Answer:
-31=8
Step-by-step explanation:
Because the account is compounded continuously, Euler number is required
e = 2.7182818
Answer:
If ƒ(x ) = 3x + 1, then ƒ(a + h ) - ƒ(a ) = 3h
Step-by-step explanation:
Given ƒ(x ) = 3x + 1, then to calculate ƒ(a + h ) - ƒ(a ), you need to replace "x" for (a + h) and a, respectively.
So...
f(a +h) = 3(a + h) + 1
and
f(a) = 3a + 1
Then
ƒ(a + h ) - ƒ(a ) = 3 (a + h) + 1 - [3a +1] = 3a + 3h + 1 - 3a - 1 = 3h.
So, ƒ(a + h ) - ƒ(a ) = 3h
Answer:
a + b + c + d + e = 180.
Step-by-step explanation:
We can prove that a = angle CBA (vertically opposite angles are equal).
Now, since lines DE and CA are parallel, then it follows that c = angle ACE (alternate angles are equal). Similarly, b = angle CAD.
But notice that what we've just done is found the angles of the triangle CBA.
So the sum of the angles (a + b + c + d + e) is the sum of the angles of a triangle.
We then conclude that a + b + c + d + e = 180 degrees.
