Answer:
Step-by-step explanation:
In a geometric sequence, consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as
an = a1r^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the given sequence,
a1 = - 5
r = 15/- 5 = - 3
Therefore, the explicit rule for this sequence is
an = - 5(- 3)^n - 1
20% because 9 divided by 45 is 0.2 which is 20%
Since it is a right angle you would subtract 57 from 90 because both angles added together are 90°. 90-57= 33°
Answer:
A) R = 1900 -24t
B) 1684 billion barrels
C) 79.17 years
Step-by-step explanation:
<h3>A)</h3>
Reserves start at 1900 billion barrels and decrease by 24 billion barrels each year. The value for t=0 is 1900; the value for t=1 is 24 less.
R = 1900 -24t
__
<h3>B)</h3>
For t=9, the reserves will be ...
R = 1900 -24(9) = 1900 -216 = 1684 . . . . billion barrels
__
<h3>C)</h3>
The reserve will be 0 when ...
0 = 1900 -24t
24t = 1900 . . . . . add 24t
t ≈ 79.17 . . . . divide by 24
Reserves will be gone in about 79.17 years.
Answer:
<h2>y - 5 = -1/4(x - 4)</h2>
Step-by-step explanation:
The point-slope form of an equation of a line:
We have m = -1/4 and the point (4, 5). Substitute:
