Answer:
0
Step-by-step explanation:
If two events are disjoing (aka mutually exclusive) that means that there is 0 overlap or the intersection equals 0
So the probability of A <em>and </em>B occuring is 0 (because P(A∩B)= 0)
Answer: the cost of each pencil is $0.5
the cost of each eraser is $0.15
Step-by-step explanation:
Let x represent the cost of one pencil.
Let y represent the cost of one eraser.
Becky spent $1.45 for 2 pencils and 3 erasers. This means that
2x + 3y = 1.45- - - - - - - - - -1
Luke spent $2.65 for 5 pencils and 1 eraser. This means that
5x + y = 2.65- - - - - - - - - -2
Multiplying equation 1 by 1 and equation 2 by 3, it becomes
2x + 3y = 1.45
15x + 3y = 7.95
Subtracting, it becomes
- 13x = - 6.5
x = - 6.5/- 13
x = 0.5
Substituting x = 0.5 into equation 2, it becomes
5 × 0.5 + y = 2.65
2.5 + y = 2.65
y = 2.65 - 2.5
y = 0.15
Answer:
The measure of the largest angle in the kite is 128 degrees
Step-by-step explanation:
we know that
The sum of the interior angles in any quadrilateral must be equal to 360 degrees
A kite is a quadrilateral
Let
A,B,C and D the measure of the interior angles
so
we have that
substitute
----> equation A
Remember that
one is four times larger than the other
so
----> equation B
substitute equation B in equation A
solve for D
Find the measure of angle C
therefore
The measure of the largest angle in the kite is 128 degrees
9514 1404 393
Answer:
$737,289
Step-by-step explanation:
The future value of an investment P invested at rate r per year compounded monthly for t years is ...
FV = P(1 +r/12)^(12·t)
We want to find P for the given future value, so we can solve for that:
P = FV/(1 +r/12)^(12·t) = FV(1 +r/12)^(-12·t)
P = $2,000,000(1 +.05/12)^(-240) = $737,289
Mr. Halpayne needs a present value of $737,289 to support his retirement.
Answer:
31 92 123
1 2 3
Step-by-step explanation:
