Answer:
9.
Step-by-step explanation:
When there is an absolute value, anything within the absolute value becomes positive. Things outside the absolute values stay as they are.
|-12| - |-3| = 12 - 3 = 9.
Hope this helps!
Answer:
$10618.37
Step-by-step explanation:
Use the formula for compound interest:
P(t) = P_0e^(rt)
You can look the formula up online to find what each variable represents.
First, our principal amount (P) is 10,000. Our interest rate (r) is 3% and our time (t) is 2. Substitute these into the equations in each variables' place. The equation will look like this:
P(t) = 10,000e^(0.03x2)
P(t) = 10,000e^(0.06)
Note that e is approximately 2.7183 .
Using your calculator, now simply find P(t).
You should get 10618.36972 as your answer. Round that to the nearest cent to get $10618.37 .
Answer:
<em>B ( 6 , 3 ) </em>
Step-by-step explanation:
( 
, 
)
( 
, 
)
Coordinates of midpoint are ( 
, 
)
~~~~~~~~~~~~~~~~~~
A ( - 7 , - 9 )
B ( x , y )
M ( - 0.5 , - 3 )
= - 0.5 ⇒ <em>x = 6</em>
= - 3 ⇒ <em>y = 3</em>
<em>B ( 6 , 3 )</em>
264 because you can do 8 divided by 6 and get 1.3 repeating, than you would do 198 times 1.333333333333 and you get 264
Answer:
Each bag originally had 35 pieces of candy
Step-by-step explanation:
Since the bags are identical, Let them Number of candies in each bag sue had be x. Thus, she had 5x candies. Since she lost 25 pieces, then she now has;
5x - 25 candies left.
We are told that Ted had 4 bags with the same number of candies like Sue had. Thus, he has 4x candies.
He mysteriously found 10 additional pieces. Total Ted now has is;. 4x + 10
Finally, we are told that Sue and Ted now have an equal number of candies.
Thus;
5x - 25 = 4x + 10
Rearranging, we have;
5x - 4x = 25 + 10
x = 35
Thus, each bag originally had 35 pieces of candy
