Winston has just received his monthly credit card statement. He placed 7 charges on his card in the last month with a mean of \( \$ 21.09 \) per charge. He knows that 6 of the charges were as follows: Determine the amount of the \( 7^{\text {th }} \) charge. \( \$ 21.49, \$ 22.40, \$ 17.40, \$ 21.76, \$ 15.86, \$ 16.40 \) Copy Data

To find the amount of the \( 7^{\text{th}} \) charge, we can first calculate the total charges based on the mean. Since there are 7 charges and the mean charge is \( \$ 21.09 \), we can find the total by multiplying the mean by the number of charges: \[ \text{Total charges} = 7 \times 21.09 = \$ 147.63 \] Next, we need to calculate the sum of the 6 known charges: \[ \$ 21.49 + \$ 22.40 + \$ 17.40 + \$ 21.76 + \$ 15.86 + \$ 16.40 = \$ 115.31 \] Now, we can find the \( 7^{\text{th}} \) charge by subtracting the total of the 6 charges from the total charges: \[ \text{7th charge} = 147.63 - 115.31 = \$ 32.32 \] So, the amount of the \( 7^{\text{th}} \) charge is \( \$ 32.32 \).