1) Mike invests $2,316 in a retirement
account with a fixed annual interest rate of
3% compounded continuously. What will
the account balance be after 17 years?

y=mx+c

y=-1/2x+8

y=-x/2+8

x=-2y+16

Answer:

16.

Step-by-step explanation:

n - 7 = 9

Add 7 to both sides

n = 9 + 7 = 16.

Answer:

16

Step-by-step explanation:

Given

n - 7 = 9 ( add 7 to both sides )

n = 16

Answer:

15) 30°

16) 49.5°

Step-by-step explanation:

15) We solve using the Trigonometric function of Sine

sin θ = Opposite/Hypotenuse

Opposite = 12

Hypotenuse = 24

sinθ = 12/24

θ = arc sin(12/24)

= 30°

Approximately = 30°

16)We solve using the Trigonometric function of Cosine

cos θ = Adjacent/Hypotenuse

Adjacent = 13

Hypotenuse = 20

cos θ = 13/20

θ = arc cos (13/20)

= 49.458398126°

Approximately = 49.5°

Answer:

B, y-axis

Step-by-step explanation:

the y-coords are flipped

The P-value for the test of H0 : μ ≤ 46 versus H1 : μ > 46 is 0.024. A

The given MINITAB output presents the results of a hypothesis test for a population mean μ.

We are required to compute the P-value for the test of H0 : μ ≤ 46 versus H1 : μ > 46 using the output and an appropriate table.

The P-value for the given test is 0.024, which is less than the significance level of 0.05. Hence, we reject the null hypothesis and conclude that there is enough evidence to support the alternative hypothesis that the population mean is greater than 46.

To compute the P-value, we first need to determine the test statistic. The test statistic for the given hypothesis test is t = (X-bar - μ₀) / (s / √n), where X-bar is the sample mean, μ₀ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.

From the MINITAB output, we have the sample mean X-bar = 48.2, the sample standard deviation s = 4.9, and the sample size n = 25. The hypothesized population mean μ₀ = 46.

Substituting the given values in the formula for the test statistic, we get t = (48.2 - 46) / (4.9 / √25) = 2.04.

Using a t-distribution table with degrees of freedom (df) = n - 1 = 24 and the test statistic t = 2.04, we find the area to the right of the test statistic to be 0.024. This is the P-value for the given hypothesis test.

s this value is less than the significance level of 0.05, we reject the null hypothesis and conclude that there is enough evidence to support the alternative hypothesis that the population mean is greater than 46.

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The domain of the equation y = -16x^2 + 1700 is the set of all real numbers.

To find the domain of the equation y = -16x^2 + 1700, we need to determine the set of all real numbers for which the equation is defined.

Since the equation is a quadratic equation, it is defined for all real values of x. There are no restrictions on the values of x that can be plugged into the equation.

Therefore, the domain of the equation y = -16x^2 + 1700 is the set of all the real numbers.

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Answer:

X = -2

Explanation

12 (x+3) = 12

In inferential statistics, the objective is to determine the probability of the alternative hypothesis being true or the null hypothesis being true.

This involves using sample data to make inferences and draw conclusions about a larger population. By analyzing the data and performing statistical tests, we assess the likelihood of the alternative hypothesis or the null hypothesis being accurate.

The alternative hypothesis represents a claim or statement that contradicts the null hypothesis and suggests that there is a significant relationship or difference between variables. To determine its probability, statistical methods such as hypothesis testing and p-values are employed. These methods evaluate the strength of evidence against the null hypothesis and support the alternative hypothesis when the evidence is substantial.

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The most general antiderivative of f(x) is:\((4/5)x^10 - (3/7)x^7 + 3x^4 + C.\)

To find the most general antiderivative of the function f(x) = \(8x^9 - 3x^6 + 12x^3,\) we need to use the power rule of integration, which states that:

\(∫x^n dx = (x^(n+1))/(n+1) + C,\) where C is the constant of integration.

Using this rule, we can find the antiderivative of each term in the function:

\(∫8x^9 dx = (8/(9+1))x^(9+1) + C1 = (4/5)x^10 + C1\)

\(∫-3x^6 dx = (-3/(6+1))x^(6+1) + C2 = (-3/7)x^7 + C2\)

\(∫12x^3 dx = (12/(3+1))x^(3+1) + C3 = 3x^4 + C3\)

Putting it all together, we get:

\(∫(8x^9 - 3x^6 + 12x^3) dx = (4/5)x^10 + (-3/7)x^7 + 3x^4 + C\)

where C = C1 + C2 + C3 is the constant of integration for the entire function.

Therefore, the most general antiderivative of f(x) is:

\((4/5)x^10 - (3/7)x^7 + 3x^4 + C.\)

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The volume of the solid generated by revolving the region enclosed by the given triangle around the x-axis is 80π cubic units.

To find the volume of the solid generated by revolving the region enclosed by the triangle with vertices (3,2), (3,4), and (7,4) around the x-axis, we can use the method of cylindrical shells.

First, let's draw the triangle and visualize the region:

   (3,4)        (7,4)

     *-------------*

      \           /

       \         /

        \       /

         \     /

          \   /

           \ /

           (3,2)

We notice that the base of the triangle lies along the x-axis, and the height is the vertical distance between the points (3,2) and (3,4), which is 4 - 2 = 2 units.

The width of the triangle, which is the horizontal distance between the points (3,2) and (7,4), is 7 - 3 = 4 units.

To find the volume, we integrate the area of the cylindrical shells as we revolve the triangle around the x-axis.

The radius of each cylindrical shell is the distance from the x-axis to the triangle at a specific x-coordinate. Since the triangle lies on the x-axis, the radius will simply be the x-coordinate itself.

We integrate from x = 3 to x = 7, using the following formula:

Volume = ∫[3 to 7] 2πx * height * dx

= 2π ∫[3 to 7] x * 2 dx

= 4π ∫[3 to 7] x dx

= 4π [(1/2)x^2] [3 to 7]

= 4π [(1/2)(7^2 - 3^2)]

= 4π [(1/2)(49 - 9)]

= 4π * 20

= 80π

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Answer:

sum of five and 3 is divided by n

The distance BD is about 1273.43 meters, the angle C is -9°30' (clockwise) and the angle D is 189°30' for the triangle.

The distances and remaining interior angles of a given figure can be calculated using trigonometric identities and the information provided. BD is computed using the law of sine of triangle ABD, and the remaining interior angles are determined using the difference in angle identity.

To find the distance BD, we can use the law of sine of triangle ABD. The law of sines states that the ratio of the length of one side to the sine of the opposite angle is constant for all sides and angles of a triangle. Triangle ABD has angle A = 150°, angle B = 39°30' and side a = 720m. The sine law formula is \(BD/sin(A) = a/sin(B)\).

Rearranging the equation gives \(BD = (a * sin(A)) / sin(B)\). Substituting the values, \(BD = (720m * sin(150°)) / sin(39°30')\) = 1273.42829m (rounded to the nearest whole number).

To determine the remaining interior angles, we can use the difference in the angle identities. The identity of angles states that the sine of the difference between two angles can be expressed in terms of the sine and cosine values ​​of each angle. You can apply this to find the remaining interior angles. For example: Angle C = 180° - (Angle A + Angle B) and Angle D = 180° - Angle C. Substituting the given values, the angle C = 180° - (150° + 39°30') = 180°. - 189°30' = -9°30' (negative because it is clockwise). Similarly: Angle D = 180° - Angle C = 180° - (-9°30') = 189°30'. 

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Answer:

A number that is a perfect square never ends in 2, 3, 7 or 8. If your number ends in any of those numbers, you can stop here because your number is not a perfect square. Obtain the digital root of the number. The digital root essentially is the sum of all of the digits.

Step-by-step explanation:

hope this helps you super sorry if it does not

Answer:

3650 is not a perfect square as it equals 60.415229868

Step-by-step explanation:

Answer:

Yes.  It needs to be clear that it is on going.  So as long as it is evident that it repeats, you're good.

Step-by-step explanation:

The critical t-value is approximately 1.753.

To find the critical value for a 96% confidence interval with a sample size of 15, we need to determine the t-value from the t-distribution table. The t-distribution table is a statistical tool used to determine the probability of a t-value given the degrees of freedom (df) and the desired level of significance (α).

In this case, we have a sample size of 15, which means our degrees of freedom are 14 (n - 1). Looking at a t-distribution table for 14 degrees of freedom and a 96% confidence interval.

This means that if we were to construct a confidence interval from a sample size of 15, the margin of error would be calculated by multiplying the critical t-value of 1.753 by the standard deviation of the sample and dividing by the square root of the sample size. The resulting interval would contain the population mean with 96% confidence.

It's essential to note that the critical value will change as the sample size and confidence level change. Therefore, it's crucial to use the correct table to find the corresponding critical values for a given dataset's sample size and confidence level.

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Answer: The surface area of a sphere can be calculated using the formula:

A = 4 * π * r^2

Where r is the radius of the sphere.

The diameter of the sphere is 36 cm, so the radius can be found by dividing the diameter by 2:

r = 36 cm / 2 = 18 cm

Now that we have the radius, we can plug it into the formula:

A = 4 * π * r^2 = 4 * π * (18 cm)^2 = 4 * π * 324 cm^2 = 1296 * π cm^2

Since π is approximately equal to 3.14, we can get an approximate answer:

A ≈ 1296 * 3.14 = 4071.84 cm^2

So the surface area of the sphere with a diameter of 36 cm is approximately 4071.84 square centimeters.

Step-by-step explanation:

The second pump takes 48 hours to fill the pool by itself.

Given,

One pump can fill a pool in 16 hrs.  

let's consider it will fill a pump at a rate of '' x'' per hour and the rate at which the second pump fills the pool "y". per hour.

Let us consider two equations:

x = 1 pool / 16 hours  ⇒ 1

(x+ y) = 1 pool / 12 hours ⇒ 2

we need to find the value of ''y''

So we substitute the value of "x'' in  equation 2

y = (1 pool / 12 hours) - (1 pool / 16 hours)

Simplifying this expression, we get:

y = (4/48) - (3/48)

y = 1/48

So the second pump can fill the pool by itself at a rate of 1 pool every 48 hours.

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Therefore , the solution of the given problem of algorithm comes out to be the halting problem can be demonstrated to be indecidable and so unsolvable.

A method for performing calculations or solving problems is known as an algorithm. Algorithms act as a thorough set of instructions that step-by-step direct hardware- or software-based processes through a series of planned activities. In every aspect of IT area, algorithms are utilized regularly.

Here,

The halting problem is one of the most popular unsolved issues. It poses the following inquiry:

Does M halt when it is given the input w for an arbitrary Turing machine over the parameters alphabet = a, b and an arbitrary string w over

 The halting problem can be demonstrated to be indecidable and so unsolvable.

Therefore , the solution of the given problem of algorithm comes out to be the halting problem can be demonstrated to be indecidable and so unsolvable.

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Answer:

10 feet

Step-by-step explanation: 2+2=4  3+3=6   4+6=10

================================================

Explanation:

x = radius of the circle

The vertical leg of the right triangle is also x. The horizontal leg is 99.

The hypotenuse is x+81

We have these triangle side lengths:

Use the pythagorean theorem to tie them all together, which will allow us to solve for x.

\(a^2+b^2 = c^2\\\\\text{x}^2+99^2 = (\text{x}+81)^2\\\\\text{x}^2+9801 = \text{x}^2+162\text{x}+6561\\\\9801 = 162\text{x}+6561\\\\9801-6561 = 162\text{x}\\\\3240 = 162\text{x}\\\\\text{x} = 3240/162\\\\\text{x} = 20\)

A tool like GeoGebra or WolframAlpha can be used to confirm the answer is correct.

Answer: A. its basically symmetry

B. I don't know

Step-by-step explanation:

Step-by-step explanation:

a)

b)

i. Range (A): The space spanned by the columns of matrix A. It represents all possible linear combinations of the columns of A.

ii. Null (A): The set of all vectors x such that Ax = 0. It represents the solutions to the homogeneous equation Ax = 0.

iii. Row (A): The space spanned by the rows of matrix A. It represents all possible linear combinations of the rows of A.

iv. Null (A): The set of all vectors y such that ATy = 0. It represents the solutions to the homogeneous equation ATy = 0.

The equation Ax = b has a solution only when b is in the Range (A). It has a unique solution only when the Null (A) contains only the zero vector.

The equation ATy = d has a solution only when d is in the Row (A). It has a unique solution only when the Null (A) contains only the zero vector.

Assuming the size of A is m × n:

When Ax = b has a unique solution, the space Null (A) must be equal to Rn. This means there are no non-zero vectors that satisfy Ax = 0, ensuring a unique solution.

When ATy = d has a unique solution, the space Null (AT) must be equal to Rm. This means there are no non-zero vectors that satisfy ATy = 0, ensuring a unique solution.

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The tables that reprsesent a linear function is (d)

From the question, we have the following parameters that can be used in our computation:

The table of values

A table of value that is a linear function is a table that has a constant rate

i.e. as x changes, y changes constantly

Using the above as a guide, we have the following:

In table (d) x changes constantly by 1 and y constantly changes by -2

Hence, the table is table (d)

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Answer:

$360.67

Step-by-step explanation:

Answer:

The GCF of 39 and 3 is 3

Step-by-step explanation:

3/3= 1

39/3= 13

In order to calculate the new divisor for a 3-for-4 reverse stock split, we must first calculate the new share price for Able. Since 3/4 of the shares are being replaced with just 1/4 of the old shares, the new price for Able will be $111 (3 x $37 = $111).

The divisor is used to calculate the new index value by dividing the sum of the new share prices by the divisor. Therefore, the new divisor will be 1.33 ($111 + $312 + $94 = $517 / 1.33 = $389.28). This is because the new share prices will total $517 and when you divide that by the divisor, the index value will be $389.28.

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Answer:

21 seconds

Step-by-step explanation:

43 seconds

1 second

21 seconds

5 seconds

Answer:

1042-96i

Step-by-step explanation:

(3 + 16i)(6 - 64i)

6(3 + 16i)(3 - 32i)

(6) 9 - 96i + 48i +1024

Answer:

I believe it is A!!!!!

Step-by-step explanation:

I took the test E2020