Answer:
8
Step-by-step explanation:
8•4=32 it's not that bad
Answer:
solution given:
B.
CE=2×2=4[base side is double to the line of mid point]
AB=15/2=7.5[b is a mid point]
m<AEC=75°[ corresponding angle]
5.
given:
BD=x+1
CE=x+10
we have
2BD=CE
2(x+1)=x+10
2x+2=x+10
2x-x=10-2
x=8
Answer:
Only d) is false.
Step-by-step explanation:
Let
be the characteristic polynomial of B.
a) We use the rank-nullity theorem. First, note that 0 is an eigenvalue of algebraic multiplicity 1. The null space of B is equal to the eigenspace generated by 0. The dimension of this space is the geometric multiplicity of 0, which can't exceed the algebraic multiplicity. Then Nul(B)≤1. It can't happen that Nul(B)=0, because eigenspaces have positive dimension, therfore Nul(B)=1 and by the rank-nullity theorem, rank(B)=7-nul(B)=6 (B has size 7, see part e)
b) Remember that
. 0 is a root of p, so we have that
.
c) The matrix T must be a nxn matrix so that the product BTB is well defined. Therefore det(T) is defined and by part c) we have that det(BTB)=det(B)det(T)det(B)=0.
d) det(B)=0 by part c) so B is not invertible.
e) The degree of the characteristic polynomial p is equal to the size of the matrix B. Summing the multiplicities of each root, p has degree 7, therefore the size of B is n=7.
<span>There is a formula for a loan : A = P * r * ( r + 1 ) ^n / (( r + 1 ) ^n - 1 ), where P is the loan and A is the monthly payment. So P = $4,250 and r = 0.1325 : 12 = 0.011. ( 13.25 % = 0.1325 and we divide it by 12, because the interest is compounded monthly ). A = 4,250 * 0.011 * 1.011^(24) / ( 1.011^(24) - 1 ) = 4,250 * 0.11 * 1.3 / 0.3 = 4,250 * 0.0477; A = $202.55. Finally we have to multiply this sum by 24 : the total finance charge: $202.55 * 24 = $ 4,861.20. Answer: D ) $4,861.20 </span>
Answer: Thanks! It's alright!