The requirement for computer server capacity at Acme Industries is expected to increase at a rate of 11% per year for the next 7 years. If the server capacity is expected to be 1,200 gigabytes in 7 years, how many gigabytes of capacity are there today? Round to the nearest whole gigabyte.

To find the current server capacity at Acme Industries, we need to calculate the starting point and then apply the 11% increase for each year.

Let's denote the current server capacity as X (in gigabytes).

After 7 years, the expected server capacity is 1,200 gigabytes.

We know that the capacity is expected to increase at a rate of 11% per year. This means that after one year, the capacity will be X + 0.11X = 1.11X. After two years, it will be 1.11X + 0.11(1.11X) = 1.11(1 + 0.11)X = 1.11^2X. Following the same pattern, after 7 years, the capacity will be 1.11^7X.

We are given that 1.11^7X = 1,200.

To find X, we need to divide both sides of the equation by 1.11^7: X = 1,200 / 1.11^7.

Now we can calculate the answer:

X = 1,200 / 1.11^7
X ≈ 558.05

Therefore, the current server capacity at Acme Industries is approximately 558 gigabytes.