Answer:
(a)
(b)
Step-by-step explanation:
<u>Question 1</u>
Given the geometric series
3+15+75+375+...
<u>Question 2</u>
Given the series:
Compounded continuously: A=P*e^(rt)
A=6000*e^(0.07*15)
use your calculator: A=17145.90
To find the axis of symmetry you use the formula: x=-b/2a
The axis of symmetry is also the x point of the vertex so to find the y point you just plug in the axis of symmetry in for x to find the y point.
9514 1404 393
Answer:
g^-1(x) = 1/(x+2)
Step-by-step explanation:
To find the inverse of the function ...
y = g(x)
swap the variables and solve for y.
x = g(y)
x = 1/y -2 . . . . . . . use the given g(x)
x +2 = 1/y . . . . . . . add 2
y(x +2) = 1 . . . . . . multiply by y
y = 1/(x +2) . . . . . divide by the coefficient of x
The inverse function is ...
_____
<em>Additional comment</em>
Please observe that when the fraction is typeset, as in the boxed answer, the fraction bar serves as a grouping symbol. It shows you that the denominator is the sum x+2.
When the same expression is written in plain text, only the first item after the division symbol (/ or ÷) is considered to be in the denominator. That is, 1/x+2 = (1/x)+2. The presence or absence of a (space) has no bearing on the correct interpretation of the expression. Only parentheses will serve as a grouping symbol in plain text expressions.
g^-1(x) = 1/(x+2)
Answer:
Devante is 23 and Savannah is 32.
Step-by-step explanation:
We can set up a system of equations.
s - savannah's age
d - devante's age
s = d + 9
s + d = 53
Now we can substitute (d + 9) for s in the second equation.
(d + 9) + d = 53
2d + 9 = 53
2d = 46
<u>d = 23</u>
To find Savannah's age, we just add 9 to Devante's age. (plugging in 23 for d)
23 + 9 = 32
<u>s = 32</u>