Answer:
simplify 36 - 4.5x + 36 to -4.5x + 72
simplify 102 - 7.5x - 60 to -7.5x + 42
add 7.5x to both sides
simplify -4.5x + 72 + 7.5x to 3x + 72
subtract 72 from both sides
simplify 42 - 72 to -30
divide both sides by 3
simplify 30/3 to 10
Answer: x = -10
Hello :
x= r cos<span>θ
y= r sin</span><span>θ
r = 4 and </span>θ =<span> −3π/4
cos( </span> −3π/4 ) = cos( 3π/4 ) = cos ( π - <span>π/4) = - cos (</span><span>π/4)= - </span><span>√2/2
</span>sin( −3π/4 ) = - sin( 3π/4 ) = - sin ( π - π/4) = -sin (π/4)= - √2/2
x = - 2 √2
y = - 2 √2
Given:
amount borrowed $6,100
interest rate 6% - assuming annual interest rate
term - 290 days of a 365 day year.
This is a simple interest computation.
Interest = Principal * interest rate * term
Interest = 6,100 * 6% * 290/365
Interest = 290.79
Total payment at the end of the 290 term would be $6,390.79.
Principal + interest → 6,100 + 290.79 = 6,390.79
Answer:
Equation C: 5/8x + 2..5 = 3/8x + 1.5 + 1/4x
Step-by-step explanation:
Let us go through each of the equations one by one.
Equation A: 
This simplifies to

which has infinitely many solutions.
Equation B: 
this simplifies to


which is exactly one solution.
Equation C: 
this simplifies to


There's no way this is going to be possible; this equation has no solutions.
Equation D: 
this gives


which is exactly one solution.
Thus we see that it is equation C that has no solutions.
An=a1+d(n-1)
an=nth term
a1=first term, when n=1
d=common differnce=amount each term increases by
n=which one
so
when n=1, an=40
so a1=40
it seems to increas by 7 each time
an=40+7(n-1)
explicit formula is expanded
an=40+7n-7
an=33+7n is the formula
the domain is natural numbers because you can't have the -3rd term or the 0th term or the 3.24th term
domain is natural numbers
the formula is

or