Answer: graph E.
A geometric sequence can be written as:
where:
a₁ = first term = 4
r = ratio = 0.5
Substituting the numbers, we have:
or else
This is an exponential function with base less than 1. Therefore, we can exclude graph C (which depicts a linear function), and graphs A and D (which depict an exponential function with base greater than 1).
In order to choose between graph B and E, let's evaluate the function in two different points:
Therefore, we need to look for the graph passing through the points (1, 4) and (2, 2). That is graph E.
Answer:
The length of the rectangle is 18 cm
The width of the rectangle is 6 cm
Step-by-step explanation:
Let
x-----> the length of the rectangle
y----> the width of the rectangle
we know that
The perimeter of the rectangle is
we have
so
------> equation A
------> equation B
Substitute equation B in equation A and solve for y
48=2(2y+6+y)
48=2(3y+6)
48=6y+12
6y=48-12
y=36/6=6 cm
Find the value of x
x=2(6)+6=18 cm
The area of the rectangle is
A=xy
A=18*6
A=108 cm^2
I assume you are looking for the total. The total amount in the account will be $4,781.54 if the interest is compounded annually.
If she is earning 6% interest, the balance in her account will be multiplied by 1.06 each year.
You can evaluate the following expression to find the total.
<span>We should find out the equation that represents the number of drinks Fiona can serve. We know X as the number of glasses of iced tea and Y as the number of glasses of lemonade.
Fiona can serve both of them. She has 44 cups.
</span><span>The equation is:
X+Y=44
the constraint is: X and Y must be positive numbers.
</span>
