Since this is a compound interest, we will use this formula: A = P(1+r/n)^n*t
P = $1000 --> the amount that we start with
r = 8% --> this is the rate
n = 4 --> This is because it is compounded quarterly.
t = 5 --> the amount of years
A = 1,000.00(1 + 0.02)^(20)
So our final value after inserting those numbers in the equation is: $1,485.95.
The answer to the product of the functions f(x) = x2 and g(x) = x - 8 is f(x).g(x) = x3 - 8x2.
The given functions are :
f(x) = x2 --- (1)
g(x) = (x - 8) --- (2)
The product of the functions is obtained by multiplying equations (1) and (2)
f(x). g(x) = x2 × (x - 8)
f(x).g(x) = x3 - 8x2
Let us take another example
Let f(x) = x3 - 2x2 + x - 4 and g(x) = 1/2x
The product of the above two functions will be :
f(x).g(x) = (x3 - 2x2 + x - 4) × (1/2x)
= ( x3)(1/2x) -( 2x2)(1/2x) + (x)(1/2x) - (4)(1/2x)
= x2/2 - x + 1/2 - 2/x
= x2/2 - x - 2/x + 1/2
You have to use the distributive property, therefore you get 2x+13/3.
The next step is to do 2 x 5 because they gave us a number for the variable x. Then you have to do 2 x 13 which gives us 26.
10+26=36 and 36/3=12, hope I helped, Have a nice day! :)
Answer:
68, 5, 21, 24x+8
Step-by-step explanation:
The sides of a regular polygon with a known interior angles can be found as follows:
Interior Angle = (n−2) × 180° / n
<h3 /><h3 /><h3>Regular polygon</h3>
A regular polygon is a polygon that have equal sides and equal angles.
A regular polygon has the following angles:
- interior angles
- exterior angles
According to the question, the interior angles are given. To know the number of sides of polygon can be calculated as follows:
Note the interior and the exterior angles add up to 180 degrees.
Therefore,
Interior Angle = 180° − Exterior Angle
Exterior angle = 360°/n
Interior Angle = 180° − 360°/n
n = number of sides
Finally,
- Interior angle = (n−2) × 180° / n
learn more on polygon here:brainly.com/question/7153502?referrer=searchResults