an investment club placed $33,000 into two simple interest accounts. On one account, the annual simple intrest rate is 9.5%. On the other, the simple interest rate is 1.5%. How much should be invested in each account so that both accounts earn the same annual interest?

Acc. #1: Po1 = $X @ 9.5%.

Acc. #2: Po2 = $(33,000-X) @ 1.5%.

Po1*r1*t = Po2*r2*t.
X*0.095*1 = (33,000-X)*0.015*1.
0.095x = 49.5 - 0.015x.
0.11x = 495.
X = $4500.

33000-X = 33000-4500 == $28,500.

Correction: Change 49.5 to 495.

To determine how much should be invested in each account so that both accounts earn the same annual interest, we need to set up an equation.

Let's assume that the amount invested in the account with a 9.5% interest rate is x dollars. On the other hand, the amount invested in the account with a 1.5% interest rate will be $33,000 - x (since the total amount invested is $33,000).

Now, let's calculate the interest earned on each account:

Interest earned on the account with a 9.5% interest rate: 0.095x (since a 9.5% interest rate is equal to 0.095 in decimal form).

Interest earned on the account with a 1.5% interest rate: 0.015($33,000 - x) (since a 1.5% interest rate is equal to 0.015 in decimal form).

Since we want both accounts to earn the same annual interest, we can set up the following equation:

0.095x = 0.015($33,000 - x)

To solve this equation, we can simplify it:

0.095x = 0.015($33,000 - x)
0.095x = 495 - 0.015x (simplify the right side of the equation by distributing)
0.095x + 0.015x = 495 (combine like terms)
0.11x = 495 (add the x terms on the left side)
x = 495 / 0.11 (divide both sides by 0.11)
x ≈ 4500 (simplify the right side of the equation)

Therefore, approximately $4,500 should be invested in the account with a 9.5% interest rate, and the remaining amount, $33,000 - $4,500 = $28,500, should be invested in the account with a 1.5% interest rate.

I've never taken a course that explores the University of North Dakota, so can't help you. (This, however, looks like a math question. You might want to put that in the SCHOOL SUBJECT line so a math tutor will see it.)