Chen is opening a new account with a $1,200 deposit. She will be keeping money in the account, compounded monthly for no more than 3 years. the formula gives the value, V, of the account as a function of time, t. Which is a reasonable domain of this function?

V(t)= 1,200(1 + 0.02)^t/12

A) 0< or equal to t < or equal to 36
B) 0

Significance is determined by comparing the p-value of the test to the chosen level of significance. Therefore, the result is not significant.

Explanation:

In statistical hypothesis testing, significance is determined by comparing the p-value of the test to the chosen level of significance. The level of significance, also known as alpha (α), represents the maximum probability of rejecting the null hypothesis when it is actually true. Typically, a level of significance of .05 is used, meaning that the probability of rejecting the null hypothesis when it is actually true should be no greater than 5%.

To determine whether the test result is significant at the .05 level, we need to know the p-value of the test. If the p-value is less than or equal to .05, we can reject the null hypothesis at the .05 level and conclude that the result is significant. If the p-value is greater than .05, we fail to reject the null hypothesis at the .05 level and conclude that the result is not significant. However, without additional information about the specific test being referred to, it is impossible to determine whether the test result is significant at the .05 level.

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The equation for the plane that contains the point P=(1,2,3) and the line described by the parametric equations x=1+t; y=1+2t; z=1−t is (A) 3x+y−3z=2.

To find the equation of the plane, we need to find the normal vector of the plane. The normal vector is perpendicular to the plane and can be found by taking the cross product of two vectors that are parallel to the plane.

First, we need to find two vectors that are parallel to the plane. We can use the point P and the parametric equations to find these vectors. The vector from the point P to a point on the line is given by:

v = (1+t-1, 1+2t-2, 1-t-3) = (t, 2t, -t-4)

We can also use the derivatives of the parametric equations to find another vector that is parallel to the plane:

u = (dx/dt, dy/dt, dz/dt) = (1, 2, -1)

Now we can take the cross product of these two vectors to find the normal vector:

n = u x v = (2t-(-t-4), -t-4-(-t), 2t-2t) = (3t+4, -4, 0)

Since the normal vector is perpendicular to the plane, the equation of the plane can be written as:

n . (x, y, z) = n . P

(3t+4, -4, 0) . (x, y, z) = (3t+4, -4, 0) . (1, 2, 3)

3t+4x - 4y = 3t+4 - 8

3x + y - 3z = 2

Therefore, the equation of the plane is (A) 3x+y−3z=2.

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Carl Friedrich Gauss, the "Prince of Mathematicians," made groundbreaking contributions to number theory, geometry, physics, and statistics, leaving a lasting impact on the field of mathematics.

We have,

Carl Friedrich Gauss, known as the "Prince of Mathematicians," made significant contributions to number theory, geometry, physics, and statistics.

He formulated the fundamental theorem of arithmetic, developed concepts in differential geometry such as intrinsic curvature and Gaussian curvature, and formulated Gauss's law for electric fields.

Gauss's work laid the foundation for modern mathematics and his emphasis on rigor and precision influenced subsequent generations of mathematicians.

His legacy as one of the greatest mathematicians of all time is based on his profound theorems, laws, and concepts that continue to shape the field.

Thus,

Carl Friedrich Gauss, the "Prince of Mathematicians," made groundbreaking contributions to number theory, geometry, physics, and statistics, leaving a lasting impact on the field of mathematics.

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The diameter of a circle with a circumference of 69.1 yds is 22.

What is circumference of a circle?

The measurement of the circle's perimeter, also known as the circle's boundary, is called its circumference . The radius of the circle is considered when applying the formula to determine the circumference of the circle.

Circumference of circle(C) = 2πR

where,

R represents the radius of the circle

We know that diameter of circle is twice of its radius i.e

Diameter(D) = 2R

Thus, C = πD

We are given Circumference(C) = 69.1yd and π= 3.14

So, using C = πD, we get

⇒69.1 = 3.14*D

⇒D = 69.1/3.14

⇒D = 22

Hence, the diameter of a circle with a circumference of 69.1 yds is 22.

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Answer:

Step-by-step explanation:

Zero because 20 minus 13 is 7 and you minus 7 and it's 0

Answer:

the answer is already given or it is zero in case of quadratic equations

Answer: To check a solution, you can substitute the solutions into the equations and verify that both equations are true.

Step-by-step explanation:

The comparison distribution in a t test for dependent means is a distribution of the differences between the pairs of scores on the dependent variable.

This distribution is used to determine whether the observed differences between the means of two related groups are statistically significant or could have occurred by chance. The t statistic is calculated by dividing the mean difference between the pairs of scores by the standard error of the mean difference, which is based on the variance of the differences in the sample. The t statistic is then compared to a t distribution with degrees of freedom equal to the number of pairs of scores minus one to determine the probability of obtaining the observed difference by chance.

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Answer:

I dont know I just want points

Step-by-step explanation:

The sequence of transformations that will map figure H onto figure H' is: Option B:  the rotation of 180° about the origin, translation of (x + 10, y − 2), and reflection across y = −6.

We are given the coordinates of the hexagon as:

Points of Hexagon H  →  (2,2), (2,6), (6,7), (8,6), (8,2), (6,1)

Points of Hexagon H' →  (2,-8), (2,-4), (4,-3), (8,-4), (8,-8), (4,-9)

The steps that can be used to transform the hexagon H into hexagon H' are:

Step 1 - Translate the hexagon in the positive x-axis direction by a factor of 10.

Step 2 - Translate the graph obtained in the above step by factor 2 in the downward direction.

Step 3 - Rotate the graph obtained in the above step 180 degrees about the origin.

Step 4 - Then take the reflection of the graph obtained in the above step about y = -6. The resulting graph shows the graph of Hexagon H'.

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Answer:

Step-by-step explanation:

Answer:

The answer will be 10 , the last item .

The correct order of the given functions from lowest to the highest growth is: 0.5(0.3) < (n-2)! < 10 log (n+100) < 100(log²n + 3logn² + 0.0052√√n) < 3n+1 < n² < 1000 nlogn + 50 < (2²n) < In² n.

The given functions are listed below according to their order of growth from the lowest to the highest:

Therefore, the correct order of the given functions from lowest to the highest growth is:

0.5(0.3) < (n-2)! < 10 log (n+100) < 100(log²n + 3logn² + 0.0052√√n) < 3n+1 < n² < 1000 nlogn + 50 < (2²n) < In² n.

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8 is the  sum of the exponents of the prime factors of the square root of the largest perfect square that divides 12!

We are asked the sum of the exponents of the prime factors of the square root of the largest perfect square that divides 12!.

As, the largest perfect square that divides 12! is

2^10 * 3^4 *5^2 = 2073600.

Now, the square root of the number 2073600 is,

1440

Now, we have to find the prime factorization of 1440

1440 = 2×2×2×2×2×3×3×5

Now, in the prime factorization of 1440

the exponent of 2 is 5, exponent of 3 is 2 and the exponent of 5 is 1.

So, the sum of the exponents of the prime factors be 5+2+1 = 8

Hence, 8 is the  sum of the exponents of the prime factors of the square root of the largest perfect square that divides 12!

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Answer:

45

Step-by-step explanation:

Lakisha's total job benefits per year are (D) $58,196.

To find  Lakisha's total job benefits:

If Lakisha's employer pays $2,150 in health insurance and $86 in life insurance per year, and she also gets $3,520 in paid time off per year, then Lakisha's total job benefits per year are equal to:

Total Benefits = Health Insurance + Life Insurance + Paid Time Off + Annual Gross Pay

Therefore,  Lakisha's total job benefits per year are (D) $58,196.

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Answer The answer is D

Step-by-step explanation:

I got it correct on edg

Answer: No it is not proportional

All direct proportion equations are in the form y = kx, for some fixed number k.

If we had y = 17x, without the 2 at the end, then it would be in the form y = kx with k = 17. In other words, y = 17x is a direct proportion equation.

The 2 at the end is why we don't have a direct proportion equation. The y intercept must be 0. All direct proportion equations go through the origin.

Answer:

1.91

Step-by-step explanation:

Duncan had 3.8 and used 1.89 obviously we can't subtract right now so we have to add a 0 to 3.8 so it would 3.80 - 1.89 = 1.91

Answer:

surface area≈126.65

Step-by-step explanation:

A=2AB+(a+b+c)h

AB=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving forA

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=5·7+5·7+5·7+1

2·﹣54+2·(5·5)2+2·(5·5)2﹣54+2·(5·5)2﹣54≈126.65064

The odds ratio of Disease A is 4.0, indicating that individuals with exposure have four times higher odds of having Disease A compared to those without exposure. The sex ratio of the population (M:F) is 1.5:1, suggesting that for every 1.5 males, there is 1 female in the population.

1. To calculate the odds ratio, we use the formula: (ad)/(bc), where a represents the number of individuals with Disease A and exposure, b represents the number of individuals without Disease A but with exposure, c represents the number of individuals with Disease A but without exposure, and d represents the number of individuals without Disease A and without exposure.

In this case, a = 100, b = 50, c = 50, and d = 300. Plugging these values into the formula, we get (100300)/(5050) = 4.0.

The odds ratio of Disease A is 4.0, indicating that individuals with exposure have four times higher odds of having Disease A compared to individuals without exposure.

2. To calculate the sex ratio, we divide the number of males by the number of females. In this case, the population consists of 60% males, which is equal to 0.6*5000 = 3000 males. The number of females can be calculated by subtracting the number of males from the total population: 5000 - 3000 = 2000 females.

Therefore, the sex ratio of the population is 3000:2000, which simplifies to 1.5:1 or approximately 1.33:1. This means that for every 1.33 males, there is 1 female in the population.

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Answer:

Step-by-step explanation:

Given : AB = BC.

To Prove : ABCD is a cyclic quadrilateral.

Solution : AB ≅ CD [Given]

m∠BAC = m∠BCA = x° [Property of an isosceles triangle]

m∠ABC = 180° - (m∠BAC + m∠ACB) [Triangular sum theorem]

m∠ABC = 180° - (x + x)

              = 180° - 2x°

m∠ABC + m∠ADC = (180 - 2x) + 2x

                               = 180°

[Property of cyclic quadrilateral → Sum of opposite angles = 180°]

Hence proved.

The side length of the square is determined as 12 units.

The side length of the square is calculated by applying the following formula for perimeter as follows;

Perimeter of the square = 4 (3x + 3) = 12x + 12

Perimeter of the triangle = 7x - 2  +  7x - 2 +  2x + 4 = 16x

Since the perimeter of the square is equal to the perimeter of the triangle, we will have the following equation;

16x = 12x + 12

16x - 12x = 12

4x = 12

x = 12/4

x = 3

The side length of the square is calculated as follows;

Length of square = 3x + 3

Length of square =  3(3) + 3

Length of square =  9 + 3

Length of square = 12

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Answer:

Step-by-step explanation:

Q1

39.99×6.5%=2.60

OPTION B

Q2

189.99×(1+4%)=197.59

OPTION C

Q3

63.45×15%=9.52

OPTION A

Q4

28.3×4%=1.13

OPTION C

Q5

30×(1+12%)=33.6

OPTION C

Q6

49×25%=12.25

OPTION B

Q7

55×30%=16.5

OPTION D

Q8

11.75×(1+6%)=12.46

OPTION C

Q9

16%=0.16

4/25=0.16

0.16=0.16

5/20=0.25 This is different from others

OPTION D

Hope this helps!! :)

Because you have lots of questions, I answered it in a simplified way.

Please tell me if you have any question or need further explanation

The parametric equations for the curve are:

x = -5t^3 - 3t

y = t

To find parametric equations for the curve x = -5y^3 - 3y, we can set y as the parameter and express x in terms of y.

Let y = t, where t is the parameter.

Substituting y = t into the equation x = -5y^3 - 3y:

x = -5(t^3) - 3t

The interval for the parameter values depends on the context or specific requirements of the problem. If no specific interval is given, we can assume a wide range of values for t, such as all real numbers.

So, the correct answer is:

A. x = -5t^3 - 3t, y = t

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Answer:

Step-by-step explanation:

The first one is equal to.  203/203 is equal to 1.  1 times any number is itself.

The second on is less than.  9/37 is a proper fraction and when a number is multiplied by a proper fraction, it gets smaller.

Answer:

-4.84

Step-by-step explanation:

the -4.84 is closest to the positive side of a number line. meaning -4.84 is greater

Answer:

-4.84

Step-by-step explanation:

Becuase the smaller the minus number the greater Becuase its the reverse of positive numbers

Answer:

$3.16

Step-by-step explanation:

Answer:

The answer is "Option A".

Step-by-step explanation:

In this, the question is missing so, we assuming the missing question is this question, which is add in attach file. please find it.

Formula for line:

\(\to \bold{y= mx+ c}\)

\(\to m= slope \\\\\to c= y-intercept\)

In the question the slope "m= 3 and y= -2" so, the line is \(y= 3x+ (-2)\).

\(\to y= 3x-2\)

The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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Answer:

8

Step-by-step explanation:

\( \frac{80}{100} \times 10 = 8\)