HELP PLEASEEE!!!!!!! The population in Smalltown in 2010 was 56,382 people and is growing exponentially at a rate of 1.2 percent. Which of the following equations defines the population t years after 2010?

a. P= 56,382(1+0.12)^t
b. P= 56,382(1+0.012)^t
c. P= 56,382e^0.012t
d. P= 56382e^1.2t

Answer:

a=11/12

Step-by-step explanation:

1/3+a=5/4

a=5/4 - 1/3

a=11/12

Answer:

11/12

Step-by-step explanation:

If we make both fractions have the same denominator, then it would be 4/12 + a = 15/12, so 15 - 4 = 11. So the answer would be 11/12.

Answer:

x = 5

Step-by-step explanation:

that would look like this:

[tex]\frac{4+3x-1}{2}=9[/tex]

first, to remove the denominator (2), we should multiply both sides by 2. therefore, we get:

4 + 3x - 1 = 18.

now, we transpose 4 and -1 to the other side, in order to isolate 3x.

3x = 18 + 1 - 4

3x = 15

to find x, we divide both sides by 3. therefore, we get:

x = 5

Answer:

Step-by-step explanation:

[tex]4 + 3x - \frac{1}{2}=9[/tex]

Subtract 4 from both the sides

[tex]3x - \frac{1}{2}=9 - 4\\\\3x - \frac{1}{2}= 5[/tex]

Add (1/2) to both sides

[tex]3x = 5 + \frac{1}{2}\\\\3x = \frac{5*2}{1*2}+\frac{1}{2}\\\\3x=\frac{10}{2}+\frac{1}{2}\\\\3x=\frac{10+1}{2}\\\\3x=\frac{11}{2}\\\\x=\frac{11}{2*3}\\\\x=\frac{11}{6}[/tex]

Answer:

second choice.

Step-by-step explanation:

Answer:

If the numerator is divisible by the denominator, the fraction is equivalent to a whole number. In other words, if you can divide the numerator by the denominator without any remainder, the fraction is equivalent to a whole number.

Step-by-step explanation:

Answer:

39 and 37

Step-by-step explanation:

76/2=n

n+1, n-1

Answer:

$5909.50

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

I = 5575 × 0.03 × 2 = 334.5

I = $ 334.50

The simple interest accumulated

on a principal of $ 5,575.00

at a rate of 3% per year

for 2 years is $ 334.50.

Answer:

40 degrees

Step-by-step explanation:

because angle b and angle a are vertical angles they are congruent and if they add up to 280 you just have to divide that by 2 to get the value of one of the angles

280/2=140

because angle c and angle b are supplementary they are going to add up to equal 180

180-140=40 so c=40

Answer:

40

Step-by-step explanation:

Answer:

12.5 is the awnser hope i helped

Step-by-step explanation:

Answer:

The answer would be 13 3/4

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Estimation:

3 1/3 --> 3

4 1/8 --> 4

3 x 4 ~ 12

Hope that helps!

Answer:

[tex]\dfrac{(a+b)}{ab}[/tex]

Step-by-step explanation:

The given expression is :

[tex]\dfrac{a}{ab-b^2}+\dfrac{b}{ab-a^2}[/tex]

It can be solved as follows :

[tex]\dfrac{a}{ab-b^2}+\dfrac{b}{ab-a^2}=\dfrac{a}{b(a-b)}+\dfrac{b}{a(b-a)}\\\\=\dfrac{a}{b(a-b)}+\dfrac{b}{-a(-b+a)}\\\\=\dfrac{1}{a-b}(\dfrac{a}{b}-\dfrac{b}{a})\\\\=\dfrac{a^2-b^2}{ab(a-b)}\\\\=\dfrac{(a-b)(a+b)}{ab(a-b)}\\\\=\dfrac{(a+b)}{ab}[/tex]

So, the solution of the given expression is equal to [tex]\dfrac{(a+b)}{ab}[/tex].

Answer:

4

Step-by-step explanation:

To find the median (middle) of the data set, first arrange the numbers in order: 0, 2, 3, 4, 7, 7, 12. Now find the middle number: 4.

Hope it helps!

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{x+2}{x+10}=\frac{1}{2}\\ \\ 2(x+2)=x+10\\ \\ 2x+4=x+10\\ \\ 2x-x=10-4\\ \\ x=6[/tex]

Answer: d=44.49

Step-by-step explanation: if had three pairs of shoes the awser would be ,

Answer:

x=2,y=-5

Step-by-step explanation:

−4x+3=x−7

x=2; y=−5

​

Answer:

y = -5 and x = 2

Step-by-step explanation:

substitute y in the first equation with x-7 from the second equation

x-7 = -4x+3

combine like terms

5x = 10

solve for x

x = 2

plug in x into either equation to solve for y (I used the second equation, but you can use either)

y = 2-7

y =-5

Answer:

2/3x + 29/12

Step-by-step explanation:

P.S Brace yourself cause this is a lot lol :D

The slope-intercept form is

y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

First, you divide each term by 12 and simplify:

Divide each term in 12y = 8x + 29 by 12:

12y/12 = 8x/12 + 29/12

Cancel the common factor of 12:

You do this by dividing 12y/12 leaving you just with y = 8x/12 + 29/12

Then you cancel the common factor of 8 and 12:

You do this by factoring 4 out of 8x:

y = 4 (2x)/12 + 29/12

Then you cancel even more common factors:

Factor 4 out of 12:

y = 4 (2)/ 4 (3) + 29/12

Then you cancel the common factor in that dividion (which is 4) Leaving you with 2x/3 + 29/12

Finally, you rewrite the expression:

y = 2/3x + 29/12

Answer: 105

Step-by-step explanation:

101+95+59= 255

360-255=x

255+x=360

255+150=360

x=150

Answer:

minimum: ([tex]\frac{\sqrt{3} }{3} , -\frac{8\sqrt{3} }{9}-2[/tex])

maximum: (-[tex]\frac{\sqrt{3} }{3} , \frac{8\sqrt{3} }{9}-2[/tex])

vertical intercept: (0 , -2)

Step-by-step explanation:

Answer:

204

Step-by-step explanation:

separate into 2 squares/rectangles

13×12(because 20-8 since you cut it in half)

8×6

156+48=204

Answer:

9,203.97 cm^3

Step-by-step explanation:

Here, we want to calculate the volume of the sphere of radius 13 cm

The formula for this;

V = 4/3 * pi * r^3

V = 4/3 * 3.142 * 13^3

V = 9,203.97 cm^3

Answer:

..... .

Step-by-step explanation:

......... ......

Answer:

using the (pi) which is the formula

9514 1404 393

Answer:

  it depends on what measure you want

Step-by-step explanation:

The angular measure of an arc of a circle is equal to the central angle it subtends.

  θ = θ

__

The length measure of an arc of a circle is equal to the product of the central angle in radians and the radius.

  s = rθ

Answer:

angle E is congruent to Angle F

Answer:

30ft2.  so its c

Step-by-step explanation:

its 30

quiz verified

Answer:

gracias mijita mia flou del bueno se nesesita flou papumkñlovgjkAqwsZdeXrg

Answer:

a

Step-by-step explanation:

Answer:

x=-1

Step-by-step explanation:

Step 1: Factor

[tex]x^{2} +2x+1[/tex] => [tex](x+1)(x+1)[/tex]

Step 2: Solve for x.

[tex]x+1=0[/tex]

   [tex]-1[/tex]     [tex]-1[/tex]

-----------------

[tex]x=-1[/tex]