2r + 2 = 10r=?Hurry Please!!

Decrease in value = $21150

Current house value = $213850

What is Depreciation?

Depreciation is accounting method used to allocate the cost of a tangible or physical asset over its useful life.

To calculate the decrease in value,

i.e 9% of $235000 = $21150

So, to calculate the current house value

i.e $235000 - $21500

= $213850

Therefore, the current house price is $213850 and it decreases in $21500

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The general solution is y² - x² cos(y) = C, where C is a constant.

The given differential equation is a separable equation that can be written as:

y sin(y) dx = x(cos(y)-y sin(y))dy

Integrating both sides, we get:

∫y sin(y) dx = ∫x(cos(y)-y sin(y))dy

Simplifying and integrating, we get:

y(x cos(y) + sin(y)) = C

where C is the constant of integration. Thus, the general solution of the differential equation is given by:

y(x cos(y) + sin(y)) = C

where C is an arbitrary constant.

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The height of the base of the triangular prism is 3.7 m.

The area of both triangular bases is 11.1 m².

The lateral surface area is 66 m².

The total surface area of the prism is 77.1 m².

The height of the base of the triangular prism is calculated as follows;

Apply Pythagoras theorem as follows;

half of the base 3/2 = 1.5

h =  √ (4² - 1.5²)

h = 3.7 m

The area of both triangular bases is calculated as follows;

B = 3 m x 3.7 m

B = 11.1 m²

The lateral surface area is calculated as follows;

L.S.A = 6 m ( 4 m + 3m + 4 m )

L.S.A = 66 m²

The total surface area of the prism is calculated as follows;

T.S.A = 66 m² +  11.1 m²

T.S.A = 77.1 m²

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The required arc length of sector VW is 8\(\pi\).

Given that, in a circle U, radius  UV = 9 and  central angle of sector m∠VUW = 160°.

To find the arc length of sector VW, we can use the formula:

Arc length = (central angle / 360) x circumference of the circle.

First,  find the circumference of the circle by the  formula for the circumference of a circle is given by:

Circumference = 2 x \(\pi\) x radius.

Circumference = 2 x \(\pi\) x 9 = 18π.

Now, let's find the arc length of sector VW using the central angle of 160 degrees:

Arc length = (160/360) x 18π

Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).

Therefore, the arc length of sector VW is 8\(\pi\).

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Answer:

Yes it is correct.

2×3=6 (expression) Calculation of index/power:3×0=0.

Hence it is written as six to the power of zero (as you have written above in your QnA)

we need to add at least 12 terms to find the sum of the series to within 0.01.

To find the sum of the series [infinity] 1 [n(1 ln n)3] n = 1 within 0.01, we need to use the Cauchy condensation test.

First, we need to check the convergence of the series. We can use the integral test:

\(\int_1^{oo}{x(lynx)^3}dx\)
\(=\int u^3du\\\\= (\frac{1}{4}) u^4 + C\\\\= (\frac{1}{4}) [1 ln x]^4 + C\)
As x approaches infinity, the integral converges, and therefore, the series also converges.

Now, using the Cauchy condensation test, we have:

\(2^n [2^n (1 ln 2^n)3]\\\\= 2^{4n} [(n ln 2)3]\\\\= (8 ln 2)3 (n ln 2)3\\\\= (8 ln 2)^3 [\frac{1}{2}^{3n}}] [(n ln 2)^3]\\\\\)

The series [infinity]\((8 ln 2)^3 [\frac{1}{2}^{3n}] [(n ln 2)^3] n = 1\)converges, and its sum is equal to\(\frac{ [(8 ln 2)^3]}{[2^3 - 1]}.\)

We can use the error formula for alternating series to estimate how many terms we need to add to find the sum to within 0.01:

\(error \leq a_{(n+1)}\)

where \(a_n = (8 ln 2)^3 [{1/2}^{3n}] [(n ln 2)3]\)

Let's solve for n:

\(0.01 \leq a_{(n+1)}\\0.01 \leq (8 ln 2)^3 [1/2^{(3(n+1))}] [(n+1) ln 2]3\)

n ≥ 11.24

Therefore, we need to add at least 12 terms to find the sum of the series to within 0.01.

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The two points A and B that will be added to produce the complex number -3 + 4i are; -1 + 2i and -2 + 2i.

A complex number is defined as one that has both a real and an imaginary component, whereby both of them are preceded by the letter i which denotes the square root of -1.

Complex numbers are written in the general form; x + iy

Where;

x is the real part.

iy is the imaginary part.

From the graph attached, we can deduce that the two points that were added to obtain the result of -3 + 4i are;

A = -1 + 2i

B = -2 + 2i

Now, let us confirm the sum of the two points A & B;

A + B

= -1 + 2i + -2 + 2i

⇒ -3 + 4i

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We are given that Jane used 200 minutes and the cost was $75, and also she used 680 minutes and the cost was $195. To determine a function of the cost "C" as a function of the minutes "x" we will assume that the behavior of this function is that of a line. Therefore, the function must have the following form:

Where "m" is the slope and "b" the y-intercept. We will determine the slope using the following formula:

Where:

Are points in the line. The given points are:

Substituting in the formula for the slope we get:

Solving the operations we get:

Now we substitute in the formula for the line:

Now we determine the value if "b" by substituting the first point. This means that when C = 200, x = 75.

Solving the product:

Now we subtract 18.75 from both sides:

Therefore, the formula of the cost is:

Part B. We are asked to determine the cost is there is a consumption of 323 minutes. To do that we will substitute in the formula for "C" the value of x = 323.

Solving the operations we get:

Therefore, the cost is $262.

Answer:

Step-by-step explanation:

We will make use of algebra here.

First of all, we know that the monthly fee will be the same throughout all the months.
So, let's consider that cost to be the yet-to-find constant: \(a\).

A charge is accumulated for every minute on the call, so let's consider that minutely charge to be the constant: \(b\).

\(x\) is the number of minutes spent on the call.
So, the total charge after talking for \(x\) minutes would be:

\(b \times x\\=bx\)

The monthly cost is the sum of the monthly fee and the total charge.

So, if this is represented mathematically, we get:

\(C(x)= a+bx\)

A piece of information that we have is that, after calling for 200 minutes (which means \(x=200\)), the monthly cost ( \(C(x)\) ) would be $75.

Upon substituting these values in the equation we found above, we get:

\(C(x)=a+bx\\\\75=a+200b\)

Similarly, we have another piece of information, which states that calling for 680 minutes (\(x=680\)) produced a monthly cost of $195.

Upon substituting these values in the equation we found above, we get:

\(C(x)=a+bx\\\\195=a+680b\)

And, thus we have found a system of equations:

 \(a+200b=75\\a+680b=195\)

For the first equation, let's make \(a\) the subject:

\(a+200b=75\\\\a+200b-200b=75-200b\\\\a=75-200b\)

Substitute this expression for \(a\) into the second equation:

\(a+680b=195\\\\75-200b+680b=195\\\\75+480b=195\)

Find the value of \(b\) using this equation:

\(75+480b=195\\\\75+480b-75=195-75\\\\480b=120\\\\\frac{480b}{480}=\frac{120}{480}\\\\b=\frac{1}{4}\)

Insert the value for \(b\) into the expression for \(a\):

\(a=75-200b\\\\a=75-200(\frac{1}{4})\\\\a=75-50\\\\a=25\)

Since we have the values for the constants \(a\) and \(b\), we can complete the function/equation  \(C(x)\):

\(C(x)=a+bx\\\\C(x)=25+\frac{1}{4}x\)

So, the answer for (A) is:

\(C(x)=25+\frac{1}{4}x\)

For (B), we have to find the monthly bill/cost ( \(C(x)\) ) when 323 minutes have been spent on calling.

So, we just have to substitute \(x\) for 323, since \(x\) represents the number of minutes spent on calling:

\(C(x)=25+\frac{1}{4}x\\\\C(x)=25+\frac{1}{4}(323)\\\\C(x)=25+80.75\\\\C(x)=100.75\)

The answer for (B) is \(\$100.75\)

It's easier to use standard form.

Step-by-step explanation:

Even though it does not give as much information about a graph as slope-intercept form or point slope form, it does make it fairly easy to find the x and y-intercepts.

Answer:

+2

Step-by-step explanation:

Plus cancels minus

There are 4+ and 2 minus

+4 -2 = +2

The result is +2

Answer:

x = 18

Step-by-step explanation:

add 118 to both sides

12x = 216

divide by 12

x = 18

One half times the difference of twenty and a variable is two thirds.

Then the equation to the given situation is 1/2 (20-y) = 2/3.

Given that, one half times the difference of twenty and a variable is two thirds.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the variable be y.

Now, equation for the given situation is 1/2 (20-y) = 2/3

The equation to the given situation is 1/2 (20-y) = 2/3.

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Answer:

62.87in^2

Step-by-step explanation:

area=88in^2

semicircle area=25.13in^2

88-25.13=62.87

area=62.87in^2

Answer:

(5/2)² must be added to the equation to complete the square.

Step-by-step explanation:

The given equation is

x^2+5x+10=0

writing it in in square form

(x)² + 2(x) (5/2) + (5/2)²-(5/2)² + 10= 0

We multiply (5/2) to the mid term because we have to make 2x equal to 5x.

As the square formula tells that square of first element plus 2 into first element multiplied by second element plus square of second element.

Making 2x equal to 5x gives (5/2) as the second element.

Therefore add square of the second element but also subtract square of second element to make it equal to the given original equation.

Now we can solve it.

(x)² + 2(x) (5/2) + (5/2)²-(5/2)² + 10= 0

(x + 5/2)²-(5/2)² + 10= 0

(x + 5/2)²- 25/4+ 10= 0

(x + 5/2)²- 25*5 +10*5/4*5= 0

(x + 5/2)²-  125+50/20= 0

(x + 5/2)²-  175/20= 0

(x + 5/2)²=  175/20

Answer:

Jeremy Will have more than just $200 to spend on Christmas presents.

Explanation :

He has a total of $1200.

He spends a $120 for car insurance. (1)

He needs to spend $25 a week for lunch. He has to do this for 16 weeks so 25*16 = $400. (2)

He needs to spend $20 a week for entertainment. For 16 weeks that'll be 20*16 = $320 (3)

adding (1) (2) and (3)

We get Jeremy's total spending will be $840. Jeremy has $1200.

1200-840 = $360

So Jeremy will have $360 to spend on Christmas present.

Answer:

Step-by-step explanation:

D

Answer:

D

Step-by-step explanation:

D

Usually, six to twelve equally wide categories are a decent number to use when trying to understand how the data is distributed for drawing a histogram.

One common graphing tool is the histogram. It is employed to present interval-scaled summaries of discrete or continuous data. It is frequently used to conveniently depict the main characteristics of the data distribution.

A histogram is a graphic representation of data that uses bars of various heights. Each bar in a histogram divides numbers into ranges. More data falls inside that range, as shown by taller bars. The form and distribution of continuous sample data are shown in a histogram.

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Answer:

where is the question tho?

The range of lengths is given by the inequality:

4.1 in ≤ L ≤ 4.5 in

We know that the length of a manufactured ceramic bead is 4.3 centimeters, with an acceptable error of 0.2 inches.

This means that the length of the ceramic bead can be, at most, 0.2 inches away (lower or upper) from 4.3 in.

Then the smaller length allowed is:

4.3 in - 0.2 in = 4.1 in

The largest length allowed is:

4.3 in + 0.2in = 4.5in

Then the range of lengths is given by the inequality:

4.1 in ≤ L ≤ 4.5 in

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under the restrictions that c is negative to ensure strict concavity, the utility function u(w) = -(b - w)c displays increasing absolute risk aversion.

To ensure that u(w) is strictly increasing, we need the derivative of u(w) with respect to w to be positive for all values of w. Taking the derivative, we have du(w)/dw = -c. For u(w) to be strictly increasing, -c must be positive, which implies c must be negative.

To ensure that u(w) is strictly concave, we need the second derivative of u(w) with respect to w to be negative for all values of w. Taking the second derivative, we have d²u(w)/dw² = 0. Since the second derivative is constant and negative, u(w) is strictly concave.

Now, let's examine the concept of increasing absolute risk aversion. If a utility function u(w) exhibits increasing absolute risk aversion, it means that as wealth (w) increases, the individual becomes more risk-averse.

In the given utility function u(w) = -(b - w)c, when c is negative (as required for strict concavity), the absolute risk aversion increases as wealth (w) increases. This is because the negative sign implies that the utility function is concave, indicating that the individual becomes more risk-averse as wealth increases.

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The function f(x) = 1/x.

Determine the function for f(x+8).

It can be observed, in function the value of variable is replaced by increasing it by 8 units. So function shifts 8 units right as compare to previous function.

Thus graph of function f(x+8) shifts 8 units to the left of graph of function f(x).

Answer: Option C.

The ponderal index cannot be computed without the value of the constant "a" in the formula. Therefore, the ponderal index for a person who is 76 inches tall and weighs 192 pounds cannot be determined.

To compute the ponderal index, we need the formula and the value of the constant "a."

a) The formula for the ponderal index is given as I = a, where I represents the ponderal index and a is a constant. However, the value of the constant "a" is missing in the provided information. Without knowing the value of "a," we cannot compute the ponderal index for a person who is 76 inches tall and weighs 192 pounds.

b) Similarly, without knowing the value of the constant "a," we cannot determine the weight of a man who is 77 inches tall and has a ponderal index of 11.56.

To compute the ponderal index or determine the weight, we need the specific value of the constant "a" in the given formula.

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Answer:

85 cents

Step-by-step explanation:

i belive

The order of operations is a set of rules that dictate the sequence in which mathematical operations should be performed in a mathematical expression. An order of operations worksheet is a practice tool for students to test their understanding of the order of operations, and helps them develop their ability to solve mathematical expressions accurately and consistently.

Order of operations ensures that mathematical expressions are solved consistently and accurately. It typically consists of a series of mathematical expressions that the student must solve, following the order of operations. The order of operations is often remembered by the acronym "PEMDAS", which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). The main purpose of an order of operations worksheet is to help students develop their understanding of the order of operations, so they can solve mathematical expressions accurately and consistently.

It's important to note that the order of operations is a fundamental concept in mathematics and is used in many other areas of mathematics, including algebra and calculus. Therefore, it's crucial that students master the order of operations early on in their mathematical studies. An order of operations worksheet can be a valuable tool for helping students do just that.

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The Kutta-Joukowski theorem, which is represented by equation (3.140), was originally derived for the case of a lifting cylinder. However, it can also be applied to a two-dimensional body of arbitrary shape, as stated in section 3.16.

A more detailed explanation of the answer.
To make a physical argument for this generalization, we can draw a closed curve around the body.

The key is to draw the curve far enough away from the body such that the body appears as a very small speck in the middle of the domain enclosed by the closed curve.

By doing this, we are essentially treating the body as a point object at the center of the curve. Since the body is now a very small speck in comparison to the large domain, its specific shape becomes insignificant to the overall flow around it.

Therefore, the lifting force calculations derived from the Kutta-Joukowski theorem for the lifting cylinder should also apply to the two-dimensional body of arbitrary shape, as long as the body is small in comparison to the domain enclosed by the closed curve.

This physical argument allows us to accept that equation (3.140) can be applied in general to a two-dimensional body of arbitrary shape without requiring a mathematical proof.

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If the dimensions of trapezoid JKLM are multiplied by a scale factor of f to create trapezoid J'K'L'M' "The area of trapezoid J'K'L'M' is f times the area of trapezoid JKLM." Therefore, option A is correct.

When you multiply the dimensions of a trapezoid by a scale factor, the area of ​​the resulting trapezoid is equal to the square of the scale factor multiplied by the area of ​​the original trapezoid. In this case, the scaling factor is f, so the area of ​​trapezoid J'K'L'M' is f² times the area of ​​trapezoid JKLM.

When scaling a trapezoid, the base perimeter, angle, and length can change, depending on the specific value of the scale factor and the dimensions of the original trapezoid. 

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The correct options regarding the product of −1.24 and 4.25 will be:

A. between −5 and −6 - This is True.

B. between −3 and −4 - This is false.

C number less than −6 - This is false.

Product simply means the value that's gotten when we multiply the numbers that are given.

In this case, the value of -1.24 and 4.25 will be:

= -1.24 × 4.25

= -5.27

In this case, the number is between -5 and -6.

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