Question

The amount of money a company has in the bank after t years is 180+3t-t² thousand dollars. a. How much did the bank account increase during year 3?

Answer 1

The bank account decreased by $2 during year 3.

Step-by-step explanation:

To find how much the bank account increased during year 3, we need to calculate the bank balance at the end of year 3 and subtract the bank balance at the beginning of year 3.

Bank balance at the end of year 3:

180 + 3(3) - (3)^2 = 180 + 9 - 9 = 180

Bank balance at the beginning of year 3:

180 + 3(2) - (2)^2 = 180 + 6 - 4 = 182

The increase during year 3 is calculated as:

Bank balance at the end of year 3 - Bank balance at the beginning of year 3 = 180 - 182 = -2