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Lelu [443]
4 years ago
15

Suppose that the population of a town Increases by 3% each year. the population of the town today is 25,000

Mathematics
1 answer:
jolli1 [7]4 years ago
3 0

Answer:

The population of town after 1 year is 25,750  .

Step-by-step explanation:

Given as :

The rate of increase in the population of town each year = 3 %

The initial population of town = 25,000

Let the population of town after one year = x

So,

The population after n year = initial population × (1+\dfrac{\textrm rate}{100})^{\textrm n}

Or, The population after 1 year = 25,000 × (1+\dfrac{\textrm 3}{100})^{\textrm 1}

Or, The population after 1 year = 25,000 × (1.03)^{1}

Or,  The population after 1 year = 25,000 × 1.03

∴  The population after 1 year = 25,750

Hence The population of town after 1 year is 25,750  . Answer

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-4/3x+1/6 <7/9 please answer asap
xz_007 [3.2K]

Answer:x=−24/11

Step-by-step explanation:

Simplifies to:

x−86x=79

Let's solve your equation step-by-step.

x−86x=79

Step 1: Cross-multiply.

x−86x=79

(x−8)*(9)=7*6x

9x−72=42x

Step 2: Subtract 42x from both sides.

9x−72−42x=42x−42x

−33x−72=0

Step 3: Add 72 to both sides.

−33x−72+72=0+72

−33x=72

Step 4: Divide both sides by -33.

−33x−33=72−33

x=−2411

8 0
3 years ago
Find the missing numerator in each of the following fractiions? A. 5/6= /12. B. 2/4= /36. C. 2/5=/20. D. 4/25=/100
lesantik [10]

<u>Answer:</u>

A. 10

B. 18

C. 8

D. 16

<u>Step-by-step explanation:</u>

We are given a number of incomplete fractions and we are to find the missing numerator in each one of these.

To find the missing numerator or denominator, we multiply the numerator and the denominator by the same number to get an equivalent fraction.

A. \frac{5}{6} =\frac{10}{12}

Here the denominator is multiplied by 2 so the denominator will also be multiplied by 2 to get 10.

B. \frac{2}{4} =\frac{18}{36}

Numerator is multiplied by 9.

C. \frac{2}{5} =\frac{8}{20}

Numerator is multiplied by 4.

D. \frac{4}{25} =\frac{16}{100}

Numerator is multiplied by 4.

5 0
4 years ago
If f(x) = −3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.Noah started to solve the equation –4.6p
barxatty [35]

Answer:

p = 1.2

Step-by-step explanation:

The given equation is :

–4.6p – 6.3p + 3.9 = –9.18

Combining the like terms,

–4.6p – 6.3p = -9.18 - 3.9

−10.9p = −13.08

⇒ p=\dfrac{-13.08}{-10.9}\\\\p=1.2

Hence, the value of p is 1.2

7 0
3 years ago
The ratio of angle measures is 1:2:2. Classify the triangle by its angle measures. obtuse triangle right triangle equiangular tr
lyudmila [28]

Answer:

Acute Triangle

Step-by-step explanation:

<u><em>Angles in a triangle add up to 180 degrees.</em></u>

So,

x+2x+2x = 180

=> 5x = 180

Dividing both sides by 5

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<u><em>So, The lengths are:</em></u>

=> 36

=> 72

=> 72

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5 0
4 years ago
Find the equation of the line with slope = 6 and passing through (-4,-22). Write your equation in the form
dusya [7]

Answer:

  y = 6x +2

Step-by-step explanation:

It is useful to start with the point-slope form of the equation for a line when you are given a point and a slope.

  y -k = m(x -h) . . . . line with slope m through point (h, k)

  y -(-22) = 6(x -(-4))

  y +22 = 6x +24 . . . simplify

  y = 6x +2 . . . . . . subtract 22

8 0
3 years ago
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