Answer:
R = 8,228,571.43 (Approx)
Step-by-step explanation:
Given:
R = x²/y
x = 4.8 x 10⁵
y = 2.8 x 10⁴
Find:
Value of R
Computation:
R = x²/y
R = (4.8 x 10⁵)²/ (2.8 x 10⁴)
R = 23.04 x 10¹⁰ / (2.8 x 10⁴)
R = 8.22857.. x 10⁶
R = 8,228,571.43 (Approx)
Total deposit = 645.30 + 645.30 = $1290.60
Total withdrawals= 158.25 +168.36+157.42+148.46 = $632.49
Balance = 398.26 + 1290.60 - 632.49 = $1056.37
Answer:
P(W|B) = 0.58
Step-by-step explanation:
The conditional probability formula tells you ...
P(W | B) = P(W&B) / P(B)
= 0.29/.050
= 0.58
Question 14, Part (i)
Focus on quadrilateral ABCD. The interior angles add to 360 (this is true for any quadrilateral), so,
A+B+C+D = 360
A+90+C+90 = 360
A+C+180 = 360
A+C = 360-180
A+C = 180
Since angles A and C add to 180, this shows they are supplementary. This is the same as saying angles 2 and 3 are supplementary.
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Question 14, Part (ii)
Let
x = measure of angle 1
y = measure of angle 2
z = measure of angle 3
Back in part (i) above, we showed that y + z = 180
Note that angles 1 and 2 are adjacent to form a straight line, so we can say
x+y = 180
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We have the two equations x+y = 180 and y+z = 180 to form this system of equations

Which is really the same as this system

The 0s help align the y terms up. Subtracting straight down leads to the equation x-z = 0 and we can solve to get x = z. Therefore showing that angle 1 and angle 3 are congruent. We could also use the substitution rule to end up with x = z as well.
2^6 is the answer. Multiply the rules because it’s a rule