Suppose that $12,000 is invested in a bond fund and the account grows to $14,309 .26 in 4 yr. (See Example 2) a. Use the model A = P e r t to determine the average rate of return under continuous compounding. Round to the nearest tenth of a percent. b. How long will it take the investment to reach $20,000 if the rate of return continues? Round to the nearest tenth of a year.
Suppose that $12,000 is invested in a bond fund and the account grows to $14,309 .26 in 4 yr. (See Example 2) a. Use the model A = P e r t to determine the average rate of return under continuous compounding. Round to the nearest tenth of a percent. b. How long will it take the investment to reach $20,000 if the rate of return continues? Round to the nearest tenth of a year.
Solution Summary: The author calculates the average rate of return under continuous compounding by using the model equation A=Pert.
Let f (x) = x², a 3, and b
=
=
4.
Answer exactly.
a. Find the average value fave of f between a and b.
fave
b. Find a point c where f (c) = fave. Enter only one of the possible values for c.
c=
please do Q3
Use the properties of logarithms, given that In(2) = 0.6931 and In(3) = 1.0986, to approximate the logarithm. Use a calculator to confirm your approximations. (Round your answers to four decimal places.)
(a) In(0.75)
(b) In(24)
(c) In(18)
1
(d) In
≈
2
72
College Algebra with Modeling & Visualization (5th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License