Answer:

Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
substitute in the formula above
solve for t
simplify
Apply ln both sides
Applying property of exponents
Remember that ln(e) =1

The angle measure of DBC is 45
Given:
The table of values is
x y
-4 2
-3 5
-2 8
-1 11
To find:
The slope of the line that contains these points.
Solution:
From the given table consider any two point.
Let the line passes through the points (-4,2) and (-3,5). So, the equation of the line is




Using distributive property, we get



Therefore, the required equation of line is
.
Answer:
Step-by-step explanation:
7.5
Answer:
36
Step-by-step explanation:
AOB + BOC = AOC
AOC = 90 since the lines are perpendicular
6x-12 + 3x+30 = 90
Combine like terms
9x + 18 = 90
Subtract 18 from each side
9x+18-18 = 90-18
9x = 72
divide by 9
9x/9 = 72/9
x = 8
AOB = 6x - 12
= 6*8 - 12
= 48 -12
= 36