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Sarcosuchus Corporation offers very short-term loans to applicants with low credit ratings. They charge an interest...

Sarcosuchus Corporation offers very short-term loans to applicants with low credit ratings. They charge an interest rate of 0.03333 percent per hour. a. If you borrow $100 from Sarcosuchus, how much will you owe in one week? b. If you borrow $100 from Sarcosuchus, how much will you owe in one month (30 days)? c. What annual rate is Sarcosuchus charging? Hint: Convert the simple hourly rate of 0.03333 percent into simple annual rate.

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Answer #1

a.

The amount in one week is calculated below:

Future value = 100 x (1 + 0.0003333 x 24 x 7)

Future value = 100 x 1.0559

Future value = 105.59

Money owe after 1 week is $105.59 or $106.

b.

The amount in one month is calculated below:

Future value = 100 x (1 + 0.0003333 x 24 x 30)

Future value = 100 x 1.2399

Future value = 123.99

Money owe after 1 month is $123.99 or $124.

c.

Annual rate is calculated below:

Annual rate = 0.0003333 x 24 x 365

Annual rate = 2.9197

Annual rate is 291.97%.

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