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olga2289 [7]
3 years ago
13

The population of a town was 230000. For 12 years, the population grew 4% per year, compounded continuously. When was the popula

tion at the end of the 12 year period according to the exponential growth function?

Mathematics
1 answer:
allochka39001 [22]3 years ago
3 0

Answer:

300098

Step-by-step explanation:

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Factor completely x^3 + 1/8
maksim [4K]

Answer:

((2 x + 1) (4 x^2 - 2 x + 1))/8

Step-by-step explanation:

Factor the following:

x^3 + 1/8

Put each term in x^3 + 1/8 over the common denominator 8: x^3 + 1/8 = (8 x^3)/8 + 1/8:

(8 x^3)/8 + 1/8

(8 x^3)/8 + 1/8 = (8 x^3 + 1)/8:

(8 x^3 + 1)/8

8 x^3 + 1 = (2 x)^3 + 1^3:

((2 x)^3 + 1^3)/8

Factor the sum of two cubes. (2 x)^3 + 1^3 = (2 x + 1) ((2 x)^2 - 2 x + 1^2):

((2 x + 1) ((2 x)^2 - 2 x + 1^2))/8

1^2 = 1:

((2 x + 1) ((2 x)^2 - 2 x + 1))/8

Multiply each exponent in 2 x by 2:

((2 x + 1) (2^2 x^2 - 2 x + 1))/8

2^2 = 4:

Answer:  ((2 x + 1) (4 x^2 - 2 x + 1))/8

5 0
3 years ago
Read 2 more answers
This drawing would be a step in finding which point of concurrency in a triangle?
ad-work [718]

Answer:

A. Orthocenter

Step-by-step explanation:

In the given triangle, ΔWKS, the drawing shown the construction of a perpendicular line to the side KS that pass through the vertex <em>W </em>of ΔWKS. Therefore, the completed construction gives an altitude of the triangle ΔWKS

Repeating the same procedure from the vertex <em>S</em> to construct the perpendicular line (altitude) to the side WK, and from the vertex <em>K</em> the perpendicular line (altitude) to the side WS gives the three altitudes of the triangle

The point of intersection (the point of concurrency) of the three altitudes is the <em>orthocenter </em>of the triangle and the drawing would therefore be a step in finding the <em>orthocenter </em>of a triangle.

3 0
3 years ago
a particular school has a teacher to a student ratio of a 1 teacher to 11 students. Are there more teachers or students explain
TEA [102]
Read it carefully. It's telling you the answer in the problem! There is one teacher for every 11 students. Of course there are more students! 
7 0
3 years ago
What is equivalent to 5(6×+3y)
meriva

Answer:

   3*y/5-(6)=0

Step-by-step explanation:

           y

Simplify   —

           5

Equation at the end of step  1  :

      y      

 (3 • —) -  6  = 0  

      5      

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

        6     6 • 5

   6 =  —  =  —————

        1       5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3y - (6 • 5)     3y - 30

————————————  =  ———————

     5              5    

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  3y - 30  =   3 • (y - 10)  

Equation at the end of step  3  :

 3 • (y - 10)

 ————————————  = 0  

      5      

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3•(y-10)

 ———————— • 5 = 0 • 5

    5    

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3  •  (y-10)  = 0

Equations which are never true :

4.2      Solve :    3   =  0

8 0
3 years ago
If a package of 5 pairs of socks cost 30.95 what is the unit price of pairs of socks
Marat540 [252]
1 pair of socks cost $6.19

Step:
-Divide 30.95 by 5 to get the unit price
5 0
3 years ago
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