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Answer:

The value of the machinery after 5 years is $236.20

Step-by-step explanation:

Generally, we have the depreciation exponential expression as;

V(t) = I (1 - r)^t

V(t) is the value of the machinery at a point in time

I is the initial value or the cost of the machinery when bought which is $400

r is the rate of decrease which is 10% and is same as 10/100 = 0.1

t is the time which is 5 years

Substituting these values;

V(5) = 400( 1 - 0.1)^5

V(5) = 236.196

to the nearest vent, this is $236.20