Brandon is analyzing the profits from two of his restaurant locations. the first location showed a profit of $3,000 in the first week of the year but has a showed a steady decrease in profits of 1.5% each week since then. his second location showed a profit of $1,500 in the first week of the year and has showed a steady increase in profits of 1.2% each week since then. which system of equations can brandon use to determine the number of weeks, x, until the profits, y, from the two locations are the same? a. b. c. d.

Answers

Answer 1

The system of exponential functions that can be used to determine the time for the profits to be the same is given by:

[tex]3000(0.985)^x = 1500(1.012)^x[/tex]

What is an exponential function?

An exponential function is modeled by:

[tex]A(t) = A(0)(1 \pm r)^t[/tex]

In which:

A(0) is the initial value.r is the rate of change, as a decimal.

For the first restaurant, we have that the parameters are given as follows:

A(0) = 3000, r = -0.015.

Hence the profit after x weeks is given by:

[tex]y_1(x) = 3000(0.985)^x[/tex]

For the second restaurant, we have that:
A(0) = 1500, r = 0.012.

Hence:

[tex]y_2(x) = 1500(1.012)^x[/tex]

Then they will be equal when:

[tex]y_1(x) = y_2(x)[/tex]

[tex]3000(0.985)^x = 1500(1.012)^x[/tex]

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Answer 2

Answer:

Answer:

y=3,000(0.985)^x

y=1,500(1.012)^x

Step-by-step explanation:

plato 2022


Related Questions

Find the midpoint of (6, 4) and (0,2).​

Answers

Answer: Hope this helps you.

1,3

Step-by-step explanation:

(6, 4) and (0,2)

4-2/6-0 =2,6 (1,3)

Step-by-step explanation:

please mark me as brainlest

Help now!!!!!!

the scale factor of the larger of two similar rectangular prisms is 1/8. the surface area of the larger prism is 740 ft2. identify the surface area, rounded to the nearest tenth, of the smaller prism

Answers

Answer:

  11.6 ft²

Step-by-step explanation:

We assume the 1/8 scale factor is the ratio of the linear dimensions of the smaller of the prisms to the larger. The ratio of areas will be the square of the ratio of the linear dimensions.

__

The ratio of areas will be ...

  smaller area / larger area = (scale factor)²

  smaller area = (larger area)×(scale factor)² . . . multiply by the denominator

  smaller area = (740 ft²) × (1/8)² = 11.5625 ft² . . . use given values

The surface area of the smaller prism is about 11.6 square feet.

Use synthetic division to evaluate (3x2 − 6x + 3) ÷ (x − 1). 3x − 9 3x2 − 3x 3x − 3 3x2 − 6

Answers

Answer:

[tex]\frac{\left(3x^2-6x+3\right)}{\left(x-1\right)3x-93x^2-3x^3x-33x^2-6}: -\frac{\left(x-1\right)^2}{x^4+41x^2+x+2}[/tex]
[tex]\frac{3x^2-6x+3}{\left(x-1\right)\cdot \:3x-126x^2-3x^3x-6}[/tex]
[tex]\frac{3\left(x-1\right)^2}{\left(x-1\right)\cdot \:3x-126x^2-3x^3x-6}[/tex]
[tex]\frac{3\left(x-1\right)^2}{-3\left(x^4+41x^2+x+2\right)}[/tex]
[tex]\frac{\left(x-1\right)^2}{-\left(x^4+41x^2+x+2\right)}[/tex]
[tex]-\frac{\left(x-1\right)^2}{x^4+41x^2+x+2}[/tex]

Answer:

3x-3

Step-by-step explanation:

use synthetic division

Geometry triangle question ​

Answers

Answer:

Step-by-step explanation:

Answer:

x = 44 1/3°4x = 177 1/3°2x = 88 2/3°

Step-by-step explanation:

The angle sum theorem tells you the sum of angles of a triangle is 180°. Angles of a linear pair are supplementary, so total 180°. These facts can be used to write a relation that can be solved for x.

__

interior angles

The interior angle at the right end of the line is the supplement of 4x:

  180° -4x

The interior angle at the left end of the line is the supplement of 2x:

  180° -2x

angle sum

  86° +(180° -4x) +(180° -2x) = 180°

Then the solution to the triangle is ...

  266° = 6x . . . . . . . . . add 6x-180°

  x = 266°/6 = 44 1/3° . . . . . divide by 6

exterior angle 4x = 177 1/3°exterior angle 2x = 88 2/3°interior left side angle 180° -88 2/3° = 91 1/3°interior right side angle: 180° -177 1/3° = 2 2/3°

Given f (x) = -3 + 5, solve for x when f (x) = -4

Answers

The value of x when f(x) = -4 is 3

How to solve the function?

The function is given as:

f(x) = -3x + 5

When f(x) = -4, we have:

-4 = -3x + 5

Subtract 5 from both sides

-3x = -9

Divide both sides by -3

x = 3

Hence, the value of x when f(x) = -4 is 3

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Answer:

x = 3

Step-by-step explanation:

Hello!

Think of this as a linear equation: y = -3x + 4.

If f(x) = -4, it means that y = -4.

Plug in the value for y and solve for x.

Solvef(x) = -3x + 5y = -3x + 5-4 = -3x + 5-9 = -3x3 = x

The value of x is 3.

answer needed urgently

The force,
F
(Newtons), between two objects is inversely proportional to the square of the distance,
d
(metres), between them.
The force is 0.012 Newtons when the distance between the objects is 1.4 metres.
Work out
d
(rounded to 2 DP) when
F
=
0.035
Newtons.

Answers

Answer:

dont now the answer but air math app will help you just take photo of problems

Answer:

4.08

Step-by-step explanation:

when 0.012N = 1.4mthen, when F =0.035..the distance is:(1.4×0.035)÷0.012

No Solutions

2x+5+2x+3x=

One Solution

2x+5+2x+3x=

Infinitely Many Solutions

2x+5+2x+3x=

Answers

Answer:

For no solution,

2x + 9 + 3x + x = 6x

For one solution,

2x + 9 + 3x + x = 15

For infinitely many solutions,

2x + 9 + 3x + x = 6x + 9

Step-by-step explanation:

Step-by-step explanation:

1.  2x + 9 + 3x + x = 6x

6x + 9 = 6x

Subtract 6x from both sides,

9 = 0 which is absurd and hence the equation has no solution.

2.  2x + 9 + 3x + x = 15

6x + 9 = 15

Subtract 9 from both sides.

6x = 6

Divide both sides by 6.

x = 1 and this is the only solution.

3. 2x + 9 + 3x + x = 6x + 9

6x + 9 = 6x + 9

Subtract 6x from both sides,

9 = 9, both sides are balanced which means, the equation has infinitely many solutions.

First simplify

2x+5+2x+3x7x+5

#No solution

7x+5=7x-3

#One solution

7x+5=5x+2

#Infinitely many solution

7x+5=7x+5

(6x −9)3−1=((6x−9)3)(0) Solve for X

Answers

Answer:

Step-by-step explanation:

Remark

Anything multiplied by 0 = 0. So the whole right side is 0.

(6x - 9)*3 - 1  = 0                       Add 1 to both sides.

(6x - 9)*3 - 1 + 1 = 0 + 1             Combine

(6x - 9)*3 = 1                             Divide both sides by 3

(6x - 9)*3/3 = 1/3                      Simplify

(6x - 9) = 1/3                             Remove brackets. Add 9 to both sides

6x - 9+9 = 9 1/3                        Combine

6x = 9 1/3

6x = 28/3                                   Divide both sides by 6

6x / 6 = 28/3 // 6                       Invert the 6 and multiply.

x = 28/3 * 1/6

x = 28/18

Answer

x = 14/9

What is the distance around the perimeter of the garden? 60 ft 60 startroot 3 endroot ft 120 ft 120 startroot 3 endroot ft

Answers

The distance around the perimeter would be 120 ft.

What is perimeter?

Perimeter is the distance around the edge of a shape.

The complete question is

A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet.

A rhombus is shown. Lines are drawn from each point to the opposite point to form 4 right triangles. The other 2 angle measures are 30 and 60 degrees. The base length of each triangle is 15 feet.

What is the distance around the perimeter of the garden?

let AE is the half of the diagonal AC.

AC = 30 ft.

So, AE = ½ * 30

AE = 15 ft

Now, using trigonometry

sin 30 = 15/AD

0.5= 15/AD

AD= 30 ft

Hence, distance around the perimeter would be: AD+AD+AD+AD=

=30 ft + 30 ft + 30 ft + 30 ft

= 120 ft.

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Answer:A

Step-by-step explanation: just took it

A construction company needs to transport 500 bricks. The dimensions of each brick are 2 cm
by 4 cm by 8 cm. The density of each brick is 3 g/cm'. What is the mass of each brick?

Answers

If the volume of each brick will be 64 cubic centimeters. Then the mass of each brick will be 192 grams.

What is density?

Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.

The mass and density relation is given as

mass = density × volume

A construction company needs to transport 500 bricks. The dimensions of each brick are 2 cm by 4 cm by 8 cm.

The density of each brick is 3 g/cm³.

Then the mass of each brick will be

The volume of each brick will be

V = 2 x 4 x 8

V = 64 cm³

Then the mass will be

m = 3 x 64

m = 192 gram

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A cyclist set out from a town P on a bearing of to a town Q, 5 km away. He then moves on a bearing of to a town R, 6km from Q.

1. Represent the information on a diagram

Calculate, correct to two decimal places

2. the bearing of R from P

3. |PR|​

Answers

The bearing of R from P is 019 and the distance |PR| is 8.75

The complete question

A cyclist set out from a town P on a bearing of 060 to a town Q, 5 km away. He then moves on a bearing of 345 to a town R, 6km from Q.

The diagram that represents the information

See attachment

The bearing of R from P

Start by calculating the distance PR using the following cosine ratio

PR² = PQ² + QR² - 2 * PQ * PR cos(Q)

Substitute known values

PR² = 5² + 6² - 2 * 5 * 6 cos(105)

Evaluate

PR² = 76.53

Take the square root of both sides

PR = 8.75

Next, calculate angle R using the following sine ratio

PQ/sin(R) = PR/sin(Q)

Substitute known values

5/sin(R) = 8.75/sin(105)

Evaluate the quotient

5/sin(R) = 9.06

Multiply both sides by sin(R)

9.06 * sin(R) = 5

Divide both sides by 9.06

sin(R) = 0.5519

Take the arc sin of both sides

R = sin⁻¹(0.5519)

Evaluate

R = 34

Calculate angle P using:

P = 180 - 34 - 105

P = 41

The bearing of R from P is then calculated as:

Bearing = 060 - 41

Evaluate

Bearing =  019

Hence, the bearing of R from P is 019

The distance |PR|​

In (b), we have:

PR = 8.75

Hence, the distance |PR| is 8.75

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Can someone simplfy to me why we use different formula in some equations for sin cos tan? Like in some instances we swap variables and in others we just divide and stuff and I don't understand why we do that ​

Answers

It does get confusing but there are ways to try & differentiate what is divided & what multiplied or added & subtracted when using variables wording plays a big part in what needs done. Depending what the equation is asking for. Pay close attention to the wording in each one

Pls help!! I will give brainliest!! And no links pls!!!

Answers

Answer:

20 for $8

Step-by-step explanation:

A airplane can hold 62 gallons of diesel.For each kilogram traveled, the airplane used 1/15 of kilograms of diesel. How far can the airplane go before it runs out of diesel?

Answers

The distance the airplane can travel before it runs out of diesel is 15.67.

What is the distance the plane can travel?

The first step is to convert gallon to kilogram

1 gallon = 3.79 kg

62 x 3.79 = 234.98 kg

Now, divide 234.98 by 15.: 234 . 98 / 15 = 15.67 kilogram

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A company models its net income, in thousands of dollars, with the function f(x) = 9x² – 54x – 144, where x is the number of units of its product sold. How many units of its product does the company need to sell in order for the net income to equal $0?

Answers

Answer:

8

Step-by-step explanation:

Income = 0

  so    0   = 9x^2 - 54x - 154  

             you can go straight to the Quadratic Formula to find the answer, or you can try factoring as follows ....

    divide both sides of the equation by 9 to get

           x^2 -6x -16   = 0  which easily factors to :

          (x -8)(x+2) = 0     <===== this shows x = 8   or -2(throw out)

Find the perimeter.
Perimeter = [?]
Simplify your answer completely.

Answers

The answer would be 119 and 4/7

Answer:

119 4/7

Step-by-step explanation:

Perimeter is all of the lengths of the sides added together. I started by adding all of the whole numbers:

35+10+12+15+24+12+10=118

Then I added the fractions (after making the denominators equal by multiplying the 3/7, 1/7, 2/7 all by 2)

6/14+2/14+4/14+3/14+1/14+4/14+2/14= 22/14

Then I subtracted 14 from 22 to take out our whole number (which would be 14/14 or 1), and see that we are left with 8.

This means that our answer is 119 8/14 or 119 4/7

-2 1/2*3 1/3=
What does this equal to

Answers

Answer:-8.3

Step-by-step explanation:-8.3

Answer:

-8.3333333333

Step-by-step explanation:

First you want to start by multiplying (-2) * 3.

Next you want to multiply 1/2 * 1/3

Finally you add you answers together to get what you need.

Also this was very very very easy so go to summer school if you are this dum.

Look at the following sequence.


54, 36, 24, 16, . . .


If it is a geometric sequence, choose the common ratio. If it is not a geometric sequence, choose “not geometric.”

Answers

Answer:

[tex]r \: = \: \boxed{ \bold{\frac{2}{3} }}[/tex]

Step-by-step explanation:

Calculate the ratio of the progression by dividing a term of it by the immediately preceding one.

[tex]r \: = \: \frac{36}{54} \\ \\ r \: = \: \frac{24}{36} \\ \\ r \: = \: \frac{16}{24} [/tex]

We simplify the fractions:

[tex]r \: = \: \frac{2}{3} \\ \\ r \: = \: \frac{2}{3} \\ \\ r \: = \: \frac{2}{3} [/tex]

Since the ratio is the same, that is the common ratio.

MissSpanish

Please Help Me With This.

Answers

                  [tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

         [refer to attachment for question] ~

    [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

✫ First of all, Slope-intercept form is written as follows:-

                                        [tex]\longmapsto\Large\textbf{y=mx+b}[/tex]

Where:-

    m = slope ;b = y-intercept

To find:-

The equation of the line

Solving,

           Replace m with -1/5 And b with -3:-

                 [tex]\large\text{$y=-\displaystyle\frac{1}{5} x-3$}[/tex]

[tex]\Uparrow[/tex]  [tex]\sf{the\:equation}[/tex]

Good luck with your studies. [tex]\ddot\smile[/tex]

#TogetherWeGoFar

[tex]\rule{300}{1}[/tex]

3. Combine like terms and apply the
distributive property to create an
equivalent expression.
6y + 2(3x + 5) + 2y + 3 =
8r+ 3r² + 6r² + 2r + r=

Answers

Step-by-step explanation:

6y + 2(3x + 5) + 2y + 3 = 8r + 3r² + 6r² + 2r + r

6y + 6x + 10 + 2y + 3 = 9r² + 11r

8y + 6x + 13 = 9r² + 11r

3+x=7 what is x .........................

Answers

Answer:

4

Step-by-step explanation:

x = 7 - 3

x = 4

Answer:

x = 4

Step-by-step explanation:

3+x = 7

Subtract 3 from each side

3+x-3 = 7-3

x = 4

Fill in the blank. using decimals write the number 348.562 in expanded form:

348.562 =

Answers

Answer / Step-by-step explanation:

(300.500+40.60+8.2)=348.562

Does anyone know the answer to this ?

Answers

What if you divide it by 100?
what if you divide it by 10”, that should get the answer

HELPP PLEASE ILL MAKE YOU THE BRAINIEST Find the area of the rhombus

Answers

Answer:

D1×D2/2sq

445×5= 225

225/2

=112.5

Scott has a rope 8 metres long. He says, “I need 9 pieces each 0.89 metres long.” Will Scott have enough ribbon? Explain your answer

Answers

Answer:

i don't know

Step-by-step explanation:

i don't know

50 PTS! SUPER EASY 9TH GRADE GEO
- FIND THE AREA

Answers

half the diagonal is shown as 20cm.

The full diagonal would be 20 x 2 = 40 cm.


area of a square using the diagonal is 1/2 x diagonal^2


Area = 1/2 x 40^2 = 800 square cm


answer: 800 square cm.

Please Help!!!! Someone who actually knows how to do this, no guessers I only have one more attempt. I can’t figure out the answer and if I don’t get it right I won’t get my credit recovery. I already eliminated 2 answers.

Answers

Answer:

4

Step-by-step explanation:

A fundamental theorem of algebra,  the degree of a polynomial is the maximum number of roots the polynomial has.
The degree of the polynomial s 4 so it has 4 roots.

Find the length of the third side. If necessary, write in simplest radical form.

Answers

The answer is 2root6.

7^2-5^2=24

Root24=2root6

Please help me answer this question (file attached) and share how you got the final answer.
Thank you! I appreciate your help!

Answers

When the height of the prism doubles, the percentage increase in the volume is 100%

How to determine the percentage increase?

The volume of a prism is:

V₁ = BH

Where:

B represents the base area and H represents the height.

When the height doubles, the volume becomes

V₂ = 2BH

The percentage increase is then calculated using:

%Increase = (V₂ - V₁)/V₁

So, we have:

%Increase = (2BH - BH)/BH

Evaluate

%Increase = 1

Express as percentage

%Increase = 100%

Hence, the percentage increase is 100%

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How do you write 9.085 x 10-9 in standard form?

Answers

Answer: 0.000000009085

Step-by-step explanation: This expression is rewritten like this because it is multiplied by a negative power of ten. Therefore, applying this principle to scientific notation, the answer would have to be less than 0. That would be your answer. Hope this helps!

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