A person invest 7900 in an account growing at a rate allowing the money to double every 8 years. How much money would be in the account after 5 years, to the nearest dollar

Answer:

c(x) = 250 + 0.75x

Step-by-step explanation:

c(x) = 250 + 0.75x

Answer:

C

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

x-7=7-x

2x-7=7

2x=14

x=7

Answer:

x = 7

(Hope this helps! Btw, I am the first to answer. Brainliest pls! :D)

Compared with the graph of the parent function, an equation which shows only a vertical compression by a scale factor of 1/3 and a shift downward of 4 units is: A. y = 1/3∛x - 4.

In Geometry, a scale factor can be defined as the ratio of two corresponding side lengths or diameter in two similar geometric objects (shapes) such as equilateral triangles, square, quadrilaterals, polygons, etc., which can be used to either vertically or horizontally enlarge or reduce (compress) a function representing their size.

Generally speaking, the transformation rule for the dilation of a geometric object (square) based on a specific scale factor is given by this mathematical expression:

(x, y)      →    (SFx, SFy)  = (1/3x, 1/3y)

Where:

In this scenario, the only equation that is vertically compressed by a scale factor of 1/3 and translated (shifted) downward by 4 units is given by:

y = 1/3∛x - 4.

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Answer:

The first part is A

and second part is D

Step-by-step explanation:

100% on edge 2023

The recurrence relation for the number of n-digit quaternary sequences with at least one 1 and the first 1 occurring before the first 0 is:

\(A_n = 2 * A_{n-1}\)

Let's denote the number of n-digit quaternary sequences satisfying the given conditions as \(A_n\). We can establish a recurrence relation for A_n based on the position of the first digit in the sequence.

Consider the possible cases:

1. Case 1: The first digit is 1.

  In this case, the remaining n-1 digits can be any valid (n-1)-digit quaternary sequence that satisfies the given conditions.

Since the first 1 has already been placed, the remaining sequence can have any combination of digits 1, 2, and 3. Hence, the number of such sequences is \(A_{n-1}\).

2. Case 2: The first digit is not 1.

  If the first digit is not 1, it must be 2 or 3 (as per the given conditions). In this case, the remaining n-1 digits can be any valid (n-1)-digit quaternary sequence satisfying the given conditions, without any restriction on the placement of 0s and 1s.

Hence, the number of such sequences is \(A_{n-1}\).

Therefore, the recurrence relation for the number of n-digit quaternary sequences with at least one 1 and the first 1 occurring before the first 0 is:

\(A_n = 2 * A_{n-1}\)

This recurrence relation states that the number of n-digit sequences satisfying the given conditions is twice the number of (n-1)-digit sequences satisfying the same conditions.

We also have the base case A₁ = 1, as there is only one valid 1-digit quaternary sequence that satisfies the given conditions, which is "1".

Using this recurrence relation, you can compute the number of n-digit quaternary sequences with the specified conditions for any given value of n.

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If a is an nn matrix and the equation axb has more than one solution for some b, then the transformation is not one-to-one. This also means that the transformation is not invertible.

This is because if there is more than one solution for a given b, then there is not a unique inverse for the matrix a. In other words, there is not a unique matrix a-1 such that a-1axb = b for all b.

This means that the transformation cannot be reversed or "undone" uniquely, and therefore it is not invertible. Additionally, this implies that the matrix a is not full rank, meaning that its columns are not linearly independent and there is not a unique solution for the equation ax = 0. These properties are all related and are consequences of the fact that the transformation is not one-to-one.

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Answer:

25.

The answer is 25

10÷2=5

10÷5=2

so 25

:)

Hope dis helps

Learning with nat~

A study of accidents in a production plant has found that accidents occur randomly at a rate of one every 4 working days. A month has 20 working days. What is the probability that four or fewer accidents will occur in a month?

The probability that four or fewer accidents will occur in a month is 0.44 (option C).

Rate of accidents= 1 in 4 working days, working days in a month = 20, To find the probability of four or fewer accidents will occur in a month. We have to find the probability P(x ≤ 4) where x is the number of accidents that occur in a month.P(x ≤ 4) = probability of 0 accident + probability of 1 accident + probability of 2 accidents + probability of 3 accidents + probability of 4 accidentsFrom the Poisson probability distribution, the probability of x accidents in a time interval is given by: P(x) = e^(-λ) (λ^x) / x! Where λ = mean number of accidents in a time interval.

We can find λ = (total working days in a month) × (rate of accidents in 1 working day) λ = 20/4λ = 5. Using the above formula, the probability of zero accidents

P(x = 0) = e^(-5) (5^0) / 0!P(x = 0) = e^(-5) = 0.0068 (rounded off to four decimal places)

Using the above formula, the probability of one accidents P(x = 1) = e^(-5) (5^1) / 1!P(x = 1) = e^(-5) × 5 = 0.0337 (rounded off to four decimal places) Similarly, we can find the probability of two, three and four accidents. P(x = 2) = 0.0842P(x = 3) = 0.1404P(x = 4) = 0.1755P(x ≤ 4) = probability of 0 accident + probability of 1 accident + probability of 2 accidents + probability of 3 accidents + probability of 4 accidents= 0.0068 + 0.0337 + 0.0842 + 0.1404 + 0.1755= 0.4406 (rounded off to four decimal places)

Therefore, the probability that four or fewer accidents will occur in a month is 0.44 (option C).

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Answer:

Rhode Island—1,045 square miles (2,707 square kilometers) ...

Delaware—1,954 square miles (5,061 square kilometers) ...

Connecticut—4,845 square miles (12,548 square kilometers)

Step-by-step explanation:

i only got 3 sry

The coordinates of K such that JK is 2/9 of JL are given as follows:

K(3, -4).

The coordinates of K are obtained applying the proportions in the context of the problem.

Considering that JK is 2/9 of JL, the equation is given as follows:

K - J = 2/9(L - J).

Hence the x-coordinate of K is obtained as follows:

x + 3 = 2/9(24 + 3)

x + 3 = 6

x = 3.

The y-coordinate of K is obtained as follows:

y - 4 = 2/9(-32 - 6)

y - 4 = -8

y = -4.

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Answer:

1.ABC is equilateral triangle because all sides are equal

3.because they are the joined figure of a triangle

For one course, there will be at least 10 students.

Given,

The number of students enrolling for a course = 37

Number of courses = 4

We have to find the number of minimum students will be at least for one course;

Here,

Number of students can be divided by number of courses = Anticipated Number of students enrolled for one course

That is,

37 / 4 = 9.25 ≈ 10

Therefore,

There will be 10 minimum students at least for one course.

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The answer is $21,989.34 and Yes, $10,000 invested at 6% interest will double its value in half the time as $10,000 invested at 3% interest.

Now, For the 6% investment:


$10,000 invested at 6% interest will double in 12 years:


$10,000 × (1.06)^12 = $21,989.34


For the 3% investment:


$10,000 invested at 3% interest will double in 24 years:


$10,000 × (1.03)^24 = $21,989.34


Therefore, it will take half the time (12 years) for the 6% investment to double its value compared to the 3% investment (24 years).

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Answer:

\(a=\dfrac{7}{10}\)

Step-by-step explanation:

\(a+\dfrac45=1\dfrac12\\\\\implies a+\dfrac45=\dfrac32\\\\\implies a=\dfrac32-\dfrac45\\\\\implies a=\dfrac{15}{10}-\dfrac{8}{10}\\\\\implies a=\dfrac{7}{10}\)

The equation when solved for b gives b = y - 1/5x

The subject of formula in an equation is defined as the variable or element that is allowed to stand on its own on one end of the equality sign.

It is also described as the variable that is solved or sort for in an equation.

Examples of subject of formula are;

y = mx + b, here the variable 'y' is the subject of formula.

x = 1 + y, here the variable 'x' is the subject of formula.

From the information given, we have that;

Given the formula;

y= 1/5x+b

To make 'b' the subject, move the other variable to the other side

b = y - 1/5x

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Answer:

x+2y+z+80=360°

Step-by-step explanation:

the sum of the interior angles in a quadrilateral is 360°, so the answer is: x+2y+z+80=360°

Answer:

Option 4 - x+2y+z+80=360degrees is the correct answer.

Step-by-step explanation:

As given in the figure, it is a quadrilateral, and as all the angles in this quadrilateral are interior angles, the sum of the interior angles of a quadrilateral will be 360 degrees.

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Answer:

Step-by-step explanation:

It is possible if your friend has a bigger glass than you.

Answer:

1.7, 3.2, 1.6

Step-by-step explanation:

if you add any 2 numbers from the 3 it has to be greater than the last number so

1.7+3.2>1.6

1.6+1.7>3.2

3.2+1.6>1.7

the distribution of y=-log(u) is an exponential distribution with parameter 1.

To find the distribution of y=-log(u), we need to first find the cumulative distribution function (CDF) of y.
Let F(y) be the CDF of y. Then,
F(y) = P(y ≤ y') = P(-log(u) ≤ y') = P(u ≥ e^(-y'))
where y' is any real number.
Since u is uniformly distributed on (0, 1), P(u ≥ e^(-y')) = 1 - P(u < e^(-y')) = 1 - e^(-y')
Therefore,
F(y) = 1 - e^(-y)
This is the CDF of y. To find the probability density function (PDF) of y, we differentiate F(y) with respect to y:
f(y) = F'(y) = d/dy (1 - e^(-y)) = e^(-y)

If U is uniformly distributed on the interval (0, 1), we can find the distribution of Y = -log(U) by determining the probability density function (pdf) of Y. To do this, we'll use the transformation technique.
1. First, we find the inverse transformation: U = e^(-Y).
2. Next, compute the derivative of U with respect to Y: dU/dY = -e^(-Y).
3. Take the absolute value of the derivative: |dU/dY| = e^(-Y).
4. Finally, substitute this value into the pdf of U (which is 1 for a uniform distribution on (0, 1)) and multiply by the Jacobian, which is the absolute value of the derivative of the transformation.
The pdf of Y, denoted as f_Y(y), is given by:
f_Y(y) = f_U(u) * |dU/dY| = 1 * e^(-Y) = e^(-Y), for Y > 0.
This implies that Y follows an exponential distribution with a rate parameter of 1.

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Answer:

yes,5

Step-by-step explanation:

Step-by-step explanation:

Probably a cylinder would work best

volume of a cylinder = pi r^2 h

We have the following:

To calculate the unit price we must calculate the amount of total money spent for the total number of package of toilet paper purchased

Therefore, the answer is the option B

Answer: C -  square root of 74

Step-by-step explanation: took the test and got it right. hope this helps.

have a good day :)

Answer:

\(\sqrt{74}\)

Step-by-step explanation:

Answer and Step-by-step explanation:

The correct answer choice would be to grind the solvent into smaller pieces.

When the solid is in smaller pieces, it would take less time for the dissolver to dissolve the smaller bits, since the pieces are smaller and take up less volume for the dissolver to go through.

With a bigger solid, the dissolver would just chip away at the solid before eventually dissolving the solid, although this could take some time.

#teamtrees #PAW (Plant And Water)

Answer:

Each cookie is $0.67

Step-by-step explanation:

Equation:

1.94 + 12c = 9.98

12c = 8.04

c = 8.04/12

c = 0.67

1 cookie was $ 0.67

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

There are 4 common factors of 30 and 72, that are 1, 2, 3, and 6. Therefore, the greatest common factor of 30 and 72 is 6.

Step-by-step explanation:

84/18=14/3

60/32=15/8

Val dove 2.5 times farther than her friend.

To represent the difference in depth between Val and her friend, we can subtract their respective depths. Val's depth is -119 feet, and her friend's depth is -34 feet.

The equation to represent the difference in depth is:

Val's depth - Friend's depth = Difference in depth.

(-119) - (-34) = Difference in depth.

To subtract a negative number, we can rewrite it as adding the positive counterpart:

(-119) + 34 = Difference in depth.

Now we can simplify the equation:

-85 = Difference in depth.

The result, -85, represents the difference in depth between Val and her friend. However, since the question asks for how many times farther Val dove compared to her friend, we need to express the result as a multiplication equation.

Let's represent the number of times farther Val dove compared to her friend as 'x'. We can set up the equation:

Difference in depth = x * Friend's depth.

-85 = x * (-34).

To solve for x, we divide both sides of the equation by -34:

-85 / -34 = x.

Simplifying the division:

2.5 ≈ x.

Therefore, Val dove approximately 2.5 times farther than her friend.

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Veremos que de los 20 intentos, Mariana metio 16 canastas.

Sabemos que ella tiro 20 veces, y sabemos que ella ha errado 1/5 de los tiros.

Entonces los otros 4/5 tiros entraron. Para obtener el numero de canastas que ha metido, debemos multiplicar la fracción por la cantidad total de tiros al aro:

C = 20*(4/5) = 16

Así, podemos concluir que Mariana ha metido 16 canastas.

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A total of 55.86 minutes have gone by since Greg started his run on the treadmill.

If Greg has completed 57% of his run, it means he has 43% of his run remaining.

To find out how many minutes have gone by, we can use proportions.

Let's say x is the total number of minutes Greg needs to complete his run:

x = 57% * 98 minutes

Evaluate

x =  minutes

Therefore, approximately 55.86 minutes have gone by since Greg started his run on the treadmill.

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(Hey, angles rock!)

Answer:

45 + 60 = 105

Step-by-step explanation:

ABC consists of two angles, angle ABD and angle DBC. Therefore, the sum of the measures of angles ABD and DBC is the measure of ABC.

45 + 60 = 105

The value of E(x- μ) for the population for any given data is always equal to option b. 0.

Sum of squared deviations,

ss = 100

variance, σ² = 4

The value of E(x - μ) for the population can be determined .

Using the relationship between the sum of squared deviations (ss) and the variance (σ²).

ss = n × σ²

where ss is the sum of squared deviations,

σ² is the variance,

and n is the population size.

Substituting these values into the equation, solve for n,

⇒ 100 = n × 4

⇒ n = 100 / 4

⇒ n = 25

The expected value (E) of (x - μ) for the population is zero.

This means that on average, the difference between each data point (x) and the population mean (μ) is zero.

Therefore, the value of the expected operator E(x- μ) for the population is equal to option b. 0

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The above question is incomplete, the complete question is:

A population has sum of squared deviations, ss = 100 and variance, σ² = 4. What is the value of E(x- μ) for the population?

a. 400

b. 0

c. 10

d. 25