A business uses straight-line depreciation to determine the value y of a piece of machinery over a 10-year period. Suppose the original value (when t=0) is equal to $40,000 and it’s value is reduced by $4000 each year. Write the linear equation that models the value y of this machinery at the end of year t.

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step-by-step explanation:

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the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

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