Answer:
$2,954.91
Step-by-step explanation:
interest = (principal) × (interest rate) × (term)
Interest = $2000 * 0.05 * 8
interest = $2,954.91
5% / 100 = 0.05
Answer:
About 7:45
Step-by-step explanation:
7:40 OR 7:45 because sometimes the traffic light takes a while but 7:45 is best.
Direction vector of line of intersection of two planes is the cross product of the normal vectors of the planes, namely
p1: x+y+z=2
p2: x+7y+7z=2
and the corresponding normal vectors are: (equiv. to coeff. of the plane)
n1:<1,1,1>
n2:<1,7,7>
The cross product n1 x n2
vl=
i j l
1 1 1
1 7 7
=<7-7, 1-7, 7-1>
=<0,-6,6>
Simplify by reducing length by a factor of 6
vl=<0,-1,1>
By observing the equations of the two planes, we see that (2,0,0) is a point on the intersection, because this points satisfies both plane equations.
Thus the parametric equation of the line is
L: (2,0,0)+t(0,-1,1)
or
L: x=2, y=-t, z=t
Answer:
x^3+3x^2+9x+27
Step-by-step explanation:
_____
The factoring of the difference of squares is used (twice):
a² -b² = (a -b)(a +b)
