Seth invested n dollars into an investment fund last year. After a period of one year, the value of his investment can be represented by the expression 0.84n.
Select the true statement.
here are the options
A.
An equivalent expression that represents this situation is n - 0.16.
B.
An equivalent expression that represents this situation is 1 - 0.16n.
C.
The value of his investment decreased by 16% during this time period.
D.
To determine which statement is true, we need to evaluate the given expression and compare it to the statements.
The given expression is 0.84n, which represents the value of Seth's investment after one year.
Now let's look at the statements:
1) "The value of Seth's investment increased by 84% after one year."
To evaluate whether this statement is true, we need to calculate the percentage increase. We do this by subtracting the initial value (n) from the final value (0.84n), dividing the result by the initial value (n), and then multiplying by 100.
Percentage increase = (0.84n - n) / n * 100 = -0.16n / n * 100 = -16%
Since the percentage increase is -16%, this statement is False.
2) "The value of Seth's investment decreased by 16% after one year."
Similarly, to evaluate whether this statement is true, we need to calculate the percentage decrease.
Percentage decrease = (0.84n - n) / n * 100 = -0.16n / n * 100 = -16%
Since the percentage decrease is -16%, this statement is False.
3) "The value of Seth's investment is 84% of his initial investment after one year."
To evaluate this statement, we need to compare the final value of the investment (0.84n) to the initial investment (n).
Since 0.84n represents 84% of n, this statement is True.
Therefore, the true statement is: "The value of Seth's investment is 84% of his initial investment after one year."
You did not write the answer D.
But:
0.84 n = n - 0.16 n
0.16 n = 16 % of n
The value of his investment decreased by 16% during this time period.