Answer:
192.92 ft^3
Step-by-step explanation:
volume of a cone = πr²h
π = 3.14
r = radius ]
h = height
the base of a cone is in the shape of a circle. thus, the circumference of the base is equal to the circumference of a circle
circumference of a circle= 2πr
30.144 = 2 x 3.14 x r
r = 30.144 / 6.28
r = 4.8
Volume = 1/3 x 3.14 x 4.8² x 8 = 192.92 ft^3
Answer:
Anything that does not cost more than $2,560.00
Step-by-step explanation:
Provided that Nikita is spending money that she had invested and the amount she collected over the period of 7 years. She can buy any item that costs no more than $2,560.00 but how?
It is a problem of simple interest:
Here the principal amount (P) = $2,000.00
Interest rate (r) = 4%
Time period (t) = 7 years
So, total amount that she would get by the end of 7 years is:
Plugging the values we get:
So the interest collected over 7 years is $560.00
Therefore, the total amount after 7 years is:
If Nikita is using this money then the most expensive item that she could buy will cost no more than $2,560.00.
As you can see all the possible answers have the same form:
By looking at the picture you'll notice that the graph of g(x) has to pass through the point (2,1). Remember that the points in the graph of g(x) have the form (x,g(x)). Since (2,1) is part of the graph of g(x) then we have the following:
So let's evaluate the expression for g(x) that we wrote before at x=2. This way we'll obtain an equation for the number a:
Then we can divide both sides by 4:
Then we get:
Then the answer is option A.