Given that Dan bought a home theater system for $178.99 on the installment plan, and the terms of the contract is such that he will pay $35 in 6 months.
The total amount he paid by the end of the term will be:
amount=(monthly payment)*(number of months)
=35*6
=$210
b] Dan's Finance charge will be given by:
(total amount he paid)-(price of home theater)
=210-178.99
=$31.01
4,950×3=1650
1650÷100=16.5
his commission is $16.5
Answer:
Just substitute "x" with "3".
Step-by-step explanation:
y = 2.4x + 3.1
y = 2.4(3) +3.1
y = 7.2 + 3.1
y= 10.3
Answer: 10.3 minutes
Both expression have the same denominator: 9x²-1. Thus it must not be 0.
9x²-1=(3x-1)(3x+1)=0, resulting x=+-1/3.
Restrictions: x in R\{-1/3, 1/3}
Adding those expressions:
E=(-x-2)/(9x²-1 ) + (-5x+4)/(9x²-1)=
(-x-2-5x+4)/(9x²-1)=(-6x+2)/(9x²-1)=
(-2)(3x-1)/(9x²-1)=-2/(3x+1)
E=-2/(3x+1)
<span> I am assuming you want to prove:
csc(x)/[1 - cos(x)] = [1 + cos(x)]/sin^3(x).
</span>
<span>If we multiply the LHS by [1 + cos(x)]/[1 + cos(x)], we get:
LHS = csc(x)/[1 - cos(x)]
= {csc(x)[1 + cos(x)]/{[1 + cos(x)][1 - cos(x)]}
= {csc(x)[1 + cos(x)]}/[1 - cos^2(x)], via difference of squares
= {csc(x)[1 + cos(x)]}/sin^2(x), since sin^2(x) = 1 - cos^2(x).
</span>
<span>Then, since csc(x) = 1/sin(x):
LHS = {csc(x)[1 + cos(x)]}/sin^2(x)
= {[1 + cos(x)]/sin(x)}/sin^2(x)
= [1 + cos(x)]/sin^3(x)
= RHS.
</span>
<span>I hope this helps! </span>
