To calculate the value of the TV after 8 months of depreciation, we need to apply the monthly depreciation rate of 9% to the original cost of the TV for each month.

Here are the steps:

1. Convert the percentage to a decimal by dividing by 100. So, 9% becomes 0.09.

2. Subtract this from 1 to get the monthly depreciation factor. So, 1 - 0.09 = 0.91.

3. Multiply the original cost of the TV by this depreciation factor for each month.

So, after 1 month, the TV is worth $2740 * 0.91 = $2493.40.

After 2 months, it's worth $2493.40 * 0.91 = $2269.99.

We continue this process for 8 months.

Alternatively, we can use the formula for exponential decay, which is:

Final value = Initial value * (1 - depreciation rate) ^ number of periods

So, after 8 months, the TV is worth:

$2740 * (0.91) ^ 8 = $1378.42

So, the TV is worth $1378.42 after 8 months, to two decimal places.

Question

To calculate the value of the TV after 8 months of depreciation, we need to apply the monthly depreciation rate of 9% to the original cost of the TV for each month.

Here are the steps:

1. Convert the percentage to a decimal by dividing by 100. So, 9% becomes 0.09.

2. Subtract this from 1 to get the monthly depreciation factor. So, 1 - 0.09 = 0.91.

3. Multiply the original cost of the TV by this depreciation factor for each month.

So, after 1 month, the TV is worth $2740 * 0.91 = $2493.40.

After 2 months, it's worth $2493.40 * 0.91 = $2269.99.

We continue this process for 8 months.

Alternatively, we can use the formula for exponential decay, which is:

Final value = Initial value * (1 - depreciation rate) ^ number of periods

So, after 8 months, the TV is worth:

$2740 * (0.91) ^ 8 = $1378.42

So, the TV is worth $1378.42 after 8 months, to two decimal places.

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