Sales tax is given to the state government
Answer:
h = -9
Step-by-step explanation:
Simplifying
5h + 22 + -2h = -5
Reorder the terms:
22 + 5h + -2h = -5
Combine like terms: 5h + -2h = 3h
22 + 3h = -5
Solving
22 + 3h = -5
Solving for variable 'h'.
Move all terms containing h to the left, all other terms to the right.
Add '-22' to each side of the equation.
22 + -22 + 3h = -5 + -22
Combine like terms: 22 + -22 = 0
0 + 3h = -5 + -22
3h = -5 + -22
Combine like terms: -5 + -22 = -27
3h = -27
Divide each side by '3'.
h = -9
Simplifying
h = -9
In
order to solve for a nth term in an arithmetic sequence, we use the formula
written as:<span>
an = a1 + (n-1)d
where an is the nth term, a1 is the first value
in the sequence, n is the term position and d is the common difference.
First, we need to calculate for d from the given
values above.
<span>a3 = 20.5 and a8 = 13
</span>
an = a1 + (n-1)d
20.5 = a1 + (3-1)d
</span>an = a1 + (n-1)d
13 = a1 + (8-1)d
<span>
a1 = 23.5
d = -1.5
The 11th term is calculated as follows:
a11 = a1 + (n-1)d
a11= 23.5 + (11-1)(-1.5)
a11 =
8.5</span>
