Answer:
For an nth term U(n) = a + (n - 1)d
n = number of terms
a = first term
d = common difference
a = 5
d = 2 - 5 = - 3
U(n) = 5 + (n -1)-3
= 5 - 3n + 3
= 8 - 3n
The formula for the sequence is 8 - 3n
Hope this helps
First you have to look to see if you can isolate h. to do this you need to divide 2g on both sidesmaking the equation into f/2g=h.
just an extra little fact, we divide the 2g because it was multiplied as 2gh, to move it to the other side you do the opposite to it, therefore it being division :)
Answer:
Number of sides of the polygon
Step-by-step explanation:
The formula 
is the sum of the measures of interior angles. So that's what S stands for. The only other variable remaining is n which is the number of sides of the polygon.
There's nothing I can do to help you understand this, you just have to memorize it.
Answer:
2nd option
Step-by-step explanation:
Substitute the values of x from the domain into f(x) for range
f(2) = 2³ + 1 = 8 + 1 = 9
f(3) = 3³ + 1 = 27 + 1 = 28
f(4) = 4³ + 1 = 64 + 1 = 65
range is {9, 28, 65 }
Given that
starting outstanding balance = $150000
rate of interest = 7.5% per year
so rate of interest for 1 month = (7.5/12)% = 0.635%
outstanding balance before 1st monthly payment = starting outstanding balance + 0.625% of interest on starting outstanding balance
= 150000 + (0.625 /100) × 150000
= 150000 + 937.5 = $150937.5
Reduction = outstanding balance after one month - first monthly payment
Reduction = $150937.5 - 1010.10 = 149927.40
so out of first payment of $1,010.10 , $937.5 goes towards interest and remaining $72.6 goes towards reduction of principal that is 150000 - $72.6 = 149927.40.
so correct option is B that is $149927.40.
