Answer:
54.7%
Step-by-step explanation:
Given the function :
y=2700(0.453)
y represents an exponential Decay function because :
For a growth function ; the function :
y = A(1 + r) where, A is the initial amount and r = growth rate
With this function ; the value in bracket will always be greater Than 1
Hence, when the value after the initial value is less than 1 ; then we have an exponential Decay ;
Where
y = A(1 - r)
Hence, rate, r equals :
1 - r = 0.453
1 - 0.453 = r
r = 0.547
= 0.547 * 100%
= 54.7%
Answer:
ln e = 1
ln e 2x = 2x
ln 1 = 0
Step-by-step explanation:
ln e
ln(2.718282) = 1
In e 2x
ln(2.718282)(2)x = 2x
ln 1 = 0
The required percentage error when estimating the height of the building is 3.84%.
<h3>How to calculate the percent error?</h3>
Suppose the actual value and the estimated values after the measurement are obtained. Then we have:
Error = Actual value - Estimated value
Given that,
An estimate of the height, H meters, of a tall building can be found using the formula :
H = 3f + 15
where the building is f floors high.
f = 85
The real height of the building is 260 m.
H = 3f + 15
Put f = 85 in the above formula
H = 3(85) + 15
H = 270 m
Error,

So, the required percentage error is 3.84%.
Learn more about percentage error;
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Two or zero expresses the possible number of positive real solutions for the given polynomial equation.
Answer: Option D
<u>Step-by-step explanation:</u>
Given equation:

First, we put hit and trial method to find out the one solution. So, if we put x=4 then the above expression will become zero. We can also write the above expression as

We know the formula,
, make use of this, we get

So, 
Hence, from the above expression, we have three values of x as x= 4, 2.64 and -2.64