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zepelin [54]
3 years ago
8

Thanks to a new conservation program, a population with only 200 individuals at the beginning of the year is growing exponential

ly. The population has a per capita birth rate of 0.5 per year and a death rate of 0.2 per year. What is the growth rate during the year?
Mathematics
1 answer:
sukhopar [10]3 years ago
5 0

Answer:

0.3 per year

Step-by-step explanation:

Number of newborn per year: 200*0.5 = 100

Number of death per year:  200*0.2= 40

So, the difference between birth and death = 100-40 = 60 (people)

and the growth rate during the year is: 60/200 = 0.3

<em>Hope this answer will find you well. </em>

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). A construction
charle [14.2K]

Answer:

y=\frac{11}{20}x+6

Step-by-step explanation:

Given:

Two points are given

x = number of minutes

y = length of the lin

(x_{1},y_{1} ) ⇒ (0, 6)

(x_{2},y_{2} ) ⇒ (20, 17)

We need to find the equation that represents the relationship between x, y.

Solution:

Using slope formula to find the slope of the equation of the line.

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Substitute (x_{1},y_{1} ) = (0, 6) and (x_{2},y_{2} ) = (20, 17) in above equation.

m=\frac{17-6}{20-0}\\m=\frac{11}{20}

So, slope of the line m = \frac{11}{20}

Using point slope formula.

(y-y_{1})=m(x-x_{1}) ------------(1)

Where, m = slope of the line

Substitute (x_{1},y_{1} ) ⇒ (0, 6) and m = \frac{11}{20} in equation 1.

(y-6)=\frac{11}{20} (x-0)

y-6=\frac{11}{20}x

Add 6 both side of the equation.

y-6+6=\frac{11}{20}x+6

y=\frac{11}{20}x+6

Therefore, the equation that represents the relationship between x and y is written as:

y=\frac{11}{20}x+6

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Middletown sponsors a two day conference for selected middle school students to study government. Suppose 20 student delegates w
grandymaker [24]

Answer:

  • North Middle School = 10 students
  • Central Middle School = 6 students
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Step-by-step explanation:

First calculate the total number of students in all the schools:

= 618 + 378 + 204  

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Use this number to calculate the proportion of the total population that a school so that this can then be used to determine the proportion of the 20 delegates they should sent.

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Central Middle School:  

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