Answer:
A. The circle has been shifted 3 units to the right and 8 units down, r=6
Step-by-step explanation:
Recall that the equation of a circle is 
where 
is the center of the circle and 
is the radius.
Given that the equation is 
, this tells us that the center of the circle is at 
and the radius is 
. Since the value of 
represents the amount of horizontal shift from the origin and 
represents the amount of vertical shift from the origin, then the circle was shifted 3 units to the right and 8 units down.
So for this, you will be using the exponential equation formula, which is y=ab^x , with a = initial value and b = growth/decay.
Since we start out with 855, that is your a variable.
And since this is a growth by 6%, add 1 and 0.06 (6% in decimal form) together, which is 1.06. That is your b variable.
In this case, time is the independent variable. therefore 1 year is the x variable.
Using the prior info, we can form our equation to be: y = 855(1.06)^1 . From here we can solve for y.
Firstly, solve 1.06^1: y = 855(1.06)
Next, multiply everything, and your answer should be y = 906.30 . In this context, there will be $906.30 in your account after 1 year.
The cone is a three dimensional shape, and the value of the height of the cone is 27 inches
<h3>How to determine the height?</h3>
The given parameters are:
- Shape = Cone
- Volume, V = 45 in^3
- Base area, B = 5 in^2
The volume of the cone is calculated using:
So, we have:
Divide both sides by 5
Multiply both sides by 3
h = 27
Hence, the value of the height of the cone is 27 inches
Read more about volume at:
brainly.com/question/1972490
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Function A because in one hour it gets up by 4 but in function B it gets up by only 2
Answer:
1 dozen because he doesnt have enough for 2 dozen unless he has 9 more dollars
Step-by-step explanation:
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