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Question 1099585: Can someone help me how to solve this problem. I appreciate it.
As the prize in a​ contest, you are offered ​$16,000 now or $ 18,700 in 6 years. If the money can be invested at 5% compounded​ annually, which prize will be worth more in 6 ​years?

Click here to see answer by Fombitz(32388) About Me 

Question 1099627: "Solve the equation"
n-1 = (2/n)
a. (6,-7) b. (-5,-4)
c. (5,-4) d. (5,0)

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Question 1099675: Which offers a higher interest, option a with a 10% simple interest for 5 years, or option b, with 7% compounded quarterly for 5 years?
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Question 1099680: A projectile is fired from a cliff 1488 feet above the water at inclination of 45 degrees to the horizontal, with a velocity of 720 feet per second. The h of the projectile can be modeled by:
h(x)=-32x^2/720^2+x+1488
Where x is the horizontal distance of the projectile from the firing point

At what horizontal distance from the firing point will the projectile hit the ground? Feet:

I got the other parts to the question correct and finished. I cannot seem to get this last part to the problem correct. I have tried setting h(x) to zero but the answer never seems to come out right. Any help with would very appreciated, Thank you!

Click here to see answer by Theo(13342) About Me 

Question 1099681: A Norman window has the shape of a rectangle surmounted by a semicircle of diameter equal to the width of the rectangle. If the perimeter of the window is 860 cm, find maximum area of the window in order to admit the most light and the dimensions of the window.
(a) max area=(in cm^2)
(b) Length of the base of the window (or the length of the diameter of the semicircle) =(in cm)
(c) Total height of the window including the rectanle and the semicircle = (in cm)

Any help would be greatly appreciated! thank you!

Click here to see answer by htmentor(1343) About Me 

Question 1099626: In 2003, the price of a certain automobile was approximately $32,500.00 with a depreciation of $2,690.00 per year. After how many years will the car's value be $13,670.00?
a) Write an equation to model the problem. Let t represent the number of years after 2003.
Answer:
b) Solve the equation to answer the question above. (Note: Include the units, in this case years.)
Answer:

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Question 1099633: The Topology Taxi Company charges 2.20 for the first quarter of a mile and 0.55 for each additional fifth of a mile. Find a linear function which models the taxi fare F as a function of the number of miles driven, m

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Question 1099777: Matt is saving to buy a new motorcycle. If he deposits ​$55 at the end of each month in an account that pays an annual interest rate of 3.5​%, how much will he have in 15 ​months? Assume that the compounding is being done monthly.

Click here to see answer by Theo(13342) About Me 

Question 1099621: in 2003, the price of a certain automobile was approximately $32,500.00 with a depreciation of $2,050.00 per year. After how many years will the car's value be $7,900.00?
a) Write an equation to model the problem. Let t represent the number of years after 2003.
Answer:
b) Solve the equation to answer the question above. (Note: Include the units, in this case years.)
Answer:

Click here to see answer by Fombitz(32388) About Me 

Question 1099808: Maria invest $300 in a bank at 4.25% for 2 years. Interest is calculated semi annually and then added on the investment.Calculate the interest earned at the end of 2 years and the balance in her account

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Question 1099857: Dwayne earns $12,000 per year in salary and 6% commission on your sales how much where his sales if his annual income was between $21,000 and $27,000?
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Question 1099892: man invests $2500 in two accounts. one account earns 2% and the other account earns 9%.the total profit is $113.How much is invested in the two accounts

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Question 1099892: man invests $2500 in two accounts. one account earns 2% and the other account earns 9%.the total profit is $113.How much is invested in the two accounts

Click here to see answer by greenestamps(13200) About Me 

Question 1099955: Brian invests £7900 into his bank account.
He receives 2.3% per year compound interest.
How much will Brian have after 5 years?
Give your answer to the nearest penny where appropriate.

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Question 1100013: A television set that originally cost $2,340 was reduced in price by successive discounts of 20%, 25% and 10%. What was the equivalent single rate of discount?
Click here to see answer by richwmiller(17219) About Me 

Question 1100020: Laura spends 56 hours each month training: volleyball, badminton,and basketball. She spends twice as much time practicing volleyball as she does basketball. She spends four hours less practicing badminton that volleyball. How many hours does she spend on each?
Click here to see answer by Boreal(15235) About Me 

Question 1099997: After building your new home, you decide you would like to install an in-ground pool in 7 years. How much do you need to invest now at 5.25% interest compounded continuously to have the $30,000 you need to build the pool?

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Question 1100010: An investor invested a total of ​$2,300 in two mutual funds. One fund earned a 6​% profit while the other earned a 3​% profit. If the​ investor's total profit was ​$90​, how much was invested in each mutual​ fund?
Click here to see answer by ikleyn(52781) About Me 

Question 1100025: If f(x)=5x−100 represents the profit function for x items that require a total of $100 investments and return a profit of $5 each, how many items must be sold to break even?
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Question 1100052: There were 254 star apples and oranges in a fruit stand.After 23 fruits had been sold,the number of oranges became twice as much as the number of star apples.How many oranges were left in the fruit stand?
Click here to see answer by ikleyn(52781) About Me 

Question 1100094: Job A has a starting salary of $12,000 with annual increases of $800. Job B has a starting salary of $11,000 with annual increases of 10%. Which job will pay more (in total) after 5 years? How much more will that job pay?

Thank you!!

Click here to see answer by Boreal(15235) About Me 

Question 1100124: Josie is about to draw a card at random from a standard deck of 52 playing cards. Determine the probability that she will draw a red card or 6.
A) 1/2 B) 1/13 C) 7/13 D) 15/26

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Question 1100254: How many possible remainders are there if the divisor is 4?
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Question 1100315: At closing time, there was $320 worth of $1, $2, $5, $10, and $20 bills in the till. The $1, $2, and $5 bills totalled $80. There were as many $10 bills as $20 bills. How many $20 bills were there?
Click here to see answer by ikleyn(52781) About Me 

Question 1100319: The car radiator holds 20L. It contains a 25% antifreeze solution. Since the weather is getting colder,
the mechanic should make the solution 40% antifreeze. How much of the 25% solution should be drained
and replaced with pure antifreeze to give a 40% solution.

Click here to see answer by ikleyn(52781) About Me 
Question 1100319: The car radiator holds 20L. It contains a 25% antifreeze solution. Since the weather is getting colder,
the mechanic should make the solution 40% antifreeze. How much of the 25% solution should be drained
and replaced with pure antifreeze to give a 40% solution.

Click here to see answer by greenestamps(13200) About Me 
Question 1100319: The car radiator holds 20L. It contains a 25% antifreeze solution. Since the weather is getting colder,
the mechanic should make the solution 40% antifreeze. How much of the 25% solution should be drained
and replaced with pure antifreeze to give a 40% solution.

Click here to see answer by richwmiller(17219) About Me 

Question 1100314: A bus leaves the bus terminal with x passenger. When the bus comes to the first stop, 3/5 of the passengers get off and 4 passengers get on. At the second stop, 1/4 of the passengers leave the bus and 9 passengers get on. Now, the number of passengers on the bus is only half that when the bus lest the bus terminal. Find the value of x.
Click here to see answer by greenestamps(13200) About Me 

Question 1100356: In eighteen years, you will want to help her pay for college. How much do you need to invest now at 4.75% interest compounded monthly so you can help her pay for the $40,000 expense of college?
Click here to see answer by Theo(13342) About Me 

Question 1100305: A vendor sells h hot dogs and s sodas. If a hot dog costs twice as much as a soda, and if the vendor takes in a total of d dollars, how many cents does a soda cost?
Click here to see answer by josgarithmetic(39617) About Me 

Question 1100308: A clothing store buyer purchased some designer jeans at $22 a pair. Then she bought 20 more than half that number of another type of designer jeans at $26 a pair. If she spent $110 more on the first type, how many pairs pf each type did she buy?
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Question 1100302: David is 30 years younger than his father. Two years ago, 3 times of David's age was 20 years older than half that of his father. How old is David now?
Let x be David's age now.

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Question 1100407: Can someone check is this correct and help me with last step. Thanks.
The total assets of bond mutual funds (in trillion) are approx. by f(x)=-2.38+1.478 ln x
where x=10 correspond to 2000.
a) what were total assets in 2002 and 2004?
b) find year which total will reach 2.5 trillion?
_________________________________________________
This is how I did:
x=10
2002 year ------> x=2
2004 --------> x=4
a) f(x)=-2.38+1.478 ln 2 =-1.35552846 ===> -1.356
f(x)=-2.38+1.478 ln 4 =-0.33105..===> -0.331
b) I don't know how to find year?

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Question 1100375: What will Rs. 125000 amount to at the rate of 16 percent for 1 year, if the interest is after every four months?
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Question 1100412: Can someone explain me how to do this. Thank you.
A national census bureau predicts that a certain population will increase from 34.8 million in 2000 to 56.6 million in 2050.
a) Find exponential function for f(t)=yob^t which t=0 correspond to 2000 and f(t) is in millions.
b) what is the projected population in 2030? 2040?
c) By experimenting with different value of t, estimate the year in which population will reach 54 millions?

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Question 1100317: A broker invested $10000, part earning interest at 8% per annum, and the remainder at 10% per annum. If the investments earned $872 in one year, how much is invested at 10%. (Use algebra)
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Question 1100432: An astronaut on the moon throws a baseball upward. The height of the ball in feet (y) is related to the number of seconds since the ball was thrown (x).
y=-2.7x^2+30x+6.5
A. How high will the ball be after 3 seconds?
B. Give two approximate times (in seconds) that the ball will be at a height of 75 feet.
How many seconds on its way up?
C. How many seconds on its way down?
Please help me solve this! Im stuck, thank you!

Click here to see answer by Boreal(15235) About Me 

Question 1100453: Together, Katya and Mimi have 480 pennies in their piggy banks. After Katya lost ½ of her pennies and Mimi lost 2/3 of her pennies, they both had an equal number of pennies left. How many pennies did they lose altogether?
PLEASE HELP ASAP!

Click here to see answer by ikleyn(52781) About Me 

Question 1100462: Two bicyclists are 180 miles apart when they start racing towards each other. If their speeds are 14 mph and 16 mph respectively, how long will it be before they are twenty miles apart?
TYSM IF YOU HELP! PLEASE DO THIS ASAP THIS IS DUE TOMORROW >.<

Click here to see answer by Alan3354(69443) About Me 
Question 1100462: Two bicyclists are 180 miles apart when they start racing towards each other. If their speeds are 14 mph and 16 mph respectively, how long will it be before they are twenty miles apart?
TYSM IF YOU HELP! PLEASE DO THIS ASAP THIS IS DUE TOMORROW >.<

Click here to see answer by KMST(5328) About Me 

Question 1100474: Bubba has 48 ml of a solution that is 25% acid. How much water should he add to obtain a solution is only 15% acid?
Click here to see answer by Alan3354(69443) About Me 
Question 1100474: Bubba has 48 ml of a solution that is 25% acid. How much water should he add to obtain a solution is only 15% acid?
Click here to see answer by ikleyn(52781) About Me 

Question 1100473: Yofi is investing $6,000 in two accounts, part of 4.5% interest and the balance at 6% interest. If the total annual interest earned from two accounts is 279. how much did yogi invest at each rate?
Click here to see answer by richwmiller(17219) About Me 

Question 1100475: Bubba invests his money for three years at two separate accounts, the first earning %8 interest and the second earning 10 percent. If the amount of interest in the first account was four times greater than the amount in the second account and the interest for the three years in both accounts totaled 2,950, what was the original principle invested in each account.
Click here to see answer by greenestamps(13200) About Me 

Question 1100487: three quantities t,x, and y such that t varies directly as x and inversely as the square root of y. find the percentafe decrease in t , if x decreases by 4% , when y increases by 44%
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560