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3 years ago

The population of a town is increasing by 2% each year. If the population today is 40,000, what

Mathematics

1 answer:

UkoKoshka [18]3 years ago

5 0

Answer:

46,400

Step-by-step explanation:

present population =40,000

2% of 40,000 =800

for each year it increases by 800

in 8 years time =(8*800) +40,000

=46,400

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Nostrana [21]

Counterclockwise is a rotation towards the left, as in the triangle will move to the position before it.

The correct answer is the fourth option, triangle DEF.

Hope this helps! :)

3 0

4 years ago

X^2-24x+144=0<br><br> solve for x please

e-lub [12.9K]

Answer:

x = 12

Step-by-step explanation:

Step 1: Write quadratic

x² - 24x + 144 = 0

Step 2: Factor

(x - 12)(x - 12) = 0

Step 3: Find roots

x - 12 = 0

x = 12

5 0

3 years ago

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6th grade math ! Help me pleaseee

Maksim231197 [3]

Answer:

$9.99

Step-by-step explanation:

To find the cost of 1 pizza pie, divide the total cost by 5

49.95 ÷ 5 = $9.99

3 0

3 years ago

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Let the region R be the area enclosed by the function f(x)=ln(x) and g(x)= 1/2x-2. Find the volume of the solid generated when t

Neporo4naja [7]

Answer:

$V=61.66$

Step-by-step explanation:

This problem can be solved by using the expression for the Volume of a solid with the washer method

$V=\pi \int \limit_a^b[R(x)^2-r(x)^2]dx$

where R and r are the functions f and g respectively (f for the upper bound of the region and r for the lower bound).

Before we have to compute the limits of the integral. We can do that by taking f=g, that is

$f(x)=g(x)\\ln(x)=\frac{1}{2}x-2$

there are two point of intersection (that have been calculated with a software program as Wolfram alpha, because there is no way to solve analiticaly)

x1=0.14

x2=8.21

and because the revolution is around y=-5 we have

$R=ln(x)-(-5)\\r=\frac{1}{2}x-2-(-5)\\$

and by replacing in the integral we have

$V=\pi \int \limit_{x1}^{x2}[(lnx+5)^2-(\frac{1}{2}x+3)^2]dx\\$

$V=\pi [28x+\frac{1}{x}+xln^2x-12xlnx-6lnx]$

and by evaluating in the limits we have

$V=61.66$

Hope this helps

regards

3 0

3 years ago

What is the distance between (-3,5) (7,5)

Firlakuza [10]

Answer:

10 units

Step-by-step explanation:

use distance formula: d = square root of the difference of the y-values minus the difference of the x-values

d = $\sqrt{(5-5)^2+(7--3)^2}$

d = $\sqrt{(0)^2+(10)^2}$

d = $\sqrt{100}$

d = 10 units

4 0

3 years ago

Read 2 more answers