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.