Answer:
My guess is 10 because out of the 14 donuts in the graph half of them are jelly filled so following the stats half of the 20 donuts will be jelly filled making 10 half of 20.
Answer:
D, x = 3
Step-by-step explanation:
to know if a line is parallel, we need to know what kind of line x = 6 is
we can use the mnemonic VUX/HOY to determine the slope, the type of line, and which axis it corresponds to. VUX/HOY stands for:
Vertical line
Undefined slope
X axis
Horizontal line
0 is the slope
Y axis
according to this, the equation x = 6 is a vertical line
now we can start eliminating answer choices
A. a line containing the point (6,2)
the point lies on the line x = 6, as the x-coordinate in the ordered pair is 6. this is not parallel to the line
B. y = 6
this intersects x = 6 and is not parallel
C. y = 4
this intersects x = 6 as well and is not parallel
D. x = 3
this leaves us with x = 3, which is a vertical line as seen by the equation and therefore x = 3 is our answer
First, we know this diagram consists of two horizontal lines cut by a transversal line. Therefore, we know that the given angle that measures 113° and the angle we want to find are alternate interior angles. Since all alternate interior angles are equal, we know the unknown angle must also be 113°.
I hope this helps.
Answer:
a) 41
b) -31
c) 25/3
Step-by-step explanation:
The instructions explain what a function is pretty clearly.
Basically, whatever is in the parentheses next to the
, you plug in to the expression that is the function.
ex: 

Okay, onto the problems:
a) 
First, plug in 14, since that is given:

and solve.


So, 41 is the answer to a.
b) Do the same thing you did in problem a. Plug in the number inside the parentheses and solve.



-31 is the answer to b.
c) For this problem, you have to do a bit of algebra.
First, take the base function f(x):

Then, set f(x) = 24:

and solve by isolating x.



25/3 is the answer to c.
Answer:
$5,909.97
Step-by-step explanation:
We will use the compound interest formula for this problem as shown below:

<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, change 3.6% into a decimal:
3.6% ->
-> 0.036
Now plug in the values:


After 2 years, the balance would be $5,909.97