61.For the first week, the spread of a rumor is proportional to the number of people who have heard the rumor. Find the particular solution to the differential equation for *N*, the number of people who have heard the rumor as a function of time in days, *t*, if 15 people have heard it at time *t *= 0, and 220 people have heard it at time *t* = 5.

A) B) C) D)

62.A country experiences a continuous inflation rate of about 5.5% per year. If a t-shirt had a value of $14 in 1995, write a differential equation and use it to find what the t-shirt’s value was in 2005. Round to the nearest cent.

63.If no more pollutants are dumped into a lake, the amount of pollution in the lake will decrease at a rate proportional to the amount of pollution present. If there are 400 units of pollution present initially and 184 units left after 8 years, use differential equations to find the number of units left after 11 years. Round to 1 decimal place.

64.On January 1, 1879, records show that 500 of a fish called Atlantic striped bass were introduced into the San Francisco Bay. In 1899, the first year fishing for bass was allowed, 100,000 of these bass were caught, representing 10% of the population at the start of 1899. Owing to reproduction, at any moment in time the bass population is growing at a rate proportional to the population at that moment. Write a differential equation satisfied by *B*(*t*), the number of Atlantic striped bass a time *t*, where *t* is in years since January 1, 1879 and 0 ? *t* < 20 and solve it for *B*(*t*).

A)C)

B)D)

65.What is the general solution to the differential equation ?

A) B) C) D) E) none of the above

66.You invest $6,500 in your nephew’s catering business. He guarantees you a minimum return at a continuous interest rate of 3%. Of course, if the business continues to thrive, you will earn at a higher rate.

a) Write a differential equation for the minimum amount, *B*, of your return on investment at time *t*.

b) Solve the differential equation.

c) Graph the solution.

67.A certain bank account earns interest at the rate of 4% compounded continuously. Money is being withdrawn from the account in a continuous stream at a constant rate of $100,000 per year. Write a differential equation modeling how the balance* B* changes over time. Which of the following is the general solution, given an initial balance of *B*_{0}?

A)

B)

C)

D)

68.A certain bank account earns interest at the rate of 8% compounded continuously. Money is being withdrawn from the account in a continuous stream at a constant rate of $100,000 per year. Use differential equations to determine what the minimum initial balance should be in order for the account never to be depleted.

69.What is the general solution of ?

70.What is the general solution of ?

GraduateWriterHelp.com is an online academic writing platform that provides extensive assistance to graduate school students as they work through their research projects, papers and dissertations. GraduateWriterHelp.com gives students access to experienced professionals who can provide the help they need in a timely and efficient manner. The service offers a wide range of services, including editing, proofreading, formatting, researching and more that can give students the confidence they need to write the perfect paper or dissertation for their chosen subject matter.

Services Offered by GraduateWriterHelp.com

GraduateWriterHelp.com offers a wealth of different services designed to make research projects easier for graduate school students. These include editing, proofreading, formatting and researching services, all tailored specifically for graduate-level studies such as PhDs or Master’s degrees in any field from business administration to engineering or even psychology – all with the aim of helping busy students find success in their academics without having to sacrifice other important commitments like family time or work hours towards earning a living wage outside of college hours.

The Benefits of Using GraduateWriterHelp.com

Using GraduateWriterHelp.com gives you access to experts from all over the world who are highly qualified and experienced in helping graduate-level students to complete successful projects in various fields quickly and efficiently – something that would otherwise be difficult, if not impossible, given tight deadlines associated with most Ph.D./Master’s degree programs today. Moreover, using this platform makes it easier for students to keep up with multiple research tasks simultaneously since there are so many different experts available on tap at any one time – no longer will you have to put off studying one topic while focusing on another because of lack of resources! Additionally, having access to professional editors, proofreaders, but also formatters means that quality control standards aren’t sacrificed when finishing major pieces – since these individuals understand what makes up good academic writing better than anyone else and can offer guidance on how best one should go about making improvements along those lines. Finally, there is also an added cost-saving benefit associated with utilizing Graduate Writer Help compared to hiring an independent contractor (which could potentially run into thousands depending on length/complexity).

This service allows users only pay for what students need, which tends to be much lower overall because customers pay per hour rather than project basis, thus resulting to greater financial flexibility, especially for those just starting out postgraduate studies looking to conserve some pennies here there whenever possible!

The price is based on these factors:

Academic level

Number of pages

Urgency

Basic features

- Free title page and bibliography
- Unlimited revisions
- Plagiarism-free guarantee
- Money-back guarantee
- 24/7 support

On-demand options

- Writer’s samples
- Part-by-part delivery
- Overnight delivery
- Copies of used sources
- Expert Proofreading

Paper format

- 275 words per page
- 12 pt Arial/Times New Roman
- Double line spacing
- Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Delivering a high-quality product at a reasonable price is not enough anymore.

That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read moreEach paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read moreThanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read moreYour email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read moreBy sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more