I need Question No: 4 Just Exponential Word Problems: Growth & DecayGrowth Formula: y = a (1 + r)Decay Formula: y = a (1- r)where a = original number; r= rate (% in decimal form); t= time periods%3DWrite an exponential function to model pach situation. Find each amount at the endof the specified time. Round your answềrs to the nearest whole number.1. A town with a population of 5,000 grows 3% per year. Find the population at the end of10 years.2. Amy makes an initial investment of $5000. The investment loses 13.5% each year.Find the amount Amy has at the end of 8 years.3. Suppose you deposit $1000 in a college fund that pays 7.2% interest compoundedannually. Find the account balance after 5 years.4. Suppose the account in #3 above paid interest quarterly instead of annually. Find theaccount balance after 5 years.5. The population of Boomtown is 475,000 and is increasing at a rate of 3.75% each year.When will the population exceed 1 million people (to the nearest year)?6. The population of Leavetown is 123,000 and is decreasing at a rate of 2.375% eachyear.When will the population of Leavetown drop below 50,000 (to the nearest year)?What will the population of Leavetown be 100 years from now?

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Description: I need Question No: 4 Just Exponential Word Problems: Growth & DecayGrowth Formula: y = a (1 + r)Decay Formula: y = a (1- r)where a = original number; r= rate (% in decimal form); t= time periods%3DWrite an exponential function to model pach situatio

A) You deposit $1000 in a college fund that pays 7.2% interest compound quarterly. Here a = original…

Answered: 4. Suppose the account in #3 above paid…

Math

Advanced Math

4. Suppose the account in #3 above paid interest quarterly instead of annually. Find the account balance after 5 years.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.

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Question

I need Question No: 4 Just

Exponential Word Problems: Growth & Decay
Growth Formula: y = a (1 + r)
Decay Formula: y = a (1- r)
where a = original number; r= rate (% in decimal form); t= time periods
%3D
Write an exponential function to model pach situation. Find each amount at the end
of the specified time. Round your answềrs to the nearest whole number.
1. A town with a population of 5,000 grows 3% per year. Find the population at the end of
10 years.
2. Amy makes an initial investment of $5000. The investment loses 13.5% each year.
Find the amount Amy has at the end of 8 years.
3. Suppose you deposit $1000 in a college fund that pays 7.2% interest compounded
annually. Find the account balance after 5 years.
4. Suppose the account in #3 above paid interest quarterly instead of annually. Find the
account balance after 5 years.
5. The population of Boomtown is 475,000 and is increasing at a rate of 3.75% each year.
When will the population exceed 1 million people (to the nearest year)?
6. The population of Leavetown is 123,000 and is decreasing at a rate of 2.375% each
year.
When will the population of Leavetown drop below 50,000 (to the nearest year)?
What will the population of Leavetown be 100 years from now?

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When the interest is calculated quarterly then the time period will be 4n ,where n=number of years.

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