SFF = (r/n)/{(1+r/n)^nt-1} ------- where SFF = Sinking fund factor, r = Annual interest rate, n= number of payments per year, t = number of years
Substituting,
SFF = (0.06/2)/{(1+0.06/2)^2*2 -1} = 0.239
PMT = A*SFF = 58,000*0.239 = $13,863.57 ---- The closest answer is $13,863.74
Perimeter of triangle = all sides added up
3a + 4 + 2a - 7 + 9a + 11
now add like terms
3a + 2a + 9a = 5a + 9a = 14a
4 - 7 + 11
= -3 + 11 = 8
so we have 14a + 8
as our simplest expression
The answer is 2k^2 - 7k - 4 because 2k x k is 2k^2 and 2k x (-4) is -8k and 1 x k is k and 1 x (-4) is -4. So then you would get 2k^2 - 8k + k - 4 which simplifies to 2k^2 - 7k - 4 which is your answer.
Answer: (10x + 30)
Step-by-step explanation:
1. combine like terms. -4x + 3x = -x
2. you can’t have a negative x, so you would multiply the equation (-x+3) by -1, to get (x-3).
3. (x-3)(10)... 10 • x = 10x, 10 • 3 = 30.
4. put them together, answer would be 10x + 30.
Measure of Hypotaneous = 5√5
And it's already given that b = 2a
By using pythagoras theorem:
a²+ b² = (5√5)²
Let's substitute for b as 2a in above equation we'll get:
a² + (2a)² = (5√5)²
a² + 4a² = 125
5a² = 125
a² = 25
a = √25 = 5
Therefore,
a= 5
and
b = 2a = 2(5) = 10.