Answer:

Answer:

The interest rate was 2.5%.

Step-by-step explanation:

It was not given explicitly if it is for annuity or compound so I thought this is for simple interest.

The formula for simple interest is I = PrtI=Prt where I is the interest, P as the principal, r for the interest rate in decimal form, and t for time in years.

Given:

I = 10,000

P = 200,000

r = ?

t = 2

Let's derive an equation that will solve for the rate r.

I = PrtI=Prt

Divide Pt on both sides to isolate r.

\frac{I}{Pt} = \frac{Prt}{Pt}

Pt

I

=

Pt

Prt

Simplify and we get

\frac{I}{Pt} = r

Pt

I

=r

Switch side and we have the derived equation.

r = \frac{I}{Pt}r=

Pt

I

Let's now solve for the rate r.

r = \frac{I}{Pt}r=

Pt

I

Plug the given values from above.

r = \frac{10,000}{(200,000)(2)}r=

(200,000)(2)

10,000

Evaluate the denominator.

r = \frac{10,000}{400,000}r=

400,000

10,000

Then, divide.

r = 0.025r=0.025

Multiply the answer to 100 to get the rate.

r = 0.025 x 100 = 2.5

Put the percent symbol after it and we are done.

r = 2.5%

Ans: The interest rate was 2.5%.

------------------------------------------------------------

Mark me as brainlys thanks