How you Can find the area of a composite figure?​

You should deposit approximately $340.84 monthly to reach $293,000 in 28 years at a 4.4% annual interest rate compounded monthly.

To calculate the monthly deposit required for an investment plan paying 4.4% interest compounded monthly to reach $293,000 in 28 years, we use the future value of an annuity formula:

FV = P * (((1 + r)^n - 1) / r)

Here, FV is the future value, P is the monthly deposit, r is the monthly interest rate, and n is the number of payments. First, convert the annual interest rate (4.4%) to a monthly rate by dividing by 12, which gives 0.0367 (4.4%/12) or 0.00367 as a decimal. The number of payments (n) is 28 years * 12 months/year = 336.

We want to find P, so rearrange the formula:

P = FV / (((1 + r)^n - 1) / r)

Substitute the values:

P = $293,000 / (((1 + 0.00367)^336 - 1) / 0.00367)

P ≈ $340.84

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Answer:

it's 2!  ;)

Step-by-step explanation:

hope you are having a spectacular day and thankss!! - jada

Answer:

2

Explanation:

❤+❤=2

Hope this helps :)

Answer:

Hypotenuse= 180.7 cm

Step-by-step explanation:

Using Pythagoras' theorem:

a^2+b^2=c^2                     (let c= Hypotenuse "H")

(136)^2 + (119)^2 =  H^2

18496+14161 =H^2

H^2= 32657

Taking square root on both sides

\(\sqrt{H}\)= \(\sqrt{32657}\)

H=180.7

Given set: x greater than or equal to -1

The interval includes -1 and all the values greater than -1, to graph it put a full point in the -1 and draw an arrow to the the right of -1:

Answer:

the answer is -2 place x value in equation it gonna be y = 2-4 = -2

The solutions to the equation 4x^2 - 20x + 25 = 10 are x = 5/2 and x = 3/2.

The equation 4x^2 - 20x + 25 = 10 can be rewritten as 4x^2 - 20x + 15 = 0. To find the solutions to this equation, we can factor it or use the quadratic formula.

The equation factors as (2x - 5)(2x - 3) = 0. Setting each factor equal to zero, we get 2x - 5 = 0 and 2x - 3 = 0. Solving these equations, we find x = 5/2 and x = 3/2.

Using the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by x = (-b ± sqrt(b^2 - 4ac)) / 2a, we can determine the solutions.

In this case, a = 4, b = -20, and c = 15. Substituting these values into the quadratic formula, we get x = (-(-20) ± sqrt((-20)^2 - 4 * 4 * 15)) / (2 * 4), which simplifies to x = (20 ± sqrt(400 - 240)) / 8.

Simplifying further, we have x = (20 ± sqrt(160)) / 8, which becomes x = (20 ± 4sqrt(10)) / 8. Finally, simplifying again, we obtain x = 5/2 ± sqrt(10)/2, which gives us the same solutions as before: x = 5/2 and x = 3/2.

Therefore, the solutions to the equation 4x^2 - 20x + 25 = 10 are x = 5/2 and x = 3/2.

To find the solutions to the equation, we can either factor it or use the quadratic formula. In this case, factoring and using the quadratic formula both yield the same solutions: x = 5/2 and x = 3/2. These values of x satisfy the equation 4x^2 - 20x + 25 = 10 when substituted back into the equation.

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Answer: B

Step-by-step explanation:

Triangle ABC, we are given the measure of angle A as 30 degrees, the length of side AC as 10.7 cm, and the length of side BC as 6.5 cm.

To work out the value of sin(ABC), we can use the trigonometric ratio of the sine function.

The sine function relates the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right triangle.

In the given information, we don't have a right triangle or the length of the side opposite angle ABC.

Without this information, it is not possible to calculate the value of sin(ABC) accurately.

If you have any other information regarding the triangle, such as the length of side AB or the measure of angle B or C, please provide it so that I can assist you further in calculating sin(ABC).

We may utilise the sine function's trigonometric ratio to get the value of sin(ABC).

The sine function connects the ratio of the hypotenuse length of a right triangle to the length of the side opposite an angle.

A right triangle or the length of the side opposite angle ABC are absent from the provided information.

The value of sin(ABC) cannot be reliably calculated without these information.

Please share any more information you may have about the triangle, such as the length of side AB or the size of angles B or C, so I can help you with the calculation of sin(ABC).

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Answer:

P = 2(4+w)

P = 8+2w

P-8 = 2w

\( \frac{p - 8}{2w} = \frac{2w}{2} \)

\( \frac{p - 8}{2} = w \)

Answer:

b= -8

Step-by-step explanation:

The diameter of Earth in kilometers is approximately 12,682 km, making option D the correct answer.

To convert the diameter of Earth from miles to kilometers, we can multiply the given diameter in miles by the conversion factor of 1.6 kilometers per mile.

Given that Earth's diameter is 7,926 miles, we can calculate its diameter in kilometers as follows:

Diameter in kilometers = Diameter in miles × Conversion factor

Diameter in kilometers = 7,926 miles × 1.6 kilometers/mile

Diameter in kilometers = 12,681.6 kilometers

Rounding this value to the nearest whole number, we get 12,682 kilometers.

Therefore, the correct answer is option D: 12,682 km.

Option A: 49,553 km is not the correct answer. It is not consistent with the given diameter of Earth.

Option B: 120,586 km is also not the correct answer. It is not consistent with the given diameter of Earth.

Option C: 1,392,650 km is significantly larger than the actual diameter of Earth and is not a plausible value.

In conclusion, the diameter of Earth in kilometers is approximately 12,682 km, making option D the correct answer.

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Answer:

I hope it will help you...

Answer:

0.119 ....................

Answer:

I'm I'm no good at math, but I do know that is some expensive candy

Answer:

25.38 lbs. of candy.

Step-by-step explanation:

Add them all. 6.5 + 8.34 + 4.9 + 5.64 = 25.38 lbs. of candy.

\(\fbox{20.25}\)

To find her miles per hour, we need to divide the total miles by the total hours to find how many miles she drives in each hour.

\(162\div8\)

\(=20.25\)

Given:

Ann, Ben , Cheryl share money ratio 3:7:10 .

Ben get £660 more than Ann.

To find:

The total amount they shared.

Solution:

Let Ann, Ben , Cheryl share money 3x, 7x, 10x respectively.

Ben get £660 more than Ann. So, difference of their share must be £660.

\(7x-3x=660\)

\(4x=660\)

\(x=\dfrac{660}{4}\)

\(x=165\)

Now, the total amount they shared is:

\(Total=3x+7x+10x\)

\(Total=20x\)

\(Total=20(165)\)

\(Total=3300\)

Therefore, the total amount they shared is £3300.

Answer:

Make me Brainliest

Step-by-step explanation:

=5*65-7

=325-7

=318

Using monthly payment formula, the Smith Family's total monthly payment is approximately $2,360.99.

To calculate the total monthly payment for the Smith Family, we need to consider the mortgage payment, insurance, property tax, and HOA fees.

1. Mortgage Payment:

The loan amount is the house price minus the down payment:

$350,000 - $70,000 = $280,000.

To calculate the monthly mortgage payment, we need to determine the interest rate and loan term. Since you mentioned it's a 15-year loan, we'll assume an interest rate of 4% (which can vary depending on market conditions and the borrower's credit).

We can use a mortgage calculator formula to calculate the monthly payment:

M = P [i(1 + i)ⁿ] / [(1 + i)ⁿ⁻¹]

Where:

M = Monthly mortgage payment

P = Loan amount

i = Monthly interest rate

n = Number of months

The monthly interest rate is the annual interest rate divided by 12, and the loan term is 15 years, which is 180 months.

i = 4% / 12 = 0.00333 (monthly interest rate)

n = 180 (loan term in months)

Plugging in the values into the formula:

M = $280,000 [0.00333(1 + 0.00333)¹⁸⁰] / [(1 + 0.00333)¹⁸⁰⁻¹]

Using a calculator, the monthly mortgage payment comes out to be approximately $2,014.99.

2. Insurance:

The monthly insurance payment is given as $66.

3. Property Tax:

The monthly property tax payment is given as $230.

4. HOA Fees:

The HOA fees are stated as $600 per year. To convert this to a monthly payment, we divide by 12 (months in a year): $600 / 12 = $50 per month.

Now, let's add up all these expenses:

Mortgage payment: $2,014.99

Insurance: $66

Property tax: $230

HOA fees: $50

Total monthly payment = Mortgage payment + Insurance + Property tax + HOA fees

Total monthly payment = $2,014.99 + $66 + $230 + $50

Total monthly payment = $2,360.99

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Answer:

Yes, Frank does have enough, he has 250 metal and only has 228 surface area.

Step-by-step explanation:

You take all the triangles (4) and multipy 4 x 6 (24) then divide that by 2 (12) so now you know all the triangles are equal to 12. Then the squares, you multiply 6 x 6 (36) now you know all the squres are equal to 36 and then you add 12 + 12+12+12+36+36+36+36+36 and then you get 228.

Answer:4

Step-by-step explanation:

The percent of powdered sugar in mixture B is 25.82%.

To solve this problem, we can use a table to organize the information and find the percent of powdered sugar in mixture B.

MixturePoundsPercent Powdered SugarPounds of Powdered SugarA520%1B11x%0.11xTotal1624%3.84

From the table, we can create an equation to find the percent of powdered sugar in mixture B:

1 + 0.11x = 3.84

Solving for x:

0.11x = 2.84

x = 25.82%

Therefore, the percent of powdered sugar in mixture B is 25.82%.

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10-6x=4+5x

-3 from both sides

7-6x=1+5x

Step-by-step explanation:

if you want the answer to the actual thing then here:

10-6x=4+5x

+6x

10=4+11x

-4

6=11x

÷11

0.54≈ x

(I rounded it to 2dp which is why it has the squiggly equal sign to show that it is not quite equal but is an estimation of some kind

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.

Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.

Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

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Answer:

The missing x = 0.675 m

Step-by-step explanation:

In similar triangles, the corresponding sides are proportion (means their ratios are equal)

In the given figure

∵ The two triangles are similar

∴ Their corresponding sides are proportion

∵ The sides of lengths 1.8 m and x are corresponding sides

∵ The sides of lengths 8.0 m and 3.0 are corresponding sides

∴ \(\frac{1.8}{x}\) = \(\frac{8.0}{3.0}\)

→ By using cross multiplication

∴ x × 8.0 = 1.8 × 3.0

∴ 8x = 5.4

→ Divide both sides by 8

∵ \(\frac{8x}{8}\) = \(\frac{5.4}{8}\)

∴ x = 0.675

→ No rounding because there is no digit after the thousandth digit

∴ x = 0.675 m

Answer:

Step-by-step explanation:

Multiply the three dimensions

12 x 6 x 8 = 576 cm^3

The area of the shaded region for the circle is derived to be equal to 73.4 square centimeters.

The shaded region is the segment area in the circle, so it is derived by subtracting the area of the segment from the area of the circle as follows:

area of the circle = 22/7 × 5 cm × 5 cm

area of the circle = 78.57 cm²

area of sector = 80/360 × 22/7 × 5 cm × 5 cm

area of sector = 17.46 cm²

area of triangle = 5 cm × sin40° × 5 cm × cos40°

area of triangle = 12.31 cm²

area of the segment = 17.46 cm² - 12.31 cm²

area of the segment = 5.15 cm²

area of the shaded region = 78.57 cm² - 5.15 cm²

area of the shaded region = 73.42 cm²

Therefore, the area of the shaded region for the circle is derived to be equal to 73.4 square centimeters.

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Answer:

  27 miles

Step-by-step explanation:

The law of cosines can be used to find the distance between the boats. In 1 hour, one has traveled 28 miles, and the other has traveled 26 miles. The angle between their directions of travel is ...

  180° -50° -70° = 60°

Then the distance c can be found from ...

  c^2 = a^2 +b^2 -2ab·cos(C)

  c^2 = 28^2 +26^2 -2·28·26·cos(60°) = 732

  c = √732 ≈ 27.055

The boats are 27 miles apart after 1 hour.

(0,-4) , (0,-1) , (4,-1) are the ordered pairs are solutions to the inequality

y − 3x < 10 which is option (A) , (D) and (E) .

We have to check whether the given options are the solutions to the inequality y− 3x < 10 .    ...(1)

(A) If (0,-4) is the solution of given inequality y− 3x < 10 then it must satisfy the equation .

Putting x = 0 and y = -4 in equation (1) , we get

\(-4-3(0) < 10\\-4 < 10\)

As the above condition is true so (0,-4) is the solution of given inequality

(B)  If (-6,0) is the solution of given inequality y− 3x < 10 then it must satisfy the equation .

Putting x = -6 and y = 0 in equation (1) , we get

\(0-3(-6) < 10\\18 < 10\)

As the above condition is not true so (-6,0) is not the solution of given inequality .

(C)  If (-1,7) is the solution of given inequality y− 3x < 10 then it must satisfy the equation .

Putting x = -1 and y = 7 in equation (1) , we get

\(7-3(-1) < 10\\7+3 < 10\\10 < 10\)

As the above condition is not true so (-1,7) is the not the solution of given inequality .

(D)  If (0,-1) is the solution of given inequality y− 3x < 10 then it must satisfy the equation .

Putting x = 0 and y = -1 in equation (1) , we get

\(-1-3(0) < 10\\-1 < 10\)

As the above condition is true so (0,-1) is the solution of given inequality.

(E)  If (4,-1) is the solution of given inequality y− 3x < 10 then it must satisfy the equation .

Putting x = 4 and y = -1 in equation (1) , we get

\(-1-3(4) < 10\\-1-12 < 10\\-13 < 10\)

As the above condition is true so (4,-1) is the solution of given inequality.

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Answer: K

Step-by-step explanation:

I. Correct. When t=0, h=c, so if you alter the value of c, the h-intercept changes.

II. Correct, the maximum value of \(-at^2 +bt\) will stay the same, but you are changing c, which is the amount you are always adding to it, meaning the maximum will change.

III. Correct. If you plug into the quadratic formula setting h=0, it is easy to see changing the value of c will change the solutions.

The correct statement regarding the quadratic function is:

K. I, II and III.

A quadratic function is given according to the following rule:

\(y = ax^2 + bx + c\)

If a > 0, it has a maximum value, and if a < 0, it has a minimum value.

The extreme value is \((x_v,y_v)\), in which:

The solutions are:

In this problem, we have a function h(t). Changing the coefficient c, the h-intercept h(0) changes. Looking at the formulas in the bullet point, the value of \(\Delta\) changes, meaning that both the maximum value \(y_v\) and the t-intercepts \(t_1\) and \(t_2\) will change, so option K is correct.

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