1.555555555555555555555555555555
Answer:
y = -1/2x - 1
Step-by-step explanation:
Given equation:
y = 2x - 3
Given point: (x1,y1) = (-8,3)
This is in the form of y = mx + c,
so, m1 = 2
If the lines are perpendicular then the product of their slope will be - 1 i.e.
m1 x m2 = -1
2 x m2 = -1
m2 = -1/2
Now, using one point form formula,
y - y1 = m(x - x1)
or, y - 3 = -1/2( x - (-8))
or, y-3 = -1/2(x + 8)
or, y = -1/2x - 4 + 3
or, y = -1/2x - 1
This is the required equation.
Answer:
$19,000
Step-by-step explanation:
The balance is the sum of the principal amount and the interest it earns:
A = P + I
A = P + Prt
A = P(1 +rt)
A = $10,000(1 +.06×15)
A = $19,000 . . . balance after 15 years
If we look at the series, one third of the current term gives the numerical value of the next term.
If we need to express it algebraically, we can write the following equation.
Therefore, our common multiplier can be found as follows. Because this sequence is a geometric sequence.
In geometric sequences, any term can be written in terms of the first term. Below is an example.
Since we know the numerical values of the first term and the common factor of the series, we can easily find the seventh term.