Calculate the simple interest on a $100,000 investment at an interest rate of 12 percent a year after 6 months.(1 point)

Responses

$72,000
$72,000

$6,000
$6,000

$7,200,000
$7,200,000

$600,000
$600,000

To calculate the simple interest, we can use the formula:

Simple Interest = (Principal x Interest Rate x Time)

Given that the principal (P) is $100,000, the interest rate (R) is 12% (or 0.12), and the time (T) is 6 months (or 0.5 years), we can plug these values into the formula:

Simple Interest = ($100,000 x 0.12 x 0.5) = $6,000

Therefore, the correct answer is $6,000.

Find the value after five years of a $3,000 savings account that pays 3% interest compounded yearly. Round the answer to two decimal places.(1 point)

$

To calculate the value after five years, we can use the formula for compound interest:

Future Value = Principal x (1 + Interest Rate)^Time

Given that the principal (P) is $3,000, the interest rate (R) is 3% (or 0.03), and the time (T) is 5 years, we can plug these values into the formula:

Future Value = $3,000 x (1 + 0.03)^5

Future Value = $3,000 x (1.03)^5

Future Value ≈ $3,464.10

Therefore, the value after five years of a $3,000 savings account that pays 3% interest compounded yearly is approximately $3,464.10.