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the local pet store bought 6 new aviary environment bird cages at a cost of $840. The owner borrowed 90% of the cost of the cages at an interest rate of 9.5%. Find the total amount owed at the end of 2 5/6 yrs using simple interest.

Respuesta :

Answer: Total amount owed at the end of [tex]2\frac{5}{6}=\frac{17}{6}\ years[/tex] will be $959.49.

Step-by-step explanation:

Since we have given that

Number of new aviary environment bird cages = 6

Cost of bird cages = $840

As we have given that 90% of the cost of the cages at an interest rate of 9.5%.

i.e.

[tex]\frac{90}{100}\times 840\\\\=\$756[/tex]

So, after [tex]2\frac{5}{6}=\frac{17}{6}\ years[/tex] , the total amount will be

[tex]I=\frac{P\times R\times T}{100}\\\\I=\frac{756\times 9.5\times \17}{6\times 100}=\$203.49[/tex]

Now, we know that

[tex]Amount=Principal+interest\\\\Amount=756+203.49\\\\Amount=\$959.49[/tex]

Hence, total amount owed at the end of [tex]2\frac{5}{6}=\frac{17}{6}\ years[/tex] will be $959.49.

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