A deposit of $5000 is made to a bank account paying 1.5% annual interest, compounded continuously. (a)

Question:

A deposit of $5000 is made to a bank account paying 1.5% annual interest, compounded continuously.

(a) Write a differential equation for the balance in the account, B, as a function of time, t, in years.

(b) Solve the differential equation.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Applied Calculus

ISBN: 9781119275565

6th Edition

Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale

See More Books

Question Posted: Apr 10, 2023 04:15 AM

See More Questions

Let us consider the following initial value problem y'(t) = y(t) + at , y(1) = 1 (a e R). For which value of a , the approximate solution y2(t) will be using Euler Method ? 21 22 23 24 25 a. b. C. -...
The following information is available for a bank account: Note that the money earns interest which is computed as Interest = iBi where i = the interest rate expressed as a fraction per month, and Bi...
A bank account earns 7% annual interest compounded continuously. You deposit $10,000 in the account, and withdraw money continuously from the account at a rate of $1000 per year. (a) Write a...
Svetlana (45) and Petro (43) are both employed and each have their own group benefit plan that provides family coverage. Svetlana's birthday is in June and Petro's is in December. The couple has one...
Carbon absorbs energy at a wavelength of 150 nm. The total amount of energy emitted by a carbon sample is 1.98 105 J. Calculate the number of carbon atoms present in the sample, assuming that each...
Manhattan Partners provides management consulting services to government and corporate clients. Manhattan has two support departments-administrative services (AS) and information systems (IS)-and two...
Use technology and the data in RestaurantTips to construct a graph of the relationship between Server and Credit for the situation in Exercise 2.38. Data From Exercise 2.38: Credit Card by Server The...
Graphical derivation and interpreting beta You are analyzing the performance of two stocks. The first, shown in Panel A, is Cyclical Industries Incorporated. Cyclical Industries makes machine tools...
On September 30, 2022, Panther Learning shows the following balances in its ledger. Use the data to prepare the trial balance below. Cash 5,000 Accounts Payable 1,300 Accounts Receivable 1,200 Common...
Let w be the number of worms (in millions) and r the number of robins (in thousands) living on an island. Suppose w and r satisfy the following differential equations, which correspond to the slope...
Use Figure 9.47 to estimate the maximum number of infecteds. What does this represent? When does it occur? Figure 9.47: Progress of the flu over time number of people 762 300 Susceptibles Infecteds 5...
A is an m x n matrix and b is in R m . Justify each answer. (T/F) If the columns of A are linearly independent, then the equation Ax = b has exactly one least-squares solution.
The chief economist of the Lusitania country fund believes that the firm will be better served in the long term by using a composite forecasting model combining the forward rate and the Third Eye...
Sonys royalties payment. The U.S. sales subsidiary of the Japanese consumer electronics giant Sony Inc. is committed to paying a fixed lump sum of money (royalties) set at 2. 5 percent of its U.S....
Currency risk in the travel industry. Ulysses Travel Ltd (UTL) is a Boston-based travel operator that specializes in tour and holiday packages with destinations in Spain, Italy, and Greece where...
Dinky Toys cross-border acquisition. Dinky Toys, Inc. (DTI) of Pennsylvania has just purchased a Thai company that manufactures plastic beams and sockets for childrens construction toys. The purchase...
John Deeres Chinese acquisition. The U.S. farming equipment giant just won approval from the Chinese authorities for the acquisition of Shen-Zhen Excavators Ltd.a medium-sized Chinese manufacturer of...
Explain the reasons that CRM systems may fail the customer according to the article.
Southwestern Punch was made by Frutayuda, Inc. and sold in 12-ounce cans to benefit victims of Hurricane Zero. The mean number of ounces placed in a can by an automatic fill pump is 11.7 with a...
Determine the integrals in Exercises by making appropriate substitutions. f (x + 2x + 3)(x + 1)d
Determine if the given expression approaches a limit as b , and find that number when it does. b 2
Determine the following indefinite integrals: (In x)5 S X - dx
You are building an apartment complex with 80 three-bedroom units near the downtown office district. The designers estimate that there will be on average 3.5 occupants in each apartment. A. Calculate...
The field team sends an update to the project manager letting him know that there were 12 employees at the project site, there were no accidents this week and no issues to report, and that the team...
what ways do individuals navigate and negotiate their identities within the complex matrix of socialization processes, considering factors such as ethnicity, gender, and socioeconomic status ?

A deposit of $5000 is made to a bank account paying 1.5% annual interest, compounded continuously. (a)

Question:

Step by Step Answer:

a Since interest is earned continuously Rate of ...View the full answer

Applied Calculus

Students also viewed these Mathematics questions