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
Answer:
182 feet
Step-by-step explanation:
The equation that describes the motion of the hot air ballon is:
where:
is the initial altitude
v is the rate of descend of the balloon
t is the time
The balloon starts from a height of
and has a rate of descend of
Therefore, after time
t = 12 min
Its altitude will be
Answer:
y = -3x +2
Step-by-step explanation:
If you divide the equation for the given line by 2, it will be in slope-intercept form:
y = (1/3)x +7
This tells you its slope is 1/3. The slope of the perpendicular line is the negative reciprocal of this: -1/(1/3) = -3. The point-slope form of the equation for the perpendicular line can be written as ...
y = m(x -h) +k . . . . . line with slope m through point (h, k)
Your line is ...
y = -3(x -(-2)) +8
y = -3x +2
