If $4000 is invested for t years at 8% interest compounded continuously, the future value is given by S = 40000.08 dollars. Complete parts (a) through (c). (a) Graph this function for 0≤t≤15. Choose the correct graph below. 15 15 洱海 B. 34,000 A. 34,000 © C. AS 34,000 (b) Use the graph to estimate when the future value will be $12,000. Choose the correct answer below. B. t≈ 13.73 years A. t≈ 12.73 years (c) Complete the following table. t (Year) S ($) 8 7,585.92 (Round to the nearest whole number as needed.) Complete the following table. t (Year) 5 S ($) 25 (Type an integer or decimal rounded to two decimal places as needed.) D. AS Q 34,000 G 0 15 0+ 0 15 C. t≈ 14.73 years OD. t≈27.46 years Suppose a business purchases equipment for $12,000 and depreciates it over 5 years with the straight-line method until it reaches its salvage value of $2000 (see the figure below). Assuming that the depreciation can be for any part of a year, answer the questions to the right. A Dollars 15,000- 12,000 10,000 10,000- 8000 6000 5000+ 4000 2000 C (a) Write an equation that represents the depreciated value V as a function of the years t. V = 12000 - 2000t (Do not factor.) (b) Write an inequality using t as the variable that indicates that the depreciated value V of the equipment is less than $6000. 12000-2000t 6000 (Do not simplify.) (c) Write an inequality that describes the time t during which the depreciated value is at least half of the original value. Years + + 0 2 4 6 (Do not simplify.)
If $4000 is invested for t years at 8% interest compounded continuously, the future value is given by S = 40000.08 dollars. Complete parts (a) through (c). (a) Graph this function for 0≤t≤15. Choose the correct graph below. 15 15 洱海 B. 34,000 A. 34,000 © C. AS 34,000 (b) Use the graph to estimate when the future value will be $12,000. Choose the correct answer below. B. t≈ 13.73 years A. t≈ 12.73 years (c) Complete the following table. t (Year) S ($) 8 7,585.92 (Round to the nearest whole number as needed.) Complete the following table. t (Year) 5 S ($) 25 (Type an integer or decimal rounded to two decimal places as needed.) D. AS Q 34,000 G 0 15 0+ 0 15 C. t≈ 14.73 years OD. t≈27.46 years Suppose a business purchases equipment for $12,000 and depreciates it over 5 years with the straight-line method until it reaches its salvage value of $2000 (see the figure below). Assuming that the depreciation can be for any part of a year, answer the questions to the right. A Dollars 15,000- 12,000 10,000 10,000- 8000 6000 5000+ 4000 2000 C (a) Write an equation that represents the depreciated value V as a function of the years t. V = 12000 - 2000t (Do not factor.) (b) Write an inequality using t as the variable that indicates that the depreciated value V of the equipment is less than $6000. 12000-2000t 6000 (Do not simplify.) (c) Write an inequality that describes the time t during which the depreciated value is at least half of the original value. Years + + 0 2 4 6 (Do not simplify.)
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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Transcribed Image Text:If $4000 is invested for t years at 8% interest compounded continuously, the future value is given by S = 40000.08 dollars. Complete parts (a) through (c).
(a) Graph this function for 0≤t≤15. Choose the correct graph below.
15
15
洱海
B.
34,000
A.
34,000
©
C.
AS
34,000
(b) Use the graph to estimate when the future value will be $12,000. Choose the correct answer below.
B. t≈ 13.73 years
A. t≈ 12.73 years
(c) Complete the following table.
t (Year) S ($)
8
7,585.92
(Round to the nearest whole number as needed.)
Complete the following table.
t (Year)
5
S ($)
25
(Type an integer or decimal rounded to two decimal places as needed.)
D.
AS
Q
34,000
G
0
15
0+
0
15
C. t≈ 14.73 years
OD. t≈27.46 years
Transcribed Image Text:Suppose a business purchases equipment for $12,000 and depreciates it over 5 years with
the straight-line method until it reaches its salvage value of $2000 (see the figure below).
Assuming that the depreciation can be for any part of a year, answer the questions to the right.
A Dollars
15,000-
12,000
10,000
10,000-
8000
6000
5000+
4000
2000
C
(a) Write an equation that represents the depreciated value V as a function of the years t.
V = 12000 - 2000t
(Do not factor.)
(b) Write an inequality using t as the variable that indicates that the depreciated value V of
the equipment is less than $6000.
12000-2000t 6000
(Do not simplify.)
(c) Write an inequality that describes the time t during which the depreciated value is at
least half of the original value.
Years
+
+
0
2
4
6
(Do not simplify.)
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