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Question 185924: the fuel efficiency of an average car is given by y= -0.0177x*2 + 1.48x + 3.39 where x is the speed im miles per hour and y is the fuel economy in miles per gallon.
1. find the speed at which an average car will get 20 mi/gal
2. what speed yields the best fuel economy?
3. determine the range of speeds that yield 32 mi/gal or better

please answer
tHaNk yOU
Click here to see answer by stanbon(75887)

Question 186020: A group can charter a particular aircraft at a fixed total cost. If 36 people
charter the aircraft rather than 40 people, then the cost per person is greater by
$12. What is the cost per person if 40 people charter the aircraft?

Click here to see answer by ptaylor(2198)

Question 186659: I need help with a Pre-Algebra problem and it says: identify the domain and range of the relation. Then tell whether the relation is a function.
Here is the table
x| -2 | -1 | 3 | -5 | -8 |
--------------------------
Y| 5 | -2 | 5 | -2 | -2 |
Click here to see answer by jim_thompson5910(35256)

Question 186674: Tony put some money into a savings account and deposited no more into this account for one year. At the end of the year, there was $5885 in the account, including 7% of the original amount for interest. How much did he deposit originally?

and (seperated)

After a 15% discount, an item was sold for $61.20. What was the original price of the item?

thank you for helping
Click here to see answer by nerdybill(7384)

Question 186791: -8-x=x+2
Click here to see answer by checkley77(12844)

Question 186703: Which rational function has a graph with the horizontal asymptote of y= -3
Click here to see answer by Edwin McCravy(20055)

Question 186778: Rita, Brittany, and Maria can complete a jigsaw puzzle in 1 hour and 30 minutes if they work together. Working alone, it takes Rita 1 less hour to complete the jigsaw puzzle than it takes Brittany, and Brittany completes the jigsaw puzzle three times as fast as Maria. How much time would it take each to complete the jigsaw puzzle working alone

aND

Which rational function has a graph with the horizontal asymptote Y=-3
Click here to see answer by ankor@dixie-net.com(22740)

Question 186938: There is $91. If sales tax is 4%, what is the maximum amount of money that can be spent? Explain.
Click here to see answer by jojo14344(1513)

Question 187310: The average of nine numbers is 40. If 1 is added to the first number, 2 is added to the second number, 3 is added to the third number and so on up to the ninth number, what is the new average?
Click here to see answer by solver91311(24713)

Question 187313: Ann has 1.70 in dimes and nickles. She has two more dimes than nickles. How many nickles does she have.
Click here to see answer by stanbon(75887)

Question 187397: Hi,
I'll write the problem word for word in case you can't find it:

Toy manufacturing: After being in business for t years, a toy manufacturer
is making x = 5000 + 50t + 10t^2 GI Jimmy toys per year. The sale
price p in dollars per toy has risen according to the formula
p = 10 + 0.5t. Write a formula for the manufacturer's yearly revenue as
a. a function of time t.
b. a function of price p.

I've used the formula:
(R)Revenue = (P)Price per item * (x)Number of items sold,
and came up with: R(t)=(10+0.5t)*(5000+50t+10t^2) for part a. I'm not sure if this is right or not. Part b I'm not sure either. I had: R(p)=p(5000+50t+10t^2).
Any help at this point would be really appreciated.
Thank you,
Lynn Scott

Click here to see answer by solver91311(24713)

Question 187487: Hi,
Could you please instruct me how to solve the following problem:
1/2+(2/3 + 3/4) - (4/5 * 5/6) =?
Click here to see answer by stanbon(75887)

Question 187753: In one year, Steve earned the same interest from an investment at 5% annual interest as an investment at 7% annual interest. He invested $1200 less in the 7% account. How much money was invested in each account?
Click here to see answer by checkley77(12844)

Question 188968: All students at the Academy of Music and Math take both music and math. The probability that a student has an A in math is 1/6. The probability that a student has an A in music is 5/12. The probability that a student with an A in math has an a in music plus the probability that a student with an A in music has an a in math is 7/10.
What is the probability that a student has A�s in both subjects?

Click here to see answer by Mathtut(3670)

Question 189377: how do u work this problem out????????????

1. y=2x
6x-y=8
Click here to see answer by Alan3354(69443)

Question 189377: how do u work this problem out????????????

1. y=2x
6x-y=8
Click here to see answer by checkley75(3666)

Question 189594: The area of a rectangle is 96. The length is 6, and the width is . What is the value of x? What is the width of the rectangle? (Hint: The area of a rectangle is equal to length times width.)
Click here to see answer by Kalmetam(43)

Question 189605: I have used the solvers presented but I am unable to get the correct answer for the following: A man invest $7000 for one year. He invested part of it at 8% and the rest at 12%. At the end of the year he earned $764 in interest. How much did he invest at each rate? This is a quiz question.
Click here to see answer by jim_thompson5910(35256)

Question 189839: h^2 - 9hs + 9s^2
Click here to see answer by solver91311(24713)

Question 190386: Bob invested some money at 5% simple interest and some at 9% simple interest. The amount invested at the higher rate was twice the amount invested at the lower rate. If the total interst on the investments for 1 year was $920, then how much did he invest at each rate?
I know what the answer is but I have tried every forumla and can't figure out where the numbers come from. The anser is $4000 @ 5% and $8000 @ 9%. Your help is greatly appreciated!
Click here to see answer by jojo14344(1513)

Question 190385: Bob invested some money at 5% simple interest and some at 9% simple interest. The amount invested at the higher rate was twice the amount invested at the lower rate. If the total interst on the investments for 1 year was $920, then how much did he invest at each rate?
I know what the answer is but I have tried every forumla and can't figure out where the numbers come from. The anser is $4000 @ 5% and $8000 @ 9%. Your help is greatly appreciated!
Click here to see answer by jojo14344(1513)

Question 190419: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?

Click here to see answer by stanbon(75887)

Question 190941: a health food store makes a blend of cereal by mixing oatmeal at $3.60 per kilogram and bran flakes at $4.80 per kilogram. how many kilograms of each should be mixed to obtain 30 kg of ceral worth $4.00 a kilogram?
Click here to see answer by stanbon(75887)

Question 190950: at the close of one business day, a company's stock was trading at $24 a share. at the close of the next business day, the stock was trading at 27$ a share. find the percent of increase.
Click here to see answer by Alan3354(69443)

Question 191391: otis hikes up to the falls at 3 km/h and returns by the same route at 5 km/h. if the entire trip takes him 7.5 h, how far is it to the falls?
Click here to see answer by orca(409)

Question 191611: Joe pays the house in 6 hours. Tom pays the house in 4 hours. Sue pays the house in 2 hours. If all of them worked together in how much time will the house be paid?
Click here to see answer by stanbon(75887)

Question 191428: Subtract the lower polynomial from the upper one.
2x^2y-5xy^2+2
-x^2y+2xy^2+2
_______________
Click here to see answer by orca(409)

Question 191933: Hi. I have a problem that i can't answer and I'm wondering if you could help me.
Thank you.

Tom drove 290 miles from his college to home and used 23.2 gallons of gasoline. His sister, Ann, drove 225 miles from her college and used 15 gallons of gasoline. Whose vehicle had better gas mileage? Justify your answer.
Click here to see answer by checkley75(3666)

Question 192027: the person spent a total of $7000(17%) on entertainment and transportion. Make sure you round all your answers to the nearest cent.
what was total income?
Click here to see answer by RAY100(1637)

Question 192848: x+2 over x+5 + 3 over x
Click here to see answer by stanbon(75887)

Question 192842: x+3 over x-4 + (x-2) over 1
Click here to see answer by edjones(8007)

Question 193009: If refinishing your basement at a cost of $48,817 would add $20,842 to the resale value of your home, what percent of your cost is recouped?
Click here to see answer by stanbon(75887)

Question 193010: Abby Kaminsky sold her ski house at Attitash Mountain in New Hampshire for $242,720. This sale represented a loss of 18% off the original price. What was the original price Abby paid for the ski house? (Round your answer to the nearest dollar. Omit the "$" sign in your response.)
Original price is $
Click here to see answer by stanbon(75887)

Question 193020: In 2010, the price of a business math text rose to $113. This is 6% more than the 2009 price. What was the old selling price?
Click here to see answer by jojo14344(1513)

Question 193013: Pete Smith found in his attic a Woody Woodpecker watch in its original box. It had a price tag on it for $4.45. The watch was made in 1949. Pete brought the watch to an antiques dealer and sold it for $35.50. What was the percent of increase in price? (Round to the nearest hundredth percent. Omit the "%" sign in your response.)
The percent increase is
Click here to see answer by Alan3354(69443)

Question 193063: i should find the vertex of the following: f(x) = x^2+8x+27
do i have to do it as follows?
x^2+8x+16-16+27
(x+4)^2+27
a(x-(-8)^2+27
vertex is (-8, 27)? somehow this seems very wrong to me...
Click here to see answer by jim_thompson5910(35256)

Question 193066: if I have to find the interval notation of (x-2)/(x+1)<=0 is it (- infinity, -1) U (2, infinity) ? I think I miscalculated and it should be (- infinity, 2) correct?
Click here to see answer by user_dude2008(1862)

Question 193082: the task is 3/7 = 2/x-4
i solved as follows: 0=(2/x-4)/(3/7) = 2/(x-4)*(7/3) now the result would be 14/3x-12 but I know that this is the wrong answer... where is my mistake?
Click here to see answer by Alan3354(69443)

Question 193087: is 5^10x=125
log5 125 = 10x?
Click here to see answer by Earlsdon(6294)

Question 193084: Finding an inverse formula of f(x) = 9-4x
First I replaced f(x) with y: y=9-4x
then i switched y with x: x=9-4y then i solved for y
x-9 = -4y
(x-9)/-4 = y
now if i replace y with f -1(x) will i change the signs as well to (-x+9)4? or am I completely wrong with my calculations?
Click here to see answer by Earlsdon(6294)

Question 193100: I need help trying to solve this problem, Thanks
Problem :
What is the amount P that must be invested at interest rate 5.5% compounded daily to obtain the balance of A =$150000 in t years.
t = 1 P=?
t= 10 P=?
Given is the interest rate formula A=P(1+(r/n))^nt
Any help with this question will be greatly appreciated, thanks.
Click here to see answer by jim_thompson5910(35256)

Question 193157: Hello.
I'm studying for a test and need some help checking the following problem:
Solve the equation:
4^x+3 = 8^x-1
thanks!
Click here to see answer by stanbon(75887)

Question 193016: Fuel inventories were lower than last year according to the San Francisco Chronicle dated February 24, 2007. This year there are 38.6 million barrels of inventory, a 9.72 percent drop.

(a) What was the amount of inventory last year to nearest tenth?
_____million
(b) What was the amount of the decrease?
_____million
Click here to see answer by Mathtut(3670)

Question 193332: Solve the exponential equation. Give the answer correct to 3 decimal places.
15,000 = 500e^03x
Click here to see answer by RAY100(1637)

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