what the answer to (3a^2)^3

If Jane and Sarah share an amount of £63 and Jane receives "5/9" of  money, then the amount of money Sarah receives is £28..

The total amount that needs to be shared between Jane and Sarah is = £63,

We know that , Jane receives "5/9" of the total amount,

Which means , Jane receives = (5/9)×63 = £35,

The total-sum of money is = £63,

So, We can write,⇒ Total money = Jane + Sarah,

Substituting the values ,

We get,

⇒ 63 = 35 + Sarah,

⇒ Sarah = 63 - 35 = £28.

Therefore, Sarah's share of money is = £28.

Learn more about Share here

https://brainly.com/question/22794294

#SPJ4

To calculate the annual payment required to pay off a five-year, $25,000 loan at an interest rate of 3.50 percent EAR, we can use the formula for calculating the equal annual payment for an amortizing loan.

The formula is: A = (P * r) / (1 - (1 + r)^(-n))

Where: A is the annual payment,

P is the loan principal ($25,000 in this case),

r is the annual interest rate in decimal form (0.035),

n is the number of years (5 in this case).

Substituting the given values into the formula, we have:

A = (25,000 * 0.035) / (1 - (1 + 0.035)^(-5))

Simplifying the equation, we can calculate the annual payment:

A = 6,208.61

Therefore, the annual payment required to pay off the five-year, $25,000 loan at an interest rate of 3.50 percent EAR is $6,208.61.

Learn more about loan here: brainly.com/question/32625768

#SPJ11

Answer:

Step-by-step explanation:

5y + x = 25

Subtract x from both sides when x = 5

5y + x - x = 25 - x

5y = 20

5y/5 = 20/5

=4

Y=4

Answer: you're right, it is D.

Step-by-step explanation:

9514 1404 393

Answer:

  34.2 cm

Step-by-step explanation:

Hopefully, you understand that the length of 2 beads is 2 times the length of 1 bead. Extending this to 18 beads, we hope you understand that the length of 18 beads is 18 times the length of 1 bead.

The length of the 18-bead bracelet will be ...

  18×1.9 cm = 34.2 cm

The length of Marlene's bracelet is 34.2 cm.

_____

Maybe you've never been given as "step by step" for the problem solving process.

Step 1: Set aside your math anxiety and turn on your brain. (The number at the top of the answer is intended to help you do that.)

Step 2: Read the problem statement, interpreting it according to your experience in the real world and your knowledge of English words and sentence structure.

Step 3: Identify what the problem statement is telling you.

Step 4: Identify what the problem statement is asking you.

Step 5: Apply your knowledge of real-world relationships and math relationships to determine how the asked-for information is related to the given information.

Step 6: Use logical reasoning, and/or math symbols to write any down any relationships (equations or inequalities or diagrams) that need further manipulation to achieve the desired answer.

Step 7: Solve those equations, logic problems, geometry diagrams, whatever, using the math relationships you have learned.

Step 8: Relate the solution(s) you found to the question that is being asked. (This may require additional steps.) Note that this is what is being done in the bold statement at the end of the answer above.

Answer: 240 miles

Step-by-step explanation:

EXPLANATION:

We are given a circle K with radius KG. Note here that line KJ and line KG are both radii of the circle given.

Also we know that a line tangent to a circle at the point of intersecting with the radius forms a 90-degree angle with the radius.

We can now extract the following triangle from the diagram provided;

We now have a right triangle which we shall solve by use of the Pythagorean theorem;

Where we have c as the longest side (hypotenuse) and then a and b are the two other sides. Substituting into the equation above now gives us;

Subtract 36 from both sides;

Take the square root of both sides;

Rounded to the nearest tenth, the answer is;

ANSWER:

a). Dean would need to deposit approximately $225,158.34.

b). Dean will receive a total amount of $420,000 from his payout annuity over the 25-year period.

To calculate the initial deposit amount, we can use the formula for the present value of an annuity:

\(PV=\frac{P}{r}(1-\frac{1}{(1+r)^n})\)

Where:

PV = Present value (initial deposit)

P = Monthly payout amount

r = Monthly interest rate

n = Total number of monthly payments

Substituting the given values:

P = $1,400 (monthly payout)

r = 7.3% / 12 = 0.0060833 (monthly interest rate)

n = 25 years * 12 months/year = 300 months

Calculating the present value:

\(PV=\frac{1400}{0.006833}(1-\frac{1}{(1+0.006.833)^{300}})\)

PV ≈ $225,158.34

Therefore, Dean would need to deposit approximately $225,158.34 initially to receive $1,400 per month for 25 years with an interest rate of 7.3% compounded monthly.

To find the total amount Dean will receive from his payout annuity, we can multiply the monthly payout by the total number of payments:

Total amount = Monthly payout * Total number of payments

Total amount = $1,400 * 300

Total amount = $420,000

Therefore, Dean will receive a total amount of $420,000 from his payout annuity over the 25-year period.

Learn more about interest rate here:

https://brainly.com/question/22621039

#SPJ11

Complete Question:

Dean Gooch is planning for his retirement, so he is setting up a payout annunity with his bank. He wishes to recieve a payout of $1,400 per month for 25 years.

a). How much money must he deposits if has earns 7.3% interest compounded monthly?(Round your answer to the nearest cent.

b). Find the total amount that Dean will recieve from his payout annuity.

Answer:

25,132.74 miles

Step-by-step explanation:

Hello!

We are basically asked to find the circumference of the Earth's cross-section.

Circumference: \(C = 2\pi r\)

We can replace 2r with the diameter, because the diameter is 2 times the radius.

Multiply the Diameter by pi:

It is around 25,132.74 miles around.

y=x/2 is equation for a tangent to the graph of y=arcsin(x/2) at the origin.

In order to fing the equation of tangent of any graph we need 2 things

 i . A point on the graph

 ii . Slope a line on that point

Given y=\(sin^-^1(\frac{x}{2} )\)

put x=0

y = \(sin^-^1\) (0)

=> y =0

so the graph passes through point (0,0)

now we have to find slope of the graph

slope = \(y^'\) = \(\frac{d(y)}{dx}\)

=> \(\frac{1}{\sqrt{4-x^2} }\)

slope of line at point (0,0) is 1/2

so equation of line is y-0=1/2(x-0)

so the equation of tangent to the given graph is y=x/2

To know more about tangent line click on below link:

https://brainly.com/question/23265136#

#SPJ4

Answer:

You and your friend are 1.797 miles apart. Since east and west are opposite directions, we just add the distances.

Step-by-step explanation:

They are walking on opposite directions, so to see how far apart, we add how much each of you walked.

We have that:

You walk 1.237 miles west.

He walks 0.56 miles.

1.237 + 0.56 = 1.797.

You and your friend are 1.797 miles apart. Since east and west are opposite directions, we just add the distances.

The maximum radius of the picture frame is 19.1 cm

In order to determine the radius of the picture frame, the total length of the square painting has to be determined. The perimeter of the painting would be equal to the circumference of the circular picture frame. Then, the radius can be determined.

The first step is to determine the total length of the decorative strip. The length can be determined by calculating the perimeter of the square painting.

Perimeter of a square = 4 x length

4 x 30 =120 centimeters

The circumference of a circle = 2πr

Where:

r = circumference ÷ (2 x π)

= 120  ÷ (2 x 3.14) = 19.1 cm

To learn more about how to determine the circumference of a circle, please check: https://brainly.com/question/14351152

#SPJ3

Answer:

3(2x+4)+2(x-2)

6x+12+2x-4

6x+2x+12-4

8x+8

I am from grade 9 from which grade are you

Answer:

Cos(F) = 5/13  

Sin(F) =  12/13

Tan(F) =  12/5

Step-by-step explanation:

Soh Sine: Opposite(12) over Hypotenuse(13)

Cah Cosine: Adjacent(5) over Hypotenuse(13)

Toa  Tangent: Opposite(12) over Adjacent(5)

Answer:

Should be x/9

Step-by-step explanation:

The inverse of the function is F' ( x ) = x/9

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as F ( x )

Now , the value of F ( x ) is

F ( x ) = 9x  be equation (1)

Now , let the inverse of the function be represented as F' ( x )

where , the values of y are interchanged with x

So , the equation is

y = 9x

when x in interchanged ,

x = 9y

On solving for y , we get

Divide by 9 on both sides , we get

y = x / 9

So , the inverse of the function is F' ( x ) = x/9

Hence , the inverse of the function is F' ( x ) = x/9

To learn more about function rule click :

https://brainly.com/question/3760195

#SPJ7

The man is ignoring a 'folkway', an informal social rule or norm that suggests individuals should not join another person's table in a restaurant unless it is busy or they have asked for permission.

The unspoken rule that the man is ignoring is termed as a folkway. Folkways are informal rules and norms that, while not enshrined in law or official regulation, are typically followed in social settings to maintain order and decorum. In this case, the common understanding or folkway being broken is the norm of not joining someone else's table at a restaurant, unless the restaurant is busy or permission is asked.

https://brainly.com/question/10672077

#SPJ2

Answer:

45

Step-by-step explanation:

Total score = 35 + (-10) + (-15) + 20 + 5

Total score = 35 - 10 - 15 + 20 + 5

Total score = 60 - 25

Total score = 45

Answer:

3/8

Step-by-step explanation:

5/8 - 1/4

Here the LCM is 8 so we need to multiply 1/4 by 2/2 to get 8 as the denominator.

5/8 - 2/8

Since the denominator is same we can do

(5-2)/8

= 3/8

The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Learn more about scale factors click;

https://brainly.com/question/29464385

#SPJ1

The area of a right triangle can be found by multiplying half of the length of the base by the height.

The formula for the area of a right triangle is:

Area = (1/2) * base * height

It is important to note that the base and height must be perpendicular to each other, forming a right angle in the triangle. If the triangle is not a right triangle, then the area cannot be found using this formula.

To use this formula, simply measure the length of the base and height and plug these values into the formula. The result will be the area of the triangle, expressed in square units.

It is also worth noting that the height and base of a right triangle can be any two sides that form a right angle, not just the sides that are labeled as the base and height.

Learn more about area :

https://brainly.com/question/27683633

#SPJ4

The modulus of the complex number (-4 + 71i)(1 + li) is approximately 295.51.

To compute the modulus (or absolute value) of a complex number, we can use the formula:

|a + bi| = √(a² + b²)

Given the complex number (-4 + 71i) and (1 + li), we can multiply them together:

(-4 + 71i)(1 + li) = -4 - 4i + 71i - 284

Simplifying further:

-4 - 4i + 71i - 284 = -288 + 67i

Now, we can calculate the modulus:

| -288 + 67i | = √((-288)² + (67)²)

= √(82944 + 4489)

≈ √87433

≈ 295.51 (rounded to two decimal places)

Therefore, the modulus of the complex number (-4 + 71i)(1 + li) is approximately 295.51.

To know more about complex number, refer to the link below:

https://brainly.com/question/19554199#

#SPJ11

The linear function that relates y to x is y = (1/3)x + 3 using the described graph.

Use the two given points to find the slope of the line passing through them:

slope = (change in y) / (change in x)

= (4 - 1) / (3 - (-6))

= 3/9

= 1/3

Next, use the point-slope form of the equation of a line to write the equation:

y - y1 = m(x - x1) where (x1, y1) is any point on the line, and m is the slope found.

Using the point (0, 3):

y - 3 = (1/3)(x - 0)

Simplifying:

y = (1/3)x + 3

So the linear function that relates y to x is y = (1/3)x + 3.

Find out more on linear function here: https://brainly.com/question/15602982

#SPJ1

Complete question:

Use the graph to write a linear function that relates y to x, given the following points:

(-6, 1)

(-3, 2)

(0, 3)

(3, 4)

Answer and Step-by-step explanation:

For the triangles, all you have to do is subtract the two angles by 180 to find the missing angle.

2.

180 - 54 - 85 = 41

3.

180 - 36 - 59 = 85

4.

The square on the bottom represents a right angle, and right angles are always 90 degrees.

180 - 90 - 54 = 36

I hope this helps! (Sorry if more questions needed to be done, they're cut off so i don't know what they are asking)

#teamtrees #WAP (Water And Plant)

Given:

1 chocolate chip cookie recipe = 12 cup of chocolate chips per batch.

Alonzo wants to make 3 12 batches.

Lets's find the number of chocolate chips he will need.

Number of batches he wants to make is = 3 x 12 = 36 batches

SInce 1 chocolate chip cookie recipe calls for 12 cup of chocolate chips per batch, we have:

Answer:

E

Step-by-step explanation:

NO

The height of the oak tree in front of Igor's castle is approximately 57.27 ft. To find the height of the oak tree, we can use the principle of similar triangles.

The height of the tree can be determined by comparing the ratio of the height of Igor to the distance between Igor and the mirror with the ratio of the height of the tree to the distance between the mirror and the tree.

Let's represent the height of the oak tree as 'h'. According to the problem, Igor's eye height is 4.5 ft, and he is 5.5 ft away from the center of the mirror. The mirror is placed 70 ft from the tree.

Using the similar triangles concept, we can set up the following proportion:

(height of Igor) / (distance between Igor and mirror) = (height of tree) / (distance between mirror and tree)

Plugging in the given values, we have:

4.5 ft / 5.5 ft = h / 70 ft

Solving this proportion, we find:

(4.5 ft * 70 ft) / 5.5 ft = h.

For more such questions on Triangles:

https://brainly.com/question/2217700

#SPJ8