PLEASE HELP !!!!
The original price of a sofa is $500.
a. If the sofa price decreased by 20%, what is the new price?
b. The company can’t sell the sofa after 3 weeks so they reduce the price to $320. What is the percent decrease?
c. If the company reduces the price in week 4 to $290, what is the percent decrease?

Answer:

There is no work shown

Step-by-step explanation:

So you find the derivative root X you'll get 1 over 2 X to the power 1 by 2 and exactly after that you write the formula for the approximation.

Answer:

1) Part A

The function that models the situation is P = 8,300·(1 - 0.12)ⁿ

Part B

2626 people

Part C

1575 people

2) Part A

The function that models the situation is A = 342.000·(1 - 0.06)ⁿ

Part B

The value of the hose in 2025 is approximately $208,472.6

Part C

The value of the hose in 2032 is approximately $135,189.8

Step-by-step explanation:

1) Part A

The given parameters are;

Martianville population in 2012, P₀ = 8,300 people

The percentage annual decrease in the population, r = -12% = -0.12

The formula for the growth of a population is presented as follows;

P = P₀·(1 + r)ⁿ

Where;

P = The population amount at a later time

P₀ = The initial amount of the population

r = The rate of the population growth

n = The number of years

Therefore;

The function that models the situation is P = 8,300·(1 - 0.12)ⁿ

Part B

The population that will attend Martianville in 9 years is given as follows;

P₉ = 8,300 × (1 + (-0.12))⁹ = 8,300 × (1 - 0.12)⁹ ≈ 2626.77

Therefore, by rounding down to the next whole person, the population that will attend Martianville in 9 years, P₉ = 2626 people

Part C

The population that will attend Martianville in 13 years is given as follows;

P₁₃ = 8,300 × (1 - 0.12)¹³ ≈ 1575 people

2) Part A

The price at which the house was bought, A₀ = $342,000

The rate of decrease of the value of the house = 6% therefore, r = -0.06

The function that models the situation is presented as follows;

A = A₀·(1 + r)ⁿ

Therefore;

The function that models the situation is A = 342.000·(1 - 0.06)ⁿ

Part B

The number of years between 2025 and 2017 = 2025 - 2017 = 8 years

The value of the hose in 2025, A₂₀₂₅ = 342.000·(1 - 0.06)⁸ = 208,472.576981

The value of the hose in 2025, A₂₀₂₅ ≈ $208,472.6

Part C

The number of years between 2032 and 2017 = 2032 - 2017 = 15 years

The value of the hose in 2032, A₂₀₃₂ = 342.000·(1 - 0.06)¹⁵ = 135,189.795176

The value of the hose in 2025, A₂₀₃₂ ≈ $135,189.8

Answer:

28

Step-by-step explanation:

32 - 9 = 23,

24 + 4 = 28

Answer:

28, If you need any more help lmk

Step-by-step explanation:

Answer:

Answer: 13÷14 is equal to 13/14

Answer:

no- it doesnt make me blush- and uh- i look at them and then away- and then start to draw or read-0-0

Step-by-step explanation:

Answer:

that was my question

Step-by-step explanation:

jzjzjjzjzjxjxjxjxk k

Answer:

Step-by-step explanation:

area=(20 ×20)÷2=200 sq . units

A rational number is a number that can be expressed as a fraction of integers.

The conclusion the student can make about product xy is that:

D- the product ry is rational because it can be written as the quotient of an Integer and a nonzero Integer.​

Given that:

[tex]x = \frac ab[/tex]

[tex]y = \frac cd[/tex]

The product xy is:

[tex]x \times y = \frac ab \times \frac cd[/tex]

So, we have:

[tex]x \times y = \frac{ac}{bd}[/tex]

From the question, we understand that:

[tex]Integers \to a, c[/tex]

This means that, ac would be an integer (by closure property)

Also:

[tex]Non\ zero \to b,d[/tex]

This means that, bd would be non-zero i.e. [tex]bd \ne 0[/tex]

So, we have:

[tex]x \times y = \frac{ac}{bd}[/tex]

[tex]x \times y = \frac{Integer}{Non\ zero}[/tex]

The quotient of an integer and a non-zero integer is always be rational.

Hence, option (d) is correct.

Read more about rational numbers at:

https://brainly.com/question/15815501

Here’s the answer :)

Answer:

960

Step-by-step explanation:

We need to find 1/5 of 4800, we will do:

4800/5=960

So 960 is our answer.

Answer:

x = -8/5 = -1 3/5

Step-by-step explanation:

2{x-3}+3{x+3}={-5}

Expanding the brackets:

2x - 6 + 3x + 9 = -5

5x = -5 + 6 - 9

5x = -8

x = -8/5.

Answer:

x=-8/5 is your answer

Step-by-step explanation:

2{x-3}+3{x+3}={-5}

2x-6+3x+9=-5

5x+3=-5

5x=-5-3

x=-8/5

9514 1404 393

Answer:

  B.  x = 2√11

Step-by-step explanation:

The square of the length of the diagonal is ...

  d² = 6² + 8² = 36 +64 = 100

Then the length of x is found from ...

  d² +x² = 12²

  x² = 144 -100 = 44 . . . . . subtract d²

  x = √44 . . . . . . take the square root

  x = 2√11

Answer:

SO WE KNOW THE RADIUS OF EACH SEMI CIRCLE IS 45. SO NOW :

YOU ARE GOING TO ADD THE AREA OF BOTH HALF CIRCLES TO THE AREA OF THE RECTANGLE.

= 26,217FT SQ.

Answer:

C, 19858.5 [tex]ft^2[/tex]

Step-by-step explanation:

Imagine that these are two semi-circles on either side of a rectangle

the diameter of the semi circle is 90, and the radius is half of the diameter.

this means the radius is 45 (for both circles)

so now lets apply that to the area of a full circle, [tex]\pi r^2[/tex]

replace r with the radius [tex]\pi 45^2[/tex]

using 3.14 as pi, your answer should be 6358.5

but now remember that his is the area of a full circle, not a semi circle, so we must divide by 2 to get the semi circle area, which would then be 3179.25

since there's two semi circles, you would multiply this by two and now you're back to 6358.5

if that was confusing you can think of it as a full circle split into two parts on either side of the rectangle rather than two semicircles, so the two split pieces would add together to make the area of a full circle

now calculate the area of the rectangle, which is length times width

150 * 90 = 13500

so add the area of the rectangle to the area of the two semicircles and the answer is 19,858.5 :)

Answer:

area of whole pizza = 200.96 in²

area of slice of pizza = 25.12 in²

Step-by-step explanation:

16"/2 = 8" radius

area = πr² = (3.14)(8²) = 200.96 in²

200.96 in²/8 = 25.12 in²

The area of the square sandbox is 1,296 square inches

The area of a square is the measure of the space or surface occupied by it. It is equal to the product of the length of its two sides. Since the area of a square is the product of its two sides, the unit of the area is given in square units.

Area of a square = Side × Side

                            =  [tex]Side ^{2}[/tex]

According to the question

Side of a square sandbox =  36 inches

Therefore,

The area of the square sandbox =  [tex]Side ^{2}[/tex]

                                                      =  [tex](36)^{2}[/tex]

                                                      =  1,296 square inches

Hence, the area of the square sandbox is 1,296 square inches

To  know more about area of square here:

https://brainly.com/question/1658516

#SPJ2

Answer:

wow good luck mines due in 5 mins and im stuck hahah

Step-by-step explanation:

Answer:

33920 or 530 im not 100% sure

i think sorry if im wrong

Step-by-step explanation:

Answer:

-2r3t2 + 3rt – 16

Step-by-step explanation:

Like terms have the same variables with the same exponents on each variable. Add their coefficients, and keep the same variables and exponents.

Answer:

24

Step-by-step explanation:

To find how many 1/12 are in 2 divide 2 by 1/12

2/(1/12) = 2 x 12 = 24

Answer:

a=(v-u)/t

Step-by-step explanation:

v=u+at

subtract u on both sides

v-u=at

divide both sides by t

(v-u)/t=a

or

a=(v-u)/t

Answer:

72%

Step-by-step explanation:

%/100 = is/of Write formula

x/100 = 36/50 Substitute known values

50x=3600 Cross multiply

/50   /50 Divide both sides by 50 to isolate x

x    =72

Answer:

[tex]b = 3[/tex]

The value of y triples

Step-by-step explanation:

Given:

[tex]\begin{array}{cccccc}x & {-2} & {-1} & {0} & {1} & {2} \ \\ y & {\frac{2}{9}} & {\frac{2}{3}} & {2} & {6} & {18} \ \end{array}[/tex]

Required

Determine b value

An exponential equation is:

[tex]y = ab^x[/tex]

When [tex]x = 0; y =2[/tex]

So:

[tex]y = ab^x[/tex]

[tex]2 = a * b^0[/tex]

[tex]2 = a[/tex]

[tex]a = 2[/tex]

When [tex]x = 2; y = 18[/tex]

So:

[tex]18 = a * b^2[/tex]

Substitute 2 for a

[tex]18 = 2 * b^2[/tex]

Divide by 2

[tex]9 = b^2[/tex]

Take positive square roots of both sides

[tex]3 = b[/tex]

[tex]b = 3[/tex]

Answer:  Angle 3 and Angle 9

Step-by-step explanation:

Answer:

3 9

Step-by-step explanation:

Answer:

-7g+13

Step-by-step explanation:

b) because combining like terms results in:

g-8g=7g

and

15-2= 13

Answer: D

Step-by-step explanation:

Answer:

Solve (x+2/x-3);(x-2/x-3) Equating the equation to zero and taking out (x-3) as common denominator (x+2)(x-2)/ (x-3)2 Solving using the identities we get => (x2– 4)/(x2 -6x + 9)= 0 => (x2– 4)=(x2-6x + 9) => -4= -6x +9 => -4 -9= -6x => -13= -6x => 13=6x => x= 13/ 6