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

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Question 30092: Pam jogged up a hill at 6 km/h and then jogged back down at 10 km/h. How many kilometers did she travel in all if her total jogging time was 1 hour and 20 minutes?
Click here to see answer by Paul(988) About Me 

Question 30097: When ace airlines changed to planes that flew 100 km/h faster than its old ones, the time of its 2800 km Dallas-Seattle flight was reduced by 30 minutes. Find the speed of the new planes

Let the speed be x (orignal)
increased speed = x+100
30 minutes =0.5hours
Equation:








a=0.5, b=50, c=-280000
Simplfy and you get two solutions:
x=-800 and x=700
Remove the negavtive
x=700
700+100=800

Hence, the speed of the new planes is 800km/h
.

Click here to see answer by Paul(988) About Me 
Question 30097: When ace airlines changed to planes that flew 100 km/h faster than its old ones, the time of its 2800 km Dallas-Seattle flight was reduced by 30 minutes. Find the speed of the new planes

Let the speed be x (orignal)
increased speed = x+100
30 minutes =0.5hours
Equation:








a=0.5, b=50, c=-280000
Simplfy and you get two solutions:
x=-800 and x=700
Remove the negavtive
x=700
700+100=800

Hence, the speed of the new planes is 800km/h
.

Click here to see answer by jacobskayla_lee_633(5) About Me 

Question 30093: Lina Chen invested $24,000, part at 8% and the rest at 7.2%. How much did she invest at each rate if her income from the 8% investment is two thirds of the 7.2% investment?
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Question 30194: a father loaned his daughter 12,200 at a 2% annual simple interest rate for a down payment on a house. if the intrest on the loan amounted to 610.00 for how long was the loan
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Question 30114: Lian Chen invested $24,000, part at 8% and the rest at 7.2%. How much did she invest at each rate if her income from the 8% investment is two thirds that of the 7.2% investment?
Click here to see answer by checkley71(8405) About Me 

Question 30223: TERRI'S WEEKLY INCOME IS A $100 DOLLARS LESS THAN DOULBE GARY'S WEEKLY IONCOME. IF TERRI MAKE'S $448 A WEEK, WHAT DOES GARY MAKE?

AND I HAVE A NOTHER QUESTION
PAUL MAKES $25 A WEEK LEES THAN THE SUM OF WHAT AVERY AND CASEY MAKES TOGETHER MAKE. CASEY'S WEEKLY INCOME WOULD BE TRIPLE STEVE'S IF CASEY MAKES $50 MORE A WEEK. PAUL MAKES $342 A WEEK. HOW MUCH D OES AVERY MAKE?

Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 30222: TERRI'S WEEKLY INCOME IS A $100 DOLLARS LESS THAN DOULBE GARY'S WEEKLY IONCOME. IF TERRI MAKE'S $448 A WEEK, WHAT DOES GARY MAKE?

AND I HAVE A NOTHER QUESTION
PAUL MAKES $25 A WEEK LEES THAN THE SUM OF WHAT AVERY AND CASEY MAKES TOGETHER MAKE. CASEY'S WEEKLY INCOME WOULD BE TRIPLE STEVE'S IF CASEY MAKES $50 MORE A WEEK. PAUL MAKES $342 A WEEK. HOW MUCH D OES AVERY MAKE?

Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 30257: Please help me solve this question:
Rose Bowl Florists buys and sells roses by the complete dozen. The owner buys 12 dozen fresh roses daily for $ 117.00
He knows that 10% of the roses will wilt before they can be sold.
What price per dozen must Rose Bowl Florists charge for its saleable roses to realize a 55% markup based on selling price?
Thank you.

Click here to see answer by checkley71(8405) About Me 

Question 30308: When x number of units are sold, the price of each unit(in dollars)is given by p=-x/2+75. find the unit price when the following quantities are sold:2,7,9,11.
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Question 30531: Remember Little Johnny? He now has two investments that produce a $150 income each month. If $1,000 more is invested at 9% than at 10%, how much was invested at each percent?

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Question 30712: Please help me put this into an equation. A man has $.70 in dimes and nickels. He has 8 coins together. How many nickels does he have? I know the answer is 2 by trial and error but I don't know the equation.
Click here to see answer by Paul(988) About Me 
Question 30712: Please help me put this into an equation. A man has $.70 in dimes and nickels. He has 8 coins together. How many nickels does he have? I know the answer is 2 by trial and error but I don't know the equation.
Click here to see answer by checkley71(8405) About Me 

Question 29396: Rochelle has 2.55 in dimes and quarters. She has eight5 more dimes than quarters.How many quarters does she have?
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Question 30718: Can you please help me with this one? ** A restaurant has fixed costs of $137.50 per day and an average unit cost of $4.75 for each meal served. If a typical meal costs $6.00, how many customers must eat at the restaurant each day for the owner to make a profit?
Click here to see answer by Nate(3495) About Me 

Question 30720: Please help me!!! A jazz group on tour has been drawing average crowds of 500 persons. It is projected that for every $1 increase in the $12 ticket price, the average attendance will decrease by 50. At what ticket price will the nightly receipts be $5600?
Click here to see answer by Paul(988) About Me 
Question 30720: Please help me!!! A jazz group on tour has been drawing average crowds of 500 persons. It is projected that for every $1 increase in the $12 ticket price, the average attendance will decrease by 50. At what ticket price will the nightly receipts be $5600?
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Question 30813: An office supply store sells seven tablets and 4 pens for $6.40. Also, two tablets and 19 pens cost $5.40. Find the price of each.
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Question 30848: Can you please help me? I think it's a linear equation. Also, it would help if you put step by step explanations. Thanks so much!!! *A restaurant has fixed costs of $137.50 per day and an average unit cost of $4.75 for each meal served. If a typical meal costs $6.00, how many customers must eat at the restaurant each day for the owner to make a profit?
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Question 30919:
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Question 30976: Joe has $40,000 to invest. He invests part of it at 5%, one-fourth of this amount at 6%, and the rest of the money at 7%. His total annual interest income is $2,530. Find the amount invested at each rate.
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Question 30970: Joe has $40,000 to invest. He invests part of it at 5%, one-fourth of this amount at 6%, and the rest of the money at 7%. His total annual interest income is $2,530. Find the amount invested at each rate.
Click here to see answer by josmiceli(3003) About Me 

Question 31007: I'm stuck on this problem and don't have a clue on how to set it up. Will it be a system of equations? If I can get help setting it up I know I can solve it.Could you please help me set it up.
A car rental agency charges a daily fee plus a mileage fee. Mr. Jones was charged $375 for 3 days and 500 miles. Mr. Smith was charged $470 for 4 days and 600 miles. What is the agency's daily fee and what is their mileage fee?

Click here to see answer by acerX(62) About Me 

Question 31262This question is from textbook College Algebra
: A group of friends decides to buy a vacation home for $120,000, sharing the cost equally. If they could find one more person to join them, each person's contribution would drop by $6,000. How many people are in the group?
Thank you so very much!
This question is from textbook College Algebra

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Question 29504: Old Mac Donald had a farm. On this farm were a number of sheep, pigs, and chickens valued at five dollars, three dollars, and fifty cents each respectively. The total number of animals was 100 and their combined total was $100.

How many of each type of animal did old Mac Donald have on his farm?

Click here to see answer by checkley71(8405) About Me 

Question 31372: A company wants to invest $180,000 in three accounts, one bearing 4.5%, another 6%, and another 8% interest. Twice as much will be invested at 4.5% as at 8%, and the total interest earned the first year is $10,400. How much should be invested at each rate?
Click here to see answer by josmiceli(3003) About Me 

Question 27797: If all Marsha's dimes were quarters, she would be 90 cents richer. How many dimes does she have?
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Question 31437: You invest $250 in your savings account at the end of each year and earn an average of 6% per year in interest. How much will you have in your savings account at the end of forty years?
My problem is not from a textbook but from an online personal finance course.

Click here to see answer by mukhopadhyay(490) About Me 

Question 31743: Hillary took out a loan of $2800 for 1 year. If the interest is $336, what is the interest rate on this loan?
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Question 31778This question is from textbook
: Please help me with this interest problem! I'm desperate and thankyou upfront
A realtor borrowed $90,000to develop some property. He was able to borrow part of the money at 11.5% interest and the rest at 12%. The annual interest on the two loans amounts to $10,525. How much was borrowed at each rate?
This question is from textbook

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Question 31906This question is from textbook College Algebra
: A telephone company offers two long-distance plans.
Plan A: $25 per month and .05 per minute
Plan B: $5 per month and .12 per minute
For how many minutes of long-distance calls would plan B be finanically advantageous?
Thank you very much!
This question is from textbook College Algebra

Click here to see answer by mbarugel(146) About Me 

Question 31942: I know this has to be easy,,,,
The number of enrolles in a HMO in Kentucky in a recent year was 416,300. This was a 48.4% increase over the previous year. What was the former number of enrollees?

Click here to see answer by checkley71(8405) About Me 

Question 32085This question is from textbook 9781592009428
: Goodevening.I would like to beg you, please help me in this problems

1)The total interest earned on a sum of money invested for one year was $183. If the $500 more was invested at 1o% simple interest than was invested at 9% simple interest, how much was invested at each rate?
2) geometry problem
In a 30,60 right triangle, if the opposite side of right angle is 6 units, find the area of triangle.
your poor studnent Emmamodi
This question is from textbook 9781592009428

Click here to see answer by stanbon(26249) About Me 

Question 32111: Please help me break down and explain the answer to this? Thank you so much.
Total profits of the sales were $4980; there were 15 more graphing calculators sold than the scientific calculator. The scientific calculator’s price is $18.00 and the graphing calculator is $87.00. Determine how many of each calculator did the bookstore sell.

Click here to see answer by Paul(988) About Me 

Question 32157: i need your help in this easy one
In a 30,60 right triangle, if the opposite of the angle is 6 units, find the area of triangle.

Click here to see answer by stanbon(26249) About Me 

Question 32217: This question is from a worksheet.
Two shirts and three pairs of shorts cost $88.15. Three shirts and one pair of shorts cost $66.60. Find the cost of each.

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Question 32231: Two girls went to the store for rice and sugar. One girl bought 3 kilograms of sugar and 2 kilograms of rice for $3.25. The other girl bought 2 kilograms of sugar and 2 kilograms of rice for $2.50. Find the price per kilogram for both the sugar and the rice.
Click here to see answer by Paul(988) About Me 

Question 32236: Six apples and 1 pear cost $2.00. At the same store, 3 apples and 6 pears cost $2.10. Find the cost of one apple and the cost of one pear.

*** I tried to substitute, but I don't think I did it right.
Here's what I did:
6a+p= 2.00
3a+6p= 2.10
So I tried p=2.00-6a
3a+(2.00-6a)=2.10
3a+2.00-6a=2.10
-3a=2.10-2.00
-3a=.10
and obviously thats not right :(

Click here to see answer by stanbon(26249) About Me 
Question 32236: Six apples and 1 pear cost $2.00. At the same store, 3 apples and 6 pears cost $2.10. Find the cost of one apple and the cost of one pear.

*** I tried to substitute, but I don't think I did it right.
Here's what I did:
6a+p= 2.00
3a+6p= 2.10
So I tried p=2.00-6a
3a+(2.00-6a)=2.10
3a+2.00-6a=2.10
-3a=2.10-2.00
-3a=.10
and obviously thats not right :(

Click here to see answer by Earlsdon(4898) About Me 

Question 32274: John Page invested 11000 in an account that pays 12 percent simple interest. How much additional money must be invested in an account that pays 15 percernt simple interest so that the average return on two investments amounts to 13 percent?
Click here to see answer by mbarugel(146) About Me 

Question 32273: A woman has 1.70 in dimes and nickels. She has 5 more dimes than nickels. How many nickels she have?
Click here to see answer by mukhopadhyay(490) About Me 

Question 30977: A company wants to invest $180,000 in three accounts, one bearing 4.5%, another 6%, and another 8% interest. Twice as much will be invested at 4.5% as at 8%, and the total interest earned the first year needs to be $10,400. How much should be invested at each rate?
Click here to see answer by checkley71(8405) About Me 

Question 32352: Name the properties of real numbers illistrated below please?
4 + (7 + 1) = (4 + 7) + 1
Thanks,
Denise

Click here to see answer by stanbon(26249) About Me 

Question 32356: Would you check my answers on these problems please & correct if need be?
Thank you so much.

1.Combine like terms:
3x – 6x2 + 2 – 4x2 + 7x – 1 – 8 + 3x2
Answer: 10x – 7x2 - 7
2. Solve for x:
7x – 3 = -5x – 18
Answer:
7x = -5x – 15
+5x + 5x
12x = -15
12 12
x = - 1 1/4

3. Solve for x:
4(x – 1) + 2 = 3x + 8 – 2x
Answer:
4x –4 + 2 = x + 8
-x - x
3x –2 = 8
+ 2 + 2
3x = 10 x = 3 1/3
4. Solve for x:
(x – 4)/2 – 1/5 = (7x + 1)/20
Answer:
x/2 –2 –1/5 = 00.5x
x/2 –2.2 = 00.5x
(2) x/2-2.2 = 00.5x
2x/2 –4.4 = 1
+ 4.4 + 4.4
2x/2 = 4.5
1x= 4.5
x = 4.5
5. Translate to an algebra statement; do not solve:
Three times the sum of a number and seven yields the same result as the twice the same number decreased by four.
Answer: 3a + 7 = 2a –4



Click here to see answer by stanbon(26249) About Me 

Question 31439: You want to have $40,000 to buy a new boat in six years. How much do you have to save at the end of each year to reach this goal if you earn 5% a year on your savings?
This is not a question from a textbook but from an online finance course. Thank you.

Click here to see answer by stanbon(26249) About Me 

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