Compute the amount of interest earned in the following simple interest problem. A deposit of $5,000 at 8.5% for 120 days = _____.

$140.25

$1,402.50

$14,025

$51,000

Verified Answer :

bcalle

I = p r t
I = 5000 .085 (1/3)
I = 140.25

Answer:

Option (a) is correct.

The  amount of interest earned in the given simple interest problem is $140.25

Step-by-step explanation:

Given : A deposit of $5,000 at 8.5% for 120 days.

We have to calculate the  amount of interest earned in the given simple interest problem.

Using Simple interest formula,

\(SI=\frac{P \times r\times t}{100}\)

Where SI denotes simple interest

P denotes principal

R denotes rate of interest

t denotes time period.

Thus,

Given : P = $5,000

r=  8.5%

t =  120 days  

1 year = 365 days.

So , 120 days = @@MATH_TOKEN_1@@ year.

Substitute, we get,

@@MATH_TOKEN_2@@

@@MATH_TOKEN_3@@

On simplify, we get,

SI =$ 139.72

Thus, out of given options nearest value is $140.25 (approx)

Thus, the  amount of interest earned in the given simple interest problem is $140.25