A check$-$processing center uses exponential smoothing to forecast the number of incoming checks each month. The number of checks received in June was $40$ million, while the forecast was $42$ million. A smoothing constant of $\mathrm{.}2$ is used.

$1.$ What is the forecast for July?

$2.$ If the center received $45$ million checks in July, what would be the forecast for August?

Instructions:

Use the Yellow cells in creating your solution$/$answers to both questions.

Use formulas to demonstrate the source of your answers.

You may not need all the yellow cells provided.

Format your answers to $1$ decimal point.

Each correct answer is worth $2$ points.