Answer:
-$132.47
Step-by-step explanation:
you multiply 3 by 105.3 since she has 3 deposits of the same amount
3*105.3=315.9
Ashley has -$448.37 so you add $315.9 which is the total amount she deposited
-448.37+315.9=-132.47
Ashley has -$132.47 after the deposits
Answer:
b) 0.42
Step-by-step explanation:
Let A be the event that card is a heart card and B be the event that card is a face card.
We have to find P(A or B). P(A∪B)=?
P(A∪B)=P(A)+P(B)-P(A∩B)
There are 13 heart cards and 12 cards are face cards. There would be 3 face card in hearts. So,
P(A)=13/52=1/4=0.25
P(B)=12/52=3/13=0.231
P(A∩B)=3/52=0.058
P(A∪B)=0.25+0.231-0.058
P(A∪B)=0.481-0.058
P(A∪B)=0.423
So, the probability that the card is a heart or is a face card is about is 0.42.
<h3>
Answer: Choice D) 56 degrees</h3>
How I got that answer:
Angle DCE is given to be 62 degrees. By the inscribed angle theorem, It doubles to 124 degrees, which is the measure of central angle DAE.
Note how angles DAF and DAE are a linear pair. This means they are adjacent supplementary angles. So they add to 180
(angle DAF)+(angle DAE) = 180
(angle DAF) + (124) = 180
angle DAF = 180-124
angle DAF = 56
If you would like to know about how long was the rope before Chris cut it and you would like to round each length to the nearest tenth to estimate the total length of the original piece of rope, you can calculate this using the following steps:
11.36 meters = 11.4 meters
13.46 meters = 13.5 meters
11.4 + 13.5 = 24.9 meters
Result: The rope was 24.9 meters long (before Chris cut it) - rounded to the nearest tenth.
In matrix form, this is
The coefficient matrix has determinant
so it has an inverse, which is
Multiply both sides by the inverse matrix:
so that 
and 
.
