Answer:
We have
Stock = $200
Bonds = $100
Substitute these values into 1.08s+1.02b, where 's' is stock and 'b' is bond
1.08(200)+1.02(100)=318
Predicted end of year value is $318
Step-by-step explanation:
ANSWER
x=100,y=10
EXPLANATION
The given logarithmic equations are;
This implies that,
and
This implies that,
Put equation (2) into equation (1)
Hence y=10.
This implies
Let us assume that the number of pieces that can be cut = x
Length of each shelf board = 1 1/3 feet
= 4/3 feet
Total length of board available for making shelf = 18 foot
Then
4x/3 = 18
4x = 18 * 3
4x = 54
x = 54/4
= 13 2/4
As we can see from the above deduction, 13 shelf's can be made from the 18 foot board. There will be about 2/4th of the board remaining, but that 2/4th part will be wasted as it cannot create a complete board.I hope the answer is to your satisfaction and the explanation is clear to you.
Answer:
The probability is 0.3576
Step-by-step explanation:
The probability for the ball to fall into the green ball in one roll is 2/1919+2 = 2/40 = 1/20. The probability for the ball to roll into other color is, therefore, 19/20.
For 25 rolls, the probability for the ball to never fall into the green color is obteined by powering 19/20 25 times, hence it is 19/20^25 = 0.2773
To obtain the probability of the ball to fall once into the green color, we need to multiply 1/20 by 19/20 powered 24 times, and then multiply by 25 (this corresponds on the total possible positions for the green roll). The result is 1/20* (19/20)^24 *25 = 0.3649
The exercise is asking us the probability for the ball to fall into the green color at least twice. We can calculate it by substracting from 1 the probability of the complementary event: the event in which the ball falls only once or 0 times. That probability is obtained from summing the disjoint events: the probability for the ball falling once and the probability of the ball never falling. We alredy computed those probabilities.
As a result. The probability that the ball falls into the green slot at least twice is 1- 0.2773-0.3629 = 0.3576
It is neccesary because you cannot subtract them without having a common denominator so you have to rename 4 1/2
