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3 years ago

Note: When solving for k, round to four decimals places **

1 answer:

5 0

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

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Dimas [21]

Answer:

Step-by-step explanation:

4 0

2 years ago

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In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 15 boys an

denis-greek [22]

Answer:

There are a total of possible 1820 results.

Step-by-step explanation:

Since there are two competitions, one for boys and one for girls, and we want all the possible results we will calculate the possible combinations for the boys and multiply them by the possible combinations for the girls. This is shown below:

$Boys = \frac{15!}{3!(15 - 3)!} = \frac{15!}{3!12!} = \frac{15*14*13*12!}{3!12!}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = 455$

$Girls = \frac{4!}{3!*(4 - 3)!}\\Girls = \frac{4*3!}{3!}\\Girls = 4$

Total number of possible results:

$results = 4*455\\results = 1820$

3 0

3 years ago

Determine the equation of the line passing through the point (0, -4), with a slope of m = 5

Vinvika [58]

The equation of the line is:

y + 4 = 5(x - 0) [point-slope form]

y = 5x - 4 [slope-intercept form]

<h3>How to Find the Equation of a Line?</h3>

Using the point-slope form, the equation of a line that has a slope of m, and passes through a point (a, b), can be written as: y - b = m(x - a).

Given the following:

Slope (m) = 5

Point on the line (a, b) = (0, -4)

Substitute m = 5 and (a, b) = (0, -4) into y - b = m(x - a)

y - (-4) = 5(x - 0)

y + 4 = 5(x - 0)

Or rewrite in slope-intercept form as:

y + 4 = 5x

y = 5x - 4

Learn more about the equation of a line on:

brainly.com/question/13763238

#SPJ1

6 0

2 years ago

The relationship between two variables such that y = kx if k is a nonzero number. Also, as one quantity increases, the second qu

kirill115 [55]

Answer: Direct variation ( your welcome )

6 0

3 years ago

Let f(x) = 12 over the quantity of 4 x + 2Find f(−1).

Brut [27]

The function is
f(x) = 12/(4x+2)
Note the use of parenthesis to indicate that 12 is dividing over all of "4x+2"

Plug in x = -1 and use PEMDAS to simplify
f(x) = 12/(4x+2)
f(-1) = 12/(4(-1)+2) ... every x is replaced with -1
f(-1) = 12/(-4+2)
f(-1) = 12/(-2)
f(-1) = -6

Answer: -6

3 0

3 years ago