A farmer depreciates a $120,000 tractor. He estimates that the resale value V t in $1000 of the tractor t years after purchase is 80 % of its value from the previous year. Therefore, the resale value can be approximated by V t = 120 0.8 t . a. Find the resale value 5 yr after purchase. Round to the nearest $1000 . b. The farmer estimates that the cost to run the tractor is $ 18 / hr in labor, $36 / hr in fuel, and $22 / hr in overhead colts (for maintenance and repair). Estimate the farmer's cost to run the tractor for the first year if he runs the tractor for a total of 800 hr. Include hourly costs and depreciation.
A farmer depreciates a $120,000 tractor. He estimates that the resale value V t in $1000 of the tractor t years after purchase is 80 % of its value from the previous year. Therefore, the resale value can be approximated by V t = 120 0.8 t . a. Find the resale value 5 yr after purchase. Round to the nearest $1000 . b. The farmer estimates that the cost to run the tractor is $ 18 / hr in labor, $36 / hr in fuel, and $22 / hr in overhead colts (for maintenance and repair). Estimate the farmer's cost to run the tractor for the first year if he runs the tractor for a total of 800 hr. Include hourly costs and depreciation.
A farmer depreciates a
$120,000
tractor. He estimates that the resale value
V
t
in $1000
of the tractor t years after purchase is
80
%
of its value from the previous year. Therefore, the resale value can be approximated by
V
t
=
120
0.8
t
.
a. Find the resale value 5 yr after purchase. Round to the nearest
$1000
.
b. The farmer estimates that the cost to run the tractor is
$
18
/
hr
in labor,
$36
/
hr
in fuel, and
$22
/
hr
in overhead colts (for maintenance and repair). Estimate the farmer's cost to run the tractor for the first year if he runs the tractor for a total of 800 hr. Include hourly costs and depreciation.
1. Given the vector field F(x, y, z) = -zi, verify the relation
1
VF(0,0,0) lim
+0+ volume inside S
ff F• Nds
S.
where S, is the surface enclosing a cube centred at the origin and having edges of length 2€. Then,
determine if the origin is sink or source.
Let a = (-4, 5, 4) and 6 = (1,0, -1).
Find the angle between the vector
1) The exact angle is cos
2) The approximation in radians is
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
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