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You need to borrow funds for 2 weeks but can only get a discount loan with a sta

ID: 2752523 • Letter: Y

Question

You need to borrow funds for 2 weeks but can only get a discount loan with a stated rate of interest of 7.5%.

Answer below:

Amount you need in cash:

1. If you need to have $100,000 in cash, how much should you borrow?

2. X - [(.075/52) x 2]X = 100,000

X = 100,000/1- [(.075/52)x2]                        

Solve for X and show your work

(You should get the same answer as the dollar amount in the section of Amount you should borrow above)

Amount you need in cash:

Annual Interest Rate: Length of Loan (weeks): Loan Periods in a Year: Amount you should borrow:

Explanation / Answer

Solution:

X - [(.075/52) x 2]X = 100,000 X = 100,000/1- [(.075/52)x2]  

X = 100,000 / (1-0.00288)

X = $ 100,289.30

Therefore, the answer for thr above equation is $ 100,289.30

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