000 for 100 days at 14% is how much if you use a 360 day a year calendar?
Click here to see answer by rfer(16322)

Question 429470: present value of $6000 if interest is 8.5% compounded quarterly for 7 years?
Click here to see answer by robertb(5830)

Question 429573: Suppose $500 is invested at 6% annual interest comounded twice a year. When will the investment be worth $1000? And how do you find this answer?
Click here to see answer by stanbon(75887)

Question 429743: If 5000 dollars is invested in a bank account at an interest rate of 4 per cent per year, compounded continuously. How many years will it take for your balance to reach 30000 dollars?
Click here to see answer by stanbon(75887)

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