gordon rosel went to his bank to find out how long it will take for $2,300 to amount to $2, 860 simple interest.

We don't know the interest rate!

To find out how long it will take for $2,300 to amount to $2,860 in simple interest, we need to use the formula for simple interest:

Simple Interest = Principal (P) * Rate (R) * Time (T)

Let's rearrange the formula to solve for Time (T):

Time (T) = Simple Interest / (Principal (P) * Rate (R))

In this case, the Principal is $2,300, the Simple Interest is $2,860 - $2,300 = $560 (since the interest is the difference between the final amount and the principal), and the Rate is unknown.

To solve for Rate (R), we need to use the formula for Simple Interest:

Simple Interest = Principal (P) * Rate (R) * Time (T)

Since we know the Principal, Simple Interest, and Time, we can rearrange the formula to solve for Rate:

Rate (R) = Simple Interest / (Principal (P) * Time (T))

In this case, Principal (P) is $2,300, Simple Interest is $560, and Time (T) is unknown.

Now, let's calculate the value of Rate (R):

Rate (R) = $560 / ($2,300 * Time (T))

To find the unknown Time (T), we need to substitute the values we know into the formula:

$560 / ($2,300 * Time (T)) = Rate (R)

Now we need to find the value of Rate (R). Unfortunately, we don't have any information about the interest rate (R), so we can't proceed with the calculation.

To determine the time it will take for $2,300 to amount to $2,860 in simple interest, Gordon Rosel should ask his bank for the interest rate (R) that is being applied to his principal amount of $2,300. With that information, he can then use the formula to solve for Time (T).