Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

The value of a machine, V, at the end of t years is given by V = C(1 - 1)', where is the original cost and r is the rate of depreciation. Find the value of a machine at
the end of 2 years if the original cost was $576 and r = 0.1. Round to the nearest cent.

Sagot :

Answer:

The value of the machine after two years is approximately $466.6

Step-by-step explanation:

The details of the valuation of the machine are;

The function giving the machine value, 'V', is V = [tex]C \cdot (1 - r)^t[/tex]

Where;

C = The original cost of the machine

r = The depreciation rate

t = The time the machine has been in service

When C = $576, r = 0.1, t = 2 years, we have;

[tex]V = 576 \times (1 - 0.1)^2 = 466.56[/tex]

Therefore, the value of the machine that costs $576 having a depreciation of 0.1 after 2 years is, V = $466.58

By rounding to the nearest cent, we have, V = $466.6.

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.