(Round your response to the nearest If a lender makes a simple loan of $800 for 5 years and charges 5%, then the amount that the lender receive at maturity is $ two decimal place) If a lender makes a simple loan of $2500 for one year and charges $70 interest, then the simple interest rate on that loan is % (Round your response to the nearest whole number) If a borrower must repay $106.50 one year from today in order to receive a simple loan of $100 today, the simple interest on this loan is O A. 6.5% B. 6.0% OC. 65% OD 5.0%

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Answer:

Step-by-step explanation:

Here we use the formula for simple interest as

Simple interest = [tex]\frac{PNR}{100}[/tex]

P stands for principal, N = no of years and r = rate of interest.

i)Here [tex]P = 800: n=5 \\ r= 5 p.c\\SI =\frac{800(5)(5)}{100} =200[/tex] dollars

ii) Here [tex]P = 2500: n=1 and r= ?: Si = 70[/tex]

[tex]\frac{2500(1)(r)}{100} =70\\r=\frac{70}{25} =2.8[/tex] percent

iii) [tex]P = 100: n=1 and r= ?: \\P+Si = 106.50\\Interest = 106.50-100\\=6.50[/tex]

Thus simple interest = 6.50

[tex]\frac{100(1)(r)}{100} =6.50\\r = 6.5[/tex]

Option A is right

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