a garden with a golden ratio has a length of 5ft. what is the width

Answer:

$900  

Step-by-step explanation:

The given parameters are;

The amount Ted pays per year for insurance on his home = $1,400

The value of the insurance policy = $5000

The chance that Ted will make a claim on the policy = 10%

The expected value is given as follows

Incidence                     Probability(p)        Value(v)                                   v × p

A claim is made            0.1                  $5,000 - $1,400 = -$3,600     -$360

No claim                        0.9                 $1,400                                       $1260

Expected value is $1,260 - $360 = $900

The value the insurance company can be expected to make on average on the policy is $900    

Answer:

37.7 feet

Step-by-step explanation:

The circumference of a circle can be calculated using the formula: Circumference = 2 * π * radius, where π (pi) is approximately 3.14159.

For example, if we have a circle with a radius of 3 feet, its circumference would be approximately 18.85 feet (rounded to five decimal places).

When we double the radius to 6 feet, the circumference also doubles. In this case, the circumference would be approximately 37.70 feet (rounded to five decimal places).

In summary, when the radius of a circle doubles, the circumference also doubles, maintaining a direct proportional relationship between the two measurements.

Answer:

1/8 of the buckets

Step-by-step explanation:

There's one X for 1 1/2 cups which is greater than 1 1/4 cups but less than 1 3/4 cups. There are 8 pieces of data in total so our answer is 1/8 of the buckets.

Answer:

12.5

Step-by-step explanation:

I dived by 0.08 is 12.5

The range is the smallest number minus the largest number on a number line. Hope that helped!

Answer: 6 feet long

Step-by-step explanation:

1ft. = 12 in

62 inches = 5 feet and 2 inches

Break down 62 into 60 and 2

60 divided by 12 = 5 (12x5=60)

60in. = 5ft.

2in. = 2in.

5ft. and 2in.

10in.= 10in.

Add the inches

10in. + 2 in. = 12 in.

12in.= 1ft.

5ft. + 1ft. = 6ft.

Answer: Nancy’s rope is 6ft. long

Answer:

There are two types of compound inequalities. They are conjunction problems and disjunction problems. These compound inequalities will sometimes appear as two simple inequalities separated by using the word AND or OR. When solving “and/or” compound inequalities, begin by solving each inequality individually

Using the law of indices,

will be

Answer:

The amount of money in the account at the end of 5 years is $9,841.63.

Step-by-step explanation:

The compound interest formula is A = P(1 + r/n)^(nt) where A is the final amount, P is the principal (initial deposit), r is the annual interest rate (expressed as a decimal), n is the number of times interest is compounded per year, and t is the number of years.

In this case, P = 8000, r = 0.04, n = 4 (because interest is compounded quarterly), and t = 5 (because we are trying to find the balance after 5 years).

So the formula becomes:

A = 8000(1 + 0.04/4)^(4*5)

By plugging the number into the formula we can find the final amount after 5 years

A = $9,841.63

The amount of money in the account at the end of 5 years is $10,404.69, and the interest earned is $2404.69.

To calculate the amount of money in the account at the end of 5 years, we need to use the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

To calculate the amount of interest earned, we subtract the initial deposit from the final amount: interest = A - P.

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Answer:

2/9 of the bleachers are rooting for the home team!

Answer:

Step-by-step explanation:

let the length=x

width=y

P=2(x+y)=128

x+y=128/2=64

y=64-x

area A=xy=x(64-x)=64x-x²

\(\frac{dA}{dx} =64-2x\\\\\frac{dA}{dx} =0,gives~64-2x=0,x=32\\\frac{d^2A}{dx^2} =-2<0 ,at ~x=32\)

so A or area is maximum if x=32

y=64-32=32

or it is a square of edge=32 meters.

Answer:

9^1 has a power of 1.  it evaluates to 9

Step-by-step explanation:

Answer:

53.62 m

Step-by-step explanation:

Length of arc = θ/360 × 2πr

r = XZ = 12 m

m<XYZ = 180 - 108 = 72° (angles on a straight line)

θ = 85° + 72° + 108° = 265°

Length of arc YWV = 256/360 × 2 × π × 12

= 53.6165146 ≈ 53.62 m (nearest hundredth)

Answer:

what question

Step-by-step explanation:

Answer:

..............................................

Step-by-step explanation:

The function that can be used to determine the amount of money is f(x) = 40 * (1.05)^x

From the question, we have the following parameters that can be used in our computation:

Principal = 40

Rate = 5% annually

Time = x

The function that can be used to determine the amount of money is represented as

f(x) = P * (1 + r)^x

Substitute the known values in the above equation, so, we have the following representation

f(x) = 40 * (1 + 5%)^x

Evaluate

f(x) = 40 * (1.05)^x

Hence, the function is f(x) = 40 * (1.05)^x

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140.55 pounds will be sold approximately each week at the optimal price of $0.67/lb.

To find the price elasticity of demand for bananas at $0.20/lb, we need to use the formula:

According to the given data:

E(p) = -p(q'/q(p))

where q' is the derivative of q(p) with respect to p.

First, we need to find q'(p):

\(q'(p) = -225e^(1.5(5-p))\)

Then, we can plug in the values:

E(0.20) = -0.20(q'(0.20)/q(0.20))

= \(-0.20(-225e^(1.5(5-0.20)) / 100e^(1.5(5-0.20)))\)

= 2.70

Therefore, the price elasticity of demand for bananas at $0.20/lb is 2.70.

To find the price elasticity of demand for bananas at $1/lb, we can use the same formula:

E(p) = -p(q'/q(p))

First, we need to find q'(p):

\(q'(p) = -225e^(1.5(5-p))\)

Then, we can plug in the values:

E(1) = -1(q'(1)/q(1))

= \(-1(-225e^(1.5(5-1)) / 100e^(1.5(5-1)))\)

= 0.68

Therefore, the price elasticity of demand for bananas at $1/lb is 0.68.

To find the price that maximizes revenue, we need to find the value of p that makes revenue, R(p), maximum.

Revenue is given by:

R(p) = pq(p)

= \(p100e^(1.5(5-p))\)

To maximize revenue, we need to find the critical point of R(p) by taking its derivative and setting it equal to zero:

\(R'(p) = 100e^(1.5(5-p)) - 150pe^(1.5(5-p)) = 0\)

Simplifying this expression, we get:

\(2e^(1.5(5-p)) - 3pe^(1.5(5-p)) = 0\)

2 = 3p

p = 2/3

Therefore, the price that maximizes revenue is $0.67/lb.

To find the maximum revenue per week, we can plug this price back into the revenue equation:

\(R(2/3) = (2/3)*100e^(1.5(5-2/3))\)

= $167.56

Therefore, the maximum revenue per week is $167.56.

To find how many pounds will be sold each week at the optimal price of $0.67/lb, we can plug this price back into the demand equation:

\(q(2/3) = 100e^(1.5(5-2/3))\)

= 140.55

Therefore, approximately 140.55 pounds will be sold each week at the optimal price of $0.67/lb.

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The estimated cost for constructing the house in New Orleans, Louisiana of the given square feet is option A. $113,750.

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Given that, construction rate per square feet is $65.

We have to find the estimated cost for a two-story home of 950 ft2 on the first floor and 800 ft² on the second floor.

Total area of the plot = 950 ft² + 800 ft²

                                   = 1750 ft²

Estimated cost can be calculated by multiplying total area with the construction rate per square feet.

Estimated cost = 1750 ft² × $65

                         = $113,750

Hence the estimated cost is $113,750.

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Answer:

525 grams

Step-by-step explanation:

Answer:

525 grams is correct

ED2021

Answer:

1) 17

2) 50

3) 25

17 + 50 + 25 = 92

Step-by-step explanation:

1) x - 8

2) 2x

3) x

x - 8 + 2x + x = 92

4x = 92+8

x = 100/4

x = 25

Answer:

Step-by-step explanation:

x - first

x + 12 - second

x + (x + 12) = 44

2x=44-12

x=16

first number is 16

second number is 16+12=28

two numbers are 16 and 28

16 and 28 are the required two numbers when one number exceeds another by 12 and their sum is 44

One number exceeds another by 12 and their sum is 44

We need to find the two numbers

Two expressions with equal sign is called equation.

Let x be the first number

x + 12 be the  second number

x + (x + 12) = 44

2x=44-12

x=16

Therefore first number is 16

second number is 16+12=28

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Answer:-4x^2-2x+46.

Step-by-step explanation:

To simplify this expression, you can start by distributing the negative sign to the first set of parentheses:

(-3)(x+4)(x-6)-(x^2+8x-10)

Then, you can distribute the -3 to the terms inside the first set of parentheses:

(-3x-12)(x-6)-(x^2+8x-10)

Then, you can combine like terms:

-3x^2+6x+36-x^2-8x+10

This simplifies to:

-4x^2-2x+46

Therefore, the expression that is equivalent to -3(x+4)(x-6)-(x^2+8x-10) is -4x^2-2x+46.

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To find the shaded area in an image first calculate the total area of the figure and then subtract the white area from this total.

Note: This question is incomplete because the image of the shaded regions is not provided; due to this, the answer is based on general knowledge.

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Answer:

\(2^{-4}\) = 1/16

\(6^{-5}\) × \(6^{5}\) = 1

Step-by-step explanation:

\(2^{-4}\) = 0.0625

0.0625 = 1/16

\(6^{-5}\) × \(6^{5}\) = 1

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

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It only seeks a single value and does not involve collecting data to draw general conclusions.

"Which employee worked the most hours in the previous month?" is not a statistical question because it only seeks a single value and does not involve collecting data to draw general conclusions.

On the other hand, "What is the average number of hours worked by employees in the previous month?" is a statistical question because it involves collecting data on all employees and using it to draw general conclusions about the entire workforce.

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Answer:

Step-by-step explanation:

AC = CD                    Given

CD Bisects AB          Given  

AD = DB                    Result of Bisection

<A = <B                      When Two sides of a triangle are equal, the angles opposite them are also equal.

ΔABD = ΔCBD          SAS.

Answer: 142 feet^2

Step-by-step explanation:

The surface area of a rectangular prism is 2(wl+hl+hw).

Plugging in the values you get

2(5*7+3*7+3*5)

= 2(35+21+15)

= 2(71)

= 142 feet^2

The three equations that pass through the points (–4, –16) and (5, 2) are y - 2 = 2(x - 5), y = 2x - 8 and y + 16 = 2(x+4)

The equation of a line in point-slope form is expressed as:

y - y1 = m(x-x1)

Given the coordinate points  (–4, –16) and (5, 2)

Get the slope

\(m =\frac{2+16}{5+4}\\ m =\frac{18}{9}\\ m = 2\)

Substitute m= 2 and (5, 2) into the equation to have:

y - 2 = 2(x - 5)

Expand

y - 2 = 2x - 10

y = 2x - 8

ALso using the coordinate point (-4, -16)

y - (-16) = 2(x-(-4))

y + 16 = 2(x+4)

Hence the three equations that pass through the points (–4, –16) and (5, 2) are y - 2 = 2(x - 5), y = 2x - 8 and y + 16 = 2(x+4)

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