Pine Bluff, Ark has been continuously declining in population at a rate of 12.5 percent due to unemployment. If
the city's current population is 100,258 then in how long before the population drops to 87,751 at this current rate?
(Round your answer to the nearest year)
a. l
b. 3
C. 4
d. 2

[tex] \qquad \qquad \sf \: \huge Answer♨[/tex]

Let's simplify ~

[tex]\qquad \sf  \dashrightarrow \:2x + 5 + x - 6 + 3x[/tex]

[tex]\qquad \sf  \dashrightarrow \:(2x + x + 3x) + (5 - 6)[/tex]

[tex]\qquad \sf  \dashrightarrow \:6x + ( - 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \:6x - 1[/tex]

[tex]\qquad \sf  \dashrightarrow \:x - 8 + x - 5 + x + 1[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x + x + x) + ( - 8 + ( - 5) + 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \:3x + ( - 12)[/tex]

[tex]\qquad \sf  \dashrightarrow \:3x - 12[/tex]

Answer: (1)

Step-by-step explanation:

Answer:

i think that is the second one but im not sure.

The answer is: Yes, all conditions for inference are met.

Answer:

1884

Step-by-step explanation:

square the 10 which is 100 and multiply 6 which is 600 and then multiply 600*3.14 which is 1884

Please mark as brainliest

Answer:

9.5

Step-by-step explanation:

First order them:

5, 5, 8, 11, 12, 14

The go to the middle

2, 8, 11, 12

8, 11

8 + 11 = 19

19 / 2 = 9.5

Answer:

9.5 is your answer

Answer:

A

Step-by-step explanation:

(1.7x10²³) and (3.4x10²³) cancel into 0.5.

0.5(8x10^-14) = 4x10^-14

Answer:

13.6x/3.4 x 10^14 This is a fraction by the way hope this helps

Step-by-step explanation:

13.6

x

3.4

⋅

10

14

Answer:

5

Step-by-step explanation:

[tex]\frac{(44+9^2)}{5^2}[/tex] = [tex]\frac{44+81}{25}[/tex] = [tex]\frac{125}{25}[/tex] = 5

The total amount accrued, principal plus interest, from simple interest on a principal of $25,000.00 at a rate of 15% per year for 6 years is $47,500.00.

Answer:

I =  $22,500.00

A = $47,500.00

Given Data

Principal = $25000

Rate = 15%

Time = 6 years

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 15%/100 = 0.15 per year.

Solving our equation:

A = 25000(1 + (0.15 × 6)) = 47500

A = $47,500.00

I = A - P = $22,500.00

Learn more about simple interest here:

https://brainly.com/question/20690803

Answer:

Step-by-step explanation:

Answer:

31 cm2

Step-by-step explanation:

Rectangle 5X2 = 10 cm2

Triangle (6)(7)/2 = 42/2 = 21 cm2

Total area = 10 + 21 = 31 cm2

Hope this helps

Answer:

48 ounce bag of granola per month.

T = 48x

Where 'x' represents the months.

Replace x with 12, because we want to know how many ounces she eats each year.

T = 48x

T = 48(12)

T = 576 ounces, she eats each year.

Answer: 40 degrees

Step-by-step explanation:

Answer:

A = $13,116.03

Step-by-step explanation:

the equation used for compound is  A = Pe^rt, where p= principle, r=rate(interest) e=2.71828, and t=time. first convert the rate into a decimal, then plug in the numbers into the equation.

A = 10,000.00(2.71828)^(0.03875)(7)

Answer: 37

To maximize the length of the third side, which I'll call x, it needs to be the longest side.

So by the triangle inequality theorem, 19+19>x, meaning the maximum whole number value of x is 37.

Answer:

No

Step-by-step explanation:

→ Substitute the x value into the equation

-9 × 1 + 1

→ Simplify

-8

→ Compare to given y value

0 ≠ -8

Answer:

no

when you substite the values you don't get the same values

Answer:

Step-by-step explanation:

7) Volume of the shape = Volume of triangular prism - volume of cylinder

Triangular prism:

[tex]\boxed{ \text{Volume of triangular prism = base area * h }}[/tex]

b = 6 ft & height of the triangle = 5 ft

[tex]\sf Base \ area = \dfrac{1}{2}* 6* 5[/tex]

               = 3*5

               = 15 ft²

Volume of prism = 15 * 4

                           = 60 ft³

Cylinder:

r = 2÷2 = 1 ft & h = 4 ft

Volume of cylinder = 3.14 * 1 * 1 * 4

                                = 12.56 ft³

Volume of the shape = 60 - 12.56

                                    = 47.44 ft³

8) Volume = Volume of Pyramid -  Volume of cone

[tex]\boxed{\text{Volume of the Pyramid = base area * h} }[/tex]

[tex]\text {base area = length * width}\\\\\\[/tex]

                = 9 * 9

                = 81 m²

Volume of Pyramid = 81 * 8

                                = 648 m³

[tex]\boxed{ \text{Volume of cone = \dfrac{1}{3} \pi r^{2}h}}[/tex][tex]\boxed{ \text{Volume of cone = $\dfrac{1}{3} \pi r^{2}h$}}[/tex]

r = diameter ÷ 2 = 6÷2

r = 3 m & h = 8 m

[tex]\text{ Volume of cone =$\dfrac{1}{3}*3.14* 3*3*8$}[/tex]

                        = 3.14 * 3 * 8

                        = 75.36 m³

Volume of the shape = 648 - 75.36

                                     = 572.64 m³

9) Volume of the shape = volume of cylinder + volume of cone

Cylinder:

h = 7 in ; r = 3

[tex]\boxed{\text{Volume of cylinder =$ \pi r^{2}h$}}[/tex]

                                [tex]=\dfrac{22}{7}*3*3*7[/tex]

                                  = 22 *3 * 3

                                   = 198 in³

Cone:

r = 3 in & h = 4 in

[tex]\text{Volume of cone = $ \dfrac{1}{3}*3.14*3*3*4$}[/tex]

                         = 3.14 * 3 * 4

                          = 37.68 in³

Volume of the shape = 198 + 37.68

                                     = 235.68 in³

10) Volume of the shape = Volume of outer cyliner - volume of inner cylinder

Volume of outer cylinder:

R = 9 m  & h = 3 m

Volume of outer cylinder = 3.14 * 9 * 9 * 3

                                          = 763.02 m³

Volume of inner cylinder:

r = 5 m & h = 3 m

Volume of inner cylinder = 3.14  * 5 * 5 * 3

                                          = 235.5 m³

Volume of the shape = 763.02 - 235.5

                                    = 527.52 m³

Answer:

-31

Step-by-step explanation:

Expand 3(2x-7) - 2(3x+5)

Distribute:

3(2x-7)

6x - 21

-2(3x+5)

-6x - 10

Add:

 6x - 21

- 6x - 10

      - 31

Hope this helps!

Answer:

[tex]\boxed{\sf{-31}}[/tex]

Step-by-step explanation:

If you want to solve this, you must expand by a distributive property.

Distributive property:

3(2x-7)-2(3x+5)

3(2x-7)

3*2=6

3*7=21

Rewrite the problem.

6x-21

6x-21-2(3x+5)

-2(3x+5)

-2*3=-6

-2*5=10

-6x-10

Rewrite the problem down.

6x-21-6x-10

Combine like terms.

6x-6x-21-10

Add similar into their elements.

6x-6x=0

-21-10

Solve.

Subtract the numbers from left to right.

-21-10=-31

-31

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

1. 5/12

2. 3/8

3. 1/4

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

We have to move -3y to by itself so we move 43 to the other side, when we do this 43  becomes negitive.

-3y = 16 - 43

-3y = -27

Now we divide -27 by -3

y = -27/-3

y = 9

[tex]\rightarrow\sf{y \:=\: 9}[/tex]

[tex]\rightarrow\sf{43 - 3y\: = \:16}[/tex]

[tex]\rightarrow\sf{-3y\: = \:16-43}[/tex]

[tex]\rightarrow\sf{-3y\: = \:-27}[/tex]

[tex]\rightarrow\sf{3y \:= \:27}[/tex]

[tex]\rightarrow\sf{y\: = \:\frac{27}{3}}[/tex]

[tex]\rightarrow\sf{y \:= \:9}[/tex]

Therefore, value of unknown y = 9.

_________________________________

Hope it helps you:)

Answer:

5 11/13 km

Step-by-step explanation:

4 ( 1 6/13)

4× 19/13

= 5 11/13

Answer:

[tex]x = -21[/tex]

Step-by-step explanation:

[tex]\frac{294}{x} = -14[/tex]
Cross multiply:
[tex]-14x = 294[/tex]
[tex]x = -21[/tex]

Answer:

72

Step-by-step explanation:

1 large cube is 2 x 3 cubes equals 6

length is 3 x 4 x 2 = 24

24 x 3 = 72 for each layer

72 x 2 = 144 smaller cubea

Answer:

Squaring a number.

Step-by-step explanation:

The square root is an operation that undoes an exponent of 2, which is the inverse operation of squaring a number.

Answer:

step by step solution:

(r/p)(9) = (9+1)²/(9-4) = 100/5 = 20

(q.s)(3) = (-2(3)+7).(3(3)² - 5(3)) = 1×12 = 12

(q/r)(-1) = (-2(-1) + 7)/(-1+1)² = 9/0 = Undefined

(t + s)(4) = -(4)² + 4(4) + 9 + 3(4)² -5(4) = -16 + 16 +9 + 48 - 20= 37

(s o p)(8) = s(p(8)) = s(8-4) = s(4) = 3(4)² -5(4) = 48 - 20 = 28

(q o t)(7) = q(t(7)) = q(-(7)² + 4(7) + 9) = q(-12) = -2(-12) + 7= 24+7 = 31

(r o u)(1) = r(u(1)) = r(1+6) = r(7) = (7+1)² = 64

(t o s)(0) = t(s(0)) = t(0) = 9

(u-p)(-3) = (-3)³ + 6(-3) - (-3) + 4 = -27 -18 + 3 + 4 = -38

(u o r)(-2) = u(r(-2)) = u((-2+1)²) = u(1) = 1 + 6 = 7

(q o q)(6) = q(q(6)) =q (-2(6) + 7) = q(-5) = -2(-5) + 7 = 17

END

Answer:

A) (-5,0) and (-4,0)...

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♪[/tex]

X - intercepts are the points where the curve cuts x - axis ~

for the given curve (parabola), the intercepts are :

[tex]\qquad \sf  \dashrightarrow \:(-5,0) \: \: and \: \: (-4, 0)[/tex]

The Correct choice is A

[tex]➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖[/tex]

Answer:

I think Angle T is 36 degree

I think it will help you

Answer:

$22.50

Step-by-step explanation:

105/6= 17.5 each

17.5+5= 22.5