The population of a county is growing at a rate of 9% per year, compounded continuously. If the county currently has 14,934 people, how many will there be in this county in 10 years? Round to the nearest person.

Answer:

Need a calculator

Step-by-step explanation:

This will be hard to explain without the ability to draw an example.

The one thing you can memorize is SOH - CAH - TOA

This stands for SIN(Opposite/Hypotenuse), COS(Adjacent/Hypotenuse) and TAN(Opposite/Adjacent).

When you know the angles of a right triangle and at least one side length, you can get the length of all the sides.

So a right triangle has two legs (sides) and the hypotenuse.  If you use the first angle ( 30 degrees)  you can use the formulas above to calculate the side length.

Pick either the SOH or the CAH.  Let's use SOH and write out the equation:

SIN(30 degrees) = Opposite Side divided by the Hypotenuse (11mm)

You can solve for the Opposite Side by multiplying both sides of the equal sign with 11mm.    You end up with SIN(30 degrees) X 11m = Opposite Side.

So the side directly across from the 30 degree angle should be 5.5mm

You can do the exact same thing with the 60 degree angle.

SIN(60 degrees) = Opposite Side divided by Hypotenuse (11mm)   OR

SIN(60 degrees) X 11mm = Opposite Side

This comes out to about 9.5mm

You can check the math by using the other equation CAH

Start with the 30 degree angle and solve for the adjacent side.  This is the side that is touching the 30 degree angle.  Equation will be

COS(30 degrees) X 11mm = Adjacent Side  or  about 9.5mm

The other equation will give you the side that is touching the 60 degree angle.

COS(60 degrees)  X 11mm = Adjacent Side or  5.5mm

You can also use one last thing to check your math.  The Pathagorean Theorem says in a right triangle  [tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex] where C is the hypotenuse and A and B are the two sides.

[tex]5.5^{2}[/tex]  +  [tex]9.5^{2}[/tex]  should equal  [tex]11^{2}[/tex].  Give or take a few decimal places, it's almost exactly 11 (10.977 to be exact).

Answer:c

Step-by-step explanation:

Answer:

a) [tex]\sqrt{90}[/tex]

Step-by-step explanation:

The square root of 90 is approximately 9.487.

Answer:

The answer is A.Cos 57.

Step-by-step explanation:

Took the test..

Answer: 9x + 45 = 9x + 45 Infinitely many

Step-by-step explanation: Use distributive property for the left and add like terms for the right

Answer:

9,45,9,45 and infinite

Step-by-step explanation:

ngl im probably wrong but i tried

Answer: x=8 and DE=31

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Replace x with the given value and solve.

[tex]x-(-4)\\\\3-(-4)\\\\3+4\\\\\boxed{7}[/tex]

Hope this helps.

Step-by-step explanation:

It is rational because you can write it as 3 657/1000 which is a fraction. It also is not repeating with no pattern which also means it is rational.

Answer:

24abc

Step-by-step explanation:

(-c)*(-2a)*12b

Multiply the numbers

-1 * -2 *12 = 24

Multiply the variables

c*a*b = abc

Put it back together

24abc

Answer:

x=9

Step-by-step explanation:

-2x+9=-4x+27

first you want to get the -4x on the other side of the equal sign you do that by -4- -4 which will cancel them out and you do -2 - -4 = 2x

now you have 2x+9=27 now you do 9-9 which will cancel them out and you do 27 - 9 = 18

Now you have 2x=18 then you want to divide 2 by 2x which will cancel out the 2 and you want to divide 2 by 18 which equals 9 so you answer is x=9

hope this helps

use desmos to find the answer it really helps :)

Answer:

es

Step-by-step explanation:

Answer:

A. 14,406. it runs by a -7 sequence, so D would be the 6th in the sequence.

Step-by-step explanation:

Answer:

1. Total amount of the five checks is $132.95.

2. She owed $16.47 before tax.

3. quizzes- 53 pts

   projects-129 pts

   tests-272 pts

   for grading period-454 pts

4. Tim-399

   Jane-401

   Felipe-412

   Chen-419

   team-1,631

Can i get brainliest please?

✧･ﾟ: *✧･ﾟ:*hello there!*:･ﾟ✧*:･ﾟ✧

✧here is your answer:

.・゜゜・d. 2s + 6・゜゜・．

♥⛧i hope this helps!!

✧༺♥༻∞lmk if you need help on anything else!!∞༺♥༻✧

❀-kay♬

Answer:

x+y=4+8=12

$12 for one of each

or if you mean indivually (the wording confused me)

$4 for child, $8 for adult

Step-by-step explanation:

x=adult

y=child

2x+10y=56

4x+5y=52

iin order to be able to subtract values and find x and y im going to multiply 4x+5y=52 by two and get 8x+10y=104

8x+10y=104

-2x+10y=56

6x=48 divide each side by 6

x=8

plug 8 back into an equation to find cost of y

2(8)+10y=56

-16            -16

10y=40

y=4

Answer:

175 km

Step-by-step explanation:

1.5/75=3.5/x

1.5x=262.5

x=175

Answer:

8 degrees

Step-by-step explanation:

The temperature was -7 and then rose by 15, -7 +15 = 8

[tex]0.0063 = 63 \times {10}^{ - 4} = 6.3 \times {10}^{ - 3} \\ [/tex]

Done... ♥️♥️♥️♥️♥️

Answer:

what she said ^^ :)

Answer:

Answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i just take the test

Answer:

136.2

Step-by-step explanation:

Answer:

136.2

Step-by-step explanation:

1634/12=136.1666666667=136.2

Answer:

B

Step-by-step explanation:

The domain of the function 'f' represents  the set of all whole numbers.

A function is a relation between two sets. One set is called domain of the function and the other one is called range range of the function.

Given function is: f(x) = 0.41x.

f(x) represents the cost of mail.

Here, x represents the number of letters in the mail.

It can't be real numbers because, real numbers consist of negative numbers, fractions, etc.

It can not be integers, real numbers consist of negative numbers.

Therefore, the domain of must be all whole numbers.

Learn more about a function here:

https://brainly.com/question/8473577

#SPJ2

Answer:

the answer is a

Step-by-step explanation:

you times the 1/6 by 2 to get 2/12 then 3/4 by 3 to get 9/12 so all your fractions have the same denominator and the do the rest of the math with the new fractions and the same whole numbers that went with them. hope this helps

Answer:

B. Exactly one solution

Step-by-step explanation:

Here's something that I learned. Same slope different y-intercept (no solution). Same slope and same y-intercept (Infinitely many solutions). Different slope and same y-intercept (one solution). Different slope and different y-intercept (one solution).

Answer:

x = 5

Step-by-step explanation:

90 - 55 = 35

8x - 5 = 35

    +5    +5

8x = 40

x = 5

Answer:

15 (mark me brainliest if you want and lmk if you need more help understanding)

Step-by-step explanation:

perimeter is (l*w)*2

if a pentagon is 5 sided, you do 75/5 which is 15.

each side has 15 cm

Answer:

B. y<=-2x+1

Step-by-step explanation:

Answer:C

Step-by-step explanation:

You can graph the answer into desmos, a website which helps you graph, I graphed it and got C.

Answer:

4th one please give me brainliest

Step-by-step explanation:

Answer:

its on google

Step-by-step explanation: