WORK TO RECEIVE QUESTION 1 In 2010, the enrollment at Mainland High School was 1890 students. Administrators predict that the enrollment will decrease by 2.4% each year. a) Define a function h that determines student enrollment in terms of the number of years, t, since 2010. exponential decay [h1890 (1-0.024) f(x) = a (1-r) *

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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I don't know how to solve #1 part b-c nor do I know how to solve question 2 is there a formula I have to use and if so jow do I use it

For question 3 I don't know how to get the answer

WEEK 5 WRITTEN HOMEWORK
SHOW ALL WORK TO RECEIVE CREDIT
Adrian Lewis
QUESTION 1
In 2010, the enrollment at Mainland High School was 1890 students. Administrators predict that the
enrollment will decrease by 2.4% each year.
a) Define a function h that determines student enrollment in terms of the number of years, t, since
2010.
exponential decay h=890 (1-0.024)
f(x) = a (1-r) *
b) Determine when the enrollment at Mainland High School is expected to reach 1724 students.
c) Define a function h-¹ that gives the number of years since 2010 in terms of student enrollment.
QUESTION 2
The amount of an investment is represented by g(t) = 4912.17(1.24). Algebraically, determine when (in
compounding periods t ) the investment will reach $1,500,000.
Transcribed Image Text:WEEK 5 WRITTEN HOMEWORK SHOW ALL WORK TO RECEIVE CREDIT Adrian Lewis QUESTION 1 In 2010, the enrollment at Mainland High School was 1890 students. Administrators predict that the enrollment will decrease by 2.4% each year. a) Define a function h that determines student enrollment in terms of the number of years, t, since 2010. exponential decay h=890 (1-0.024) f(x) = a (1-r) * b) Determine when the enrollment at Mainland High School is expected to reach 1724 students. c) Define a function h-¹ that gives the number of years since 2010 in terms of student enrollment. QUESTION 2 The amount of an investment is represented by g(t) = 4912.17(1.24). Algebraically, determine when (in compounding periods t ) the investment will reach $1,500,000.
WEEK 5 WRITTEN HOMEWORK
SHOW ALL WORK TO RECEIVE CREDIT
Adrian Lewis
QUESTION 1
In 2010, the enrollment at Mainland High School was 1890 students. Administrators predict that the
enrollment will decrease by 2.4% each year.
a) Define a function h that determines student enrollment in terms of the number of years, t, since
2010.
exponential decay h=890 (1-0.024)
f(x) = a (1-r) *
b) Determine when the enrollment at Mainland High School is expected to reach 1724 students.
c) Define a function h-¹ that gives the number of years since 2010 in terms of student enrollment.
QUESTION 2
The amount of an investment is represented by g(t) = 4912.17(1.24). Algebraically, determine when (in
compounding periods t ) the investment will reach $1,500,000.
Transcribed Image Text:WEEK 5 WRITTEN HOMEWORK SHOW ALL WORK TO RECEIVE CREDIT Adrian Lewis QUESTION 1 In 2010, the enrollment at Mainland High School was 1890 students. Administrators predict that the enrollment will decrease by 2.4% each year. a) Define a function h that determines student enrollment in terms of the number of years, t, since 2010. exponential decay h=890 (1-0.024) f(x) = a (1-r) * b) Determine when the enrollment at Mainland High School is expected to reach 1724 students. c) Define a function h-¹ that gives the number of years since 2010 in terms of student enrollment. QUESTION 2 The amount of an investment is represented by g(t) = 4912.17(1.24). Algebraically, determine when (in compounding periods t ) the investment will reach $1,500,000.
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