When Lucie bought her house, it cost £200,000. Each year the house increased in value by 1.05%. What was the value of her house after 7 years? Give your answer to 4 s.f.​

Answer:

186 inches

Step-by-step explanation:

8×6=48

5.5×16=88

10×5=50

48+88+50=186

Answer:

6 ornaments

Step-by-step explanation:

Cindy can decorate 84 ornaments in 14 hours

Hence the number of ornaments produced in one hour can be calculated as follows

84 ornaments= 14 hours

x= 1 hour

x= 84/14

= 6

Therefore 6 ornaments can be produced in one hour

The correct option that represents the antiderivative of the given integral ∫ \((x^{11}/(30(-x^{10}/3 - 5))^4) dx\) is option c)\((-x^{10}/3 - 5)^5/(5(-x^{10}/3 - 5)^5) + C.\)

To find the antiderivative of the given integral ∫ \((x^{11}/(30(-x^{10}/3 - 5))^4)\)dx, we can simplify the expression inside the integral first.

Let's rewrite the integral as ∫ \((x^{11}/(30(-x^{10}/3 - 5))^4)\) dx.

Now, let \(u = -x^{10}/3 - 5.\) Taking the derivative of u with respect to x, we get:

\(du/dx = -10/3 * x^{(10/3 - 1)}\)

\(= -10/3 * x^{(7/3)}\)

Next, we can rewrite the integral in terms of u:

∫ \((x^{11}/(30(-x^{10}/3 - 5))^4) dx\) = ∫ \((x^{11}/(30u)^4) dx.\)

Substituting u and du into the integral, we get:

∫ \((x^{11}/(30u)^4) dx\) = ∫ \((x^{11}/(30(-x^{10}/3 - 5))^4) dx\)

= -∫\((1/(30u)^4) du.\)

Now, we can simplify further:

-∫\((1/(30u)^4) du\)= -∫ \((1/(30(-x^{10}/3 - 5))^4) du\)

= -∫\((1/(30(-x^{10}/3 - 5))^4) (-10/3 * x^(7/3)) dx\)

= 10/3 ∫ (\(x^{(7/3)}/(30(-x^{10}/3 - 5))^4) dx.\)

Finally, we can simplify the expression inside the integral:

10/3 ∫\((x^{(7/3)}/(30(-x^{10}/3 - 5))^4) dx\) = \((10/3) * (-(x^{10}/3 + 5))^5/5 + C\)

\(= (-1/3) * (-(x^{10}/3 + 5))^5 + C.\)

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Complete question:

Solve the following integrals:

∫ x 11 30(− x 10 3 −5) 4 dx 5 1 (− x 10 3 −5) 5 +C

b)∫ 5 1 (− x 10 3 −5) 5 x+C (− x 10 3 −5) 4 x+C

d)∫ 4 1 (− x 10 3 −5) 4 +C

Three fifth of the vegetable in Alia garden are tomatoes so number of tomatoes are 3/5x in Alias garden.

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

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Answer:

7 :)

Step-by-step explanation:

Sharonda is plotting quadrilateral PQRS on the graph below She will plot the fourth and final vertex, S, at (9, 5), the length of side PS will be 11 units.

A quadrilateral is a four-sided polygon. The sum of the interior angles of a quadrilateral is always equal to 360 degrees. There are several types of quadrilaterals, including: Square, rectangle, parallelogram, rhombus, trapezoid, and kite.

Length of side PS can be calculated using the distance formula,

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Where,

P(-2, 5) = (\(x_1,y_1\)) (the coordinate of P is gotten from the graph).

Given that,

S(9, 5) = (\(x_2,y_2\))

PS = \(\sqrt{(9-(-2))^2+(5-5)^2}\)

PS = \(\sqrt{11^2+0^2}\)

PS = \(\sqrt{121}\)

PS = 11units.

Thus, the answer is 11 units.

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The sum of the ages of the family seven years ago is given as follows:

45 years.

The sum of the ages of the family is obtained applying the proportions in the context of the problem.

Each year, the age of each person increases by one, hence, considering a family of five, the yearly increase in the age of the family is given as follows:

5 x 1 = 5 years.

The two youngest are 6 and 8, meaning that seven years ago, the youngest was not yet born.

The ages of a family of five sum to 80, hence the sum seven years ago was given as follows:

80 - 5 x 7 = 45 years.

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The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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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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a. The minimum value of the average cost over the interval 1 ≤ x ≤ 10 is approximately 1966.7 (rounded to the nearest tenth).

b. The minimum value of the average cost over the interval 10 ≤ x ≤ 20 is 708,400.

a. 1 ≤ x ≤ 10For the given cost function C(x) = x³ + 32x + 250, we are to determine the minimum value of the average cost over the interval 1 ≤ x ≤ 10.

To find the minimum value of the average cost over the interval 1 ≤ x ≤ 10, we first calculate the total cost for the given interval:

Total cost = C(1) + C(2) + ... + C(10) = (1³ + 32(1) + 250) + (2³ + 32(2) + 250) + ... + (10³ + 32(10) + 250) = 17,700

Next, we calculate the average cost:Average cost = Total cost / (10 - 1) = 17,700 / 9 ≈ 1966.67

b. 10 ≤ x ≤ 20For the given cost function C(x) = x³ + 32x + 250, we are to determine the minimum value of the average cost over the interval 10 ≤ x ≤ 20.

To find the minimum value of the average cost over the interval 10 ≤ x ≤ 20, we first calculate the total cost for the given interval:

Total cost = C(10) + C(11) + ... + C(20) = (10³ + 32(10) + 250) + (11³ + 32(11) + 250) + ... + (20³ + 32(20) + 250) = 7,084,000

Next, we calculate the average cost:Average cost = Total cost / (20 - 10) = 7,084,000 / 10 = 708,400

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Answer:

non proportional

Step-by-step explanation:

Answer:

The answers to your questions are given below.

Step-by-step explanation:

Polynomial 1:

12x² + 23x – 2

Name by degree: Quadratic because the highest power in the equation is 2.

Polynomial 2:

7x + 2

Name by number of terms: Binomial because the equation has two terms

Polynomial 3:

12

Name by degree: Constant because it has no variable

Name by number of terms: Monomial because it has only one term.

Answer:

V=75.4 m^3

Step-by-step explanation:

V=pi*r^2*h

V=pi*2^2*6

V=4*6*pi

V=24*pi

V=75.39 or 75.4 m^3

Answer:

7 and - infinity

Step-by-step explanation:

The function is decreasing in nature. The function has a maxima when x is near 7 and as the function is decreasing, the function will approach -infinity as x approaches positive infinity.

Answer:

7\(\frac{1}{8}\)

Step-by-step explanation:

you need to put 4 in where it says z and then solve it

Answer:

Step-by-step explanation:

We are asked to solve a system of equations using the substitution method:

y = 2 x + 1

5 y - 6 x = 13

So we use the first equation as our substitution for "y", since we know that y is equal to "2 x + 1"

We use this expression in the second equation replacing "y":

5 (2x + 1) - 6 x = 13

and now we solve for the only unknown "x" that was left in the equation. We use distributive property to get rid of the parenthesis:

10 x + 5 - 6 x = 13

we combine the terms in x and subtract 5 from both sides:

4 x = 13 - 5

4 x = 8

x = 8/4

x = 2

Now we use this result in the first equation (our substitution equation):

y = 2 (2) + 1 = 5

therefore, x = 2 and y = 5 are the solutions to the system, also written in coordiate pair form as: (2, 5).

Answer:

your answer would be 400.

Step-by-step explanation:

if you multiply 2 by 200 you would get 400.



Answer:

Yeah, the answer 400 is correct.

Step-by-step explanation:

Easily. 2 times 2 is 4, with two extra zeros bcs of 200. 400, easy.

The probabilities are:

a) P(A or B) = 0.8

b) P(neither A nor B) = 0.2

c) P(A and not B) = 0.1

d) P(A | B) ≈ 0.571

e) P(A | not B) = 0.25.

a) To find the probability that either A or B will occur, we can use the formula P(A or B) = P(A) + P(B) - P(A and B). Substituting the given values, we have P(A or B) = 0.5 + 0.7 - 0.4 = 0.8.

b) To find the probability that neither A nor B will occur, we can use the complement rule. The complement of either A or B occurring is both A and B not occurring. So, P(neither A nor B) = 1 - P(A or B) = 1 - 0.8 = 0.2.

c) To find the probability that A will occur and B will not occur, we can use the formula P(A and not B) = P(A) - P(A and B). Substituting the given values, we have P(A and not B) = 0.5 - 0.4 = 0.1.

d) To find the probability that A will occur, given that B has occurred, we can use the conditional probability formula: P(A | B) = P(A and B) / P(B). Substituting the given values, we have P(A | B) = 0.4 / 0.7 ≈ 0.571.

e) To find the probability that A will occur, given that B has not occurred, we can use the conditional probability formula: P(A | not B) = P(A and not B) / P(not B). Since P(not B) = 1 - P(B), we have P(A | not B) = P(A and not B) / (1 - P(B)). Substituting the given values, we have P(A | not B) = 0.1 / (1 - 0.7) = 0.25.

Therefore, the probabilities are:

a) P(A or B) = 0.8

b) P(neither A nor B) = 0.2

c) P(A and not B) = 0.1

d) P(A | B) ≈ 0.571

e) P(A | not B) = 0.25.

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D, because both are mirroring angles

Answer:

D

Step-by-step explanation:

60 and 4x - 20 are vertically opposite angles and are congruent, then

60 = 4x - 20 ← is the equation to solve for x

Answer: 127

Step-by-step explanation:

The variable assigned to strgrade when intscore equals 90 would likely be 'A'.

When the variable intscore equals 90, the corresponding value assigned to the variable strgrade would typically be 'A'. This suggests that a score of 90 is associated with the highest grade achievable in the given context. The specific mapping between integer scores and letter grades may vary depending on the grading system or criteria in place. It is important to note that without further information about the grading scale or specific rules defined within the system, it is difficult to determine the exact value of strgrade assigned to intscore of 90.

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Step-by-step explanation:

This is the answer...

Answer:

read below

Step-by-step explanation:

the answer is 56

brainliest me:))))

The outer perimeter is 76.12 ft according to given question.

what is perimeter?

Perimeter is a term used in geometry to refer to the total distance around the outside of a two-dimensional shape. It is the sum of the lengths of all the sides of the shape. For example, in a rectangle, the perimeter is calculated by adding the length of all four sides. In a circle, the perimeter is called the circumference and is calculated as the distance around the edge of the circle.

The perimeter of a semicircle is the sum of the length of its straight edge and half the circumference of the circle.

In this case, the radius of the semicircle is given as 8 units, so the circumference of the corresponding full circle is 2πr = 2π(8) = 16π units.

Half the circumference of the circle is therefore 8π units.

The straight edge of the semicircle is simply the diameter of the circle, which is twice the radius, or 2(8) = 16 units.

So, the perimeter of the semicircle is the sum of the straight edge and half the circumference:

Perimeter = 16 + 8π

Using approximate value for pi (π = 3.14), the perimeter can be expressed as:

Perimeter ≈ 16 + 8(3.14) ≈ 40.12 units.

The perimeter of a rectangle is given by the sum of the lengths of its four sides.

In this case, the length of the rectangle is given as 10 units and its width is given as 8 units.

Therefore, the perimeter of the rectangle is:

Perimeter = 2(Length + Width) = 2(10 + 8) = 2(18) = 36 units.

So, the perimeter of the rectangle with length 10 units and width 8 units is 36 units.

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To prove the equation (1 + sin(−θ))(sec θ + tan θ) = cos(−θ), the trigonometric indentities used are :  sec θ = 1/cosθ, tanθ = sin θ/cosθ, sin(−θ)=sin(θ), cos(−θ)=cos(θ), cos² θ + sin² θ=1.

To prove the equation is true follow these steps:

Hence, the given equation is true. The trigonometric identities used in the proof are: sec θ = 1/cosθ, tanθ = sin θ/cosθ, sin(−θ)=sin(θ), cos(−θ)=cos(θ), cos² θ + sin² θ=1.

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