Answer:
$6,000 was loaned at 6%
Step-by-step explanation:
Let 'a' represent the amount loaned at 6%. Then the amount of interest from the loans was ...
a·6% + (10000 -a)·16% = 1000
-0.10a +1600 = 1000 . . . . . simplify
600 = 0.10a . . . . . . . . . . . . add 0.10a-1000
6000 = a . . . . . . . . . . . . . . divide by 0.10
The bank loaned $6000 at 6%.
The answer is 4 because k+2 would be 2 then times by 6 which is 12 then subtract 8 would be 4
An integer (from the Latin integer meaning "whole") is a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5 1⁄2, and √2 are not.
Answer:
a) -4
b) 1
c) 1
Step-by-step explanation:
a) The matrix A is given by:
to find the eigenvalues of the matrix you use the following:
where lambda are the eigenvalues and I is the identity matrix. By replacing you obtain:
and by taking the determinant:
and the roots of this polynomial is:
hence, the real eigenvalue of the matrix A is -4.
b) The multiplicity of the eigenvalue is 1.
c) The dimension of the eigenspace is 1 (because the multiplicity determines the dimension of the eigenspace)
Answer:
Dilate Circle A by a scale factor of 3
Step-by-step explanation:
Circle A has a radius of 3, Circle B has a radius of 9. By dilating Circle a by a scale factor of 3, it will make it the same size as Circle B, showing that the two circles are similar.
Rotating and reflecting does nothing because both circles are in the same quadrant and rotating a circle does nothing to the placement.
Translating the circle (x+3, y-2) does not put it in the same place as circle B.