Rena’s grandfather opened a savings account as a college fund for her. His initial deposit and the yearly simple interest rate are shown.

A college graduate is shown walking up stairs. The bottom step represents three thousand five hundred dollars. The value of the top step is unknown. The distance up the stairs is labeled four years. The simple interest rate is three point two five percent.

How much will Rena have in this account after 4 years?

Enter the correct answer in the box.

The odds of selecting a red 9 is 1/26.

Probability of an event E is represented by P(E)  can be defined as (the number of favorable outcomes) / (Total number of outcomes).

Given the total number of cards in a standard deck = 52

there can be  only two red9 as one 9 from heart and one red from diamond.

So the number of outcome for red 9 =2

the probability of odds of selecting red 9 is \(\frac{2}{52}\) which can be further simplified into \(\frac{1}{26}\).

Therefore , The odds of selecting a red 9 is 1/26.

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The change in profit (ΔP) when the number of units (Δx) increases by 5, based on the given marginal profit function, is -18331.50

To find the change in profit (ΔP) when the number of units (Δx) increases by 5.

we need to evaluate the marginal profit function and multiply it by Δx.

The marginal profit function is given by dP/dx = 12.1(60 - 3x).

We are given the value of x as 121, so we can substitute it into the marginal profit function to find the marginal profit at that point.

dP/dx = 12.1(60 - 3(121))

= 12.1(60 - 363)

= 12.1(-303)

= -3666.3

Now, we can calculate the change in profit (ΔP) by multiplying the marginal profit by Δx, which is 5 in this case.

ΔP = dP/dx×Δx

= -3666.3 × 5

= -18331.5

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The period of the function is 1.57 s.

The amplitude of the function is 6.

The equation of the midline, y = 6 sin 4x + 0.

The general form of a sinusoidal function is y = A sin(Bx - C) + D,

where:

For the given function y = 6 sin 4x, we can see that:

A = 6 (the amplitude is the absolute value of the coefficient of the sine function)

B = 4 (the coefficient of x inside the sine function determines the period)

C = 0 (there is no horizontal shift)

D = 0 (there is no vertical shift, so the midline is the x-axis)

Therefore, the period T is given by:

T = 2π/B = 2π/4 = π/2 = 1.57 s

The midline is the x-axis, so its equation is y = 0.

The amplitude is A = 6.

Therefore, we can write the equation of the function in the general form as:

y = 6 sin 4x + 0

or

y = 6 sin(4x)

Note that since the midline is the x-axis and there is no vertical shift, the sine function will oscillate between -6 and 6.

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Answer:

(a) 8

(b) 9 and 3/4

(c) 6.5

(d) 1 and 1/4

Answer:

52 units²

Step-by-step explanation:

A = L × W

Area = Length × Width

First find the total area: 44

Half that to find the total left side that is shaded: 22

Find the bottom right side, imagine it is a seperate shape. It would be 4 × 2 = 8. 44 + 8 = 52.

- Educator

The statement "a line segment is a part of a line that is bounded by two distinct end points and contains every point on the line between its endpoints." is True because a line segment is defined as a part of a line that is bounded by two distinct end points and contains all the points on the line between those endpoints.

A line segment is a part of a line that has two endpoints and connects them. It is the shortest distance between two points and has a definite length, but no width or height. A line segment can be part of a straight line or a curved line.

A line segment is a section of a line that is defined by two distinct end points and includes every point on the line between them. It is the basic building block of geometry and can be used to measure distances, angles, and shapes.

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The Light cream with 19.2% content will have 15.36g of milk.

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here Light cream as 19.2% of 80g

∴ 0.192×80=15.36g

Hence, The Light cream with 19.2% content will have 15.36g of milk.

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Answer:

30

Step-by-step explanation:

\(y\geq 2x-5\)

This is because the equation of the line is y=2x-5, and the y-values have to be greater, so it is >, and since the line is not dotted, it would become greater than or equal to.

I recommend using a class interval of 36.9 for this set of data.

To determine the recommended class interval for the given data, we can use the formula:

Class Interval = (Highest Value - Lowest Value) / Number of Classes

The number of classes is subjective, but a common choice is to use the Sturges' Rule, which is given by the formula:

Number of Classes = 1 + 3.3 * log10(Number of Observations)

Applying Sturges' Rule to the given data:

Number of Classes = 1 + 3.3 * log10(230)
Number of Classes ≈ 8.6

Round the number of classes up to the nearest whole number:

Number of Classes = 9

Now we can calculate the class interval:

Class Interval = (567 - 235) / 9
Class Interval = 332 / 9
Class Interval ≈ 36.9

Round the class interval to 1 decimal place:

Class Interval = 36.9

I recommend using a class interval of 36.9 for this set of data.

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Answer:

C

Step-by-step explanation:

the middle line is the median you can see that they are the same

The circumference of the given circle is 25.1 cm.

According to the statement

we have given that the the radius of circle which is 4cm.

And we have to find the circumference of the circle.

So, For this purpose

The circumference is the length of any great circle, the intersection of the sphere with any plane passing through its center.To calculate the circumference of a circle, multiply the diameter of the circle with π (pi).

The formula to calculate it is

C = 2(pi)r

So, substitute the values in it then

Here use pi value is 3.14

C = 2 *3.14*4

C = 25.12.

The circumference of the given circle is according to one decimal place is 25.12 cm.

So, The circumference of the given circle is 25.1 cm.

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Answer:1/2

Step-by-step explanation:

2 heads

2 tails

2 + 2 = 4

heads - 2/4 - total

1/2

Answer:

15, 8, 13, 13

Step-by-step explanation:

(1) mean =  Σx / n = 135 / 9 = 15

(2) range = highest value - lowest value = 21 - 13 = 8

(3) mode = 13 (most repeated value in data set)

(4) for 9 values in a data set, we have that (9 + 1) / 2 = 5th number

median = 13

Given :

Ben's age x is 3 times his age 12 years ago.

To Find :

The  current age of Ben.

Solution :

It is given that current age of Ben is x.

So, his age 12 years ago is (x - 12).

Expressing given condition mathematically , we get :

\(x=3(x-12)\\\\x=3x-36\\\\2x=36\\\\x=18\ years\)

Therefore, current age of Ben is 18 years.

Hence, this is the required solution.

The expression that is equivalent to the given expression, (3d^4)^2, is 9d⁸

From the question, we are to determine an expression that is equivalent to the given expression.

The given expression is

(3d^4)^2

First, we will write the given expression properly

The given expression written properly is

(3d⁴)²

To determine an expression that is equivalent to the given expression, we will simplify the given expression.
Simplifying the expression.

(3d⁴)²

Applying the exponent law of indices, we get

(3)² (d⁴)²

= 9 × d⁸

= 9d⁸

Hence, the expression is 9d⁸

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Inferential statistic is concerned with making prediction about a population from analyzing a sample or through observation.

Here,

We have to find the concerned with making prediction about a population from analyzing a sample or through observation.

What is Inferential statistic?

Inferential statistics is used in measurements from the sample of subjects in the experiment to compare treatment groups and to make generalizations about the larger population of subjects.

Now,

Inferential statistic is concerned with making prediction about a population from analyzing a sample or through observation.

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The range of a function means all the possible y-values of a function when the domain (all possible x-values) is inputted

From the graph, looking at the y-axis, the line ranges from y = -9 to y = 8

Therefore, the range is

Answer:

i think it is B

Step-by-step explanation

i hope this helps

The fourth-order accurate finite difference approximation is:

u00(x) = c−2u(x − 2h) + c−1u(x − h) + c0u(x) + c1u(x + h) + c2u(x + 2h) + O(h4).

Compute the coefficients using the matlab code fdstencil.m and check that they satisfy the system you determined in part (a).

Test this finite difference formula to approximate u

00(1) for u(x) = sin(2x) with values of h from the array hvals = log space(-1, -4, 13). Make a table of the error vs. h for several values of h and compare against the predicted error from the leading term of the expression printed by  fdstencils.

You should observe the predicted accuracy for larger values of h. For smaller values, numerical cancellation in computing the linear combination of u values impacts the accuracy observed.

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Answer: To convert 20% profit into a profit amount, you would multiply 20% by the revenue or cost of the item or service.

Let's say,

You have revenue of $1000

So,

20/100 * 1000 = $200

So the 20% profit on the revenue of $1000 is $200.

It's important to note that profit is the amount of money you make after you subtract your costs from your revenue. It's the amount you have left after all the expenses, taxes and other deductions are made.

Step-by-step explanation:

Answer:

substitute 2 for x

answer is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

185.94

If B is an echelon form of a matrix A, then the pivot columns of B form a basis for Col A is D. The statement is false because the columns of an echelon form B of A are not necessarily in the column space of A.

To understand why this is the case, we need to first define what an echelon form is. An echelon form is a special type of matrix that has certain properties, including having all zero rows at the bottom, and each pivot (non-zero) element located in a higher row than the pivot element in the previous column.

When we perform row operations on a matrix to put it into echelon form, we are essentially transforming it into a simpler form that allows us to solve systems of linear equations more easily.

Now, let's consider the statement in the question: "If B is an echelon form of a matrix A, then the pivot columns of B form a basis for Col A." The column space of a matrix A, denoted as Col A, is the set of all possible linear combinations of the columns of A. In other words, it is the space spanned by the columns of A.

While it is true that the pivot columns of an echelon form B of A are linearly independent, meaning that they form a basis for the row space of B, they may not necessarily be in the column space of A. This is because the row operations used to put A into echelon form do not affect the column space of A. Therefore, it is possible for the pivot columns of B to be a basis for the row space of B, but not for the column space of A.

In summary, the statement is false because the columns of an echelon form B of A are not necessarily in the column space of A. While the pivot columns of B form a basis for the row space of B, they may not form a basis for the column space of A. Therefore, the correct option is D.

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B. 31

C. 0

Note that:

Whole numbers are positive integers (counting numbers) and zero

They are numbers from zero and above that are neither decimal nor fractions

The whole numbers among the options are 31 and 0

Answer:

y = 15

Step-by-step explanation:

y varies directly as x.

⇒y = kx where k is a constant.

find k:

when x = 4, y = 5

5 = k(4)

5 = 4k

k = 5/4

plug k into the equation:

y = 5/4 k

find y when x = 12:

when x = 12:

y= 5/4(12)

y = 5(3)

y = 15

Answer:

Which expression is equivalent to m-2m-6m?

if this is correct can i have brainliest

Answer:

loading, please wait...

Step-by-step explanation:

Answer:

2y + 5x

Step-by-step explanation:

{ 2y - 2x } - ( - 7x )

= 2y - 2x + 7x

= 2y + 5x