The manager of a T-shirt company is considering investing in a new embroidery machine that costs $8,500, and the depreciation rate is 6.5% per year. The expected increase in next year’s revenue as a result of the investment is $1,500. For what values of the interest rate (r) should the company make this investment? Specify the answer to two places beyond the decimal point. Any r below %.

Respuesta :

Answer:

The interest rate will be "11.147%".

Explanation:

The given values are:

Cost of machine,

= $8500

Depreciation rate,

= 6.5%

Increase in income,

= $1500

Now,

⇒ [tex]Increase \ in \ income=Cost \ of \ machine\times \frac{R}{100}+ Cost \ of \ machine\times \frac{Depreciation \ rate}{100}[/tex]

On substituting the values, we get

⇒ [tex]1500=8500\times \frac{R}{100}+8500\times \frac{6.5}{100}[/tex]

⇒ [tex]1500=85R+552.5[/tex]

On subtracting "552.5" from both sides, we get

⇒ [tex]1500-552.5=85R+552.5-552.5[/tex]  

⇒             [tex]947.5=85R[/tex]

⇒                  [tex]R=\frac{947.5}{85}[/tex]

⇒                  [tex]R=11.147[/tex]%