Help please I will give Brainliest!!!!
Josiah invested $96,000 in an account paying an interest rate of 3.5% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $153,400?

The coordinate after a rotation of 180° counterclockwise about the origin is (0, 9).

Rotations are transformations that turn a shape around a fixed point. To rotate a shape we need: a centre of rotation. an angle of rotation (given in degrees) a direction of rotation – either clockwise or anti-clockwise.

The given coordinate is (0, -9).

Rotation rule:

Rotating a point that has the coordinates (x,y) 180° about the origin in a clockwise or counterclockwise direction, produces a point that has the coordinates (-x,-y).

Now, (0, -9) → (0, -(-9))

(0, -9) → (0, 9)

Therefore, the coordinate after a rotation of 180° counterclockwise about the origin is (0, 9).

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Given:

The price of a cell phone was marked down by $35.

The original price of the cell phone was $212.

To find:

The percentage rate of the discount.

Solution:

We have,

Price marked down by= $35

Original price = $212

Now, the percentage rate of the discount is

\(Discount\%=\dfrac{\text{Price marked down by}}{\text{Original price}}\times 100\)

\(Discount\%=\dfrac{35}{212}\times 100\)

\(Discount\%=\dfrac{3500}{212}\)

\(Discount\%=16.509434\)

\(Discount\%\approx 16.51\)

Therefore, the rate of discount in percentage is 16.51%.

By replacing the coefficients with different numbers, we have created an expression that resembles Sarah's expression, but the values and resulting calculations are not the same.  

To create an expression similar to Sarah's expression but not equivalent, we can replace the coefficients with different numbers while keeping the variables the same. In Sarah's expression, the coefficient for the first variable is 5, and for the second variable, it is 2.

In the expression 7(4j + 6j), we have chosen the coefficients 7 and 4 to replace the coefficients in Sarah's expression. The second variable remains the same as 3j. This expression looks similar to Sarah's expression but is not equivalent because the coefficients and resulting calculations are different.

For the first variable, the calculation becomes 7 * 4j = 28j. For the second variable, it remains the same as 3j. So the complete expression is 28j + 6j.

By replacing the coefficients with different numbers, we have created an expression that resembles Sarah's expression, but the values and resulting calculations are not the same. This demonstrates that even with similar appearances, the coefficients greatly affect the outcome of the expression.

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Answer:

Step-by-step explanation:

you could do;

10 x -2 = 20

-2 x (-2) x 10 divided by (-2) + 10 + 10 + 10 +10 =20

4 + 4 - 10 x -2 - 4 - 4 = 20

Given:

The figure of a circle.

To find:

The measure of arc AD and measure of each arc.

Solution:

The measure of arc is equal to the central angle of that arc.

The central angle of arc AD is 105 degrees. So,

\(m(arc(AD))=105^\circ\)

The central angle of arc BC is 35 degrees. So,

\(m(arc(BC))=35^\circ\)

The central angle of arc CD is 50 degrees. So,

\(m(arc(CD))=50^\circ\)

The central angle of a complete circle is 360 degrees. So,

\(m(arc(AD))+m(arc(BC))+m(arc(CD))+m(arc(AB))=360^\circ\)

\(105^\circ+35^\circ+50^\circ+m(arc(AB))=360^\circ\)

\(190^\circ+m(arc(AB))=360^\circ\)

\(m(arc(AB))=360^\circ-190^\circ\)

\(m(arc(AB))=170^\circ\)

Therefore, the measure of arc AD is 105°, the measure of arc BC is 35°, the measure of arc CD is 50° and the measure of arc AB is 170°

Answer:

Ten thousands place, and its value is fifty thousand (50,000).

Step-by-step explanation:

3,152,308 in written form is:

"Three million, one hundred and fifty two thousand, three hundred and eight."

3,152,308

The underlined number is in the ten thousands place, and its value is 50,000.  In the attached image, I've plugged in your given numbers into the place value chart to show the place value of each digit.

When he is halfway to the first base, the distance between the second base and the distance is decreasing at the rate of about 10.73 ft/s.

The length of the side of the base is 90 ft. Its speed is 24 ft/s.

Let x = distance he has run at time t and

D = distance from second base at time t, then speed dx/dt = 24 and we calculate dD/dt where x = 45.

From Pythagorean Theorem,

\(D^{2} =(90-x)^{2} +90^{2}\) ,

differentiating with respect to t

2D*dD/dt = 2 (90 − x) (−1) dx/dt + 0

D*dD/dt = − (90 − x)dx/dt

Now, when x = 45,

D =\(\sqrt{(90-45)^{2}+90^{2} }\)

\(=\sqrt{45^{2}+90^{2} }\)

by substituting D we get,

\(\sqrt{45^{2}+90^{2} }\)dD/dt = − (90 − 45) · 24

dD/dt = −45 · 24/\(\sqrt{45^{2}+90^{2} }\)

= −10.73 ft/s

Hence, when he is halfway to the first base, the distance between the second base and the distance is decreasing at the rate of about 10.73 ft/s.

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The value of a is obtained as 7, for the given expression, obtained using the scientific notations.

Numbers that are either too little or too huge to put in conventional decimal form can be expressed using scientific notation. Scientific notation is often known as standard index form simply scientific form among experts.

This notation is frequently used in the work of engineers, mathematicians, and scientists to make it considerably simpler to write large numbers. By using the "SCI" display option on the calculator, you can utilise scientific notation when using one.

The given number is:

63,000,000,000

Write the number in its scientific notation:

6.3 x 10¹⁰

Comparable number is 6.3 x 10³ which is 10ᵃ times larger than the 6.3 x 10¹⁰.

Dividing:

=  6.3 x 10¹⁰ / 6.3 x 10³

= 10⁷

Now, 10⁷ = 10ᵃ

As the base is same , thus the value of a = 7.

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Using this line plot, we can answer questions such as:

What is the most common weight for the puppies?

The most common weight is 3 3/4 lb, which occurs 3 times.

What is the range of weights for the puppies?

The range of weights is from 3 1/4 lb to 4 1/4 lb.

How many puppies weigh less than 4 lb?

Four puppies weigh less than 4 lb.

How many puppies weigh exactly 3 1/2 lb?

Two puppies weigh exactly 3 1/2 lb.

What is the frequency?

The number of periods or cycles per second is called frequency. The SI unit for frequency is the hertz (Hz). One hertz is the same as one cycle per second.

The line plot of the puppies' weights is in the attached image.

Each "*" represents a puppy's weight.

The horizontal axis represents the weight values, and the vertical axis represents the frequency of each weight.

Hence, Using this line plot, we can answer questions such as:

What is the most common weight for the puppies?

The most common weight is 3 3/4 lb, which occurs 3 times.

What is the range of weights for the puppies?

The range of weights is from 3 1/4 lb to 4 1/4 lb.

How many puppies weigh less than 4 lb?

Four puppies weigh less than 4 lb.

How many puppies weigh exactly 3 1/2 lb?

Two puppies weigh exactly 3 1/2 lb.

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94.25

Step-by-step explanation:

If you use the formula C = 2r3.14, you first get 47.1 then multiply that by 2 to get 94.25.

Answer:

The amount of time he spent on the bicycle using substitution method is 4.5 hours .

Step-by-step explanation:

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

A linear equation is defined as an equation that is written in the form of Ax+By=C. It is the combination of two variables and a constant value present in them.

The first step in the substitution method is to find the value of any one of the variables from one equation in terms of the other variable.

Let the total time taken  to complete the race by bicycle be x

Let the total time taken  to complete the race by walking be y

We know,

Speed=Distance/Time

4y+30x=145

x+y=7

Using the substitution method ,

x=7-y

4y+30(7-y)=145

4y+210-30y=145

210-145=26y

y=65/26

y=2.5

So, the amount of time he spent on bicycle is x

x=7-y

x=7-2.5

x=4.5 hours

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Step 1

Simplify the expression.

Step 2

Find a trigonometric identity that can be used to simplify the expression in step 1

Step 3

Get the final answer after substitution.

Hence the right answer is option B

Answer:

30 degrees

Step-by-step explanation:

(75 degrees x 2) = 150 degrees

180 degrees - 150 degrees = 30 degrees

angle 1 = 30 degrees

Answer:

Its B I think

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

Last one could be either "Prove" or "CPCTC"

The two non negative real numbers with a sum of 64 that have the largest possible​ product are; 32 and 32.

Let the two numbers be x and y.

Thus, if their sum is 64, then we have;

x + y = 64

y = 64 - x

Their product will be;

P = xy

Putting (64 - x) for y in the product equation we have;

P = (64 - x)x

P = 64x - x²

Since the product is maximum, let us find the derivative;

P'(x) = 64 - 2x

At P'(x) = 0, we have;

64 - 2x = 0

2x = 64

x = 64/2

x = 32

Thus; y = 64 - 32

y = 32

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Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.

A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.

Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14

Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96

The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.

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In Mrs. Anderson's health class, students are studying the correlation between exercise and heart rate. To measure this correlation, the students ran around the school track for different lengths of time. The data collected can be analyzed using statistical tools such as a correlation coefficient.

This coefficient measures the strength and direction of the relationship between the two variables - exercise and heart rate. The higher the coefficient, the stronger the correlation. In this case, it is likely that the students who ran for a longer duration experienced a higher heart rate, indicating a positive correlation between exercise and heart rate. Understanding this correlation can help individuals make informed decisions about their health and exercise routines.
In Mrs. Anderson's health class, students are studying the correlation between exercise and heart rate. They collected data from twelve students who ran around the school track for varying durations. To analyze the relationship between exercise and heart rate, they calculated the correlation coefficient. A positive correlation coefficient would indicate that as the exercise duration increases, so does the heart rate. The higher the correlation coefficient, the stronger the relationship between the two variables. By understanding this relationship, students can learn the importance of exercise in maintaining good health and how it impacts their heart rate.

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Answer:

-4

Step-by-step explanation:

1st Step:

Set up our equation, so we get x + 69 + 25 + 90 = 180

Remember: All sides of a triangle add to 180.

2nd Step:

Now that we've got our equation: x + 184 = 180. Subtracting 184 from 180 gives us -4, which is our answer.

Key Points To Remember:

- The angles of a triangle always add up to 180.

- The little square at the bottom of the triangle means the angle is 90.

0.5  is the p-value for this Z -test .

What is the Z test's p-value?

For a lower tail test, the test statistic z is determined to be zero that means

P(z<0)

Then p-value is

p-value = P(z<0) = 0.5 (From z score table )

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The required percentage yield for the reaction when theoretical yield and actual yield are given is calculated to be 85.5 %.  

The maximum mass that can be generated when a particular reaction occurs is referred to as theoretical yield.

Theoretical yield is given as mt = 9.23 g

The actual amount of product recovered is given as ma = 7.89 g

We must comprehend that in order to calculate the reaction's percent yield, we must divide the total amount of product recovered by the utmost amount that can be recovered. If we multiply by 100%, we can represent this fraction as a percentage.

Percentage yield = ma/mt × 100 = 7.89/9.23 × 100 = 85.5 %

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Answer:

x=2

Step-by-step explanation:

The slope is undefined, AND there is no y-intercept. There is no y=mx+b that fits in this situation.

Answer: 1 3/4=7/4

2 1/2=5/2

Step-by-step explanation:

1 3/4=

1 + 3/4=

4/4 + 3/4=

(4+3)/4=7/4

2 1/2=

2+1/2=

4/2+1/2=5/2

Answer:

3/11

Step-by-step explanation:

Probability of first marble is blue is 6/11, then there only 5 blue marbles left, so probability of second marble is blue is 5/10 = 1/2. 6/11 * 1/2 = 3/11

Answer:

Step-by-step explanation:

23. 16 divided by 8 is 2, which means he spent 2 dollars on 1 wing. So 46 divided by 2 is 23.

For 46 dollars, Tyler can buy 23 chicken wings.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Tyler bought 8 chicken wings for $16.00.

To find the number of chicken wings, first find the cost of one chicken wing and to find number of chicken wings divide total cost by cost of one chicken wing.

So, the cost of each chicken wing is 16/8

= $2

So, the cost of each chicken wing is 2 dollars.

Tyler spent $46.00 on chicken wings.

Number of chicken wings = 46/2

= 23

So, the number of chicken wings are 23.

Therefore, Tyler can buy 23 chicken wings for $46.

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Answer:

\(\huge\boxed{\sf \sqrt{-10} i}\)

Step-by-step explanation:

\(\sf \sqrt{-10} \\\\\sqrt{10} * \sqrt{-1} \\\\We \ know \ that \ \sqrt{-1} = i\\\\= \sqrt{10} i\\\\= \sqrt{2*5 } i \\\\Since \ 2 \ and \ 5 \ are \ not \ perfect \ squares, they \ cannot \ be \ simplified\ further.\\\\= \sqrt{10} i\\\\\rule[225]{225}{2}\)

Hope this helped!

Step-by-step explanation:

we plug in 0 for x in the equation hence

A = 1

we plug in 2 for x in the equation to find B

hence B = 5

The partial derivative diffusivity equation for spherical flow is ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t, and for hemispherical flow, it is the same equation.

1. The partial derivative diffusivity equation for spherical flow is derived from the spherical coordinate system and applies to radial flow in a spherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

2. The partial derivative diffusivity equation for hemispherical flow is derived from the hemispherical coordinate system and applies to radial flow in a hemispherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

1. For the derivation of the partial derivative diffusivity equation for spherical flow, we consider a spherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the polar angle (φ). By assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in spherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

2. Similarly, for the derivation of the partial derivative diffusivity equation for hemispherical flow, we consider a hemispherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the elevation angle (ε). Again, assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in hemispherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

In both cases, the term ϕμC/k ∂p/∂t represents the source or sink term, where ϕ is the porosity, μ is the fluid viscosity, C is the compressibility, k is the permeability, and ∂p/∂t is the change in pressure over time.

These equations are commonly used in fluid mechanics and petroleum engineering to describe radial flow behavior in spherical and hemispherical geometries, respectively.

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The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.

To calculate the amount of money that Maura spends on each scarf the following is carried out.

The amount of money that she spends on the scarf material = $5.50

The percentage selling price of each scarf = 600% of $5.50

That is ;

= 600/100 × 5.50/1

= 3300/100

= $33.

Therefore, each price that is sold by Maura would probably cost a total of $33.

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