This is a geometric series with first term e^3 and common ratio e^-2. The sum of it will be
.. e^3/(1 -e^-2) ≈ 23.229277815766...
The ages are consecutive even numbers.
The youngest child is (x+3) years old.
Every even number is 2 more than the one before it.
So the three ages are
(x + 3), (x + 5), and (x + 7).
Their sum is x+3 + x+5 + x+7 = 3x + 15
But we're told that their sum is 42, so we can write
3x + 15 = 42 <== the equation
Subtract 15 from each side: 3x = 27
Divide each side by 3 : x = 9 <== the solution
So the three ages are 12, 14, and 16.
The oldest child is 16 years old.
Answer:
c and a are the correct answers
Answer:
5 amperes will produce the maximum power
Step-by-step explanation:
The power generated by an electrical circuit (in watts) as a function of its current c (in amperes) is modeled by: P(c)= -12c^2 + 120c.
To find out the maximum power we need to find the vertex
formula to find x -coordinate of vertex is 
P(c)= -12c^2 + 120c is given in the form of y=ax^2+bx+c
a= -12, b = 120
c= 5 amperes will produce the maximum power
