Hopes this helps:
Answer: 9
The resulting function g(x) is ...
g(x) = f(x +1)
g(x) = (((x +1) +1)(x +1) -2)(x +1) +1
= ((x +2)(x +1) -2)(x +1) +1
= (x² +3x)(x +1) +1
= x³ +4x² +3x +1
The shifted function g(x) is ...
g(x) = x³ +4x² +3x +1
Answer: the total lifetime cost for the loan is $11616.4
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total cost of the loan at the end of t years.
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount borrowed.
From the information given,
P = $5,500
r = 7.5% = 7.5/100 = 0.075
n = 12 because it was compounded 12 times in a year.
t = 10 years
Therefore,
A = 5500(1 + 0.075/12)^12 × 10
A = 5500(1 + 0.00625)^120
A = 5500(1.00625)^120
A = $11616.4
Answer:
-

- Dimensions of the flag:

- Area of the flag:

Step-by-step explanation:
<em><u>The missing figure of the exercise is attached.</u></em>
<em><u /></em>
We know that the perimeter of the triangle is given by:

Where "s" is the side lenght of the triangle.
Solving for "s", we get:

Therefore, if the perimeter of the triangle is 126 inches, its side length is:

Since
, we know that "s" in feet is:

The area of a rectangle can be calculated with this formula:

Where "l" is the lenght and "w" is the width
We can observe in the figure that the lenght and the width of the flag are:

Then, the dimensions of the flag are:

And the area is:
