A business owes $8000 on a loan. Every month, the business pays 1/2 of the amount remaining on the loan. How much will the business pay in the sixth month?

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Answer:

125

Step-by-step explanation: 8000 divided by 2 is 4000. So they paid 4000 in the first month. You do that same equation 6 times dividing the remainder by 2 each time.


The business pay in the sixth month is $125.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

A business owes $8000 on a loan.

Every month, the business pays 1/2 of the amount remaining on the loan.

For first month,

⇒ [tex]\frac{8000}{2}=4000[/tex]

For second month,

⇒ [tex]\frac{4000}{2}=2000[/tex]

For third month,

⇒ [tex]\frac{2000}{2}=1000[/tex]

For fourth month,

⇒ [tex]\frac{1000}{2}=500[/tex]

For fifth month,

⇒ [tex]\frac{500}{2}=250[/tex]

For sixth month,

⇒ [tex]\frac{250}{2}=125[/tex]

Hence we can conclude that the business pay in the sixth month is $125.

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