1. A community experiences linear population growth at a yearly rate of 3%. The population in 2000 was 27,500; what was the population in 1985? Formula = i= n = Amt. =
1. A community experiences linear population growth at a yearly rate of 3%. The population in 2000 was 27,500; what was the population in 1985? Formula = i= n = Amt. =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![1. A community experiences linear population growth at a yearly rate of 3%. The population
in 2000 was 27,500; what was the population in 1985?
Formula =
i=
n =
Amt. =
2. Alan purchased a jeep 20 years ago; today it is worth $500. The jeep depreciates
at an annual rate of 10%, compounded annually; how much did Alan pay for the jeep?
Formula =
n =
Amt. =
i=
3. Alicia invests $10,000 into a mutual fund that experiences linear grow at an annual
interest rate of 7%. What is the value of her investment in 120 months?
Formula =
i=
n =
Amt. =
4. A community's population increases monthly as a product of its current population and the
periodic growth rate (yearly rate is 3%). The population in 2000 was 27,500; what was the
population in 1990?
Formula =
i=
Amt. =
5. Jay deposits $500 into an investment account having a 7% annual rate of interest. Interest is
added at the time Jay closes his account (120 months from the time of his deposit) and is based on
the amount he deposited. What is the value of the account at closing?
Formula =
i=
n =
Amt. =
1. A = P(1 + in) 2. P=
3. A=P(1 + i) 4. P=
-
5. A=R[(1 + i)ª − 1]
i
6. R=
Ai
(1+i)n-1
7. A =R [¹ − (1 + i)-^]
i
8. R=
Ai
1−(1+i)n
Step 1:
Step 2:
Step 3:
A
(1 + in)
A
(1+i)n
n =
Suppose you are given the scenario:
A community's population increases monthly as a
product of its current population and the periodic
growth rate (yearly rate is 3%). The population in
2000 was 27,500; what was the population in
1990?
What are your 3-step strategies (designed to
reduce the number of formulas by one-half for
each step) when identifying the appropriate
formula/model?
Also, identify the formulas for each step. Do not solve.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff1799000-33ab-4b28-9bb2-f03cfa8defbf%2F8d0e2186-5eb8-47a2-a40d-0d331239e66d%2Fn7z820p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. A community experiences linear population growth at a yearly rate of 3%. The population
in 2000 was 27,500; what was the population in 1985?
Formula =
i=
n =
Amt. =
2. Alan purchased a jeep 20 years ago; today it is worth $500. The jeep depreciates
at an annual rate of 10%, compounded annually; how much did Alan pay for the jeep?
Formula =
n =
Amt. =
i=
3. Alicia invests $10,000 into a mutual fund that experiences linear grow at an annual
interest rate of 7%. What is the value of her investment in 120 months?
Formula =
i=
n =
Amt. =
4. A community's population increases monthly as a product of its current population and the
periodic growth rate (yearly rate is 3%). The population in 2000 was 27,500; what was the
population in 1990?
Formula =
i=
Amt. =
5. Jay deposits $500 into an investment account having a 7% annual rate of interest. Interest is
added at the time Jay closes his account (120 months from the time of his deposit) and is based on
the amount he deposited. What is the value of the account at closing?
Formula =
i=
n =
Amt. =
1. A = P(1 + in) 2. P=
3. A=P(1 + i) 4. P=
-
5. A=R[(1 + i)ª − 1]
i
6. R=
Ai
(1+i)n-1
7. A =R [¹ − (1 + i)-^]
i
8. R=
Ai
1−(1+i)n
Step 1:
Step 2:
Step 3:
A
(1 + in)
A
(1+i)n
n =
Suppose you are given the scenario:
A community's population increases monthly as a
product of its current population and the periodic
growth rate (yearly rate is 3%). The population in
2000 was 27,500; what was the population in
1990?
What are your 3-step strategies (designed to
reduce the number of formulas by one-half for
each step) when identifying the appropriate
formula/model?
Also, identify the formulas for each step. Do not solve.
![Known: 1. Present value 2. Future value 3. Routine deposit/withdrawal
Determine: 4. Present value 5. Future value 6. Routine deposit/withdrawal
Interest added: 7. Once 8. Periodically
Miscellaneous: 9. One time deposit/withdrawal
Which set of conditions listed above apply to the following scenario:
A community's population increases monthly as a product of its current population and the
periodic growth rate (yearly rate is 3%). The population in 2000 was 27,500; what was the
population in 1990? Identify the conditions:
1. A = P(1 + in) 2. P=
3. A=P(1+i)n 4. P=
-
5. A=R[(1 + i) — 1]
i
A
(1 + in)
6. R=
A
(1+i)n
Ai
(1+i)n-1
7. A =R [1-(1+i)n]
8. R=
Ai
1-{1+i)n
Match the formulas (above) to the conditions listed below;
for example: Formula 1: _D.
Formula 1:
Formula 2:
A: Future value is known
One time deposit/withdrawal
Interest added periodically
Determine present value
B: Routine deposit/withdrawal is known
Interest added periodically
Determine present value
C: Future value is known
One time deposit/withdrawal
Interest added once
Determine present value
D: Future value is known
Interest added periodically
Determine routine deposit/withdrawal
Formula 3:
Formula 4:
E: Present value is known
Interest added periodically
Determine routine deposit/withdrawal
F: Present value is known
One time de
withdrawal
Interest added periodically
Determine future value
G: Routine deposit/withdrawal is known
Interest added periodically
Determine future value
H. Present value is known
One time deposit/withdrawal
Interest added once
Determine future value](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff1799000-33ab-4b28-9bb2-f03cfa8defbf%2F8d0e2186-5eb8-47a2-a40d-0d331239e66d%2Fidvgbvhh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Known: 1. Present value 2. Future value 3. Routine deposit/withdrawal
Determine: 4. Present value 5. Future value 6. Routine deposit/withdrawal
Interest added: 7. Once 8. Periodically
Miscellaneous: 9. One time deposit/withdrawal
Which set of conditions listed above apply to the following scenario:
A community's population increases monthly as a product of its current population and the
periodic growth rate (yearly rate is 3%). The population in 2000 was 27,500; what was the
population in 1990? Identify the conditions:
1. A = P(1 + in) 2. P=
3. A=P(1+i)n 4. P=
-
5. A=R[(1 + i) — 1]
i
A
(1 + in)
6. R=
A
(1+i)n
Ai
(1+i)n-1
7. A =R [1-(1+i)n]
8. R=
Ai
1-{1+i)n
Match the formulas (above) to the conditions listed below;
for example: Formula 1: _D.
Formula 1:
Formula 2:
A: Future value is known
One time deposit/withdrawal
Interest added periodically
Determine present value
B: Routine deposit/withdrawal is known
Interest added periodically
Determine present value
C: Future value is known
One time deposit/withdrawal
Interest added once
Determine present value
D: Future value is known
Interest added periodically
Determine routine deposit/withdrawal
Formula 3:
Formula 4:
E: Present value is known
Interest added periodically
Determine routine deposit/withdrawal
F: Present value is known
One time de
withdrawal
Interest added periodically
Determine future value
G: Routine deposit/withdrawal is known
Interest added periodically
Determine future value
H. Present value is known
One time deposit/withdrawal
Interest added once
Determine future value
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