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Question 1148375: Anoy the Anay was found in a Library. He was first found at the first page of Letter A Encyclopaedia. One week after, by making a straight hole through pages and covers he was found at the last page of Letter Z Encyclopaedia. Given that the Encyclopaedia has 26 books (each Letter has 1 Book), all pages are 5cm and the covers is 1.5cm each. What is the distance Anoy the Anay travelled?
Click here to see answer by ikleyn(52781) About Me 

Question 1148351: Jill invested $100,000 in stocks and bonds. Equities earned a total return of
12%, and the fixed income component earned 8%. If she had invested twice
as much in equities, she would have made $1,800 more. How much was
invested in equities?
I don't need the answer as much as I need to understand the steps. Your help is greatly appreciated, thank you in advance!!!!

Click here to see answer by Theo(13342) About Me 
Question 1148351: Jill invested $100,000 in stocks and bonds. Equities earned a total return of
12%, and the fixed income component earned 8%. If she had invested twice
as much in equities, she would have made $1,800 more. How much was
invested in equities?
I don't need the answer as much as I need to understand the steps. Your help is greatly appreciated, thank you in advance!!!!

Click here to see answer by MathTherapy(10552) About Me 

Question 1148402: For a biology lab you are looking at the growth of a bacterial colony. If your teacher started with 1 bacterium that grows at a rate of 4% every hour and by 2:15 pm when you have class there are 1200 bacteria, what time did your teacher start the experiment? Show Work
Click here to see answer by josgarithmetic(39617) About Me 

Question 1148381: The probability of winning a prize in a game of chance is 0.48. What is the least number of games that must be
played to ensure that the probability of winning at least twice is more than 0.95?

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

Question 1148520: Justine played $1.16 for 2 pounds of bananas. Dave bought 2.5 pounds of bananas at the same price per pound that Justine paid. What was the total amount that Dave paid for his bananas ?
Click here to see answer by ikleyn(52781) About Me 

Question 1148533: How do you solve: -6x^2 + 5x + 11 ≤ 0 ?
Click here to see answer by josgarithmetic(39617) About Me 

Question 1148535: If a and b are positive numbers such that a^b=b^a and b=9a, then what is the value of a?
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Question 1148541: Let a, b, c, and d be real numbers with |a-b|=2,|b-c|=3, and|c-d|=4. What is the sum of all possible values of |a-d|?
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Question 1148540: The number 2013 has the property that its units digit is the sum of its other digits, that is 2 + 0 + 1 = 3. How many integers less than 2013 but greater than 1000 share this property?

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Question 1148538: Given that -4 ≤ x ≤ -2 and 2 ≤ y ≤ 4, what is the largest possible value of (x+y)/x?
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Question 1148538: Given that -4 ≤ x ≤ -2 and 2 ≤ y ≤ 4, what is the largest possible value of (x+y)/x?
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Question 1148536: What is the sum of all the solutions of x = |2x-|60-2x||?
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Question 1148537: What is the number of distinct solutions of the equation |x-|2x+1||=3?
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Question 1148539: The sum of the first m positive odd integers is 212 more than the sum of the first n positive even integers. What is the sum of all possible values of n?
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Question 1148539: The sum of the first m positive odd integers is 212 more than the sum of the first n positive even integers. What is the sum of all possible values of n?
Click here to see answer by ikleyn(52781) About Me 

Question 1148532: Let n be a positive integer. If the equation 2x + 2y + z = n has 28 solutions in positive integers x, y and z, then what is the value of n?
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Question 1148592: The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes). The monthly cost for 36 minutes of calls is $17.53 and the monthly cost for 75 minutes is $21.82. What is the monthly cost for 59 minutes of calls?

Click here to see answer by josgarithmetic(39617) About Me 
Question 1148592: The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes). The monthly cost for 36 minutes of calls is $17.53 and the monthly cost for 75 minutes is $21.82. What is the monthly cost for 59 minutes of calls?

Click here to see answer by josmiceli(19441) About Me 

Question 1148660: An investment company pays 8​% compounded semiannually. You want to have $22000 in the future.
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Question 1148769: Four years ago, Michelle was 3 times as old as lenlen. The sum of their ages now is 48. How old are they?
Click here to see answer by ikleyn(52781) About Me 

Question 1148756: A circular rock garden with a diameter of 50 feet is placed in the middle of a square grass yard. If the perimeter of the yard is 116 yards, then how much area is covered by grass?
For all calculations involving π, use π≈3.14.
Hint: Be careful that you do not do any rounding on answers until the very end of a problem part, or you could create rounding error.
a) Amount of area covered by grass, measured in square feet = Blank
square feet.
DO NOT TYPE COMMAS. Round your answer to 2 decimal places as needed.
b) Amount of area covered by grass, measured in square yards = Blank
square yards.
Round your answer to 2 decimal places as needed

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Question 1148809: A 10-inch sunflower is planted in a garden and the height of the sunflower increases exponentially. The height of the sunflower increases by 25% every 5 days.
What is the 5-day growth factor for the height of the sunflower?

What is the 1-day growth factor for the height of the sunflower?

What is the 1-day percent change for the height of the sunflower?

Write a function
f
that determines the height of the sunflower (in inches) in terms of the number of days
t
since the sunflower was planted.
f(t)

Click here to see answer by josmiceli(19441) About Me 

Question 1148818: Delaney took out a $32,000 student loan with a fixed interest rate to pay for college. Delaney did not make payments on her loan for a period of 7 years. After this time period interest had accrued, resulting in the loan balance increasing to $60,000.
What is is the 7-year growth factor for the amount that Delaney owes on the loan?
1.7483
Incorrect
What is the 7-year percent change for the amount that Delaney owes on the loan?
74
Incorrect %
What is is the 1-year growth factor for the amount that Delaney owes on the loan?
1.81
Incorrect
What is the 1-year percent change for the amount that Delaney owes on the loan?
Incorrect %

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

Question 1148880: An investment company pays 6​% compounded semiannually. You want to have $ 11 comma 000 in the future.
​A) How much should you deposit now to have that amount 5 years from​ now?
B) 10 years from now?

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Question 1148897: The populations of Towns A, B, and C vary exponentially with respect to time.
The population of Town A increases by 30% every 7 years. What is the annual percent change in the population of Town A?
8.18826
Incorrect %
The population of Town B decreases by 38% every 15 years. What is the annual percent change in the population of Town B?
Incorrect %
The population of Town C triples every 11 years. What is the annual percent change in the population of Town C?
10.50315
Correct %

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

Question 1148896: A 9-inch tall sunflower is planted in a garden and the height of the sunflower increases exponentially. 5 days after being planted the sunflower is 15.1655 inches tall.
What is the 5-day growth factor for the height of the sunflower?
1.6100484927
Incorrect
What is the 1-day growth factor for the height of the sunflower?
1.1099996575
Correct
What is the 7-day growth factor for the height of the sunflower?
11.27339449
Incorrect

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

Question 1148907: Billy Thornton borrowed $150,000 at a rate of 7.25% simple interest with interest paid at the end of each month. The bank uses a 360 day year. How much interest would Billy have to pay in a 30 day month?
A) $904.75
B) 907.75
C) 903.25
D) $909.25
E) 906.25

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

Question 1148908: Suppose your credit card issuer states that it charges a 17.00% nominal annual rate, but you must make monthly payments, which amounts to monthly compounding. What is the effective annual rate?
A) 18.19%
B) 17.99%
C) 18.39%
D) 18.79%
E) 18.59%

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Question 1148906: Can you please help me with this question? What is the present value of $1,900 discounted back 5 years if the appropriate interest rate is 6% compounded monthly?
A) $1,395.01
B) $1,388.21
C) $1,408.61
D) $1,401.81
E) $1,422.21

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Question 1148952: Suppose $17,000 is invested in an account with an APR of 5%.
If the interest is compounded annually, how much interest is earned over the first 6 years?
$

If the interest is compounded monthly, how much interest is earned over the first 6 years?
$

If the interest is compounded daily, how much interest is earned over the first 6 years?
$

If the interest is compounded continuously, how much interest is earned over the first 6 years?
$


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

Question 1148951: Suppose an initial population of 33 million people increases at a continuous percent rate of 1.8% per year since the beginning of 2000.
Write a function f that determines the population (in millions) in terms of the number of years t since the beginning of 2000.
f(t)=

Determine the population (in millions) at the beginning of 2019.
million people
What is the annual growth factor for the population?

If a represents the population (in millions) at some point in time, write an expression in terms of a to represent the population exactly 1 year later.


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

Question 1148955: Suppose you want to have $500,000 for retirement in 20 years. Your account earns 6% annual interest compounded monthly.
a) How much would you need to deposit in the account at the end of each month?
b) How much interest will you earn?

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Question 1148954: ou deposit $5000 at the beginning of each year into an account earning 7% interest compounded annually. How much will you have in the account in 25 years?

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Question 1148953: How much would you need to deposit in an account at the end of each month in order to have $50,000 in the account in 10 years? Assume the account earns 7% annual interest compounded monthly.

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

Question 1148950: Jack plants a magic beanstalk that is 4 feet tall. The height of the magic beanstalk increases exponentially, doubling each day.
Write a function
f
that determines the height of the beanstalk (in feet) in terms of the number of days
t
since the beanstalk was planted.
f
(
t
)
=

If the moon is directly over the beanstalk, how many days after the beanstalk was planted would the beanstalk reach the moon? (The moon is 238,900 miles from the earth, and there are 5,280 feet in 1 mile.)
days
If the sun is directly over the beanstalk, how many days after the beanstalk was planted would the beanstalk reach the sun? (The sun is 92,960,000 miles from the earth, and there are 5,280 feet in 1 mile.)
days

Click here to see answer by ikleyn(52781) About Me 
Question 1148950: Jack plants a magic beanstalk that is 4 feet tall. The height of the magic beanstalk increases exponentially, doubling each day.
Write a function
f
that determines the height of the beanstalk (in feet) in terms of the number of days
t
since the beanstalk was planted.
f
(
t
)
=

If the moon is directly over the beanstalk, how many days after the beanstalk was planted would the beanstalk reach the moon? (The moon is 238,900 miles from the earth, and there are 5,280 feet in 1 mile.)
days
If the sun is directly over the beanstalk, how many days after the beanstalk was planted would the beanstalk reach the sun? (The sun is 92,960,000 miles from the earth, and there are 5,280 feet in 1 mile.)
days

Click here to see answer by Alan3354(69443) About Me 

Question 1148949: A scientist runs an experiment involving a culture of bacteria. She notices that the mass of the bacteria in the culture increases exponentially with the mass increasing by 321% per week.
What is the 1-week growth factor for the mass of the bacteria?
4.21
Correct
What is the 1-day growth factor for the mass of the bacteria?
1.6014
Incorrect
By what percent does the mass of bacteria increase by each day?
1.6014285714
Incorrect %
If the mass of the bacteria instead increased by 479% per week, by what percent would the mass increase by each day?
5.79
Incorrect %

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

Question 1148971: 1. Assume you invest $10,000 in a mutual fund (e.g. money market fund) at an APR of 7% compounded quarterly. How long, to the nearest tenth of a year, will it take the $10,000 to grow to $100,000? [Solve using both methods below.]

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Question 1149046: What does that name was very interesting to them mean
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Question 1149087: We want $5000 in 9 years. How much do we deposit each quarter in an account earning 8% interest compounded quarterly?

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

Question 1149106: A man saved 3000 in a bank p, whose interest rate was X% per annum and 2000 in another bank Q whose interest rate was Y% per annum. His total interest in one year was 640. If he had saved 2000 in P and 3000 in Q for the same period, he would have gained 20 as additional interest. Find
(I) the value of x and Y.
(II) the investment return if the man saves 5000 in bank Q for 2years.

Click here to see answer by Boreal(15235) About Me 
Question 1149106: A man saved 3000 in a bank p, whose interest rate was X% per annum and 2000 in another bank Q whose interest rate was Y% per annum. His total interest in one year was 640. If he had saved 2000 in P and 3000 in Q for the same period, he would have gained 20 as additional interest. Find
(I) the value of x and Y.
(II) the investment return if the man saves 5000 in bank Q for 2years.

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

Question 1149114: 1. How long will it take for $300 to grow to $450 in an account earning 5% simple interest?
Click here to see answer by Boreal(15235) About Me 

Question 1149103: Is the environment a major issue with Americans? To answer that question, a researcher conducts a survey of 1255 randomly selected Americans. Suppose 747 of the sampled people replied that the environment is a major issue with them. Construct a 95% confidence interval to estimate the proportion of Americans who feel that the environment is a major issue with them. What is the point estimate of this proportion?


(Round the intermediate values to 3 decimal places. Round your answer to 3 decimal places.)
enter the lower limit of the confidence interval

≤ p ≤
enter the upper limit of the confidence interval



The point estimate is ?






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

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