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

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Word Problems: Money, Business and Interest

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Question 108699: Can someone show me how to do this one?
Business and Finance. The demand equation for a certain type of printer is given by
D= -200p + 35,000
The supply equation is predicted to be
S= -p^2 + 400p - 20,000
Find the eqilibrium price.
Thank you!
Click here to see answer by scott8148(3382)

Question 109339This question is from textbook algebra 1

: Currently, you have $60 and your sister has $135. You decide to save $5 of your allowance each week, while your sister decides to spend her whole allowance plus $10 each week. How long will it be before you have as much money as your sister?
a. Write equation for the model
b. Solve the equation
My verbal model
Week 0 1 2 3 4 5
Your $ 60 65 70 75 80 85
Sisters $ 135 125 115 105 95 85
I need help with writing the equation and solving it please!!
Thanks!!!!This question is from textbook algebra 1

Click here to see answer by checkley71(8405)

Question 109348: A department store purchases a suit for $75. To make a profit, the price of the suit is increased by 131%. Find the price of the suit.
Thank you.
Click here to see answer by checkley71(8405)

Question 109345: Bobby has $167 in his savings account. He withdraws $115, deposits $53, and then withdraws $95. Which shows the ending balance of his account?
Thank you
Click here to see answer by checkley71(8405)

Question 109358: On your new job, you can be paid in one of 2 ways:
Plan A: A salary of $800 a month, plus a commission of 5% of sales.
Plan B: A salary of $1000 per month, plus commision of 8% of sales in excess of $10,000.
For what amount of sales is Plan A better than Plan B?
Make tables and write equations to show work.
Click here to see answer by stanbon(26249)

Question 109529: 72(n+6)-80(n)=200

Find N and what is 72n times n?
Click here to see answer by Earlsdon(4898)

Question 109875: The problem states.. The value V in dollars, of a shopkeepers inventory software program is given by V= -20t + 250 where t is the # of years since the shopkeeper first bought the program. After how many years is the value of the software $150?
Click here to see answer by MathLover1(1183)

Question 109975: On monday morning I had a certain amount of money. By the evening I spent half of want I had pls $3 more: on tuesday I spent half of what I had left plus $3 more: On Wenesday I spent half of what i had plus $3 more and I ended up with only $2. How much cash did I had on Monday morning?
Click here to see answer by BrittanyM(80)

Question 109974: Mike drew a painting on a rectangular paper size 59 by 43 centimeter. Later he places the painting in a rectangular frame of which a uniform space is left around the painting. If the perimeter of the base of the frame is 256 centimeters. what is the width of the space that surrounds the painting?
Click here to see answer by ankor@dixie-net.com(6684)

Question 110168: Please help.
When an employee produces x units per hour, the hourly wage in dollars is given
by y = 0.75x + 8. What are the hourly wages for the followig number of units
2, 3, 10, 15 and 20.
Thanks
JMS
Click here to see answer by checkley71(8405)

Question 109981: The entrace cover charge for a theme park is $ 1.25 for children and $2.75 for adults. On a particular day the park received 2256 quest paying a total of $ 4089 in cover charge. How kids and adults visited the park?
Click here to see answer by ankor@dixie-net.com(6684)

Question 110239: Please Help.
In planning for a new item, a manufactuer assumes that the number of items
produced x and the cost in dollars C of producing these items are related by a linear equation.
Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce.
Find the equation that relates C and x.
Thanks
JMS
no. 52
Click here to see answer by josmiceli(3003)

Question 110272: Allen bought 20 stamps at the post office in 37 cents and 20 cents denominations. If the total cost of the stamps was $7.06, how many 37 cent stamps did Allen buy?

Click here to see answer by scott8148(3382)

Question 110640: Gasoline is about $2 per gallon. You use about 1 1/2 gallons each day driving to and from work. How much should you budget for gasoline over the next month (about 20 workdays)?
Click here to see answer by josmiceli(3003)

Question 110884: Coin problem: a bank teller had 135 quarters, dimes and nickels in his till totaling $23.50. There were 3 times as many quarters as nickels. How many of each coin were there? I tried N=3Q. N+D+Q = 135. 3Q+D+Q=135. 4Q+D=135. D=135-4Q. 5N+10D+25Q=2350. 5(3Q)+10(135-4Q)+25Q=2350. Once I simplify the expression I keep getting 0Q=1000. Please Help. Thanks
Click here to see answer by ptaylor(1578)

Question 111380: Part of $20,000 is invested at 5% and the rest at 3%. How much is invested at each rate if the total income is 4.5% of the total investment?
Click here to see answer by jim_thompson5910(13785)

Question 111374: This is a linear programming question. I have played around with the numbers to try and make a formula but I am stumped. The question is...
Ms. Smith plans to invest up to $40,000 in corporate and municipal bonds. She doesn't want to invest less than $6000 or more than $22,000 in corporate bonds. She also does not want to invest more that $30,000 in municipal bonds. Corporate bonds earn 8% simple interest and municipal bonds earn 7 and a half % simple interest. How much should she invest to maximize income (interest)? What is the maximum income?
Click here to see answer by edjones(3291)

Question 111523: Someone Help Me Please? :)
Vito invested $500, part at 9% per annum, and the rest at 11% per annum. After one year, the interest earned on the 9% investment was $20 less than the interest on the 11% investment. How much did he invest at each rate?
Click here to see answer by stanbon(26249)

Question 111736This question is from textbook Tenth Edition Beginning Algebra
: Charles Miller invested his textbook royalty income in two accounts, one paying 3% annual simple interest and the other paying 2% interest. He earned a total of $11 interest. If he invested three times as much in the 3% account as he did in the 2% account, how much did he invest at each rate?This question is from textbook Tenth Edition Beginning Algebra

Click here to see answer by checkley71(8405)

Question 111672: Charles Miller invested his textbook royalty income in two accounts, one paying 3% annual simple interest and the other paying 2% interest. He earned a total of $11 interest. If he invested three times as much in the 3% account as he did in the 2% account, how much did he invest at each rate?
Click here to see answer by ptaylor(1578)

Question 111899: I am not sure how to set up and solve the formula for compound interest. I have the formula but not sure what goes where and the steps to solve this question.
Lee opened a retirement account with an initial investment of $10,000 at an annual interest rate of 8.5%. If the interest is compounded daily, how much will be in the account at the end of 25 years?
A=10,000 ?
P=?
r=8.5% ?
x=?
n=25 years ?
Click here to see answer by solver91311(5069)

Question 112312: Walt made an extra $9000 last year from a part-time job. He invested part of the money at a 9% annual rate of interest, and the rest at an 8% annual rate of interest. At the end of the year, he made a total of $770 in interest. How much was invested at 8%?
Click here to see answer by checkley71(8405)

Question 112588This question is from textbook Algebra 2
: A store sells packs of AA batteries for $1.89 and packs of AAA batteries for $1.53, tax included. Jeff bought 8 packs and spent a total of $14.04. How many packs of each kind of battery did he buy?This question is from textbook Algebra 2

Click here to see answer by checkley71(8405)

Question 112469: An investment of $5000 is made at an annual simple interest rate of 5.3%. How much additional money must be invested at an annual simple interest rate of 8.5% so that the total interest earned is 6.5% of the total investment?
Click here to see answer by ankor@dixie-net.com(6684)

Question 113012: Roberto invested some money at 7%, and then invested $2000 more than twice this amount at 11%. His total annual income from the two investments was $3990. How much was invested at 11%?
Click here to see answer by SHUgrad05(58)

Question 112918: Students are traveling in two cars to a football game 135 miles away. The first car travels at an average speed of 45 miles per hour. The second car starts one-half hour after the first and travels at an average speed of 55 miles per hour. How long will it take the second car to catch up to the first car? Will the second car catch up to the first car before the first car arrives at the game?
Click here to see answer by ankor@dixie-net.com(6684)

Question 113270: Helen Weller invested $15,000 in an account that pays 12% simple interest. How much additional money must be invested in an account that pays 15% simple interest so that the total interest is equal to the interest on the two investments at the rate of 13%?
Click here to see answer by Earlsdon(4898)

Question 113354: A bus is capable of holding 30 passengers is to be rented for a trip at the rate of $45 per person if 15 or fewer persons go. If more than 15 persons go, each passenger's fare is reduced by $1.00 for each person over the basic 15. How many passengers does the bus contain if the total fare is $800?
Click here to see answer by josmiceli(3003)

Question 113396: 5 horses eat 2 bags of oats per week (5 horses = 2 bags of oats/week)
1 bag of oats cost $6.00 (1 bag of oats = $6.00)
25 head of cattle eat 11 bags of pellets per week.
1 bag of pellets cost $5.85
If a ranch has 7 horses and 33 head of cattle, calculate the cost of feed for one year. (52 weeks/year)?
Click here to see answer by edjones(3291)

Question 113480: Please help.
A coffee merchant has coffee beans that sell for $9 per pound and $12 per pound.
The two types are to be mixed to create 100 lb of a mixture that will sell for $11.25 per pound.
How much of each type of bean should be used in the mixture?
Please show the equations used for the solution.
Thanks
JMS

Click here to see answer by checkley71(8405)

Question 113532: Please help.
There are two parts to the problem
Part 1
The inventor of a new product believes that the cost of producing the product is given by the function
C(x) = 1.75x + 7000

How much does it cost to produce 2000 units of her invention?
Part 2
If the inventor charges $4 per unit, then her profit for producing and selling x units is given by the function P(x) = 2.25x - 7000
(a) What is her profit if she sells 2000 units?
(b) What is her profit if she sells 5000 units?
(c) What is the break-even point for sales?
I worked out the problem and came up with the following answers but need to verify if I am correct.
(a) $-2500
(b) $4250
(c) 3111 units
Thank you
JMS
Click here to see answer by josmiceli(3003)

Question 113552: The high school is selling short sleeved shirts for $12 a piece and long-sleeved shirts for $18 a piece. They sold 38 shirts for a total of $522. How many short-sleeved shirts did they sell?
Click here to see answer by josmiceli(3003)

Question 113580: Hi -- This may sound strange, but I thought you could help. I have contacted Texas Instruments but not gotten a response. I know the calculation to find compound interest and compounded continuous interest, but I have trouble translating that to my calculator. I have a calculator guide but perhaps I'm not entering the information correctly. For example, let's say I have $22,400 and plan to invest it for 25 years at compounded quarterly interest of 6%. I know the answer, by the way, and I know the formula: A=P(1+.06/4) to the 100th power. (Am I doing the formula correctly?) Anyway, I hoped you might have a quick answer. If not, don't worry. Thanks.
Click here to see answer by stanbon(26249)

Question 113746: a computer is purchased for $3200.00. Its value each year is about 79% of the value the preceding year. Its value, in dollars, after t years is given by the exponential function V(t)=3200(0.79)t. Find the value of the computer after 2 years.
Click here to see answer by checkley71(8405)

Question 113883: Which rates are equivalent?
A.) 36 U.S. dollars 54 U.S. dollars
48 Canadian dollars 72 Canadian dollars
B.) 18 U.S. dollars 45 U.S. dollars
24 Canadian Dollars 48 Canadian dollars
C.) 18 U.S. dollars 54 U.S. dollars
24 Canadian dollars 60 Canadian dollars
D.) 48 U.S. dollars 72 U.S. dollars
64 Canadian dollars 128 Canadian dollars
Click here to see answer by checkley71(8405)

Question 113977:
You invest $12,000 in two funds paying 5.5% and 7.5% simple interest. The total annual interest is $772.50. How much is invested in each fund?
Click here to see answer by checkley71(8405)

Question 114226This question is from textbook
: Four hamburgers and three orders of french fries cost $5.15. Three hamburgers and five orders of fries cost $5.10. What would one hamburger and one order of fries cost?This question is from textbook

Click here to see answer by Fombitz(2113)

Question 114555: If ben invests $4000 at 4% interest per year, how much additional money must he invest at 5 1/2% annual interest to ensure that the interest he recieved each year is 4 1/2% of the total amount invested?
Click here to see answer by checkley71(8405)

Question 114650: I am really stuck with the following word problem. Your cousin and you are earning money for your family vacation. Your cousin averages $15.00 a week babysitting and receives one $5.00 bonus. You average $10.00 a week mowing lawns and $8.00 a week running errands for your neighbor. After working the same amounts of weeks, you end up with $7.00 more than your cousin. How many weeks did you work?
Click here to see answer by stanbon(26249)

Question 114672This question is from textbook

: Please help me with a word problem?
A truck rental agency charges a daily fee plus a mileage fee. Julie was charged $85 for two days and 100 miles and Christina was charged $165 for three days and 400 miles. What is the agency's daily fee and what is the mileage fee?This question is from textbook

Click here to see answer by stanbon(26249)

Question 114764: An investment of $20,000.00 will be doubled in 14 years with interest compounded continuously. Find the annual interest rate
Click here to see answer by stanbon(26249)

Question 114793: The sophomore class at south high school raised $800 from sales tickets to a dance. tickets sold for $1.50 in advance and $ 2.00 at the door. if a total of 475 tickets were sold, what were the number of tickets sold at the door
Click here to see answer by jim_thompson5910(13785)

Question 115040This question is from textbook The Best Test Preparation for the GED
:
A restaurant buys cans of corn in bulk. If 3 cans of corn sell for $8.00, how much will one gross cost the restaurant?
(1) $24
(2) $80
(3) $246
(4) $384
(5) $1,152This question is from textbook The Best Test Preparation for the GED

Click here to see answer by checkley71(8405)

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