The length of a square is 2x cm. The breadth and length of a rectangle are x cm and (2x + 1) cm
respectively. If both have the same perimeter. find the value of x.​

Step-by-step explanation:

if each the bonus is shared equally each will get 420

if 40% is shared by managers each manager will get 560

if 7 sales persons share 60% each will get 360

therefore Peter salesperson will get 360

but he thinks he will get 336 because if 420 is 125% that is including his extra 25% then hundred percent of the 420 is 336 which is not what he will get there for Janet is correct

Answer:

(a)Exponential

(b)[tex]P(t)=4.70(1.0136)^t[/tex]

(c)The price of milk next year will be: $4.76

(d)5 years

Step-by-step explanation:

The price of a gallon of milk has been rising about 1.36% per year since 2000.

(a)Since the price grows by a percentage (or constant factor) each year, an exponential function would be best to model the scenario.

(b)The exponential growth model is given as:

[tex]P(t)=P_0(1+r)^t$ where:\\P_0$=Initial Price\\r=Growth factor\\t=time (in years, for this case)[/tex]

The independent variable in the function is t. This represents the number of years since 2000.

(c)

[tex]I$nitial Price, P_0=\$4.70\\r=1.36\%=0.0136\\P(t)=4.70(1+0.0136)^t\\\\P(t)=4.70(1.0136)^t[/tex]

Therefore, the price of milk next year will be:

[tex]P(1)=4.70(1.0136)^1=\$4.76[/tex]

(d)We want to determine how long it will take for the price to top $5.

P(t)=$5

[tex]5=4.70(1.0136)^t\\$Divide both sides by 4.7$\\(1.0136)^t=\frac{5}{4.7} \\$Change to logarithm form\\t=Log_{1.0136}\frac{5}{4.7}\\t=4.58[/tex]

Therefore, in exactly 4.58 years, the milk price would be $5. Therefore, by the 5th year, the milk price would top $5.

Answer:

Below in bold.

Step-by-step explanation:

The surface area of the box

= x^2 + 4hx  where x = a side of the square base and h is the height.

So x^2 + 4hx = 8

The volume of the box

V = x^2h

From the first equation we solve for h

4hx = 8 - x^2

h = (8 - x^2) / 4x

Now we substitute for h in the formula for the volume:

V = x^2 * (8 - x^2) / 4x

V =  8x^2 - x^4 / 4x

V =  2x - 0.25x^3

Finding the derivative:

V' = 2 - 0.75x^2 =  0  for max/mimn values

x^2 = 2/ 0.75 = 2.667

x = 1.633.

So the  length and width of the base is 1.633 m and the height

= ( 8 - 2.667) / (4*1.633)

= 0.816 m

The maximum volume =  0.816 *  2.667 =  2.177 m^2.

The answers are correct to the nearest thousandth.

Answer:

i hope it will help you...

Answer:

12^2(Pi)+24*(Pi)*35

Step-by-step explanation:

12^2(Pi)+24*(Pi)*35

Answer:

D

Step-by-step explanation:

Given

[tex]R_{y-axis}[/tex] ￮ [tex]R_{y=x}[/tex] : (2, 3 )

Then the order of reflections is from right to left, that is

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , thus

(2, 3 ) → (3, 2 )

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , thus

(3, 2 ) → (- 3, 2 ) → D

Answer:

Correct answer is

[tex]\text{Quotient of }\dfrac{a-3}{7}\div\dfrac{3-a}{21} = -3[/tex]

Step-by-step explanation:

Let us rephrase the given statement mathematically.

We are given the fractions as:

[tex]\dfrac{a-3}{7}[/tex]

to be divided by:

[tex]\dfrac{3-a}{21}[/tex]

To find:

[tex]\dfrac{a-3}{7}\div\dfrac{3-a}{21}[/tex]

Now, let us have a look at the division rule in fractions:

[tex]\dfrac{a}{b} \div \dfrac{c}{d}[/tex]

is equivalent to

[tex]\dfrac{a}{b} \times \dfrac{d}{c}[/tex]

In other words, we say that the second fraction [tex]\frac{c}{d}[/tex] is changed to [tex]\frac{d}{c}[/tex] and [tex]\div[/tex] is changed to [tex]\times.[/tex]

Now solving the given fraction by applying above rules:

[tex]\dfrac{a-3}{3}\div\dfrac{3-a}{21}[/tex]

[tex]\Rightarrow \dfrac{a-3}{7}\times \dfrac{21}{3-a}\\\Rightarrow \dfrac{a-3}{7}\times \dfrac{21}{-(a-3)}\\\Rightarrow \dfrac{1}{1}\times \dfrac{3}{-1}\\\Rightarrow -3[/tex]

So, correct answer is:

[tex]\text{Quotient of }\dfrac{a-3}{7}\div\dfrac{3-a}{21} = -3[/tex]

Answer:

d on edg

Step-by-step explanation:

taking test rn

Answer:

$12,921.09

Step-by-step explanation:

9000(1.041)⁹

9000(1.4367641386)

≈$12,921.09

The amount of money Darren owe on this debt in 9 years by compounding continuously is $12,915.

Given that, principal=$9,000, rate of interest=4.1% and time period =9 years.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = [tex]Amount=P(1+\frac{r}{100})^t[/tex]

Now, [tex]Amount=9000(1+\frac{4.1}{100})^9[/tex]

= 9000×[tex](1+0.041)^9[/tex]

= 9000×[tex](1.041)^9[/tex]

= 9000×1.435

= $12915

Therefore, the amount of money Darren owe on this debt in 9 years by compounding continuously is $12,915.

To learn more about the compound interest visit:

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Answer:

The system has infinity many solutions

Step-by-step explanation:

If it had no solutions there would be another like that does not go through it....if it was one solution it would have another like going through the other line....and since it has two lines that are on top of each other in the same point it's infinity solutions

Answer:

Step-by-step explanation:

Answer:

9 cm

Step-by-step explanation:

c^2=81

Take the square root of both sides.

The square root of c^2 is c.

The square root of 81 is 9.

c=9

Answer:

C = 9 centimeters

Step-by-step explanation:

First, look at the area of a square, which formula is c^2 or in standard format - s^2. Thus, we can say, c^2 = 81. Then, we can simplify, and put c = √81. Since 81 is a perfect square, 9 *  9 = 81. Thus the answer is 9 centimeters.

Answer:

x = - 1, y = 2

Step-by-step explanation:

Given the 2 equations

6x + 5y = 4 → (1)

19x + 2y = - 15 → (2)

Multiplying (1) by 2 and (2) by - 5 and adding will eliminate the term in y

12x + 10y = 8 → (3)

- 95x - 10y = 75 → (4)

Add (3) and (4) term by term thus eliminating y

- 83x = 83 ( divide both sides by - 83 )

x = - 1

Substitute x = - 1 into either of the 2 equations and evaluate for y

Substituting into (1)

6(- 1) + 5y = 4

- 6 + 5y = 4 ( add 6 to both sides )

5y = 10 ( divide both sides by 5 )

y = 2

Answer:

the answer to this question would be 9 which is B

Answer:

C. (x+4) (x-8)

Step-by-step explanation:

Take the graph for example both x values are -4 & positive 8

Answer:

2.Ellipse

Step-by-step explanation:

The given equation represents an ellipse.

Standard form of ellipse is given as:

[tex] \frac{x^2}{a^2} +\frac{y^2}{b^2} = 1\\\\

\implies \frac{x^2}{16} - \frac{y^2}{4} = 1\\[/tex]

Answer: $4512 was the amount she borrowed.

Step-by-step explanation:

SI = 1692

R = 15% = 0.15

T = 30 months = 2.5 years

SI = PRT

1692 = P x 0.15 x 2.5

1692 = 0.375P

P = 1692 / 0.375

P = 4512

Answer:

60 .

Step-by-step explanation:

Normal pay for 4 hours = 10 * 4 = 40.

Overtime for 4 hours = 40 *  1 1/2

= 60.

Tim was paid 15 for his overtime.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Normal pay of Tim= 10

Overtime hours= 4

and, overtime pay = 1 1/2 of 10

So, the overtime pay

= 3/2 of 10

= 3/2 x 10

= 15

Hence, Tim was paid 15 for his overtime.

Learn more about unitary method here:

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Answer:

When we use a graphing calc, we should see that we get A as our best choice.

Step-by-step explanation:

Answer:

The correct answer will be "0.756596 m²".

Step-by-step explanation:

The given values are:

The radius of an umbrella,

r = 0.4 m

The height of an umbrella,

h = 0.45 m

As we know,

The lateral surface of an umbrella will be:

⇒  [tex]\pi r\sqrt{r^2+h^2}[/tex]

On substituting the values, we get

⇒  [tex]\pi \times 0.4\sqrt{(0.4)^2=(0.45)^2}[/tex]

⇒  [tex]0.756596 \ m^2[/tex]

So that the amount of fabric needed will be "0.756596 m²".

Answer:

a . See attachment

b. because we will find the distance from the bottom of the ladder to the base of the building.

c. sin 60 = opposite side / hypotenuse

d.sin 60 = x / 10

e .  8.66 ft =x

f. see attachment

i. cos 60° = adjacent side / hypotenuse

Step-by-step explanation:

a . See attachment

b. because cos 60° = adjacent side / hypotenuse, the hypotenuse is equal to the length of the ladder (10), and the adjacent side that we will find is the distance from the bottom of the ladder to the base of the building. not the height that the ladder reaches .

c. sin 60 = opposite side / hypotenuse

Because we will find the opposite side which is the height that the ladder reaches.

d.sin 60 = x / 10

e .  

0.866025403 = x/10

10 (0.866025403) =x

8.66 ft =x

f. see attachment

i. cos 60° = adjacent side / hypotenuse

Because we will find the adjacent side which is the distance from the bottom of the ladder to the base of the building.

Answer:

( x+1) (x+3) (x+4)

Answer:

-40

Step-by-step explanation:

-25 -(-5) + (-20)

-25 + 5 - 20

-20 - 20

= - 40

Note that:

+ ( + ) = +

+ ( - ) = -

- ( + ) = -

- ( - ) = +

Answer:

Hello There!

~~~~~~~~~~~~~~~~~~~

-25 -( -5) +(- 20) =

-40

Step-by-step explanation: Simplify the expression.

Hope this helped you. Brainliest would be nice!

☆_____________❤︎______________☆

Answer:

The function for the outside temperature is represented by [tex]T(t) = 85\º + 15\º \cdot \sin \left[\frac{t-6\,h}{24\,h} \right][/tex], where t is measured in hours.

Step-by-step explanation:

Since outside temperature can be modelled as a sinusoidal function, the period is of 24 hours and amplitude of temperature and average temperature are, respectively:

Amplitude

[tex]A = \frac{100\º-70\º}{2}[/tex]

[tex]A = 15\º[/tex]

Mean temperature

[tex]\bar T = \frac{70\º+100\º}{2}[/tex]

[tex]\bar T = 85\º[/tex]

Given that average temperature occurs six hours after the lowest temperature is registered. The temperature function is expressed as:

[tex]T(t) = \bar T + A \cdot \sin \left[2\pi\cdot\frac{t-6\,h}{\tau} \right][/tex]

Where:

[tex]\bar T[/tex] - Mean temperature, measured in degrees.

[tex]A[/tex] - Amplitude, measured in degrees.

[tex]\tau[/tex] - Daily period, measured in hours.

[tex]t[/tex] - Time, measured in hours. (where t = 0 corresponds with 5 AM).

If [tex]\bar T = 85\º[/tex], [tex]A = 15\º[/tex] and [tex]\tau = 24\,h[/tex], the resulting function for the outside temperature is:

[tex]T(t) = 85\º + 15\º \cdot \sin \left[\frac{t-6\,h}{24\,h} \right][/tex]

Answer:

21.14 lbs.

Step-by-step explanation:

So you plug in x=6.

y=3.27(6)+1.52=21.14

Step-by-step explanation:

use pythagoras theorem for finding the height

hypotenuse is 8cm

base is 4 cm

height?

a^2+b^2=c^2

64-16=a^2

a=7.07cm

Height of equilateral triangle is 7.07cm

Answer:

The correct answer is A. x > -3/35

Step-by-step explanation:

-3/2(x - 1/3) > 1/5 - 5x

-3/2x + 1/2 > 1/5 - 5x

-15x + 5 > 2 - 50x

-15x + 50x + 5 > 2

-15x + 50x > 2 - 5

35x > 2 - 5

35x > -3

x > -3/35

Hope this helped! :)

Answer: A. x > -3/35

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

3|−5| − 2|−2|

Absolute value means take the non-negative value

3 * 5 -2 * 2

15 - 4

11

Answer:

The 8ft tall pine tree will not affect the box plot here is why........

Outliers are important because they are numbers that are "outside" of the Box Plot's upper and lower fence, though they don't affect or change any other numbers in the Box Plot they are still important.

If you want to find your fences you will first take your IQR and multiply it by 1.5. I call this your "magic number".

Lower fence: Take your Q1 and subtract it from your magic number, that number your get is your lower fence.

Upper fence: Take your Q3 and add it to your magic number, that number you get is your upper fence.

Answer:

Step-by-step explanation:

5*2=10, 10*2=20...

it is a geometric progression with ratio= 2

a11=a10*2=2560* 2=5120

Answer:

64

Step-by-step explanation: