Answer:
not true....
assume $100 start.
in year 1 you are at $108 (up 8%)
in year 2 $108(.98) ... that is 2% down = 105.84...
thus your profit is up only 5.84% over the two years
Step-by-step explanation:
The figure C is equivalent to a square
We first of all calculate our sample size. The number of ways of generating two letter and four digits in a way that repeatition is allowed is:
26^2 x 10^4 = 676 x 10000 = 6,760,000.
Therefore, there are 6,760,000 possible number combinations for the lottery.
Probability of winning the first prize = 1/6,760,000
Probability of winning the second prize is 2/6,760,000 = 1/3,380,000
Probability of winning the third prize is 10/6,760,000 = 1/676,000
Probability of winning nothing is (6,760,000 - 13)/6,760,000 = 6,759,987/6,760,000 *[there are 13 winnings in all]
Expected winning from the lottery = (1/6,760,000) x (100,000 - 0.33) + (1/3,380,000) x (50,000 - 0.33) + (1/676,000) x (1,000 - 0.33) + (6,759,987/6,760,000) x (-0.33) = 0.0148 + 0.0148 + 0.0015 - 0.3300 = -0.30
Therefore, the expected winning is a loss of 30 cents.
This means that it is not worth 33 cents to enter this lottery.
Write an equation and solve it. Call the length of the shorter piece "x", in this case, the longer piece is "3x". The sum of the two is equal to 116 inches.
Answer:
120960
Step-by-step explanation:
We get 11 books 7 of geography and 4 of chemistry
We need to line all of them with 2 constraints
1.-three of the geography must be: 1 in the middle and in each end, then we already have
C₄,₃ = 4! / ( 4 - 3 ) ! C₄,₃ = 4*3*2*1
C₄,₃ = 24 different ways
Now we have 7 books of chemistry. To place them we get
P₇ = 7! P₇ = 7*6*5*4*3*2*1 P₇ = 5040
Now the total number will be
C₄,₃* P₇ = 120960
