Answer:
Step-by-step explanation:
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Answer: 0.9649
Step-by-step explanation:
Let A denote the event that the days are cloudy and B denotes the event that the days are rainy.
Given : For the month of March in a certain city, the probability that days are cloudy :
Also in the month of March in the same city,, the probability that the days are cloudy and rainy :
Now by using the conditional probability, the probability that a randomly selected day in March will be rainy if it is cloudy will be :-

![\Rightarrow\ P(B|A)=\dfrac{0.55}{0.57}\\\\=0.964912280702\approx0.9649\ \ \text{[Rounded to four decimal places.]}](https://tex.z-dn.net/?f=%5CRightarrow%5C%20P%28B%7CA%29%3D%5Cdfrac%7B0.55%7D%7B0.57%7D%5C%5C%5C%5C%3D0.964912280702%5Capprox0.9649%5C%20%5C%20%5Ctext%7B%5BRounded%20to%20four%20decimal%20places.%5D%7D)
Hence, the probability that a randomly selected day in March will be rainy if it is cloudy = 0.9649
Total investment=$2500
Let say David earned 5% profit and Harry earned 3% profit.
If <u>David</u> invested y dollar in mutual fund then <u>Harry</u> would invest,
Harry would invest,$(2500-y)
Total profit would equal to sum of 5% of money <u>David</u> invested and 3% of money <u>Harry</u> invested,
So,
5% × y +3% ×(2500-y)=<u>total profit</u>
0.05×y+0.03×(2500-y)=$111
0.05y+0.03×2500-0.03y=111
0.02y+75=111
0.02y=111-75
y=36/0.02
y=$1800
which is the amount <u>David</u> invested.
The amount invested by <u>Harry</u> would be,
=$(2500-1800)
=$700
Answer:
multiplying by .06 will give you the amount of the increase , which you can add to the original price
to do it in one step , factor in 100% of the original price
the new price is 106% of the original
$85 * 1.06