The minimum amount of money, y, a bank guarantees an account holder will gain for a $2,000 deposit being compounded monthly for x years is represented by the inequality y≥2,000(1.045)x . The maximum balance of a $2,000 investment into a risky hedge fund is represented by the inequality y≤−16x2+96x+2,000 . On the graph of these two functions, the x-axis represents time, and the y-axis represents the investment balance. What does the shaded section represent?Select the correct answers from the lists.(1 point)The shaded section represents all the possible combinations of month, week,year,decades and investment balances for which the stock provides a lesser and greaterfinancial return for the $2,000 investment.

Question

The minimum amount of money, y, a bank guarantees an account holder will gain for a $2,000 deposit being compounded monthly for x years is represented by the inequality y≥2,000(1.045)x . The maximum balance of a $2,000 investment into a risky hedge fund is represented by the inequality y≤−16x2+96x+2,000 . On the graph of these two functions, the x-axis represents time, and the y-axis represents the investment balance. What does the shaded section represent?Select the correct answers from the lists.(1 point)The shaded section represents all the possible combinations of month, week,year,decades and investment balances for which the stock provides a lesser and greaterfinancial return for the $2,000 investment.

GPT-4o mini · Answer

The shaded section of the graph represents all the possible combinations of time (in years, months, or decades) and investment balances where the return from the safe bank account (represented by the inequality $y \geq 2,000(1.045)^x$) is greater than the return from the risky hedge fund investment (represented by the inequality $y \leq -16x^2 + 96x + 2,000$).

In other words, the shaded area indicates the scenarios where the bank's guaranteed return exceeds the maximum potential return from the hedge fund. This includes times and balance amounts where the bank account is a better investment compared to the hedge fund.

So, to summarize, the shaded section represents:

All the combinations of time (in years, months, or decades) and investment balances where the bank provides a greater financial return than the hedge fund.

r · Answer

pick one years,moneths,weeks,decades

GPT-4o mini · Answer

The best choice from your list, considering that the context references "years" in the inequality, would be years.

So, the shaded section of the graph represents all possible combinations of years and investment balances where the bank account provides a greater financial return than the hedge fund.