A=x(1+r/n)^nt
21150=x(1+0.032/12)^84
21150=x(1+0.0026666)^84
21150=x(1.002666666)^84
21150=x(1.25069809)
21150/1.25069809=x
16910.56=x
Hope this helps!
Answer:
The probability is 0.97
Step-by-step explanation:
In this question, we are concerned with calculating the probability of a student spending time reading or watching TV.
To calculate this, we simply use a direct mathematical formula.
P( of spending time reading or watching tv) = P(of spending time reading) + P(spending time watching Tv) - P( of spending time watching Tv and reading)
From the question, we identify the probabilities as follows;
P(spending time reading) = 0.1
P(of spending time watching Tv) = 0.9
P(of spending time watching Tv and reading) = 0.03
Now, plugging these values, we have
P( of spending time reading or watching Tv) = 0.9 + 0.1 -0.03
= 1-0.03 = 0.97
Answer:
830,016 inches
Step-by-step explanation:
this is how many inches
Answer:
x = 52
Step-by-step explanation:
Vertical angles are angles that are opposite from each other.
According to the vertical angles theorem, vertical are are congruent. Therefore, if the angles opposite of x is 52 degrees, angle x also equal 52 degrees.
By definition of absolute value, you have
or more simply,
On their own, each piece is differentiable over their respective domains, except at the point where they split off.
For <em>x</em> > -1, we have
(<em>x</em> + 1)<em>'</em> = 1
while for <em>x</em> < -1,
(-<em>x</em> - 1)<em>'</em> = -1
More concisely,
Note the strict inequalities in the definition of <em>f '(x)</em>.
In order for <em>f(x)</em> to be differentiable at <em>x</em> = -1, the derivative <em>f '(x)</em> must be continuous at <em>x</em> = -1. But this is not the case, because the limits from either side of <em>x</em> = -1 for the derivative do not match:
All this to say that <em>f(x)</em> is differentiable everywhere on its domain, <em>except</em> at the point <em>x</em> = -1.
