Calculate the present value. (Round your answer to two decimal places.). A=$35,000,r=15% compounded quarterly, t=10 years. Ineedarim? Viewing Saved Work Revert to Last Response

To solve the equation x^(3) = -13, we need to take the cube root of both sides of the equation. The cube root of x^(3) is x, and the cube root of -13 is -2.3513 (rounded to 4 decimal places). Therefore, the solution to the equation is x = -2.3513.

Here are the steps to solve the equation:

1. Start with the equation x^(3) = -13
2. Take the cube root of both sides of the equation: (x^(3))^(1/3) = (-13)^(1/3)
3. Simplify the left side of the equation: x = (-13)^(1/3)
4. Calculate the cube root of -13: x = -2.3513 (rounded to 4 decimal places)

So the solution to the equation is x = -2.3513.

Note: The original question had some typos and irrelevant parts, so I ignored those and focused on the main equation to solve.

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Given,

f(x) = -2x + 4

g(x) = -6x - 7

To find,

The value of f(x) - g(x)

Solution,

The value of f(x) - g(x) is 4x + 11.

We can simply solve the given mathematical problem by the following process.

We know that,

f(x) = -2x + 4

g(x) = -6x - 7

Now,

f(x) - g(x) = (-2x+4) - (-6x-7)

             = -2x - 4 + 6x + 7

             = 4x + 11

Thus, the value of f(x) - g(x) is 4x+11.

Step-by-step explanation:

in the part a take the f(x) as the normal equation but in the place of x put the equation of g , its as g is now x .

in part b its the exact same only that instead of the x in equation of g(x) the gave you a number to plug into the x

Raj profited Rs 30,750 from lending and borrowing money.

Raj gained from lending out Rs 65,000 for 3 years at 25% per annum and lost from borrowing Rs 60,000 for 2 years at 15% per annum.

To find out how much he gained or lost, we need to calculate the interest earned from lending and the interest paid from borrowing and then find the difference between them.

Interest earned from lending = Principal x Rate x Time
= Rs 65,000 x 25% x 3
= Rs 48,750

Interest paid from borrowing = Principal x Rate x Time
= Rs 60,000 x 15% x 2
= Rs 18,000

Difference between interest earned and interest paid = Rs 48,750 - Rs 18,000
= Rs 30,750

Therefore, answer is +Rs. 30,750.

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Answer:

Scalene triangle

Step-by-step explanation:

To determine the type of triangle, we need to compare the lengths of the sides to each other.

If all three sides have the same length, it's an equilateral triangle.

If two sides have the same length and the third is different, it's an isosceles triangle.

If all three sides have different lengths, it's a scalene triangle.

Using the lengths given, we see that all three sides have different lengths, so this is a scalene triangle.

Answer:

an obtuse triangle.

Step-by-step explanation:

To determine the type of triangle with sides of lengths 2, 6, and 7, we can use the triangle inequality theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, we can check whether this condition holds for the three sides of lengths 2, 6, and 7:

2 + 6 > 7 (True)

6 + 7 > 2 (True)

2 + 7 > 6 (True)

Since all three inequalities are true, the given lengths of 2, 6, and 7 form a valid triangle.

To determine the type of triangle, we can use the lengths of the sides and the Pythagorean theorem or trigonometric functions. For this triangle, we can use the Pythagorean theorem to find that the longest side (7) is opposite the largest angle, which is greater than 90 degrees. Therefore, this triangle is an obtuse triangle.

Answer:

12/36 ÷ 2/2 = 6/18

12/36 ÷ 3/3 = 4/12

12/36 ÷  4/4 = 3/9

All of these equations are equal to one another since they are all being divided by a whole, they are all just being expressed differently.

I hope this helped & Good Luck <3 !!!

Answer:

12/36 ÷ 1 = 0.0333333.......

Step-by-step explanation:

36/12 ÷ 1 =3

12 divided by 36 gives 0.333...... and the result divided by 1 gives the same answer. The same process applies to 36 divided by 12, which gives 3. The result which is three is divided by 1 which gives the same three.

NB: Any number divided by 1 is still the same number. Example: 1200/1 = 1200

Hope it helps.

Option D is correct, the total purchase price is $111.65.

percentage, a relative value indicating hundredth parts of any quantity.

Lets find the price of each item

Inflatable shark: $12.99

8 gallons of chlorine at $1.99 each: 8 x $1.99 = $15.92

2 gallons of algaecide at $7.99 each: 2 x $7.99 = $15.98

1 thermometer for $12.99: $12.99

2 sets of fins at $22.99 each: 2 x $22.99 = $45.98

Now add the costs of all the items:

$12.99 + $15.92 + $15.98 + $12.99 + $45.98 = $103.86

we multiply the total cost by the tax rate to find the sales tax.

$103.86 x 0.075 = $7.79

Finally, we add the sales tax to the total cost to get the final purchase price:

$103.86 + $7.79 = $111.65

Therefore, the total purchase price is $111.65.Option D is correct.

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25-9x² can be expressed in factor form as (5+3x)(5-3x)

An expression is combination of variables, numbers and operators.

The given expression is 25-9x²

We have to factor it completely

We have an identity that a²-b²=(a+b)(a-b)

25-9x² can be written as 5²-(3x)²

Now apply the identity

(5+3x)(5-3x)

Hence, 25-9x² can be expressed in factor form as (5+3x)(5-3x)

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The height of the cone is approximately 13.5 feet.

The volume of a cone is given by the formula V = (1/3)πr²h, where V is the volume, r is the radius, and h is the height.

In this problem, we are given the volume of the cone, which is 1959.36 cubic feet, and the radius, which is 12 feet. We need to find the height, h.

We can start by plugging in the given values into the formula for volume:

1959.36 = (1/3)π(12)²h

Simplifying, we get:

1959.36 = 144πh

To solve for h, we need to isolate it on one side of the equation. We can do this by dividing both sides by 144π:

h = 1959.36 / (144π)

Using a calculator to evaluate this expression, we get:

h ≈ 13.5

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The simplified form of the left side of the equation is $2 \tan x$.

The left side of the equation can be simplified using the quotient and reciprocal identities. The quotient identity states that $\tan x = \frac{\sin x}{\cos x}$ and the reciprocal identity states that $\sec x = \frac{1}{\cos x}$ and $\csc x = \frac{1}{\sin x}$. By substituting these identities into the equation, we can simplify the left side:

\[ \begin{aligned} \frac{\sec x+\tan x \csc x}{\csc x} & =\frac{\frac{1}{\cos x}+\frac{\sin x}{\cos x} \cdot \frac{1}{\sin x}}{\frac{1}{\sin x}} \\ & =\frac{\frac{1}{\cos x}+\frac{1}{\cos x}}{\frac{1}{\sin x}} \\ & =\frac{2 \cdot \frac{1}{\cos x}}{\frac{1}{\sin x}} \\ & =\frac{2}{\cos x} \cdot \frac{\sin x}{1} \\ & =\frac{2 \sin x}{\cos x} \\ & =2 \tan x \end{aligned} \]

Therefore, the simplified form of the left side of the equation is $2 \tan x$.

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To solve this problem, we'll start by finding the polar coordinates r and θ in terms of x1 and x2. We have r^2 = x1^2 + x2^2, tan(θ) = x2/x1.

Taking the derivative of x1 with respect to time t, we have: dx1/dt = dx2/dt - 2x1(dx1^2 + x2^2 - 1) - x1^2(2x1dx1 + 2x2dx2)

Similarly, the derivative of x2 with respect to t is: dx2/dt = -dx1/dt -2x2(dx1^2 +x2^2 -1) - x2^2(2x1dx1 + 2x2dx2) Using the chain rule, we can write: dr/dt = (x1dx1 + x2dx2)/r dθ/dt = (1/r^2)(x2dx1 - x1dx2)

Substituting dx1/dt and dx2/dt in these equations and simplifying, we get: dr/dt = -r(r^2 -1) dθ/dt = -1 Now, to prove that r=1 is a stable limit cycle, we can use the method of linearization.

This involves finding the Jacobian matrix at the equilibrium point r=1, θ=0: Jacobian = [[-3 -1], [-1 -3]] Taking the eigenvalues of this matrix, we get -4 and -2.

Since both eigenvalues are negative, we conclude that the equilibrium point corresponds to a stable limit cycle at r=1, θ=0. In summary, we have shown that the differential equations for dr/dt and dθ/dt are -r(r^2 -1) and -1, respectively. We have also demonstrated that r=1 is a stable limit cycle.

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ANOVA results

1. This study is a between-subjects design.
2. The independent variable is the type of medication given and the dependent variable is the participants' blood pressure levels.

The effect size (hp2) for the ANOVA results is a measure of the strength of the relationship between the independent variable (type of medication) and the dependent variable (blood pressure levels).

A larger effect size indicates a stronger relationship between the two variables. It is important to remember that SPSS reports a partial-eta squared, which has a slightly different interpretation than Cohen's d or correlations.

Partial-eta squared is the proportion of the total variance in the dependent variable that is explained by the independent variable, after controlling for other factors. A partial-eta squared of .01 is considered a small effect, .06 is considered a medium effect, and .14 is considered a large effect.

Hence,

1. This study is a between-subjects design because each participant is only assigned to one group and is only exposed to one level of the independent variable.
2. The independent variable is the type of medication given (high dose HyBlox, low dose HyBlox, or placebo) and the dependent variable is the participants' blood pressure levels.

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put y = 5x in equation 1 :

2x + 3 (5x) = 34

2x + 15x = 34

17x = 34

x = 2

Now put x = 2 in any of the two equation to get

y :

y = 5x

y = 5 × 2

y = 10

If $8000 is invested at 8% compounded continuously, the amount 8 years is $12,904.95.

To find out how long it will take $3,000 to grow to $20,000 if it is invested at 4% compounded monthly, we can use the formula A=P(1+r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years. Plugging in the given values, we get:

20,000=3,000(1+0.04/12)^(12t)

Dividing both sides by 3,000, we get:

6.66667=(1+0.04/12)^(12t)

Taking the natural logarithm of both sides, we get:

ln(6.66667)=12t*ln(1+0.04/12)

Solving for t, we get:

t=ln(6.66667)/(12*ln(1+0.04/12))

t=41.2 years

So it will take approximately 41.2 years for $3,000 to grow to $20,000 if it is invested at 4% compounded monthly.

To find out the amount of $8,000 invested at 8% compounded continuously for 8 years, we can use the formula A=Pe^(rt), where A is the final amount, P is the principal amount, r is the annual interest rate, and t is the number of years. Plugging in the given values, we get:


A=8,000e^⁰ ⁶⁴

A=12,904.95

So the amount of $8,000 invested at 8% compounded continuously for 8 years is $12,904.95.

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The constant of variation k for this relationship is 4.

To find the constant of variation k for the given relationship, we can use the formula for direct and inverse variation:

k = (r * y^2) / √n

Where r is the variable that varies directly as the square root of n, and inversely as the square of y. To find the value of k, we can plug in the values of r, y, and n into the equation and solve for k.

For example, if r = 4, y = 2, and n = 16, we can plug these values into the equation to find k:

k = (4 * 2^2) / √16
k = (4 * 4) / 4
k = 16 / 4
k = 4

Therefore, the constant of variation k for this relationship is 4.

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The coordinates of v with respect to the basis β are (cos(1), sin(1)).

The coordinates of a vector with respect to a given basis can be found by expressing the vector as a linear combination of the basis vectors and finding the coefficients of the linear combination. These coefficients are the coordinates of the vector with respect to the given basis.

(i) In the first case, we have V=R2, β={(1,1),(1,−1)}, and v=(1,2). We can express v as a linear combination of the basis vectors as follows:
v = a(1,1) + b(1,-1) = (a+b, a-b)
Equating the coordinates, we get:
a+b = 1
a-b = 2
Solving for a and b, we get a=3/2 and b=-1/2. Therefore, the coordinates of v with respect to the basis β are (3/2, -1/2).

(ii) In the second case, we have V=P2(R), β={1,1+x,1+x+x2}, and v=(x+1)2. We can express v as a linear combination of the basis vectors as follows:
v = a(1) + b(1+x) + c(1+x+x2) = a + (b+c)x + cx2
Equating the coefficients, we get:
a = 1
b+c = 2
c = 1
Solving for a, b, and c, we get a=1, b=1, and c=1. Therefore, the coordinates of v with respect to the basis β are (1, 1, 1).

(iii) In the third case, we have V=span{sin(x),cos(x)}, β={sin(x),cos(x)}, and v=sin(x+1). Using the trigonometric identity sin(x+1) = sin(x)cos(1) + cos(x)sin(1), we can express v as a linear combination of the basis vectors as follows:
v = a(sin(x)) + b(cos(x)) = (a)sin(x) + (b)cos(x)
Equating the coefficients, we get:
a = cos(1)
b = sin(1)
Therefore, the coordinates of v with respect to the basis β are (cos(1), sin(1)).

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Dalton flies the plane at a speed of 251 mph when there is no wind.

To solve this proble,m we can use the formula for distance, which is distance = speed × time. We can also use the fact that the speed of the plane with the wind is the sum of the speed of the plane without the wind and the wind speed, and the speed of the plane against the wind is the difference between the speed of the plane without the wind and the wind speed.

Let x be the speed of the plane without the wind, and t be the time it takes for the return trip with the wind. Then we can write the following equations:

4661 = (x - 10) × (t + 20)  (1) for the trip against the wind
4661 = (x + 10) × t  (2) for the return trip with the wind

Multiplying equation (2) by (t + 20) and subtracting equation (1) from it, we get:

4661t + 93220 = 4661t + 20x^2 + 200x - 200x - 200
20x^2 = 93220
x^2 = 4661
x = 251

Therefore, Dalton flies the plane at a speed of 251 mph when there is no wind.

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Since it only resolves one of the two inequalities, (1, -5) cannot be a solution to the given system of inequalities.

How are coordinates determined?

We must check that the point (1, -5) fulfils both inequalities in order to determine if it is a solution to the system of inequalities.

y > -6x - 11 is the first inequality. Inputting x = 1 and y = -5 results in:

[tex]-5 > -6(1) (1) - 11 \s-5 > -6 - 11 \s-5 > -17[/tex]

The first inequality is satisfied at the position (1, -5) since -5 is greater than -17.

y - x - 5 is the second inequality. Inputting x = 1 and y = -5 results in:

[tex]-5 ≥ -(1) (1) - 5 \s-5 ≥ -6[/tex]

The point (1, -5) does not satisfy the second inequality since -5 is not greater than -6.

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Answer:

Bears: 12

Tigers: 5

Step-by-step explanation:

9:15

the common factor of 9 and 15 is 3. so we divide both sides by 3.

3:5

12:20

The sample space includes the following outcomes: HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT.

a. A simple event is an event that has only one possible outcome. An example of a simple event is getting a head on the third coin. This is represented by option C: "Getting a head on the third coin and a head on the fourth coin."
b. A joint event is an event that involves two or more simple events happening at the same time. An example of a joint event is getting a head on the first coin and a tail on the third coin. This is represented by option C: "Getting a head on the first coin and a tail on the third coin."
c. The complement of getting a tail on the fourth coin is getting a head on the fourth coin. This is represented by option A: "Getting a head on the fourth coin."
d. The sample space consists of all possible outcomes of the four flipped coins. This is represented by option D: "Getting a head or a tail on any of the four coins." The sample space includes the following outcomes: HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT.

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The solutions for A if 5A−|[1 0], [2 3]|=3A−|[5 2] ,[ 6 1]|  is 5  and for equation 3A−[2],[1]=5A−2[3],[0] is 2.

To find A in the given equations, we need to use the properties of matrices and solve for A.

For equation a:
5A−|[1 0], [2 3]|=3A−|[5 2], [6 1]|

First, we need to find the determinants of the matrices. The determinant of a 2x2 matrix is found by multiplying the elements on the main diagonal and subtracting the product of the elements on the other diagonal.

So, |[1 0], [2 3]| = (1*3) - (0*2) = 3
And, |[5 2], [6 1]| = (5*1) - (2*6) = -7

Now we can substitute these values back into the equation and solve for A.

5A - 3 = 3A - (-7)
5A - 3 = 3A + 7
2A = 10
A = 5

For equation b:
3A−[2],[1]=5A−2[3],[0]

First, we need to find the determinant of the matrix [2],[1]. The determinant of a 1x1 matrix is simply the value of the single element.

So, |[2],[1]| = 2

Now we can substitute this value back into the equation and solve for A.

3A - 2 = 5A - 2(3)
3A - 2 = 5A - 6
2A = 4
A = 2

Therefore, the solutions for A are 5 for equation a and for equation b the value A is 2

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There are 72 pupils in bertha if the ratio of 1 Bertha to form 1 Florence is 12:20 if there are 120 pupils in Florence.

The problem can be solved by using the concept of ratios and inverse ratios. It involves setting up a proportion based on the given ratio and using algebra to solve for the unknown quantity.

If the ratio of Bertha to Florence is 12:20, then the ratio of Florence to Bertha is 20:12 (inverse ratio).

Let the number of pupils in Bertha be x. Then, the number of pupils in Florence would be:

20/12 * x = 120

Simplifying:

x = 120 * 12/20

x = 72

Therefore, there are 72 pupils in Bertha.

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The solution of the inequality |x+3| < 2 is -5 < x < -1.

And the graph is given in the image below.

The correct option is C.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

To solve the inequality |x+3| < 2, we need to consider two cases:

Case 1: x+3 ≥ 0

In this case, the inequality simplifies to x+3 < 2, which gives us x < -1.

Case 2: x+3 < 0

In this case, the inequality simplifies to -(x+3) < 2, which gives us -x-3 < 2, or -x < 5, or x > -5.

Combining the results from both cases, we get the solution:

-5 < x < -1

To graph the solution, we draw an open circle at x=-3

(since the absolute value is less than 2, not less than or equal to), and shade the region between -5 and -1.

Therefore, the solution is -5 < x < -1.

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Answer:

2 hours

Step-by-step explanation:

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The equation -7t-6=-7t has no solution.

Because when we try to isolate the variable t on one side of the equation, we end up with an equation that is not true.

Here's how we can do this:
-7t-6=-7t

First, we can add 7t to both sides of the equation:
-6=0

This equation is not true, so there are no values of t that will make this equation true. Therefore, the equation has no solution.

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The equation for the description for given number is x + 16 = 124

"A number x increases by 16" means that we start with a certain number, which we don't know yet, and then add 16 to it. So, we can represent this as:

x + 16

The next part of the description tells us that the result of this addition is 124. So, we can set up an equation by equating this expression to 124, like this:

x + 16 = 124

This is the equation that represents the given description. To find the value of x, we can solve for it by subtracting 16 from both sides of the equation:

x = 124 - 16

x = 108

So, the value of x that satisfies the given description is 108.

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Different triangles with the same areas include:

Right angle triangle: base = 6, height = 4

Acute triangle: base = 8, height = 3

Obtuse triangle: base = 16, height = 1.5

To create a right angle triangle, an acute triangle, and an obtuse triangle that all have the same area, we can use the following dimensions:

Right triangle: base = 6, height = 4

Acute triangle: base = 8, height = 3

Obtuse triangle: base = 16, height = 1.5

We can calculate the area of each triangle using the formula A = 1/2 (base x height):

Right triangle: A = 1/2 (6 x 4) = 12

Acute triangle: A = 1/2 (8 x 3) = 12

Obtuse triangle: A = 1/2 (16 x 1.5) = 12

Therefore, we can see that all three triangles have the same area, which is 12 square units. We know this because they all have the same base-to-height ratios, which means they have the same "steepness" or "slope". This means that the area of each triangle is proportional to its base and height, and since they all have the same ratio of base to height, they will all have the same area.

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Answer:

Step-by-step explanation:

so first you add 3 by 4 and see if it is greater than six and then that's your answer.

The two alleles that have the highest probability of being inherited together are A. G and k.

Alleles that are physically close to each other on a chromosome have a higher probability of being inherited together, a phenomenon known as linkage. The closer two alleles are to each other on a chromosome, the less likely it is that they will be separated by a recombination event during meiosis.

The degree of linkage between two alleles is determined by their relative physical distance on the chromosome. The closer two alleles are, the higher the probability that they will be inherited together.

G and k are the closest alleles to each other on the genetic map and so have a higher probability of being inherited together.

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The mark down rate for the dress originally tagged at Php 5,220 but now being sold at Php 4,900 is 6.13%.

To calculate the mark down rate, use the formula:

Mark down rate = (Original Price - Discounted Price) / Original Price

Plugging in the numbers:

Mark down rate = (5,220 - 4,900) / 5,220 = 0.0613

To convert to a percentage, multiply 0.062 by 100 and you will get 6.13%.

Therefore, the mark down rate for the dress is 6.13%.

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