Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)
Question 1093206: Latasha plans to invest $2500 in an account that compounds quarterly, hoping to at least double her money in 10 years.
a. Write an inequality that can be used to find the interest rate at which Latasha should invest her money.
b. What is the lowest rate that will allow her to meet her goal?
c. Suppose she only wants to invest her money for 7 years. What interest rate would allow her to double her money?
Click here to see answer by Boreal(15235)   |
Question 1094218: If logax=4 and logay=5, use log laws to find the exact values of:
loga(x^2y)
loga(axy)
loga(xy)
I have no idea how to do these questions - i tried googling them and there not in my textbook. any help would be greatly appreatiated. thankyou so much in advance.
Click here to see answer by math_helper(2461)  |
Question 1094715: Jacqueline buys $3,000 worth of appliances. Customers can finance through the store for 12% financing for 5 years, compounded continuously.
Jacqueline will pay $_________________
for the appliances, including interest
Click here to see answer by addingup(3677)  |
Question 1094716: From 1991 through 1995, the number of computers per 1000 people worldwide can be modeled by C = 25.2(1.15)t, where is the is the number of years since 1991.
The initial amount is
The growth factor is ___________
The annual percent increase is ___________
%
If the trend continues, the number of computers per 1000 people worldwide in 2000 is _____________
. Round to two decimal places,
Click here to see answer by greenestamps(13200)  |
Question 1096702: Exponential Models: In a civil case a large company has a judgement made against it.
The magistrate states that the penalty is $1 million, to be paid on July 01 2017 and then fine
increases by $10 million each day thereafter. The companys legal counsel insists
that the penalty is unfair and arbitrary and hence they are not legally bound to pay the fine
until an appeal case is heard. The magistrate is very canny and in response to this
they decide to set aside their intial ruling and instead makes the following offer of a choice
of penalties, with the chosen penalty to be legally binding once agreed to:
Penalty A: $1 million dollars to be paid on July 1 , 2017 and the ne increases by $10 million
each day thereafter i.e. the original penalty
Penalty B: An initial amount of 1 cent, beginning on July 1, 2017 and doubling thereafter, with the ne payable to be the amount generated after 40 days of doubling
The companylegal counsel is delighted andwithout recourse toaconsulting mathematician,
readily take the o⁄er of Penalty B, thinking that a penalty of 1 cent cannot double su¢ ciently
to be anywhere near Penalty A.
1. (a) Which penalty will be larger after the 40 days? Were the company counsel correct
in taking the option of Penalty B?
(b) Express as a formula, the amount Penalty A as a function of time t , where t is the
number of days after July 01 2017.
Click here to see answer by Boreal(15235) |
Question 1096699: Exponential Models: In a civil case a large company has a judgement made against it.
The magistrate states that the penalty is $1 million, to be paid on July 01 2017 and then increases by $10 million each day thereafter.
Express as a formula, the amount Penalty as a function of time t , where t is the
number of days after July 01 2017.
Click here to see answer by Boreal(15235) |
Question 1097074: Plutonium-238 is used in bombs and power plants but is dangerously radioactive. It decays very slowly into nonradioactive materials. If you started with 300 grams today, a year from now you would still have 297.6 grams.
a) Construct an exponential function to describe the decay of plutonium-238 over time, rounding to three decimal places if necessary: P(t)=?
b) How much of the original 300 grams of plutonium-238 would be left after 60 years? After 600 years?
Round the answers to one decimal place.
Click here to see answer by jorel1380(3719)  |
Question 1096994: Estabon poured himself a hot beverage that had a temperature of 202 degreesF then set it on the kitchen table to cool. The temperature of the kitchen was a constant 74degreesF. If the drink cooled to 181 degreesF in 3 minutes, how long will it take for the drink to cool to 100 degreesF?
Click here to see answer by jorel1380(3719) |
Question 1097404: Dear Tutor,
Could you please help me with this question:
Find the derivative of f(x) = (e^(3x))^4 in two different ways, and the derivative of g(x) = ln (x^3) in two different ways.
I know that one way is applying the chain rule.. but what is the second way?
Thank you for helping me.
Click here to see answer by Alan3354(69443)  |
Question 1098778: 5^x=3-5^(2x)
Please help! Sorry I've been asking a lot of questions but I have a test tomorrow and we had a supply teacher who didn't know the material. The teacher left handouts without a lesson so I've been figuring things out on my own. More likely I'm really tired and can't concentrate. Sorry for the inconvenience.
Click here to see answer by greenestamps(13200) |
Question 1098778: 5^x=3-5^(2x)
Please help! Sorry I've been asking a lot of questions but I have a test tomorrow and we had a supply teacher who didn't know the material. The teacher left handouts without a lesson so I've been figuring things out on my own. More likely I'm really tired and can't concentrate. Sorry for the inconvenience.
Click here to see answer by ikleyn(52800)  |
Question 1099143: The number of people in a community who hear a particular rumor is governed by the
logistic model
R(t) =
L 1 + Me−κt where R(t) represents the number of people who have heard the rumor t days after the
rumor initially was told by one person to another person. The constants L, M and κ
are to be determined from observations of the spreading rumor.
The following observations of the rumor “The cake is a lie” spreading across a uni
versity campus are made • Initially one student tells another student the rumor, that is, only 2 students have heard the rumor. • The rumor spreads to 10 students after 1 day. • After a number of days of observations it is predicted that eventually, that is, after a very long time, 200 students on campus will have heard the rumor.
Given the three pieces of information provided from the observations of the rumor, find
the exact values of the constants L, M and κ. Write the equation describing how many
people have heard the rumor at time t days after the rumor starts
Click here to see answer by greenestamps(13200) |
Question 1099218: The number of people in a community who hear a particular rumor is governed by the
logistic model
R(t) =
L 1 + Me−κt where R(t) represents the number of people who have heard the rumor t days after the
rumor initially was told by one person to another person. The constants L, M and κ
are to be determined from observations of the spreading rumor.
The following observations of the rumor “The cake is a lie” spreading across a uni
versity campus are made • Initially one student tells another student the rumor, that is, only 2 students have heard the rumor. • The rumor spreads to 10 students after 1 day. • After a number of days of observations it is predicted that eventually, that is, after a very long time, 200 students on campus will have heard the rumor.
Given the three pieces of information provided from the observations of the rumor, find
the exact values of the constants L, M and κ. Write the equation describing how many
people have heard the rumor at time t days after the rumor starts.
Click here to see answer by greenestamps(13200) |
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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
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