Choosing the first tile:
At first, there are 7 tiles.
You are interested in choosing a 5. There is only one tile with a 5.
p(5) = 1/7
Choosing the second tile:
After the 5 has been taken, now there are 6 tiles left.
Only one tile has the number 6.
p(6) = 1/6
The overall probability of choosing a 6 after a 5 is the product of the individual probabilities:
p( 5 then 6) = 1/7 * 1/6 = 1/42
Answer: The probability of choosing a 5 and then a 6 is 1/42.
P ( x ) = x³ - 4 x² + 3 x - 12 =
= x² ( x - 4 ) +3 ( x - 4 ) = ( x - 4 ) · ( x² + 3 )
x - 4 = 0, x = 4
x² + 3 = 0, x² = - 3 ( there is no real solution )
Answer: In 4 years the company will break even.
Answer:
$607.75
Step-by-step explanation:
As a first approximation, compound interest will be slightly higher than simple interest for a relatively short time period. Here simple interest at 5% for 4 years will add 4×5% = 20% to the value, adding about $100 to the initial $500 value. That is, we expect the value in 4 years to be slightly more than $600.
The appropriate answer choice is $607.75.
_____
The actual amount can be calculated using the multiplier 1.05 for each of the 4 years, or 1.05^4 ≈ 1.21550625 for the entire period. Then the predicted item value is ...
$500 × 1.21550625 = $607.753125 ≈ $607.75
To figure this out plug in 4 for x
f(4)=5/3(4)^3/2+8(4)^1/2 = 5/3(8) + 8(2)
= 5/3 x 8 + 16 = 40/3 +16 = 88/3
Hope this helps!
