Explanation Given information: The balance B in a bank account earns interest 4% interest per year compounded continuously and payments are made out of the account at a rate of $12, 000 per year, the differential equation to model this situation is B = 12000 + C e 0.04 t Calculation: The interest rate is 4% per year compounded continuously. The amount deposited into account is $12, 000

6th Edition

ISBN: 9781119399322

Author: Hughes-Hallett

Publisher: WILEY

See similar textbooks

Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

Videos

Question

Chapter 9, Problem 47SYU

To determine

Indicate whether the statement is true of false.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 9, Problem 46SYU

Chapter 9, Problem 48SYU

Students have asked these similar questions

5. How long will it take an investment of $2000 to grow to $3000 at an interest rate of 6% compounded continuously? Use the formula A = Pert.

A pension fund has a liability of £65000 to be paid precisely in 4 years time. It wants to Reddington immunise this liability with P 3-year zero coupon bonds and Q 5-year zero coupon bonds, where P and Q are to be determined. Interest is compounded continuously with rate 2%. Write down the two equations that P and Q need to satisfy for Reddington immunisation and solve these equations for P and Q.

9. How long does it take for Mary to deposit $100 to an annual interest rate of 3%, compound interest once a month, to get the principal and interest and $150? If the account is compounded continuously, how long does it take?

Chapter 9 Solutions

APPLIED CALCULUS (WILEY PLUS)

Ch. 9.1 - Prob. 1P Ch. 9.1 - Prob. 2P Ch. 9.1 - Prob. 3P Ch. 9.1 - Prob. 4P Ch. 9.1 - Prob. 5P Ch. 9.1 - Prob. 6P Ch. 9.1 - Prob. 7P Ch. 9.1 - Prob. 8P Ch. 9.1 - Prob. 9P Ch. 9.1 - Prob. 10P

Ch. 9.1 - Prob. 11P Ch. 9.1 - Prob. 12P Ch. 9.1 - Prob. 13P Ch. 9.1 - Prob. 14P Ch. 9.1 - Prob. 15P Ch. 9.1 - Prob. 16P Ch. 9.2 - Prob. 1P Ch. 9.2 - Prob. 2P Ch. 9.2 - Prob. 3P Ch. 9.2 - Prob. 4P Ch. 9.2 - Prob. 5P Ch. 9.2 - Prob. 6P Ch. 9.2 - Prob. 7P Ch. 9.2 - Prob. 8P Ch. 9.2 - Prob. 9P Ch. 9.2 - Prob. 10P Ch. 9.2 - Prob. 11P Ch. 9.2 - Prob. 12P Ch. 9.2 - Prob. 13P Ch. 9.2 - Prob. 14P Ch. 9.2 - Prob. 15P Ch. 9.2 - Prob. 16P Ch. 9.2 - Prob. 17P Ch. 9.2 - Prob. 18P Ch. 9.2 - Prob. 19P Ch. 9.2 - Prob. 20P Ch. 9.2 - Prob. 21P Ch. 9.2 - Prob. 22P Ch. 9.3 - Prob. 1P Ch. 9.3 - Prob. 2P Ch. 9.3 - Prob. 3P Ch. 9.3 - Prob. 4P Ch. 9.3 - Prob. 5P Ch. 9.3 - Prob. 6P Ch. 9.3 - Prob. 7P Ch. 9.3 - Prob. 8P Ch. 9.3 - Prob. 9P Ch. 9.3 - Prob. 10P Ch. 9.3 - Prob. 11P Ch. 9.3 - Prob. 12P Ch. 9.3 - Prob. 13P Ch. 9.3 - Prob. 14P Ch. 9.3 - Prob. 15P Ch. 9.3 - Prob. 16P Ch. 9.3 - Prob. 17P Ch. 9.4 - Prob. 1P Ch. 9.4 - Prob. 2P Ch. 9.4 - Prob. 3P Ch. 9.4 - Prob. 4P Ch. 9.4 - Prob. 5P Ch. 9.4 - Prob. 6P Ch. 9.4 - Prob. 7P Ch. 9.4 - Prob. 8P Ch. 9.4 - Prob. 9P Ch. 9.4 - Prob. 10P Ch. 9.4 - Prob. 11P Ch. 9.4 - Prob. 12P Ch. 9.4 - Prob. 13P Ch. 9.4 - Prob. 14P Ch. 9.4 - Prob. 15P Ch. 9.4 - Prob. 16P Ch. 9.4 - Prob. 17P Ch. 9.5 - Prob. 1P Ch. 9.5 - Prob. 2P Ch. 9.5 - Prob. 3P Ch. 9.5 - Prob. 4P Ch. 9.5 - Prob. 5P Ch. 9.5 - Prob. 6P Ch. 9.5 - Prob. 7P Ch. 9.5 - Prob. 8P Ch. 9.5 - Prob. 9P Ch. 9.5 - Prob. 10P Ch. 9.5 - Prob. 11P Ch. 9.5 - Prob. 12P Ch. 9.5 - Prob. 13P Ch. 9.5 - Prob. 14P Ch. 9.5 - Prob. 15P Ch. 9.5 - Prob. 16P Ch. 9.5 - Prob. 17P Ch. 9.5 - Prob. 18P Ch. 9.5 - Prob. 19P Ch. 9.5 - Prob. 20P Ch. 9.5 - Prob. 21P Ch. 9.5 - Prob. 22P Ch. 9.5 - Prob. 23P Ch. 9.5 - Prob. 24P Ch. 9.5 - Prob. 25P Ch. 9.6 - Prob. 1P Ch. 9.6 - Prob. 2P Ch. 9.6 - Prob. 3P Ch. 9.6 - Prob. 4P Ch. 9.6 - Prob. 5P Ch. 9.6 - Prob. 6P Ch. 9.6 - Prob. 7P Ch. 9.6 - Prob. 8P Ch. 9.6 - Prob. 9P Ch. 9.6 - Prob. 10P Ch. 9.6 - Prob. 11P Ch. 9.6 - Prob. 12P Ch. 9.6 - Prob. 13P Ch. 9.6 - Prob. 14P Ch. 9.6 - Prob. 15P Ch. 9.6 - Prob. 16P Ch. 9.6 - Prob. 17P Ch. 9.6 - Prob. 18P Ch. 9.6 - Prob. 19P Ch. 9.6 - Prob. 20P Ch. 9.6 - Prob. 21P Ch. 9.6 - Prob. 22P Ch. 9.6 - Prob. 23P Ch. 9.6 - Prob. 24P Ch. 9.6 - Prob. 25P Ch. 9.6 - Prob. 26P Ch. 9.7 - Prob. 1P Ch. 9.7 - Prob. 2P Ch. 9.7 - Prob. 3P Ch. 9.7 - Prob. 4P Ch. 9.7 - Prob. 5P Ch. 9.7 - Prob. 6P Ch. 9.7 - Prob. 7P Ch. 9.7 - Prob. 8P Ch. 9.7 - Prob. 9P Ch. 9.7 - Prob. 10P Ch. 9.7 - Prob. 11P Ch. 9.7 - Prob. 12P Ch. 9 - Prob. 1SYU Ch. 9 - Prob. 2SYU Ch. 9 - Prob. 3SYU Ch. 9 - Prob. 4SYU Ch. 9 - Prob. 5SYU Ch. 9 - Prob. 6SYU Ch. 9 - Prob. 7SYU Ch. 9 - Prob. 8SYU Ch. 9 - Prob. 9SYU Ch. 9 - Prob. 10SYU Ch. 9 - Prob. 11SYU Ch. 9 - Prob. 12SYU Ch. 9 - Prob. 13SYU Ch. 9 - Prob. 14SYU Ch. 9 - Prob. 15SYU Ch. 9 - Prob. 16SYU Ch. 9 - Prob. 17SYU Ch. 9 - Prob. 18SYU Ch. 9 - Prob. 19SYU Ch. 9 - Prob. 20SYU Ch. 9 - Prob. 21SYU Ch. 9 - Prob. 22SYU Ch. 9 - Prob. 23SYU Ch. 9 - Prob. 24SYU Ch. 9 - Prob. 25SYU Ch. 9 - Prob. 26SYU Ch. 9 - Prob. 27SYU Ch. 9 - Prob. 28SYU Ch. 9 - Prob. 29SYU Ch. 9 - Prob. 30SYU Ch. 9 - Prob. 31SYU Ch. 9 - Prob. 32SYU Ch. 9 - Prob. 33SYU Ch. 9 - Prob. 34SYU Ch. 9 - Prob. 35SYU Ch. 9 - Prob. 36SYU Ch. 9 - Prob. 37SYU Ch. 9 - Prob. 38SYU Ch. 9 - Prob. 39SYU Ch. 9 - Prob. 40SYU Ch. 9 - Prob. 41SYU Ch. 9 - Prob. 42SYU Ch. 9 - Prob. 43SYU Ch. 9 - Prob. 44SYU Ch. 9 - Prob. 45SYU Ch. 9 - Prob. 46SYU Ch. 9 - Prob. 47SYU Ch. 9 - Prob. 48SYU Ch. 9 - Prob. 49SYU Ch. 9 - Prob. 50SYU Ch. 9 - Prob. 51SYU Ch. 9 - Prob. 52SYU Ch. 9 - Prob. 53SYU Ch. 9 - Prob. 54SYU Ch. 9 - Prob. 55SYU Ch. 9 - Prob. 56SYU Ch. 9 - Prob. 57SYU Ch. 9 - Prob. 58SYU Ch. 9 - Prob. 59SYU Ch. 9 - Prob. 60SYU Ch. 9 - Prob. 61SYU Ch. 9 - Prob. 62SYU Ch. 9 - Prob. 63SYU Ch. 9 - Prob. 64SYU Ch. 9 - Prob. 65SYU Ch. 9 - Prob. 66SYU Ch. 9 - Prob. 67SYU Ch. 9 - Prob. 68SYU Ch. 9 - Prob. 69SYU Ch. 9 - Prob. 70SYU Ch. 9 - Prob. 1FOT Ch. 9 - Prob. 2FOT Ch. 9 - Prob. 3FOT Ch. 9 - Prob. 4FOT Ch. 9 - Prob. 5FOT Ch. 9 - Prob. 6FOT Ch. 9 - Prob. 7FOT Ch. 9 - Prob. 8FOT Ch. 9 - Prob. 9FOT Ch. 9 - Prob. 10FOT Ch. 9 - Prob. 11FOT Ch. 9 - Prob. 12FOT Ch. 9 - Prob. 13FOT Ch. 9 - Prob. 14FOT Ch. 9 - Prob. 15FOT Ch. 9 - Prob. 16FOT Ch. 9 - Prob. 17FOT Ch. 9 - Prob. 18FOT Ch. 9 - Prob. 19FOT Ch. 9 - Prob. 20FOT Ch. 9 - Prob. 21FOT

Knowledge Booster

$Calculus$

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.

Indicate whether the statement is true of false.

Solution Summary: The author explains the difference between true and false statements. The balance in a bank account earns 4% interest per year compounded continuously.

Concept explainers

Videos

Indicate whether the statement is true of false.

Want to see the full answer?

Chapter 9 Solutions