Double
from initial amont of P to final amount of 2P
so
2P=P(1.071)^time
divide both sides by P
2=1.071^time
take the ln of both sides
ln2=timeln1.071
divide both sides by ln 1.071
(ln2)/(ln1.071)=time needed
using calculator
10.1052=time needed
about 10.1 hours
Let a, b and c be in a geometric sequence, then ac = b^2
Hence, (2k + 1)(7k + 6) = (3k + 4)^2
14k^2 + 19k + 6 = 9k^2 + 24k + 16
5k^2 - 5k - 10 = 0
5k^2 + 5k - 10k - 10 = 0
5k(k + 1) - 10(k + 1) = 0
(5k - 10)(k + 1) = 0
5k - 10 = 0 or k + 1 = 0
5k = 10 or k = -1
k = 2 or k = -1
The geometric sequence formed is
2(2) + 1, 3(2) + 4, and 7(2) + 6
5, 10, and 20
OR
2(-1) + 1, 3(-1) + 4, and 7(-1) + 6
-1, 1, and -1
Answer: -3x+5y=-2 = x=5/3y+2/3
3x+7y=26 = x=-7/3y+26/3
Step-by-step explanation:
Answer:
C. y = -2x + 3
Step-by-step explanation:
The equation of a line in slope-intercept form is given as y = mx + b.
m = slope, while b = y-intercept.
We already know that the slope, m, = -2.
We are given a point also as (0, 3). This means, at x = 0, y = 3.
Therefore, the y-intercept, b, = 3, because, the line would intercept the y-axis of the graph at y = 3, and at that point, x = 0.
Thus,
Slope (m) = -2,
y-intercept (b) = 3
Plug these values into y = mx + b
✅The equation of the line in slope-intercept form would be:
y = -2x + 3
The is (5000,59) and you can check this by doing this -0.004(5000)+79
