Let's analyze the problem step-by-step using the information provided in the table and determine the meaning of each statement.
### Part (a):
Given:
[tex]\[ V(19) = 23.9 \][/tex]
To interpret this:
- [tex]\( V(19) = 23.9 \)[/tex] means that when [tex]\( n = 19 \)[/tex] months, the value of the investment is 23.9 thousand dollars.
Complete Sentence:
The value of this investment is 23.9 thousand dollars after 19 months.
### Part (b):
From the table:
[tex]\[ V(3) = 12.7 \][/tex]
To interpret this:
- [tex]\( V(3) = 12.7 \)[/tex] means that when [tex]\( n = 3 \)[/tex] months, the value of the investment is 12.7 thousand dollars.
Complete Sentence:
The value of this investment is 12.7 thousand dollars after 3 months.
### Part (c):
From the table, we need to find [tex]\( n \)[/tex] such that [tex]\( V(n) = 12 \)[/tex]:
[tex]\[ V(2) = 12 \][/tex]
To interpret this:
- [tex]\( V(2) = 12 \)[/tex] means that when [tex]\( n = 2 \)[/tex] months, the value of the investment is 12 thousand dollars.
Complete Sentence:
The value of this investment is 12 thousand dollars after 2 months.
Combining all the parts together, we have:
- (a) The value of this investment is 23.9 thousand dollars after 19 months.
- (b) The value of this investment is 12.7 thousand dollars after 3 months.
- (c) The value of this investment is 12 thouand dollars after 2 months.
