​Elsie's aunt borrows​ $400 with an interest rate of​ 1.5%. How much interest will she pay after 4​ years?

The differential equation concerning the given question is Q' = -2.5Q Q(0) = 0 . Therefore the required correct answer for the question is Option A.

a) The differential equation expressing the quantity Q(t)  of warfarin in the body, at t hours later when a patient who is suffering from Warfarin  is given a pill containing 2.5 mg of Warfarin then,

dQ/dt = -kQ
here Q(0) = 2.5

b) The differential equation the expressing the quantity Q(t)  of warfarin in the body, at t hours later when a patient who is not suffering from Warfarin  is given a pill containing 0.5 mg/hr then,

dQ/dt = -kQ + r
where Q(0) = 0
Here
k = rate constant
r = rate of administration
The differential equation concerning the given question is Q' = -2.5Q Q(0) = 0 . Therefore the required correct answer for the question is Option A.

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The rate at which Warfarin leaves the body should be proportional to the amount still in the body, not a constant rate of 2.5. So the correct differential equation for part (b) is:

Q' = 0.5 - kQ, where Q(0) = 0

Where k is the proportionality constant for the rate of elimination.

Explanation

(a) Let's denote the rate of elimination as k, where k > 0. Since the elimination rate is proportional to the amount of warfarin, we can write the differential equation as:

Q'(t) = -kQ(t)

Given that the initial condition is a 2.5 mg pill, the initial condition should be:

Q(0) = 2.5

So the differential equation for part (a) is:

Q'(t) = -kQ(t), Q(0) = 2.5

(b) In this case, the patient receives warfarin intravenously at a rate of 0.5 mg/hour. Thus, we should add the rate of administration to our equation:

Q'(t) = 0.5 - kQ(t)

The initial condition is still that the patient has no warfarin in her system:

Q(0) = 0

So the differential equation for part (b) is:

Q'(t) = 0.5 - kQ(t), Q(0) = 0

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Answer:

Similarly, the distance between two points P1 = (x1,y1,z1) and P2 = (x2,y2,z2) in xyz-space is given by the following generalization of the distance formula, d(P1,P2) = (x2 x1)2 + (y2 y1)2 + (z2 z1)2. This can be proved by repeated application of the Pythagorean Theorem.

Step-by-step explanation:

Use a calculator  

Answer:

y = 3x - 8    

Step-by-step explanation:

All the options are written in slope-intercept ( \(y = mx + b\)) form. So, what we can do with the given information is write the equation in point-slope form first, then convert it to slope-intercept form.  

1) First, use the point-slope formula \(y-y_1 = m (x-x_1)\) to find the point-slope equation of the line. Substitute \(m\), \(x_1\), and \(y_1\) for real values.

Since \(m\) represents the slope, substitute 3 in its place. Since \(x_1\) and \(y_1\) represent the x and y values of one point the line intersects, substitute the x and y values of (5,7) into the appropriate places in the formula as well. This gives the following equation of the line in point-slope form:  

\(y-7 = 3(x-5)\)

2) Now, isolate y in the above equation to find its slope-intercept form.

\(y-7=3(x-5)\\y-7 = 3x-15\\y = 3x -8\)

Thus, the answer would be the third option as it matches the result we received.

Answer:

y ≤ 1/3x - 4

Step-by-step explanation:

it could not be options 3 or 4 because the y-intercept is -4, not +4

I picked a point in the shaded area to see which inequality, the first or the second, would make it true; the point I used was (3, -4)

1st option:  y ≥ 1/3x - 4        Is this true? -4 ≥ 1/3(3)  No, -4 is not GE 1

2nd option: y ≤ 1/3x - 4        Is this true? -4 ≤ 1/3(3)  Yes, -4 is LE 1  

The value of e (exponential) is approximately equal to 2.718281 which is rounded to 6 digits. The exponential constant frequently happens in mathematics every time the exponential functions are involved.

Log mention to a logarithm to the base 10. Ln mentions a logarithm to the base e. This is also known as a common logarithm. This is also known as a natural logarithm.

The first common log is represented as log 10 (x) The second natural log is represented as log e (x) The exponent form of the common logarithm is 10 x =y.

An exponential function is a function in which a number or data is raised to the power of another number or a variable.

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Answer:

false negatives - 2%

false positives - 3%

Step-by-step explanation:

Here is the complete question :

A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an infection is not present.

% of results will be false negatives, and % of results will be false positives.

False negative means a negative result which in actuality it is positive

False negative = 100% - percent of positive result

100% - 98% = 2%

False positive result means a positive result which in actuality is negative

False positive = 100% - percent of false positive

100 - 97 = 3%

As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.

Similarity theorem:

In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.

Given,

Here we need to find the t value of will make the triangles similar by the similarity theorem.

For example, we are told that the 2 triangles are similar by SSS theorem.

Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem

Therefore, in the triangles ,applying the SSS postulate gives;

=> x/35 = 44/20

Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;

=> x = (44 * 35)/20

When we simplify this one then we get,

=> x = 77

Therefore, the value of x is 77.

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Answer:

+2

Step-by-step explanation:

she can make 10 s'mores.

Answer:

122fee/meter

Step-by-step explanation:

Given the expression for the initial fee plus a constant fee per meter expressed as;

F = 110 + 0.12d

Is d = 100m

Substiutte into the expression and get F

F = 110 + 0.12(100)

F = 110 + 12

F = 122

Hence the required increase in price is 122fee/meter

Answer:

110

Step-by-step explanation:

The statements which are not true are A, C, and D.

Suppose A is an n x n matrix and I is the n x n identity matrix.  A. The zero matrix A may have a nonzero eigenvalue. If a scalar A is an eigenvalue of an invertible matrix A, then 1/λ is an eigenvalue of A. D. c. A is an eigenvalue of A if and only if à is an eigenvalue of AT. If A is a matrix whose entries in each column sum to the same numbers, thens is an eigenvalue of A.

E A is an eigenvalue of A if and only if λ is a root of the characteristic equation det(A-X) = 0. F The multiplicity of an eigenvalue A is the number of times the linear factor corresponding to A appears in the characteristic polynomial det(A-AI). An n x n matrix A may have more than n complex eigenvalues if we count each eigenvalue as many times as its multiplicity. We need to choose one statement that is not true.

Let us go through each statement one by one:Statement A states that the zero matrix A may have a nonzero eigenvalue. This is incorrect as the eigenvalue of a zero matrix is always zero. Hence, statement A is incorrect.Statement B states that if a scalar λ is an eigenvalue of an invertible matrix A, then 1/λ is an eigenvalue of A. This is a true statement.

Hence, statement B is not incorrect.Statement C states that A is an eigenvalue of A if and only if À is an eigenvalue of AT. This is incorrect as the eigenvalues of a matrix and its transpose are the same, but the eigenvectors may be different. Hence, statement C is incorrect.Statement D states that if A is a matrix whose entries in each column sum to the same numbers, then 1 is an eigenvalue of A.

This statement is incorrect as the sum of the entries of an eigenvector is a scalar multiple of its eigenvalue. Hence, statement D is incorrect.Statement E states that A is an eigenvalue of A if and only if λ is a root of the characteristic equation det(A-X) = 0.

This statement is true. Hence, statement E is not incorrect.Statement F states that the multiplicity of an eigenvalue A is the number of times the linear factor corresponding to A appears in the characteristic polynomial det(A-AI).

This statement is true. Hence, statement F is not incorrect.Statement A is incorrect, statement C is incorrect, and statement D is incorrect. Hence, the statements which are not true are A, C, and D.

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The given function is f(x) = 15(1.02)^x, where x is the number of years from the date at which money is initially deposited.

This means that $15 were initially deposited into the account, and the amount grows at an annual rate of 2% (which is represented by 1.02 being raised to the power of x).

Therefore, the correct answer is: $15 were initially deposited into the account, which grows at an annual rate of 2%.

Hope I helped you...

Answer:

Hello,

Step-by-step explanation:

\(\overrightarrow{x}=\overrightarrow{-c}+\overrightarrow{a}+\overrightarrow{b}\\\\=-\overrightarrow{c}+\overrightarrow{a}+\overrightarrow{b}\)

Answer:

y= -2/1x+5  -2x+5y=1

Step-by-step explanation:

Answer:

y= -2/1x+5  -2x+5y=1

Step-by-step explanation:

The measure of the angle ∠DBC, m∠DBC, found by writing an equation based on the angle addition postulate is m∠DBC = 30°

An equation consists of two expressions that are specified as being equivalent, by joining them by an equals to '=' sign.

The specified information are;

m∠ABD = (3·x+ 15)° and m∠DBC = (2·x)°, m∠ABC = 90°

The angle addition postulate indicates that we get;

m∠ABC = m∠ABD + m∠DBC

m∠ABC = 90° = (3·x+ 15)°  + (2·x)° (substitution property)

90° = (3·x+ 15)°  + (2·x)°  = (5·x+ 15)°

(5·x + 15)° = 90°

5·x = 90° - 15° = 75°

5·x = 75°

x = 75°/5 = 15°

x = 15°

m∠DBC = 2·x

Therefore, m∠DBC = 2 × 15° = 30°

m∠DBC = 30°

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Answer:

C

Step-by-step explanation:

Lets go one step at a time.

This eliminates option A because, it continuous to speed up so therefore, option A is out.

This does eliminates a option. It eliminates D because, it says approximately the same speed however, D is too sharp and straight.

This one eliminates option B because, it says Brian only speeds up once and that was at the beginning so therefore, option B won't work

I believe C would be correct is correct because, there isn't any other option and it fits everything

Therefore, your answer would be C.

Answer:

3

Step-by-step explanation:

because he has 2 pants and they could get washed do he could wear the three shirts and wear the same pants again.

Answer: I calculated the surface area of a cube whose edge is 4.2 m

Step-by-step explanation: hope this helps

Answer:117

Step-by-step explanation:

I’m good at math

Answer:

117 Roses

Step-by-step explanation:

234 *0.5 = 117

Answer:

x = 2

Step-by-step explanation:

all the angles in a triangle that are added together will equal 180 degrees

so having known that you will get this equation: \/

                                                                      2x+5+8x=25

                                                                      then you solve

8x+2x+5=25

10x+5=25

10x=20

x=2

Answer:

40

Step-by-step explanation:

use your brain, if you can't get it, pls comment

Beat one out there

sin theta =  3.7/4.4

10.8 sin theta time 4.4 =40

The average speed during the interval between 1 second and 2 seconds is most nearly 8 m/s, which corresponds to option (E).

To determine the average speed during the interval between 1 second and 2 seconds, we need to find the displacement of the object during that time interval and divide it by the duration.

Looking at the graph, we can observe that the object's position increases from approximately 0 meters at 1 second to approximately 8 meters at 2 seconds.

Therefore, the displacement is 8 meters - 0 meters = 8 meters.

The duration of the time interval is 2 seconds - 1 second = 1 second.

To calculate the average speed, we divide the displacement by the duration:

Average speed = Displacement / Duration = 8 meters / 1 second = 8 m/s.

Therefore, the average speed during the interval between 1 second and 2 seconds is most nearly 8 m/s, which corresponds to option (E).

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Answer:

we don't have a temperature so it would be difficult to figure this out

Step-by-step explanation:

Answer: C. 12000(1.05)^n < 20000

Step-by-step explanation:

When it says that the tuition is increasing at a rate of 5%, it means that you add 1

1+0.5= 1.05

Everything else is the same so you just add 1 to 0.5 and that is the answer.

Given, there are positive constants a and c such that T(n) = ∑j=2n (a + (j − 1)c)We know that the sum of the first n natural numbers is given by : S(n) = 1+2+3+...+n = n(n+1)/2.Hence, ∑j=2n (a + (j − 1)c) = ∑j=1n-1 ((a+cj)) = a(n-1) + c ∑j=1n-1 j = a(n-1) + c n(n-1)/2.

Now, there are constants A, B, and C such that T(n) = An² + Bn + C. Let's assume T(1) = a, T(2) = a + 3c, and T(3) = a + 6c.Subtracting the equation of T(1) from the equation of T(2) gives 2c = B + A.Subtracting the equation of T(2) from the equation of T(3) gives 3c = 4A + BHence, A = c/2 > 0.B = 2c − A = 3c/2 > 0.C = a − B/2 + A/2 = a − c/4. Answer: A = c/2, B = 3c/2, C = a − c/4.

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4.) The correct equation that represents Fred's score would be = 2+f = 16. That is option B.

5.) coefficient = 5

variable = x

constant= -8 and 12

Sally game scores= 2 + f

Fred game scores = f

The total scores of Sally = 16 points

Therefore to calculate the score of Fred = 2+f = 16

Make f the subject of formula = f = 16-2 = 14

For the given equation which is 5x - 8 = 12. The parts of the equation include the following;

Coefficient= This is the number that is used to multiple a variable. Example is the 5 attached to X.

Variable: This is part of an equation that is varying or changing which is represented by a letter such as X in the given equation.

Constant: This is a fixed quantity that doesn't vary.

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1.  The option D) SSRIs, The greatest success in treating major depression has been observed with the use of selective serotonin reuptake inhibitors (SSRIs).

These drugs are a type of antidepressant that work by increasing the levels of serotonin in the brain. SSRIs are considered to be the most effective medication for the treatment of depression, particularly in the long-term.

2.  the option B) delusion of reference ,A belief that an individual is being singled out for attention is known as delusion of reference. Delusions are a common symptom of schizophrenia and other psychotic disorders.

A delusion of reference is characterized by the belief that everyday events or objects have a special meaning that is directed specifically towards the individual. For example, an individual with this delusion may believe that the radio is broadcasting a message meant for them or that strangers on the street are staring at them because they are part of a conspiracy.

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Answer:

Answers are in bold in explanation

Step-by-step explanation:

We are given the equation:

y = -7x + 8

The first x value is 0

y = -7(0) + 8

y = 8

(0, 8)

The next x value is 7

y = -7(7) + 8

y = -41

(7, -41)

Now we are given the Y value instead of X, so we do this:

36 = -7x + 8

Subtract 8 on both sides to leave -7x alone

28 = -7x

Divide by -7 on both sides to isolate x

-4 = x

(-4, 36)

Answer:

(0,8) (7,-41) (-4,36)

Step-by-step explanation:

y = -7x + 8

y = -7(0) + 8

y = 8

(0,8)

y = -7(7) + 8

y = -49 + 8

y = -41

(7,-41)

(36) = -7x + 8

-7x = 28

x = -4

(-4,36)

It is crystal size and rock texture.

Volcanic rocks are another name for extrusive rocks. According to their texture and mineral or chemical makeup, igneous rocks are categorized. The rate of cooling affects the texture of the rock. The crystals grow larger as the rock cools more slowly.

Thanks,

As the last answer for today.

Happy Thanksgiving

- Eddie E.