Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)
Question 624561: At what interest rate (to the nearest hundredth of a percent) compounded annually will money in savings double in five years?
That is my problem and I have tried it like this.
2=1(1+I)^5 then I distributed the 1 then I just subtracted 1 from both sides and then put the entire problem into logarithmic form and didn't know what to do from there but I figured that I=1 because 5^1=5 but the answer still comes out wrong. I am taking an online course and have already exceeded my limit of times able to take it while still getting the same problem wrong.
Click here to see answer by solver91311(24713)   |
Question 625920: I'm trying to solve a future value equation and i need to solve for t. Please i just cant seem to get it
the formula is fv=pv(1+r)^t
If my fv=1105 pv=250 interest is 8% what is t(number of years) i need it broke down all the way please because my calculations just aren't coming out right.
PLEASE SOMEBODY HELP ME!
Click here to see answer by Alan3354(69443)  |
Question 626920: For each problem below show your work and write your answer in a complete sentence.
1) A car depreciates or loses value at the rate of 20% per year. If the car originally cost $20,000, the depreciation can be modeled by the equation y = 20,000(0.8)^t, where y is the depreciation and t is the time in years. Find the value of the car at the end of 2 years.
2) The average growth rate of the population of a city is 7.5% per year and is represented by the formula y = A(1.075)^x, where x is the number of years and y is the most recent population. The city's population (A) is now 22,750 people. What is the expected population in 10 years?
3) How much should Sabrina invest now in a money market account if she wishes to have $9000 in the account at the end of 10 years? The account provides an APR of 6% compounded quarterly. The formula for compound interest is A = P(1 + r/n)^nt.
4) Average national teachers' salaries can be modeled using the equation y = 9.25(1.06)^n, where y is the salary in thousands of dollars and n is the number of years since 1970? What can the teacher expect to have a salary in the year 2020?
5) Suppose a researcher estimates that the initial population of a colony of cells is 100. If the cells reproduce at a rate of 25% per week, what is the expected population of the colony in six weeks? Use the formula: N = N(1 + r)^t
Click here to see answer by solver91311(24713) |
Question 626921: Bakersfield, CA was founded in 1859 when Colonel Thomas Baker planted 10 acres of alfalfa for travelers going from Vesalia to Los Angelos to feed their animals. The city's population can be modeled by the equation y = 33,430e^0.0397t, where t is the number of years since 1950.
1) What in the formula tells you that Bakersfield has experienced population growth?
2) According to the formula, what was the population in 1950?
3) Use the formula to find the population in 2010.
4) Does the formula give an accurate projection for Bakerfield's population? Why or why not?
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Question 628699: An exponential decay graph shows the expected depreciation for a new boat, selling for $3,500, over 10 years.
a. Write an exponential function for the graph.
b. Use the function in part a to find the value of the boat after 9.5 years.
Click here to see answer by jsmallt9(3758) |
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