The slope of a line perpendicular to the line y=1, would be y=-1.
Answer:
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = 4500
A = 6300
r = 6.75% = 6.75/100 = 0.0675
n = 2 because it was compounded 2 times in a year.
Therefore,.
6300 = 4500(1 + 0.0675/2)^2t
6300/4500 = (1 + 0.03375)^2t
1.4 = 1.03375^2t
Taking log of both sides of the equation, it becomes
Log 1.4 = 2t log 1.03375
0.1461 = 2t × 0.0144 = 0.0288t
t = 0.1461/0.0288
t = 5.1 years.
Answer: x = b + p/a
Step-by-step explanation: First add b to both sides to get ax = b + p.
Now divide both sides by a to get x = b + b/a.
Answer:
Step-by-step explanation:
Perpendicular bisector is the line with opposite-reciprocal slope and passes through the midpoint
<u>The slope of GH is:</u>
- m = (-5 - 7)/(-1 - 3) = -12/-4 = 3
<u>Perpendicular line has slope:</u>
<u>Midpoint of GH is:</u>
- x = (3 - 1)/2 = 2/2 = 1
- y = (7 - 5)/2 = 2/2 = 1
<u>The line with the slope of -1/3 and passes through point (1, 1) is:</u>
- y - 1 = -1/3(x - 1) in <em>point-slope form</em>
And
- y = -1/3x + 4/3 in <em>slope-intercept form</em>
