Because of the rainy season, the depth in a pond increases 3% each week. Before the rainy season started, the pond was 10 feet deep. What is the function that best represents the depth of the pond each week and how deep is the pond after 8 weeks? Round your answer to the nearest foot

Answers

Answer 1

Answer: d = 10 - 0.03x

The depth of the pond after 8 weeks = 9.76 feet

Step-by-step explanation:

Let x = Number of weeks

Constant rate of decrease in depth = 3% = 0.03

Initial depth = 10 feet

Depth after x weeks: d = 10 - 0.03x

Hence, the function that best represents the depth of the pond each week :

d = 10 - 0.03x

Put x = 8 in this function

d= 10 -0.03 (8)

=10-0.24

=9.76 feet

Hence, the depth of the pond after 8 weeks = 9.76 feet


Related Questions

a and Ly started sung money at the same time for Christmas gis erika started with $100 and added $35 a week. Uly saved $60 a week and
started with 25. How many weeks will it take for them to have the same amount of money saved for Christmas gifts?
weeks torna and Ly to have the same amount of money saved up

Answers

Answer:

Step-by-step explanation:

Erika: y = 35x + 100

Ly: y = 60x + 25

60x + 25 = 35x + 100

25x + 25 = 100

25x = 75

x= 3 weeks

Erika: y = $35(3) + 100= 105 + 100 = $205

Ly: 60(3) + 25 = 180 + 25 = $205

Help meee pleaseeeeeeee

Help meee pleaseeeeeeee

Answers

Answer:

The answer to this question is letter choice E. 25%.

Step-by-step explanation:

Since 3/12 circles are shaded it would be the same as 25% or 1/4 if simplified.

what will be the effect of executing the following code segment, given that int num1 is 0 and int num2 is 10? if ((num1 / num2 < 0) || (num1 num2 > 0)) statement1; else statement2;

Answers

The execution of the code segment will result in statement2 being executed. The code segment contains a conditional statement that uses the logical OR operator (||) to combine two conditions.

The first condition checks whether the result of dividing num1 by num2 is less than 0, while the second condition checks whether the product of num1 and num2 is greater than 0.

Given that num1 is 0 and num2 is 10, the first condition will evaluate to false, because 0 divided by any positive number is 0. However, the second condition will evaluate to true, because the product of two non-zero numbers with the same sign is always positive.

Since the logical OR operator requires only one of the conditions to be true for the entire statement to be true, the overall result will be true. As a result, statement1 will not be executed, and statement2 will be executed instead.

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An increase in the rate of inflation will: Multiple Choice increase the nominal interest rate while lowering the real interest rate. increase the real interest rate but not affect the nominal interest rate. decrease both the real and the nominal rate of interest. increase both the real and the nominal rate of interest. increase the nominal interest rate but will not affect the real interest rate.

Answers

An increase in the rate of inflation will increase the nominal interest rate while lowering the real interest rate.

When the rate of inflation rises, it affects both the nominal and real interest rates. The nominal interest rate is the stated or observed interest rate, while the real interest rate is adjusted for inflation and represents the purchasing power of the interest earned or paid. Inflation erodes the purchasing power of money over time.

As inflation increases, lenders and investors demand higher nominal interest rates to compensate for the expected loss in purchasing power. However, while the nominal interest rate rises, the real interest rate, which takes inflation into account, decreases because the purchasing power of the interest earned or paid is reduced.

In summary, an increase in the rate of inflation will result in an increase in the nominal interest rate but a decrease in the real interest rate due to the erosion of purchasing power caused by inflation.

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Which inequality is equivalent to 3+4/x>_x+2/x

Which inequality is equivalent to 3+4/x&gt;_x+2/x

Answers

Answer:

the right answer is the first one

2x+2 over x >0

The methods used to analyze data produced by scientific studies are called:_____.
a. experiments.
b. correlations.
c. statistics.
d. replications.

Answers

The methods used to analyze data produced by scientific studies are called statistics. Option (c) is correct.

What are experiments and how do we analyze them using statistics?

Experiments are procedures or methods carried out under controlled conditions to discover a new fact or to test or  establish a hypothesis  that already exists.

From experiments we generate certain scientific data but to analyze data we need statistics.

Statistics is a process of collecting and analyzing and interpreting data.

Therefore the methods used to analyze data produced by scientific studies will be done by statistics.

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Answer:

Step-by-step explanation: Hello,

the answer

a magician designed an unfair coin so that the probability of getting a head on a flip is $60\%$. if he flips the coin three times, what is the probability that he flips more heads than tails? express your answer as a common fraction.

Answers

Probability of getting a head is 60%

More heads than tails means these possibilities are

2 Heads - 1 Tail

3 Heads - 0 Tails

Probability of 2 Heads and 1 Tail =   C (3,2) (.60) ^2 (.40)  

=3 * (.36) (.40)  

=3 * .144

=3 (144/1000)  

=3 (18/125)

=54/125

Probability of 3 Heads = (.60) ^3

= .6 (.36)

= .216 = 216 / 1000

= 27 / 125

Hence, total probability =   54 / 125 + 27 / 125

= 81 / 125

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pls help <333 (don’t mind the white part, it was wrong)

pls help &lt;333 (dont mind the white part, it was wrong)

Answers

The length of MS is 10 cm and diameter of the circle is RS

Given that the midpoint of PQ is M

RM is 10 cm and PQ is 24 cm

We have to find the length of MS

As M is midpoint then RM=MS

MS = 10 cm

Now the diameter of the circle is RS because it passes through middle of the circle which is center O

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in sixth-grade math class, four students found the GCF of 24,40, and 72. Omar said that the GCF is 4. Brendan noted that the Gcf is 8 Christopher said that the Gcf is 2 . donna said that the GCF is 12. who is correct 1 point
omer
Brendan
Christopher
Donna

Answers

The greatest common factor of 24,40 and 72 is 8, which is correctly found by Brenden.

Given the numbers for which the GCF is to be found are:

24,40 and 72.

first take out the least common factors of the numbers:

24 = 2×2×2×3

40 = 2×2×2×5

72 = 2×2×2×3×3

When two or more numbers are supplied, the GCF (Greatest Common Factor) is the sum of all the common factors, which is the largest number. The greatest integer that can divide both x and y evenly and leave no leftover is the GCF of two natural numbers, x and y. Division, multiplication, and prime factorization are the three common methods used to determine GCF.

so the GCF is 2×2×2 = 8

we should choose Brendon.

Hence the correct GCF is 8, computed by Brendan.

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Answer: Brendan

Step-by-step explanation: I took the quick check trust me

cual es el reciproco de 3 1/5

Answers

Answer:

5/16

Step-by-step explanation:

Im guessing your asking for the recipricol of 3 1/5

Turn to improper fraction, 16/5

recipricol means to flip so it's 5/16

Ruby has saved $4072.24 towards her retirement by the time she is 26 years old. She initially invested $2500 in an account that earned interest compounded annually. If Ruby made the investment on her sixteenth birthday at what rate has the account been earning interest?

Answers

At 5% rate the account been earning interest.

Given that Ruby has saved $4072.24, and she initially invested $2500, we can plug in these values into the formula:

4072.24 = 2500(1 + r/1\()^{(1 )(10)\)

Simplifying the equation, we get:

(1 + r)¹⁰ = 4072.24/2500

Taking the 10th root of both sides, we have:

1 + r = (4072.24/2500\()^{(1/10)\)

Subtracting 1 from both sides, we find:

r = (4072.24/2500\()^{(1/10)\)- 1

r = 1.05000008852 - 1

r = 0.05000008852

r = 5%

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For what value of K system has non zero solution?

Answers

The required value of k will the system of linear equations has infinite number of solutions is 6.

What is Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Given:

3x + 5y = 0.

2: kx + 10y = 0.

Both equations are expressed as: Whereas a1 & a2 are the coefficients of x, b1 & b2 are the coefficients of y, and c1 & c2 are the constants

The solution indicates that:

a1 = 3 a2 = k b1 = 5 b2 = 10 c1 = 0 c2 = 0

Only when the equation is satisfied by a nontrivial solution, or with values other than x = 0 and y = 0,

will the equation have a nonzero solution. If the above numbers are entered into the equation for the given system of equations, there will be a non-zero solution.

\(\frac{a_{1}}{a_{2}} =\frac{b_{1}}{b_{2}}\)

9/k = 5/10

5k = 30

k = 6

Thus, required value of k is 6.

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Complete Question:

The value of k for which the system of equations 3x + 5y = 0 and kx + 10y = 0 has a non - zero solution, is

if a dish is made with 6 1/3 cups of pasta and one serving of the pasta is 0.2 cups . how many servings of pasta were in the dish? ​

Answers

Answer:

15.83 servings

what is the decimal equivalent of the hex number 0x3f

Answers

The decimal equivalent of the hex number 0x3F is 63.

To convert the hex number 0x3F to its decimal equivalent, we need to multiply each digit by the corresponding power of 16 and sum them up.

Starting from the rightmost digit, we have:

The digit 'F' represents the decimal number 15.The digit '3' represents the decimal number 3.

Now, we multiply each digit by the corresponding power of 16:

The digit 'F' is in the 1's place, so we multiply it by 16^0, which is 1.The digit '3' is in the 16's place, so we multiply it by 16^1, which is 16.

Finally, we sum up the results:

(15 * 1) + (3 * 16) = 15 + 48 = 63

Therefore, the decimal equivalent of the hex number 0x3F is 63.

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The probability that the interval estimation procedure will generate an interval that contains the actual value of the population parameter being estimated is the _____.

Answers

The population parameter being estimated is the confidence coefficient.

What is a confidence coefficient?

The confidence coefficient is the confidence level stated as a proportion, rather than as a percentage. For example, if you had a confidence level of 99%, the confidence coefficient would be . 99. In general, the higher the coefficient, the more certain you are that your results are accurate.

probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Hence, The probability that the interval estimation procedure will generate an interval that does not contain the actual value of the population parameter being estimated is the confidence coefficient.

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5. in a maths test , Archie got1/5 of the questions wrong.
a What was Archie's percentage score?
b. Explain why it is not possible to work out his actual score.

Answers

Answer:

Step-by-step explanation:

a) Out of 5, 1 only one is wrong. So number of questions answered correctly is (4/5)

To find the percentage, multiply (4/5) by 100

    \(\sf \dfrac{4}{5}*100 = 4* 20 = 80 \%\)

b) It is not possible to find the actual score because we don't know how many questions were there actually and the score for each question.

Answer:

jajajjajaja

Step-by-step explanation:

sdfgsdfgsdfg

Volume of a cube (cm') = width (cm) x height (cm) x length (cm). 1.1) Using the equation above, determine the volume of a cube that measures 3 cm wide, 3 cm tall, and 3 cm long. 1.2) Let's say this cube is made out of ice and has a mass of 24.76 grams (g). What is this ice cube's density? 1.3) The density of liquid water is slightly higher than that of frozen water ice. Liquid water's density at standard pressures and temperatures is 1.00 grams per cubic centimeter (g/cm'). Given that density, what is the mass of a cube of water measuring 3 cm wide, 3 cm tall, and 3 cm long? 1.4) Compare the weight of the water you calculated in question 1.3 with the weight of the ice of the same volume given in question 1.2. Which is heavier, the liquid water or the ice? Notice that the cube of water is the same size (or volume) as the cube of ice. 1.5) You know that ice floats on water. Explain why.

Answers

1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:

Volume = 3 cm x 3 cm x 3 cm = 27 cm³.

Therefore, the volume of the cube is 27 cubic centimeters.

1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:

Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.

Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:

Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.

Therefore, the mass of the water cube is 27 grams.

1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.

Therefore, the weight of the water and the ice would be the same under the same conditions.

1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.

When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.

In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

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Using these clues, make a quadilateral. Write the name and each side. What is the perimeter?
1. rectangle with sides 7 feet
2. 7feet
3. 10 feet
4. 10feet

Answers

The name of my shape is a parallelogram. The sides are:

7 feet7 feet10 feet10 feet

The perimeter is 34 feet because:

Step 1: Add smaller groups.

10 + 10 = 20

7 + 7 = 14.

Step 2: Add the two numbers.

14 + 20 = 34.

Hope this answer helps you!

T/F If the equilibrium wage in the market for unskilled labor is $8.00 per hour, and the government sets a minimum wage at $7.50 per hour, unskilled workers will receive a pay cut of about 50 cents per hour.

Answers

The minimum wage set by the government at $7.50 per hour does not result in a pay cut for unskilled workers, as it is below the equilibrium wage of $8.00 per hour.

The wage rate remains unchanged, and the labor market remains in balance.

The statement is false.

False.

The equilibrium wage in the market for unskilled labor is $8.00 per hour, which means that the market naturally sets the wage rate at this level, based on the forces of supply and demand.

The government then sets a minimum wage at $7.50 per hour.

Since the minimum wage is below the equilibrium wage, it does not directly impact the wage rate for unskilled workers.
The equilibrium wage represents the point at which the supply of labor (the number of workers willing to work at a given wage) equals the demand for labor (the number of workers that employers are willing to hire at a given wage).

In this case, both workers and employers are satisfied with the $8.00 per hour wage, and the labor market is balanced.
The government sets a minimum wage below the equilibrium wage, it essentially sets a wage floor that is not binding. Employers are still willing to pay the equilibrium wage of $8.00 per hour, and workers are still willing to accept this wage.

The wage for unskilled workers remains at $8.00 per hour, and there is no pay cut of 50 cents per hour.

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bro pls I need this quick ​

 bro pls I need this quick

Answers

Answer: I think 47.5in^2

Step-by-step explanation:

Using the information in the table, which animal shelter shows that exactly 42% of the
total animals are cats?

Using the information in the table, which animal shelter shows that exactly 42% of thetotal animals are

Answers

Answer:

D

Step-by-step explanation:

63/150 = .42 x 100 = 42%

Answer:

D

Step-by-step explanation:

A= 100/160×100%

  =62.5%

B=42/50×100%

  =84%

C=21/42×100%

  =50%

D=63/150×100%

  =42%

Help meeeeeeee!!!!!!!!!!’n

Help meeeeeeee!!!!!!!!!!n

Answers

Answer:

A.

Step-by-step explanation:

Answer:

A. 5 adult tickets and 15 children tickets

Step-by-step explanation:

What did I do wrong?

What did I do wrong?

Answers

Answer:

you posted this in mathematics

Step-by-step explanation:

you chose to post this in mathematics even though that isn't math and is chemistry

True or false? ( help me please and thank you)

True or false? ( help me please and thank you)

Answers

Answer:

False

Step-by-step explanation:

Well it's True in a way, but they didn't simplify all the way. Correct simplification would be 1/3

Answer:

It is true

Step-by-step explanation:

As a proportion, they are equal, making it true.

awnser please correctly :(

awnser please correctly :(

Answers

(100, 600)

1/6 or 100/600 is the slope. You can find the Y intercept where X = 0, so the Y intercept would be 0. The equation would be Y = 1/6 + 0

Simplify this expression.
–6w + (–8.3) + 1.5+ (–7w)

Answers

The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.

What is the simplified form of the expression?

Given the expression in the question;

-6w + (–8.3) + 1.5+ (–7w)

To simplify, first remove the parenthesis

Note that;

- × + = -- × - = ++ × + = +

-6w + × - 8.3 + 1.5 + × - 7w

-6w - 8.3 + 1.5 - 7w

Next collect and add like terms

-6w - 7w - 8.3 + 1.5

Add -6w and -7w

-13w - 8.3 + 1.5

Add -8.3 and 1.5

-13w - 6.8

Therefore, -13w - 6.8 is the simplified form.

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Find the perimeter and area of the shape.

Find the perimeter and area of the shape.

Answers

Answer:

The perimeter is 41

Step-by-step explanation:

The perimeter of a shape is just the sum of all its sides added up. In this case, that would mean the perimeter is:

12 + 9 + 9 + 4.6 + 6.4  = P30 + 11 = P41 = P

Hope this helps!

The answer to the question is 41

What is the value of a preferred stock that pays a perpetual dividend of $220 at the end of each year when the interest rate is 3 percent?

Answers

The value of a preferred stock that pays a perpetual dividend of $220 at the end of each year when the interest rate is 3 percent is $7333.3

How to solve for the value of the

We have to use the formula

Present Value = CF / I

We have CF = 220 dollars

We have the interest rate = 3 percent

Hence present value = 220/0.03

= $7333.3

What is the present value?

This is the term that is used to refer to the future value that a stock would have when it is converted.

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Someone please help me out with this one. If LM=XY, then LM-GH=

Answers

LM=XY, then LM-GH= XY - GH and this illustrates the subtraction property of equality.

How to illustrate the information?

It should be noted that the subtraction property of equality simply implies that when the same number is subtracted form both sides, then the two sides will still remain equal.

In this case, when LM=XY, then LM-GH= XY - GH. This illustrates the subtraction property.

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can you please help me?​

can you please help me?

Answers

Answer: x3−3x2−6x+6

Step-by-step explanation:

Let's simplify step-by-step.

x3−2x+3−(3x2+4x−3)

Distribute the Negative Sign:

=x3−2x+3+−1(3x2+4x−3)

=x3+−2x+3+−1(3x2)+−1(4x)+(−1)(−3)

=x3+−2x+3+−3x2+−4x+3

Combine Like Terms:

=x3+−2x+3+−3x2+−4x+3

=(x3)+(−3x2)+(−2x+−4x)+(3+3)

=x3+−3x2+−6x+6

Answer:  x3−3x2−6x+6

Answer:

Option 2, x^3-3x^2-6x+6

Step-by-step explanation:

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In a circle with radius 3 an angle measuring /4 radians intercepts an arc. Find the length of the arc in simplest form. who ever answers this will get a brainlest Need help Asap please Two problems faced by president Abraham Lincoln in 1861? "Secretors" (genotypes SS and Ss) secrete their A and B blood group antigens into their saliva and other body fluids, while "nonsecretors" (ss) do not. A female of blood type A and genotype IAS s has a child with a man with blood type 0 and genotype ii Ss. What is the probability the child will have a blood type that tests as the O blood type, if typing was done using saliva ? 7/16 5/8 1/4 9/16 3/16 What is the most trusted credit union? Natalia and her friends held a bake sale to benefit a local charity, friends sold 15 cakes on the first dayand 22 cakes on the second day of the bake saleThey collected $60 on the first day $88 on the second day Write an equation to represent the amount R Natalia and her friends raised after selling c cakes . Please i need this asap its due in 15 minutes!! I will give brainliest to whoever gets it right first!! 3. John receives a day worth of pay, p, for 4 days of newspaper delivery. He spent half of his money on gas. Then hespent $5 on coffee. Now he has $35 left. How much does John get paid each day for newspaper delivery?a. Write an expression for the amount of money John earns for 4 days.b. Use part a to write an expression to represent spending half of his money on gas.c. Use part b to write an expression to represent spending $5 on coffee.d. If John has $35 left, write an equation that can be used to find how much John gets paid each day. Solve. QUESTION 12 If a company's days sales in receivables is 32 days what is their receivables turnover?O a. 12.25xO b. 14.37xO c. 11.41xO d. 12.67x which of the following would cause short-run aggregate supply to decrease? choose 1 answer: choose 1 answer: (choice a) a an increase in consumption (choice b) b firms anticipate lower in Select the text that best supports the inference that Cordelia had forgiven King Lear 4. Which of these is an example of a vertebrate?snailsfrogssea starssquid He finds people who are lost. A word start with T to describe the above description. 3. Amma n'a pas de stylo, elle emprunte ............. de Serwa. If you were a justice on the layshock v. hermitage school district case what questions would you ask the plaintiffs and defense? What could humans do to make enough oxygen to survive? An advantage of using longitudinal studies is that __________. a. they are relatively inexpensive b. they take little time to conduct c. they generally have small amounts of data d. subject variation is often reduced please select the best answer from the choices provided a b c d using the rule of 70, how many years will it take an investment to double if the return is 5 %? round your answer to two decimal places. What remedies are available after an anticipatory repudiation? Choose 3 answers. Yesterday, there were 100 problems assigned for math homework. Pablo got 60 problems correct and 40 problems incorrect. What percentage did Pablo get correct?