Let the value of the vehicle be described by the equation
V = a + bx
where x = number of years since purchase
a,b are constants.
When x = 0, V = $7500. Therefore
a + b*0 = 7500
a = 7500
When x = 7, V = $500. Therefore
7500 + 7b = 500
7b = 500 -7500 = -7000
b = -7000/7 = -1000
The equation is
V = 7500 - 1000x
The slope of this equation is the depreciation rate, and it is -$1000 per year.
Answer: $1000 depreciation per year.
Answer:
r(t) and s(t) are parallel.
Step-by-step explanation:
Given that :
the lines represented by the vector equations are:
r(t)=⟨1−t,3+2t,−3t⟩
s(t)=⟨2t,−3−4t,3+6t⟩
The objective is to determine if the following lines represented by the vector equations below intersect, are parallel, are skew, or are identical.
NOTE:
Two lines will be parallel if
here;
Thus;
∴
Hence, we can conclude that r(t) and s(t) are parallel.
Answer:
The surface are of a box = 1186.92 mm²
Step-by-step explanation:
Given in question as :
Diameter of cylinder = 18 mm
The height of cylinder = 12 mm
The surface area of cylinder = ( 2××r×h) + (2××r²)
where R is the radius , R = =
Or Radius r = 9 mm
Or, The surface area of cylinder= ( 2××9×12) + 2××(9)²)
Or , The surface area of cylinder=(678.24) + (508.68)
Or ,The surface area of cylinder= 1186.92 mm²
Hence the surface are of a box = 1186.92 mm² Answer