A company makes a very durable product. The company sells 20,000 products in the first year but will be diminishing sales due to the product's durability, so each year it can expect to sell only 75% of the quantity it will have sold the year before. How many products can the company expect to eventually sell?

a. 26,667 products
b. 40,000 products
c. 80,000 products
d. 35,000 products

Answer:

Step-by-step explanation:

A half-life of 9 minutes corresponds to a decay factor k such that

[tex]\dfrac12=e^{9k}\implies k=-\dfrac19\ln\left(\dfrac12\right)[/tex]

Then the time it takes for the substance to decay from 610 g to 124 g is time t such that

[tex]124\,\mathrm g=(610\,\mathrm g)e^{kt}[/tex]

Solve for t :

[tex]\dfrac{62}{305}=e^{kt}[/tex]

[tex]\ln\left(\dfrac{62}{305}\right)=kt[/tex]

[tex]t=\dfrac1k\ln\left(\dfrac{62}{305}\right)\approx20.686[/tex]

so it takes about 20.7 min for the 610 g sample to decay down to 124 g.

Answer:

72 is 45% of 160. I hope this helps :D

Answer:

3000 + 250x = his monthly pay

Step-by-step explanation:

x=how many cars he sells

Answer:

B

Step-by-step explanation:

Its either between B or D but B is the most correct

BRINALIEST PLS

Answer:

B: Sophia used a convenience sample, so it is not an accurate        representation of the population.

Step-by-step explanation:

I got it correct on USATestPrep

Hope this helped!

From: Aug1e

Answer:

4, 9, and -1

Step-by-step explanation:

Please give me brainliest

Answer:

4x+9-y

The 4 is your coefficient. X and Y are your variables and 9 is your constant.

Answer:

x=10 degrees

Step-by-step explanation:

8x-12=6x+8

2x=20

x=10

Answer:3808 cupcakes

Step-by-step explanation: 56 times 68

Answer:

I don't know but do you know how to answer this:

Two similar right triangles have areas of 6 square inches and

150 square inches. The length of the hypotenuse of the smaller

triangle is 5 inches. What is the sum of the lengths of the legs

of the larger triangle?  

Answer:

:>

Step-by-step explanation:

Answer: Option E is the correct answer; (1 + p⁴) / (1 + p³)

Step-by-step explanation:

P (3 head) = P(first and 3 heads) + P(second coin and 3 heads)

= (1/2)×1³ + (1/2)× p³ = (1/2) × (1 + p³)

therefore P(first coin given 3 heads) = (1/2)×1³/ ((1/2)×(1 + p³))

= 1 / (1 + p³)

Also P( second coin given 3 heads) = p³ /(1 + p³)

therefore P(4th toss in heads given first 3 are heads)  will be;

= P(first and 4th toss heads) + P(second and 4th toss heads)

=(1/( 1 + p³ )) × 1 + p³ / (1+p³) × p

= (1 + p⁴) / (1 + p³)

Therefore Option E is the correct answer

Answer: The highest score is 66

Step-by-step explanation: First we need to set the problem up.

x - 39 = 27

Next solve the problem.

Get x by itself by getting rid of the negative 39

x - 39 + 39 = 27 + 39

Add/Subtract

x = 66

You don’t need to simplify anymore so leave the problem alone since you already have the answer.

Hope it helped you guys!

Answer:

X=5 y=15

Step-by-step explanation:

you got to solve the first variable in the first equation, then substitute the result in to the other.

Solution for the system of equations y = -5x + 40 and y = 3x are:

x = 5 , y = 15 .

The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.

Given equations

y = -5x + 40   ------(a)

y = 3x           -------(b)

Substituting value of y from equation (b) to equation(a)

3x = -5x + 40

⇒ 3x + 5x = 40

⇒ 8x = 40

⇒ x = 40/8

⇒ x = 5

Substituting value of x in equation (b)

y = 3 × 5

⇒ y = 15

Hence, x = 5 and y = 15 are the solutions

for the system of equations

y = -5x + 40 and y = 3x

Learn more about substitution method here:

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#SPJ2

Answer:

4.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Is there another part to the question? Maybe the original function?

Answer:

Step-by-step explanation:

The absolute value equation for the amount of money in Sandy's pocket is given as;

|x - 245| = 25

The equation for the maximum amount of money in Sandy's pocket is given as;

x - 245 = 25

x = 25 + 245

x = $270

The equation for the minimum amount of money in Sandy's pocket is given as;

x - 245 = -25

x = -25 + 245

x = $215

Responder:

a) 15 cm x 5 cm x 7 cm Explicación paso a paso:

Nota: no se adjuntó ninguna imagen a esta pregunta, sin embargo, podemos proceder a una solución a este problema.

Paso uno: Datos dados Podemos deducir de las opciones que los parámetros de la caja son los siguientes

Largo L = 15cm

Ancho W = 5cm

Altura H = 7 cm

Segundo paso: El espacio que ocupa la caja en el armario es equivalente al volumen de la caja. Por tanto, el volumen de la caja se expresa como

Volumen = L * W * H

Volumen = 15 cm * 5 cm * 7 cm

Por tanto, la opción A es correcta

The expression that is equivalent to the given expression is 10(2x)².

The equivalent expression is obtained by simplifying the given expression as shown below;

40x², where, x ≠ 0

expand the expression as follows;

40x² = (10 x 4)x²

        = (10 x 2²)x²

        = 10(2²x²)

        = 10(2x)²

Thus, the expression that is equivalent to the given expression is 10(2x)².

Learn more about equivalent expression here: https://brainly.com/question/2164351

Answer: 4x^2 sqrt(29) / 29

Step-by-step explanation:

Step-by-step explanation:

V

=

a

2

h

3

=

142

2

·

93

3

=

6.25084×105

The volume of the ancient stone pyramids in Egypt with a side of 142 m and a height of 93 m is 652,084 m³.

A Square Pyramid is a pyramid with the base as a square. It is also known as pentahedron. It has 5 faces out of which 4 are triangles while 1 is a square.

The volume of the square pyramid is one-third of the product of the area of the square and the height of the pyramid. Thus, the volume of the square pyramid with a side length of 142 m and a height of 93 m can be written as,

[tex]\rm \text{Volume of square pyramid} = \dfrac13 \times \text{(Area of square)} \times Height[/tex]

                                          [tex]= \dfrac13 \times (142)^2 \times 93\\\\= 625,084\rm\ m^3[/tex]

Hence, the volume of the ancient stone pyramids in Egypt with a side of 142 m and a height of 93 m is 652,084 m³.

Learn more about Square Pyramid:

https://brainly.com/question/15219357

Answer:

The answer is a^6 b^18

Step-by-step explanation:

Answer:

X^2 -5x -36

Step-by-step explanation:

formula of an area of a rectangle: ab

a-length

b-width

(x+4)*(x-9) = x^2 -5x -36

Answer:

[tex]m = (2,6)[/tex]

Step-by-step explanation:

Given

A(5, 8) and B(-1,-4)

Required

Determine the midpoint

Represent the midpoint with m

m is calculated as thus:

[tex]m = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]

Where:

[tex](x_1,y_1) = (5,8)[/tex] ---- A

[tex](x_2,y_2) = (-1,4)[/tex] ------ B

So, the expression:

[tex]m = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]

becomes

[tex]m = (\frac{5 -1}{2},\frac{8 + 4}{2})[/tex]

[tex]m = (\frac{4}{2},\frac{12}{2})[/tex]

[tex]m = (2,6)[/tex]

Hence, the coordinates of the midpoint is: (2,6)

Answer:

Step-by-step explanation:3/-1

Answer:

4x-32

Step-by-step explanation:

first multiply the numbers so 8x4 is 32 so 4x-32

Answer:

yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

3^4/3^2 = 3^(4-2)=3^2=9

Answer:

9

Step-by-step explanation:

3^4 is 81

3^2 is 9

81/9 is 9!