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finlep [7]
3 years ago
5

A city that had 8000 thousand people at the beginning of the year 2000 has been decreasing by 3.2% per year. What is the 1-year

percent change in the city's population?
Mathematics
1 answer:
Margaret [11]3 years ago
8 0

Answer:

7,744 (96.8% of population at the beginning of the year)

Step-by-step explanation:

Population of the city at the beginning of the year = 8000people

Yearly percentage decrease = 3.2%

This means at the end of the first year the population reduces by 3.2% which gives 3.2%of 8000

= 3.2/100 × 8000

= 3.2 × 80

= 256

This shows that the population decreases by 256 at the end of first year.

To get the 1year percentage change in population, we will subtract the percentage decrease in Population from the initial population to give;

8000 - 256

= 7,744

7,744population remains after 1year wish is (100-3.2)% i.e 96.8% of the population at the beginning of the year.

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Answer:

∠A = 90  

∠B = 30

∠C = 60

Step-by-step explanation:

Let ∠B = x

∠A = 3x

∠C = x + 30

Angle sum property of triangle: Sum of three angles of triangle is 180

x + 3x + x + 30 = 180   {Combine like terms}

         5x  + 30 = 180

                    5x = 180 - 30

                   5x = 150

                     x = 130/5

x = 30

∠A = 3*30 = 90

∠C = 30 + 30 = 60

5 0
3 years ago
How many three-fourths are in 3?
hodyreva [135]
There are four 3/4 in 3.
6 0
3 years ago
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The Girl Scouts collected $90 for charity while the Boy Scouts collected $60.
Ostrovityanka [42]

So first you’ll have to find the total or the sum of collected.

$90+$60= $150

Because you’re finding the percent of the total collected by girl scouts, divide the amount collected from the girl scouts by the total.

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6 0
2 years ago
a six sided number cube has faces with the numbers 1 through 6 marked on them. what is the probability that a number less than 3
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Determine whether the following lines represented by the vector equations below intersect, are parallel, are skew, or are identi
KiRa [710]

Answer:

r(t) and s(t) are parallel.

Step-by-step explanation:

Given that :

the  lines represented by the vector equations are:

r(t)=⟨1−t,3+2t,−3t⟩

s(t)=⟨2t,−3−4t,3+6t⟩

The objective is to determine if the following lines represented by the vector equations below intersect, are parallel, are skew, or are identical.

NOTE:

Two lines will be parallel if \dfrac{x_1}{x_2}= \dfrac{y_1}{y_2}= \dfrac{z_1}{z_2}

here;

d_1 = (-1, \ 2, \ -3)

Thus;

r(t) = \dfrac{x-1}{-1} = \dfrac{y-3}{2}=\dfrac{z-0}{-3} = t

d_2 =(2, \ -4, \  +6)

s(t) = \dfrac{x-0}{2} = \dfrac{y+5}{-4}=\dfrac{z-3}{6} = t

∴

\dfrac{d_1}{d_2}= \dfrac{-1}{2} = \dfrac{2}{-4}= \dfrac{-3}{-6}

Hence, we can conclude that r(t) and s(t) are parallel.

6 0
3 years ago
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