Order the situations from the account that yields the greatest amount to one that yields the least amount.

Situation A: You invest $500 in an account at a 12% interest rate, compounded monthly, for 12 years.

Situation B: You invest $500 in an account at a 10% interest rate, compounded quarterly, for 15 years.

Situation C: You invest $500 in an account at a 15% interest rate, compounded annually, for 10 years.

Order from the greatest yield to the least as follows

1. Situation B=$2,119.8949

2. Situation A=$2,095.3078

3. Situation C=$2,022.7789

Step-by-step explanation:

Situation A

A=P (1+r/n) ^nt

=500 (1+0.12/12) ^12*12

=500 (1+0.01) ^144

=500 (1.01) ^144

=500 (4.1906155936008)

=$2,095.3078

Situation B

A=P (1+r/n) ^nt

=500 (1+0.1/4) ^4*15

=500 (1+0.025) ^60

=500 (1.025) ^60

=500 (4.3997897488150)

=$2119.8949

Situation C

A=P (1+r) ^t

=500 (1+0.15) ^10

=500 (1.15) ^10

=500 (4.0455577357079)

=$2022.7789

Order from the greatest yield to the least as follows

1. Situation B=$2,119.8949

2. Situation A=$2,095.3078

3. Situation C=$2,022.7789