A city has a population 290,000 of people. Suppose that each year the population grows by 5.5%. What will the population be after 15 years?

Answer:

length is 32 and width is 6

Step-by-step explanation:

12w + 4 = 76

12w = 72

w = 6

6 time 5 is 30 plus 2 is 32

Answer: No solution

Step-by-step explanation:

-10x-16=14

-16x-6=14

-10x-16=-16x-6

-10x+16x-16=-16x+16x-6

6x-16=-6

6x-16+16=-6+16

6x=10

x=10/6

x=5/3

-16(5/3)-6=

-80/3-6*3/3=

-80/3-18/3=

(-80-18)/3=-98/3 \(\neq\) 14

Hence, there is no solution

Answer:

Step-by-step explanation:

To solve this, what you first should do is make one of the variables equal, that way you can eliminate that variable and only have to solve one of them. Let's eliminate y, since that one is easier. As you can see, the y in the first equation is 3 times less than the y in the second, so you would multiply everything the first equation by 3 to help eliminate y. After doing this, you would have -6x + 3y = 48, with which you will add to the second equation, which leaves you with -10x = 50. Since you have a negative x, multiplying both sides by a negative sign will make it much easier to find x's value, which gives you -5 as x's value, so x = -5. Now keep this aside, because it will help you solve.

     Now that you have the value of x (-5), you should replace one of the equations with x's value, so let's just do this to the second equation. Now you have 20 - 3y = 2. Here, you should take the 20 to the right side to isolate 3y from the numbers, which leaves you with -3y = -18. This gives tells you, after simplifying, that y = 6.

     And since the order pair is always (x,y), your answer would be (-5, 6). STILL EDITING ANSWER!

Answer:

1500000

Step-by-step explanation:

Answer:

Step-by-step explanation:

8-2=6

answer is 6

Answer:

2 x 4

Step-by-step explanation:

She need to travel 4 times before she reach the same points again

Answer:

y=4x+3

Step-by-step explanation:

First, see where the line intercepts at the y-axis and use the y-value(which is 3). Then to find the slope(m), use the slope equation y{2}-y{1}/x{2}-x{1}.

Apply this formula to the coordinates(0,3) and (1,7):

This will then equal to

This can be simplified to:

Applying the y-intercept value 3 and the slope 4 to the equation:

The number of ways that the people can be arranged is given as follows:

120,960.

The number of possible permutations of x elements from a set of n elements is given by:

\(P_{(n,x)} = \frac{n!}{(n-x)!}\)

To choose four people from a set of 10, as the order matters, the permutation formula is used, hence:

10!/6! = 5040.

Then we have to consider the four strains, which can be arranged in 4! = 24 ways, hence the number of ways for which the statistics can be arranged is of:

24 x 5040 = 120,960.

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the mοnthly periοdic interest rate, rοunded tο the nearest hundredth οf a percent is (C) 1.31%

Any lοans and bοrrοwings cοme with interest. the percentage οf a lοan balance that lenders use tο determine interest rates. Cοnsumers can accrue interest thrοugh lending mοney (via a bοnd οr depοsit certificate, fοr example), οr by making a depοsit intο a bank accοunt that pays interest.

We must divide its yearly percentage rate (APR) by 12 tο determine a mοnthly periοdic interest rate (the number οf mοnths in a year).

Hence, the periοdic interest rate fοr each mοnth is:

15.75% / 12 = 1.3125%

The result οf rοunding tο the clοsest hundredth οf such a percent is:

1.31%

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Answer:

\(a(1) = 144\)

\(a(n) = 144{( - \frac{1}{6} )}^{n - 1} \)

\(a(n) = - \frac{1}{6} a(n - 1)\)

The equation become u = k p^2 / d.

According to the statement

we have given that some conditions for the equations and we have t make the equation from the given equations.

So, For this purpose, we have given that

The equation in which u is varies directly with the square of p and inversely with d and use the k as the constant of proportionality.

So, From all these above the equation will become is

u = k p^2 / d

In latex form the equation write as :

\(u = \frac{kp^{2}}{d}\)

In this equation all the given conditions are applicable.

So, The equation become u = k p^2 / d

Disclaimer: This question was incomplete. Please find the full content below.

Question:

Write an equation that expresses the following relationship. u varies directly with the square of p and inversely with d In your equation, use k as the constant of proportionality.

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True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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There are 9,000 numbers that have 7 in the thousands of places and are less than 54,000.

Consider the possible digits in the hundreds, tens, and one's places.

Thousands of places: There is only one possibility, which is 7.

Hundreds place: Any digit from 0 to 9 is possible.

Tens place: Any digit from 0 to 9 is possible.

One place: Any digit from 0 to 9 is possible.

Since the number is less than 54,000, the digit in the hundreds place cannot be 5.

So, there are 9 possible digits (0 to 9, except 5) for the hundreds place, and 10 possible digits (0 to 9) for the tens and one's places.

So, the total number of such numbers is:

9 x 10 x 10 x 10 = 9,000

Therefore, there are 9,000 numbers that satisfy the given condition.

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Answer:

A and B

Step-by-step explanation:

multiply

Answer:

A. and B.

Step-by-step explanation:

They both equal to 54

The probability that a person who tests positive actually has the disease is 0.012%

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

The probability that a person who tests positive actually has the disease is represented as

Probability = Incidence rate * False positive rate

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

Probability = 0.3% * 4%

Evaluate the products

Probability = 0.012%

Hence, the probability is 0.012%

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Answer:

(a) 0.0000245

(b) 0.000025

Step-by-step explanation:

The complete question is:

Suppose that a computer chip company has just shipped 10,000 computer chips to a computer company. Unfortunately, 50 of the chips are defective. (a) Compute the probability that two randomly selected chips are defective using conditional probability. (b) There are 50 defective chips out of 10,000 shipped. The probability that the first chip randomly selected is defective is  50 /10,000  = 0.005.  Compute the probability that two randomly selected chips are defective under the assumption of independent events.

Solution:

(a)

In this case we need to compute the conditional probability of selecting two defective chips, i.e. the selection of the second defective chip is dependent on the first defective chip.

The probability of selecting the first defective chip is:

\(P(1D)=\frac{50}{10000}=0.005\)

Now there are 9999 chips left and 49 defective chips among them.

The probability of selecting the second defective chip is:

\(P(2D)=\frac{49}{9999}=0.0049\)

Compute the probability that two randomly selected chips are defective using conditional probability as follows:

P (Two defective chips) \(=P(1D)\times P(2D)=0.005\times 0.0049=0.0000245\)

Thus, the answer is 0.0000245.

(b)

Compute the probability that two randomly selected chips are defective under the assumption of independent events as follows:

The above statement implies that the selection was done with replacement.

The probability is:

P (Two defective chips) \(=P(1D)\times P(2D)\)

                                      \(=\frac{50}{10000}\times \frac{50}{10000}\\\\=0.005\times 0.005\\\\=0.000025\)

Thus, the probability that two randomly selected chips are defective under the assumption of independent events is 0.000025.

The volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

To calculate the volume of the tree stump, we can use the formula for the volume of a cylinder, which is given by:

Volume = π * r^2 * h

Given:

Radius (r) = 20 inches

Height (h) = 0.7 feet

First, let's convert the height from feet to inches since the radius is already in inches. There are 12 inches in 1 foot, so:

Height (h) = 0.7 feet * 12 inches/foot = 8.4 inches

Now, we can substitute the values into the volume formula:

Volume = π * (20 inches)^2 * 8.4 inches

Calculating the volume:

Volume = 3.14159 * (20 inches)^2 * 8.4 inches

≈ 3.14159 * 400 inches^2 * 8.4 inches

≈ 1005.3096 cubic inches

Rounding the volume to the nearest tenth:

Volume ≈ 1005.3 cubic inches

Therefore, the volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

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Answer:

Step-by-step explanation:

No. The reported return rate appears lower than expected.

To determine whether the reported rate of return is reasonable or not, we can calculate the expected rate of return based on the investment amount and the ending value of the account.

First, we need to calculate the total number of quarters that have elapsed between the initial investment and the current quarter. Let's assume that the investment has been held for n quarters.

Then, we can use the following formula to calculate the expected rate of return:

Expected rate of return = (Ending value / Initial investment) ^ (1/n) - 1

Plugging in the given values, we get:

n = 1 (since we are only given information for a single quarter)

Initial investment = 26,245

Ending value = 26,292

Expected rate of return = (26,292 / 26,245) ^ (1/1) - 1 = 0.18%

Comparing the expected rate of return of 0.18% with the reported rate of return of -0.02%, we can see that they are quite different. However, it's important to note that a single quarter's rate of return may not be indicative of the overall performance of the investment.

Therefore, while the reported rate of return seems lower than expected, we would need to consider the performance over a longer period of time to make a more informed assessment of the investment's performance.

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Answer:

The residual is of 7 mg.

Step-by-step explanation:

Linear model:

A linear model has the following format:

\(y = mx + b\)

In which m is the slope and b is the intercept.

Suppose the model had intercept 37 and slope 25.

This means that \(b = 37, m = 25\)

So

\(y = 25x + 37\)

9 grams of fiber

This means that \(x = 9\). So

\(y = 25(9) + 37 = 262\)

255 milligrams of potassium. What is the residual (in mg)?

Expected subtracted by actual. So

262 - 255 = 7

The residual is of 7 mg.

Answer:

Hey! so the answer is $750

Step-by-step explanation:

Here is why: $550 is how much money someone already has in their account. After that you have 3% simple interest each year. 3% of 550 is 16.5. Do 16.5x10 and you will get 165. 165 plus the money already in someones account would equal $750.

Hoped this helped Im Eve btw. Hope you have a great day and consider marking this brainliest Thank you so much if you do! ✨

Answer:

N = a+( n - 1) d

Step-by-step explanation:

Where n is the nth term

A is the first term

D the common difference between the terms in d sequence

Answer:

243 stickers

Step-by-step explanation:

346-38=308

308-49= 259

259-16=243

25% percent of the females in Math town have brown eyes. To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes

what is percent  ?

A percent is a way of expressing a number as a fraction of 100. The symbol for percent is %, which means "per hundred".

In the given question,

Let's assume that there are 100 people in Math town.

60% of them are males, so there are 60 males and 40 females.

Out of the 60 males, 30% have brown eyes, so there are 18 males with brown eyes.

28% of the entire population have brown eyes, so there are 28 people with brown eyes.

To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes:

28 - 18 = 10

So, there are 10 females with brown eyes.

Out of the 40 females in Math town, what percentage have brown eyes?

10 brown-eyed females out of 40 females is:

10/40 = 0.25 or 25%

Therefore, 25% of the females in Math town have brown eyes.

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Rounded to the nearest hundredth, the value of y at \(x = 7\) is approximately \(12.78\), according to the concept of linear regression line.

To find the linear regression line for the given data, we can use statistical software or a calculator. The equation of the linear regression line is of the form \(y = mx + b\), where m represents the slope and b represents the y-intercept.

Using the provided data, the linear regression line equation is:

\(\[ y = 1.3642x + 3.2324 \]\)

To find the value of \(y\) at \(x = 7\), we substitute \(x = 7\) into the equation:

\(\[ y = 1.3642(7) + 3.2324 \]\)

Simplifying the equation, we get:

\(\[ y = 9.5494 + 3.2324 \]\[ y = 12.7818 \]\)

In conclusion, the linear regression analysis allows us to determine the relationship between the variables x and y in the given data set. By finding the equation of the linear regression line, we can estimate the value of y for any given x. In this case, the linear regression line equation is \(y = 1.3642x + 3.2324\). By substituting \(x = 7\) into the equation, we find that the estimated value of y is approximately \(12.78\). This analysis provides a useful tool for predicting and understanding the relationship between variables, allowing us to make informed decisions and interpretations based on the data.

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Answer:

.

Step-by-step explanation:

The probability of the event for the given odds in favor (4 to 7) is found as 4/11.

To continue solving, we must represent the ratio as a fraction.

Thus, we have the depiction shown below.

Odds ratio equals 4/7

We use the following equation to translate the aforementioned odd's expression into a probability expression.

This is displayed as

P = (Odds + 1)/(Odds).

Replace the unknown values in the equation above.

The following equation is what we have.

P = (4/7)/(4/7 + 1)

Analyze the amount

This results

P = (4/7)/(11/7)

Put the quotient in product form.

P = (4/7) * (7/11)

Evaluate

P = 4/11

Thus, the probability of event for the given odds in favor (4 to 7) is found as 4/11.

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The base of the ladder is 30 feet from the wall, the top of the ladder is sliding down the wall at a rate of 6 feet per second.

To determine how fast the top of the ladder is sliding down the wall when the base is 30 feet from the wall, we can use the Pythagorean theorem and implicit differentiation.

Step 1: Set up the Pythagorean theorem for the ladder, wall, and ground.
Let x be the distance between the base of the ladder and the wall, and let y be the height of the top of the ladder above the ground. Since the ladder has a length of 50 feet, we have:

\(x^2 + y^2 = 50^2\)

Step 2: Differentiate both sides of the equation with respect to time (t).
Using implicit differentiation, we get:

2x(dx/dt) + 2y(dy/dt) = 0

Step 3: Plug in the given values and solve for dy/dt.
We are given that dx/dt = 8 ft/s (the base is being pulled away from the wall) and x = 30 ft. To find y, plug x = 30 into the Pythagorean theorem equation:

\(30^2 + y^2 = 50^2

y^2 = 50^2 - 30^2\)

y = √(2500 - 900) = √1600 = 40

Now plug in the values of x, y, and dx/dt into the differentiated equation:

2(30)(8) + 2(40)(dy/dt) = 0

Step 4: Solve for dy/dt.
480 + 80(dy/dt) = 0
80(dy/dt) = -480
dy/dt = -480 / 80 = -6

So, when the base of the ladder is 30 feet from the wall, the top of the ladder is sliding down the wall at a rate of 6 feet per second.

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Answer:

add two side by side values

Step-by-step explanation:

there are 5 values at the base of the pyramid.

4, 6, 3, 7 and 2

let's look at 6 and 3 first. when you add them together, you will get 9, which make up the upper layer of the pyramid. we can also support this statement when you add 7 with 2, which is also 9. so when you take 4 and add with 6, you will get 10, when you add 3 and 7, you will get 10.

now, let's see the second bottom layer. we get the answers as 10 in both blanks. so, add 10 with 9 and you will get 19, repeat with the other. so, the third layer will be 19, 19 and 19. to make the third layer complete, add 19 with 19, which will be 38. so, the fourth layer will be 38 and 38. add 38 with 38 and you will get 76 at the top of the pyramid.

Answer:

1.023 x \(10^{14}\)    

Step-by-step explanation:

(3.1 x \(10^{8}\))(3.3 x \(10^{3}\))

(3.1 x 3.3)(\(10^{8}\) x \(10^{3}\))

10.23 x  \(10^{13}\)   When the bases are the same and we are multiplying we add the exponents

10.23 x \(10^{13}\)  Is not in scientific notation because 10.23 is larger than 10

1.023 x \(10^{1}\) x \(10^{13}\)

1.023 x \(10^{14}\)