Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)
Question 83310: Help!! I know once you get a) you keep uping the power?
The formula for calculating the amount of money returned for an initial deposit money into a bank account or CD is give by
A = P(1+r/n)^nt
A is the amount of returned
P is the principal amount initially deposited
r is the annual interest rate (expressed as a decimal).
n is the compound period
t is the number of years
carry all calculations to 6 decimals on all assignments then round the answer to the nearest cent.
Suppose you deposit $10,000 for 2 years at a rate of 10%
a) calculate the return (A) if the bank compounds annually (n-1). Round your answer to the hundredth's place
answer:
show work here: (use ^ to indicate the power)
b) calculate the return (A0 if the bank compounds quarterly (n=4). Round answer to the hundredth's place
answer
show work:
c)calculate the return (A) if the bank compounds monthly (n= 12) Round to the hundredth's place
answer and show work
d) calculate the return (A) is the bank compounds daily (n =365) round to hendredth's
answer and show work
e) what observation can you make about the size of the increase of your return as your compounding increases more frequently?
answer
f) if a bank compounds continuously, then the formula takes a simpler, that is A = Pe^rt where e is a constant and equals approximatley 2.7183.
calculate A with continuous compounding. round to hun.
answer and show work
g) now suppose, instead of knowing t, we know that the bank returned to us $15,000 with the bank compounding continuously. Using natural logarithms, find how long we left the money in teh bank (find t) round to hunds.
answer and show work
h) A commonly asked question is, "How long will it take to double my money"? At 10% interest and continuous compounding, what is the answer? round hundrd.
answer and show work
Click here to see answer by jim_thompson5910(28595)  |
Question 83291: I get so lost in these long problems please help
The formula for calculating the amount of money returned for an initial deposit money into a bank account or CD (Certificate of Deposit) is given by
A is the amount of returned.
P is the principal amount initially deposited.
r is the annual interest rate (expressed as a decimal).
n is the compound period.
t is the number of years.
Carry all calculations to 6 decimals on all assignments then round the answer to the nearest cent.
Suppose you deposit $10,000 for 2 years at a rate of 10%.
a) Calculate the return (A) if the bank compounds annually (n = 1). Round your answer to the hundredth's place.
Answer:
a) continued
Show work in this space. Use ^ to indicate the power.
b) Calculate the return (A) if the bank compounds quarterly (n = 4). Round your answer to the hundredth's place.
Answer:
Show work in this space
c) Calculate the return (A) if the bank compounds monthly (n = 12). Round your answer to the hundredth's place.
Answer:
Show work in this space
d) Calculate the return (A) if the bank compounds daily (n = 365). Round your answer to the hundredth's place.
Answer:
Show work in this space
e) What observation can you make about the size of the increase in your return as your compounding increases more frequently?
Answer:
f) If a bank compounds continuously, then the formula takes a simpler, that is
where e is a constant and equals approximately 2.7183.
Calculate A with continuous compounding. Round your answer to the hundredth's place.
Answer:
Show work in this space
g) Now suppose, instead of knowing t, we know that the bank returned to us $15,000 with the bank compounding continuously. Using natural logarithms, find how long we left the money in the bank (find t). Round your answer to the hundredth's place.
Answer:
Show work in this space
h) A commonly asked question is, “How long will it take to double my money?” At 10% interest rate and continuous compounding, what is the answer? Round your answer to the hundredth's place.
Answer:
Show work in this space
Click here to see answer by jim_thompson5910(28595) |
Question 83723: Hello:
I am trying to answer the following math problem, but I do not know where to start:
The number of bacteria in a dish has tripled every month. If there were 2500 bacteria at first, how many bacteria were there 10 months later.
I have tried to answer this problem a couple ways:
using A=p^rt and by creating an equation. However, I am just not sure.
Please give me some guidance.
Thank you
LK
Click here to see answer by stanbon(57347) |
Question 83895: The population of the United States in 1994 was about 260 million, and the population was about 277 million in 2003.
Find the growth rate in the United States and write an exponential function describing this situation.
What was the projected percent of increase annually?
The population was/will be 1 billion in what year?
Click here to see answer by stanbon(57347) |
Question 84105: this is my problem:
let f(x)=5/x^2 and g(x)=6x=1
now it says to find (f 0 g)(x) and to find the domain of these
my first instinct is to multiply the two equations together and the domain is the x value of the answer, is this the correct procedure?
if it isnt will someone please lay out the steps for solving it for me
Click here to see answer by stanbon(57347) |
Question 84114: help please I'll owe u big time if you can help me with this....THANK YOU
Use the geometric sequence of numbers 1, 2, 4, 8,…to find the following:
a) What is r, the ratio between 2 consecutive terms?
Answer:
Show work in this space.
b) Using the formula for the nth term of a geometric sequence, what is the 24th term?
Answer:
Show work in this space.
c) Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?
Answer:
Show work in this space
Click here to see answer by venugopalramana(3286) |
Question 84434: Find an exponential Formula for f(-8) = 200 and f(30) = 580.
Could you please explain to me what process I use to find the answer to this kind of problem? I wish to find the answer to the problem after understanding the process if I can. I don't wish for the answer, just an explanaton on how to find the answer if that is okay. I was able to figure out that I need to do something to show that there are 38 units between f(-8) and f(30) and I even found the answer using the calculator and lots of trial and error, but I simply can't figure out how to solve it properly. Please help.
Click here to see answer by bucky(2189) |
Question 84672: I'M HORRIBLE WITH WORD PROBLEMS AND THIS SEEMS SO SIMPLE, YET IT HURTS MY BRAIN. PLEASE HELP ME!
It takes Eric twice as long as Allen to plant a field of corn. When they worked together, it took five hours. How long would it have taken each of them working alone?
a)define variable:
b)write an equation:
c)solution:
Click here to see answer by dolly(163) |
|
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
|
