(a) If Daniella opens a mutual fund account with a deposit of $15,000 and it promises to pay an annual interest rate of r%, compounded on a monthly basis.Derive a function B, which shows the balance on Daniella′s account the end of 6 years. Make a comparison of the rates of change in B with resect to the interest rate when r is 8% , 10% and 12%. (b) A virus is believed to be spreading through a sheep farm according to that equation 1 N = 450 (1 + 249e−0.1t ) where N is the number of sheep infected and t is the number of days. How many sheep are infected at t = 0?Using a spreadsheet calculate the number of sheep infected after 0, 10, 30 , 50, 70, 100 days) Will all the sheep become infected eventually? Give reasons to support your answer.

As per the Bartleby guidelines for more than one part of the question only one part has to be solved…

iella opens a mutual fund account with a deposit of $15,000 and it promises to pay an annual interest rate of r%, compounded on a monthly basis. Derive a function B, which shows the balance on Daniella′s account the end of 6 years. Make a comparison of the rates of change in B with resect to the interest rate when r is 8% , 10% and 12%.

iella opens a mutual fund account with a deposit of $15,000 and it promises to pay an annual interest rate of r%, compounded on a monthly basis. Derive a function B, which shows the balance on Daniella′s account the end of 6 years. Make a comparison of the rates of change in B with resect to the interest rate when r is 8% , 10% and 12%.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 40E

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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 differential equations.

Question

(a) If Daniella opens a mutual fund account with a deposit of $15,000 and it promises to pay an annual interest rate of r%, compounded on a monthly basis.

Derive a function B, which shows the balance on Daniella^′s account the end of 6 years.

Make a comparison of the rates of change in B with resect to the interest rate when r is 8% , 10% and 12%.

(b) A virus is believed to be spreading through a sheep farm according to that equation

^{N = 450 (}_{1 + 249e}−0.1t ^{) where} N is the number of sheep infected and t is the number of days.

How many sheep are infected at t = 0?
Using a spreadsheet calculate the number of sheep infected after 0, 10, 30 , 50, 70, 100 days)

Will all the sheep become infected eventually? Give reasons to support your answer.

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