The combined yearly interest for x dollars invested at 12% and 25,000- x dollars invested at 8% is

.12x + .08(25000-x) = .04x + 2000

Well, well, well, it seems like we've got a little math problem on our hands. Don't worry, I'm here to clown around and help you out!

To find the combined yearly interest, we need to add up the interest from both investments at their respective rates. So let's get to it!

The interest at 12% for x dollars is just 0.12x, because 12% can be written as 0.12.

The interest at 8% for (25,000 - x) dollars is 0.08(25,000 - x), because 8% is equal to 0.08.

Now, to find the combined yearly interest, we just add those two expressions together:

0.12x + 0.08(25,000 - x)

There you have it! That's the combined yearly interest for your investments. I hope my math skills didn't clown around too much!

To find the combined yearly interest for two different amounts invested at different interest rates, you can use the formula:

Interest = (Principal)(Rate)(Time)

Let's break down the steps:

Step 1: Calculate the interest from the first investment at 12%
Interest1 = (x)(0.12)

Step 2: Calculate the interest from the second investment at 8%
Interest2 = (25,000 - x)(0.08)

Step 3: Calculate the combined yearly interest by adding the two interests together
Combined Interest = Interest1 + Interest2

So, the combined yearly interest for x dollars invested at 12% and (25,000 - x) dollars invested at 8% is:

Combined Interest = (x)(0.12) + (25,000 - x)(0.08)

To calculate the combined yearly interest, you need to find the interest earned from each investment and then add them together.

Let's break down the problem step by step.

Step 1: Calculate the interest earned from the first investment at 12%.

The formula to calculate interest is: Interest = Principal * Rate * Time.

In this case, the principal is x dollars, the rate is 12% or 0.12 (in decimal form), and the time is 1 year.

So, the interest earned from the first investment is: Interest1 = x * 0.12 * 1 = 0.12x.

Step 2: Calculate the interest earned from the second investment at 8%.

The principal for the second investment is (25,000 - x) dollars, the rate is 8% or 0.08, and the time is 1 year.

So, the interest earned from the second investment is: Interest2 = (25,000 - x) * 0.08 * 1 = 0.08(25,000 - x).

Step 3: Calculate the combined yearly interest.

To find the total interest earned, you need to add the interest from both investments together.

Combined Yearly Interest = Interest1 + Interest2 = 0.12x + 0.08(25,000 - x)

Simplifying the equation:
Combined Yearly Interest = 0.12x + 0.08(25,000) - 0.08x
= 0.12x + 2,000 - 0.08x
= 0.04x + 2,000

Therefore, the combined yearly interest for the two investments is 0.04x + 2,000.