Harley-Davidson Inc. manufactures motorcycles. During the years following 2018 (the company's 115th anniversary year), the company's gross income can be approximated ¹ by 1.97 -0.13t billion dollars per year, where t is time in years since January 1, 2018. Assume this rate holds through January 1, 2023, and assume a continuous interest rate of 2.1% per year. (a) What was the income of the Harley-Davidson Company in 2018 (t = 0)? What is the projected gross income in 2022 (t = 4)? The gross income in 2018 was 1.97 billion dollars. The projected gross income in 2022 is 1.45 (b) What was the present value, on January 1, 2018, of Harley-Davidson's gross income for the four years from January 1, 2018 to January 1, 2022? Round your answer to two decimal places. ! billion dollars i billion dollars. (c) What is the future value, on January 1, 2022, of the gross income for the preceding 4 years? ! billion dollars
Harley-Davidson Inc. manufactures motorcycles. During the years following 2018 (the company's 115th anniversary year), the company's gross income can be approximated ¹ by 1.97 -0.13t billion dollars per year, where t is time in years since January 1, 2018. Assume this rate holds through January 1, 2023, and assume a continuous interest rate of 2.1% per year. (a) What was the income of the Harley-Davidson Company in 2018 (t = 0)? What is the projected gross income in 2022 (t = 4)? The gross income in 2018 was 1.97 billion dollars. The projected gross income in 2022 is 1.45 (b) What was the present value, on January 1, 2018, of Harley-Davidson's gross income for the four years from January 1, 2018 to January 1, 2022? Round your answer to two decimal places. ! billion dollars i billion dollars. (c) What is the future value, on January 1, 2022, of the gross income for the preceding 4 years? ! billion dollars
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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Question
![Harley-Davidson Inc. manufactures motorcycles. During the years following 2018 (the company's 115th anniversary year), the
company's gross income can be approximated ¹ by 1.97 -0.13t billion dollars per year, where t is time in years since January 1, 2018.
Assume this rate holds through January 1, 2023, and assume a continuous interest rate of 2.1% per year.
(a) What was the income of the Harley-Davidson Company in 2018 (t = 0)? What is the projected gross income in 2022 (t = 4)?
The gross income in 2018 was 1.97
billion dollars.
The projected gross income in 2022 is 1.45
(b) What was the present value, on January 1, 2018, of Harley-Davidson's gross income for the four years from January 1, 2018 to
January 1, 2022?
Round your answer to two decimal places.
i
billion dollars.
! billion dollars
i
(c) What is the future value, on January 1, 2022, of the gross income for the preceding 4 years?
! billion dollars](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9415a84-b266-463d-bec0-f01f9195f91a%2Fb5f40e97-23a2-4a49-9368-ecfcccafe31a%2Fskvu0iv_processed.png&w=3840&q=75)
Transcribed Image Text:Harley-Davidson Inc. manufactures motorcycles. During the years following 2018 (the company's 115th anniversary year), the
company's gross income can be approximated ¹ by 1.97 -0.13t billion dollars per year, where t is time in years since January 1, 2018.
Assume this rate holds through January 1, 2023, and assume a continuous interest rate of 2.1% per year.
(a) What was the income of the Harley-Davidson Company in 2018 (t = 0)? What is the projected gross income in 2022 (t = 4)?
The gross income in 2018 was 1.97
billion dollars.
The projected gross income in 2022 is 1.45
(b) What was the present value, on January 1, 2018, of Harley-Davidson's gross income for the four years from January 1, 2018 to
January 1, 2022?
Round your answer to two decimal places.
i
billion dollars.
! billion dollars
i
(c) What is the future value, on January 1, 2022, of the gross income for the preceding 4 years?
! billion dollars
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