20, I do believe. Quite Positive, though, might wanna check again
First we find k by using the two values given:
P=Ae^(kt), 8 years between-->t=8
199 = 195•e^(8k)
Log 199 = Log [195•e^(8k)]
Log 199 = Log 195 + 8k
8k = Log 199 - Log 195
k = 0.00882/8 = .0011
Next, we plug the new data in using this k:
14 years between 2002-2016-->t=14
P = Ae^my
P = 199mi.•e^(14•.0011)
P = 199mi.•e^(.0154)
P = 199mi. • 1.0155 = 202,088,000
It would be 505/1000 but If you need it to be reduced it would be 101/200
Answer:
32 minutes
Step-by-step explanation:
This can be calculated with some good old division and multiplication:
Step 1 - Divide the word count by the number of words every 2 minutes:
2000 ÷ 125 = 16
Step 2 - Multiply the 16 by the 2 minutes:
16 * 2 = 32
The 16 is the number of words it would take and multiply the 16 by 2 will tell us the number of minutes it would take for the whole document to be written.
So it would take him 32 minutes.
Hope this helps!
The bin containing 382 red, yellow, blue and green balls have a total of 32 green balls.
Let x represent the number of red balls, y represent the number of yellow balls and z represent the number of green balls.
Since ther is a total of 382 balls, hence:
x + y + z = 382 (1)
There is three times as many red balls as yellow balls:
y = 3x
3x - y = 0 (2)
52 more blue balls than yellow balls, hence:
z = y + 52
- y - z = -52 (3)
Solving equations 1, 2 and 3 gives x = 62, y = 186, z = 134
Hence there are 62 red balls, 186 yellow balls and 134 blue balls
Green balls = 62 - 30 = 32 balls
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