As compared to its first year of operation, ABC Company grew 8% in the second year and an additional 2% per year for the next two years. If total growth for years 2-4 was $45,000 over the first year’s sales of $150,000, how much did ABC Company grow in year 2?

To find out how much ABC Company grew in year 2, we need to calculate the growth rate of year 2.

First, we need to calculate the growth rate for the second year. The company grew 8% in the second year. We can calculate this growth by multiplying the first year's sales ($150,000) by 8% (or 0.08):

$150,000 * 0.08 = $12,000

Therefore, ABC Company grew by $12,000 in the second year.

To find out how much ABC Company grew in year 2, we need to find the percentage growth for year 2 first.

Let's assume the growth in year 2 is represented by 'x'.

So, the total sales in year 2 would be (100% + 8%) * Year 1 sales.

Therefore, the sales in year 2 would be 108% of the Year 1 sales or (1 + 0.08) * $150,000.

Sales in year 2 = 1.08 * $150,000 = $162,000.

Now, we can calculate the sales in year 4:

Sales in year 4 = (1 + 0.08 + 0.02 + 0.02) * Year 1 sales
= 1.12 * $150,000
= $168,000.

Now, we can find the total growth for years 2-4 by subtracting Year 1 sales from sales in year 4:

Total growth for years 2-4 = Sales in year 4 - Year 1 sales
= $168,000 - $150,000
= $18,000.

However, we are given that the total growth for years 2-4 is $45,000.

Since we know the growth for year 2 is 'x', and the total growth for years 2-4 is $45,000, we can form the equation:

x + $18,000 = $45,000.

Solving for 'x', we get:

x = $45,000 - $18,000
= $27,000.

Therefore, ABC Company grew $27,000 in year 2.