One of the criteria is to have a rectangular garden whose perimeter is 56 m and the length is 5 less than twice the width. What is the area of the garden?

Answer:

1. 2,772

2.1,071

3.4,641

4. 36,610

5. 4,096

6. 36,270

7. 2,403

8. 3,320

9514 1404 393

Answer:

  $155.50

Step-by-step explanation:

The interest is given by the formula ...

  I = Prt

where P is the principal earning interest at annual rate r for t years. The interest period here is 1/2 year.

  I = $5000×0.0622×1/2 = $155.50

The semiannual interest payment is $155.50 on this bond.

Answer:

10

Step-by-step explanation:

Answer:

khan says no solution

Step-by-step explanation:

khan knows best

The amount in the account at the end of 1 year is $5400.

The amount in the account at the end of 2 year is $5832.

What do you mean by interest rate?

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number.

According to data in the given question,

We have:

Deandre places $5000 in an account that pays 8% interest compounded each year.

And no withdrawals are made from the account.

Now, we need to determine the amount of 8% interest on the $5000,

\(=\frac{5000}{100}*8\\ =400\)

Then, the amount in the account at the end of 1 year =$5000+$400

=$5400.

Now, we need to determine the amount of 8% interest on the $5400,

\(=\frac{5400}{100}*8\\ =432\)

So, the amount in the account at the end of 2 year =$5400+$432

=$5832.

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Answer:

B) \(4i\sqrt{2}\)

Step-by-step explanation:

\(\sqrt{-2}=i\sqrt{2}\\\sqrt{-18}=i\sqrt{18}=i\sqrt{9*2}=3i\sqrt{2}\\\\\sqrt{-2}+\sqrt{-18}=i\sqrt{2}+3i\sqrt{2}=4i\sqrt{2}\)

Answer:

error in Step 2

Step-by-step explanation:

2(x - 3) + 3x = 19

Step 1 : 2x - 6 + 3x = 19 ← simplify left side by collecting like terms

Step 2 : 5x - 6 = 19 ← add 6 to both sides

Step 3 : 5x - 6 + 6 = 19 + 6

Step 4 : 5x = 25 ← divide both sides by 5

Step 5 : x = 5

Error was made by student in Step 2 who should have added 2x and 3x, not multiplied 2 × 3

53 years for the Population of the United States to reach 300 million people according to this model.

The recursive formula of the population of the United States is given by ao = an1.015a - 1

Let's solve this to get a formula that is not recursive.a0 = a0 givena1 = 1.015a0 - 1a2 = 1.015a1 - 1 = 1.015 (1.015a0 - 1) - 1 = 1.0152 a0 - 1.015 - 1a3 = 1.015a2 - 1 = 1.015(1.015²a0 - 1.015 - 1) - 1 = 1.015³ a0 - 1.015² - 1.015 - 1a4 = 1.015a3 - 1 = 1.015(1.015³a0 - 1.015² - 1.015 - 1) - 1 = 1.015⁴ a0 - 1.015³ - 1.015² - 1.015 - 1an = 1.015na0 - 1.015n-1 - 1.015n-2 - ... - 1.015 - 1We can rewrite this asan = a0(1.015)

where a0 is the population of the United States in 1910 (92.2 million people) .

Now, we need to write an exponential function to find the population of the United States as a function of time in years since 1910.P(t) = 92.2(1.015)

To find the number of years it takes for the population to reach 300 million people, we need to solve the equation92.2(1.015)t = 300

Dividing both sides by 92.2, we get1.015t = 3.2596

Taking the natural logarithm of both sides, we get ln(1.015) = ln(3.2596)t = ln(3.2596)/ln(1.015) ≈ 53.2

Therefore,  approximately 53 years for the population of the United States to reach 300 million people according to this model.

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Answer:

(2x²-7)

Step-by-step explanation:

14 −1 (19 − 4x²+6) + (2² +6 - 14-1 (25-4x²) + (2² +6 −5.

Answer:

3,0,-6,0

Step-by-step explanation:

x1=3 because 3+0+0=3

since x2 and s2=0.

Answer:

Step-by-step explanation:

Zmax= 90l1 + 50l2

The objective function in a profit maximization model for the mixture of flammable liquids would be: Z = 90L1 + 50L2.

In a profit maximization model, the objective is to maximize the overall profit, which is represented by the variable Z in this case. The profit obtained from each ingredient is given by $90 for L1 and $50 for L2.

To maximize the total profit, we need to determine how much of each ingredient should be used in the mixture. Let L1 represent the amount of ingredient L1 used and L2 represent the amount of ingredient L2 used in the mixture.

The profit obtained from L1 is calculated by multiplying the amount (L1) by the profit per unit ($90.00), which is 90L1. Similarly, the profit obtained from L2 is calculated as 50L2.

The objective function Z represents the total profit, which is the sum of the profits obtained from both ingredients: Z = 90L1 + 50L2.

By maximizing the objective function Z, the model will determine the optimal values of L1 and L2 that result in the maximum profit for the mixture of flammable liquids.

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Answer:

A. 0.083%

Step-by-step explanation:

Total population=60,000

Total infected=600

Percentage of total infected=600/60,000×100

=0.01×100

=1% of the total population

50 people died out of total infected

Percentage of death of total infected=50/600×100

=8.33%

Total death from all causes=110

Percentage of total death from all causes to the total population=110/60,000×100

=0.1833%

Proportionate mortality rate(PMR) of dengue in the population can be calculated as:

Percentage of death from total infected to the total population

=50/60,000×100

=0.0833%

Approximately 0.083%

The total amount the college student will have in the savings account after 5 years will be $15,095

From the question, we are to determine the amount the college student has in savings.

From the compound interest formula, we have that

A = P(1 + r/n)^nt

Where A is the amount

P is the principal

r is the interest rate

n is the number of times compounded per year

and t is the time.

From the given information,

P = $13,000

r = 3%= 0.03

n = 4

t = 5

Putting the parameters into the formula

A = P(1 + r/n)^nt

A = 13000(1 + 0.03/4)^(4×5)

A = 13000(1 + 0.03/4)^20

A = $15095.39

A ≈ $15095

Hence, the amount is $15,095

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Answer:

2 feet apart each

Step-by-step explanation:

Answer:

\(1250 - 20 \div 25 = \)

Answer:

-18

Step-by-step explanation:

instantaneous rate of change of the search length 0.1667 seconds per

We need to take the derivative of the function S(n) with respect to n and evaluate it at n=12 in order to determine the instantaneous rate of change of the search length for a set of 12 articles.

Taking the derivative of S(n) with respect to n using the chain rule, we get:

S'(n) = 1.6 * (1/(0.8n)) * 0.8 = 2/n

Evaluating this expression at n=12, we get:

S'(12) = 2/12 = 0.1667 seconds per article

This indicates that the search time will increase by approximately 0.1667 seconds per article if the set contains 12 articles by one unit. Alternately, the search time per article will decrease by approximately 0.1667 seconds if the set's number of articles decreases by one unit from 12.

Therefore, the units for the instantaneous rate of change are "seconds per article", indicating the change in search time for each additional or fewer article in the set.

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Answer:

150 hope this helps

Answer:

21n/9n

= 7n/3n

21n/9n in the lowest terms is 7n/3n

Answer:

there is no picture?

Step-by-step explanation:

Answer: \(5\sqrt 5\)

Step-by-step explanation:

Sol \(\sqrt 125\) = \(\sqrt{25.5}\)

= \(\sqrt{25}\)  x  \(\sqrt{5}\)

\(5 \sqrt{5}\)

Triangle ABC and ADE are similar triangles

Similar triangles have the same corresponding angle measures and proportional side lengths.

This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.

It has been shown that angles in ABC and ADE are equal.

To show that the ratio of corresponding sides are equal

6/12 = 8/16 = 10/20

The ratios all give a value of 1/2

Therefore we can say that the triangles ABC and ADE are similar.

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Answer:

x=4

34

=23.3,yes they are pythagorean triple

Answer:

the probability that the two committees have at least one member in common is approximately 0.3622.

Step-by-step explanation:

To find the probability that two committees have at least one member in common, we can use the complement rule, which states that the probability of an event happening is 1 minus the probability of the event not happening.

Let A be the event that the two committees have no members in common. To calculate the probability of A, we can first find the number of ways to choose three people out of 20 without any overlap, and then use this to find the total number of ways to choose two committees of three people each without any overlap:

Number of ways to choose 3 people out of 20 without overlap:

C(20,3) = (201918)/(321) = 1140

Number of ways to choose 3 people out of 20 with overlap:

C(20,3) - C(2,1)C(17,2) = 1140 - 2(2*136) = 680

The first term is the total number of ways to choose 3 people out of 20, and the second term is the number of ways to choose 3 people out of 20 such that one particular person is included. We multiply by 2 because there are two committees.

The total number of ways to choose two committees of three people each without any overlap is:

C(20,3) * C(17,3) = (1140*680) = 775200

Therefore, the probability that the two committees have no members in common is:

P(A) = 775200 / (C(20,3)*C(17,3)) = 0.6378

So the probability that the two committees have at least one member in common is:

P(at least one member in common) = 1 - P(A) = 1 - 0.6378 = 0.3622

Therefore, the probability that the two committees have at least one member in common is approximately 0.3622.

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Answer:to cook something to a certain degree and it belongs to English which derives from the old english version “bacan”

Step-by-step explanation:

The series of rigid motion transformations that map polygon A to Polygon A''' are;

A rigid transformation is a transformation in which the distance between all pairs of points on the pre-image is preserved following the transformation.

The series of rigid motion transformations that map polygon A to polygon A''' are;

Transformation from A to A'

Transformation from A' to A''

Transformation from A'' to A'''

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Answer:

Step-by-step explanation:

If a mass of 2.5 grams costs a penny, we want to know the amount of mass that will cost $75.  Before we get the mass, we need to convert 75 dollars to penny. Using the conversion:

$1 = 100pennies

$75 = (75*100)pennies

$75 = 7,500 pennies

Using the law of equivalence

1 penny = 2.5 grams

7,500pennies = x grams

Cross multiply

1 * x = 2.5 * 7500

x = 18,750 grams

Hence 18,759 grams will cost $75

Converting grams to kilograms

If 1000 grams = 1kg

18,750grams -= y

cross multiply

1000*y = 18750

Divide both sides by 1000

1000y = 18750/1000

y = 18.750kg

Hence the amount in kilogram of $75 coin in pennies is 18.750kg

Answer:

1           1/12

1           11/12

Step-by-step explanation:

Cross multiply 3/4 and 1/3 which gives you 9/12 and 4/12

Add them together 9/12 + 4/12 = 13/12

Reduce 13/12

1 1/12

So she needs 1 11/12 more