Answer:
just guess
Step-by-step explanation:
i got it right
Answer:
$13,793
Step-by-step explanation:
Kate purchased a car for $23,000. It will depreciate by a rate of 12% a year. What is the value of the car in 4 years. *
The formula for Depreciation rate =
y = a(1 - r) ^t
Where
y = Value of the car after t years
a = Initial value of the car = $23,000
t= time in years = 4 years
r = Depreciation rate = 12% = 0.12)
y = $23000 (1 - 0.12)⁴
y = $13792.99328
Approximately = $13,793:
Answer:
Ф = CO/(6 units)
Step-by-step explanation:
The formula for arc length is s = rФ, where Ф is the central angle. This can be solved for Ф, the central angle:
arc length
Ф = ------------------
radius
If the given arc length is represented by CO, then the central angle is
Ф = CO/(6 units)
Ln 54.598... = 4 because ln = log e
Answer:
a) 1/2
b) 250
Step-by-step explanation:
The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for 
such that 
is maximized. Once we have that , we can easily find the answer to part b.
Finding the value that maximizes is the same as finding the value that maximizes 
, just on a smaller scale. So, we really want to maximize . To do this, we will do a trick called completing the square.
.
Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of such that the inner part of the square term is equal to 
.
.
So, the answer to part a is 
.
We can then plug 
into the equation for p to find the answer to part b.
.
So, the answer to part b is 
.
And we're done!
