Becky would like to be a millionaire in 40 years. How much would she need to invest quarterly in a sinking fund paying a 9% interest ratecompounded quarterly to accumulate $1,000,000 in 40 years?She needs to make quarterly payment of $(Round up to the nearest cent.)

Answer:

ig

Step-by-step explanation:

Answer:

A=a+(b/2)h=((5+7)/2)4=24

Step-by-step explanation:

Answer:17

Step-by-step explanation:

The value of A when we rewrite 6^x as A^x/4 is 3/2

An algebraic expression can simply be defined as a mathematical expression that consists of terms, factors, constants, coefficients and variables.

They are also known as expressions made up of arithmetic operations, such as;

From the information given, we have that;

The function is given as;

6^x

Here, the coefficient or rather the base is 6

To determine the value of A when ^^x is given as A^x/4

The value of A would be;

6/4 = 3/2

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The value of radius of cone is,

⇒ r = 6 millimeters

We have to given that;

A cone has a volume of 226.08 cubic millimeters and a height of 6 millimeters.

Now, We know that;

Volume of cone = 1/3πr²h

Hence, We get;

⇒ 226.08 = 1/3 × 3.14 × r² × 6

⇒ r² = 226.08 / 6.28

⇒ r² = 36

⇒ r = 6 millimeters

Thus, The value of radius of cone is,

⇒ r = 6 millimeters

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Complete question is,

A cone has a volume of 226.08 cubic millimeters and a height of 6 millimeters. What is its radius?

Answer:

A

Step-by-step explanation:

DE is the shortest side because it's is opposite to the smallest angle (<F)

180 - 60 = 3X +2X + 5,

X = 23

<F = 2*(23) +5 = 51

Answer:

65

Step-by-step explanation:

The lines are parallell so m1 = m5, and m3=m8. 180-115 is 65

Answer:

Step-by-step explanation:

67

Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.

Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.

This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.

He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.

Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.

Thus, looking at the provided options, option B ($850.00) would be the correct answer.

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Answer:

Step-by-step explanation:

THE ANSWER TO YOUR QUESTION IS C.

The resulting differential function is f'(x) = 2x and g'(x) = 2x² + 1

The term function in statistics refers the expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Here we have given that let f and g be functions that are differentiable for all real numbers.

And we have to find the solution for the function.

Let us consider f(x) =  x² and g(x) = x³ + 1

Then the differentiation function is calculated as,

As per the law of differentiation, it can be written like the following,

=> f'(x) = x² dx

Then it can be written as the following after differentiation

=> f'(x) = 2x

Similarly, the g(x) is differentiated like the following,

=> g'(x) = x³ + 1 dx

=> g'(x) = 2x² + 1

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According to the given information, the approximate temperature of the Sun's core is \(1.485*10^{7}\)degrees Celsius.

The Sun is a massive ball of gas that generates heat and light through nuclear fusion at its core. The temperature of the Sun's core is much hotter than its surface temperature, and this difference in temperature is responsible for the Sun's energy output.

The temperature of the Sun's surface is approximately \((5.5*10^{3})\) degrees Celsius, which is also known as the photosphere. However, the temperature at the Sun's core is estimated to be about \((2.7*10^{3})\) times hotter than the surface temperature. This is because the core is the site of intense nuclear fusion reactions that convert hydrogen into helium and release huge amounts of energy in the form of heat and light.

To find the approximate temperature of the Sun's core, we can start with the temperature of the Sun's surface, which is given as \((5.5*10^{3})\) degrees Celsius. We need to multiply this by the factor of  \((2.7*10^{3})\)  to get the temperature of the core.

The approximate temperature of the Sun's core

= \((5.5*10^{3}) * (2.7*10^{3})\)

=\(14.85*10^{6}\)degrees Celsius

= \(1.485*10^{7}\) degrees Celsius (in scientific notation)

Therefore, the approximate temperature of the Sun's core is \(1.485*10^{7}\)degrees Celsius.

This extremely high temperature is necessary to sustain the nuclear reactions that power the Sun's energy output. The high temperature and pressure in the core create the ideal conditions for nuclear fusion to occur, which releases energy that eventually makes its way to the surface of the Sun and out into space in the form of light and heat.

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Answer:

135º

Step-by-step explanation:

Total parts

5 + 8 + 12 + 15 = 40

Value of each part; 360º in a quadrilateral

360 / 40 = 9

Largest angle

15 * 9 = 135º

Answer:

p=38

Step-by-step explanation:

hope that helps!

Answer:

When  Item Price * (%) is < or > to $ Off

Step-by-step explanation:

The solution of x in the inequality is x > 2

The inequality is given as:

5x + one third(3x + 6) > 14

Rewrite properly as:

5x + 1/3(3x + 6) > 14

Open the brackets

5x + x + 2 > 14

Subtract 2 from both sides of the inequality

5x + x + 2 - 2> 14 - 2

Evaluate the difference

5x + x > 12

Evaluate the like terms

6x > 12

Divide both sides of the inequality by 2

x > 2

Hence, the solution of x in the inequality is x > 2

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Answer:

x > 2, like the other guy said

Step-by-step explanation:

I hope this helps

Step-by-step explanation:

Pick any point on the graph below for a solution:

Answer:

3/5

Explanation:

Given the expression:

Change the division sign to multiplication and swap the numerator and denominator of the fraction after the division sign.

Using the slope concept, it is found that his friends are 20 feet apart.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

For the first friend, there is a vertical change of 34 feet and an angle of 34º, hence his position is:

\(\tan{34^\circ} = \frac{34}{x_1}\)

\(x_1 = \frac{34}{\tan{34^\circ}}\)

\(x_1 = 50.4\)

For the second friend, there is a vertical change of 34 feet and an angle of 48º, hence his position is:

\(\tan{48^\circ} = \frac{34}{x_1}\)

\(x_1 = \frac{34}{\tan{48^\circ}}\)

\(x_2 = 30.6\)

The difference is of:

50.4 - 30.6 = 19.8.

Rounding to the nearest foot, his friends are 20 feet apart.

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Answer:

-2x-3

Step-by-step explanation:

See the image below:) you can use the app photo math, you just take a picture of the problem and it gives you the answer and explains the steps.

Check the picture below.

By using probability , 8.5  is the expected value of the sum of the two dice .

What does the math term "probability" mean?

The simple definition of probability is the likelihood that something will occur.

                            We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events that follow a probability distribution.

Expected value of sum of two dice = Expected value of first die + Expected value of second die

= (1+2+3+4+5+6)/6 + (1+2+3+4+5+6+7+8+9)/9

= 3.5 + 5

= 8.5

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The three integers are 24, 26 and 28 respectively.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given are three consecutive even integers.

Assume that the integers are -

x, (x + 2), (x + 4)

According to question -

x + x + 2 = x + 4 + 22

2x + 2 = x + 26

x = 24

x + 2 = 26

x + 4 = 28

Therefore, the three integers are 24, 26 and 28 respectively.

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The smallest positive debt that can be paid off using sticker trading is $7$ dollars.

To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.

Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.

The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.

In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.

Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.

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Answer:

C. 9x-1

Step-by-step explanation:

(5x+2)+(4x-3)

5x+2+4x-3

5x+4x+2-3

9x-1

The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:

0: µ = 14 (null hypothesis)

1: µ ≠ 14 (alternative hypothesis)

Option B is the correct answer.

We have,

The null hypothesis states that the population mean for the number of hours spent studying by full-time students at 4-year colleges in the United States is equal to 14 hours per week,

while the alternative hypothesis states that it is different from 14 hours per week.

By using a two-tailed test, we are checking for any significant change in either direction, whether the average number of hours spent studying has increased or decreased from 14 hours per week.

Thus,

The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:

0: µ = 14 (null hypothesis)

1: µ ≠ 14 (alternative hypothesis)

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The sum of angles ∠D and ∠F in quadrilateral DEFG, inscribed in circle P, is equal to 180∘.

To prove that m∠D + m∠F = 180∘, we can use the property of angles inscribed in a circle.

In a circle, an inscribed angle is equal to half the measure of its intercepted arc. Therefore, if we can show that arc DE + arc FG = 360∘, we can conclude that m∠D + m∠F = 180∘.

Let's start the proof:

1. Quadrilateral DEFG is inscribed in circle P. This means that all the vertices of the quadrilateral lie on the circumference of the circle.

2. Let's consider arc DE and arc FG. These arcs are intercepted by angles ∠D and ∠F, respectively.

3. By the property of angles inscribed in a circle, we know that the measure of an inscribed angle is equal to half the measure of its intercepted arc.

4. Therefore, m∠D = 1/2(arc DE) and m∠F = 1/2(arc FG).

5. We want to prove that m∠D + m∠F = 180∘. This is equivalent to showing that 1/2(arc DE) + 1/2(arc FG) = 180∘.

6. Combining the fractions, we have 1/2(arc DE + arc FG) = 180∘.

7. Now, we need to show that arc DE + arc FG = 360∘.

8. Since quadrilateral DEFG is inscribed in circle P, the sum of the measures of all the arcs intercepted by the sides of the quadrilateral is equal to 360∘.

9. This means that arc DE + arc EF + arc FG + arc GD = 360∘.

10. However, we can observe that arc EF and arc GD are opposite sides of the same chord, so they have equal measures. Therefore, arc EF = arc GD.

11. Substituting arc GD with arc EF in the equation from step 9, we have arc DE + arc EF + arc FG + arc EF = 360∘.

12. Simplifying the equation, we get 2(arc DE + arc EF + arc FG) = 360∘.

13. Dividing both sides by 2, we have arc DE + arc EF + arc FG = 180∘.

14. Comparing this result with step 7, we can conclude that arc DE + arc FG = 180∘.

15. Finally, going back to our initial goal, we can now substitute arc DE + arc FG with 180∘ in the equation from step 6: 1/2(180∘) = 180∘.

16. Simplifying, we have 90∘ = 180∘, which is a true statement.

17. Therefore, we have proven that m∠D + m∠F = 180∘.

Thus, we have successfully proved that the sum of angles ∠D and ∠F in quadrilateral DEFG, inscribed in circle P, is equal to 180∘.

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Answer:

4/5 would be at the 8th line, and 3/10 would be on the 3rd

Step-by-step explanation:

There would be 210 Different combinations of 6 records that could be played out of the 10 available records.

The number of ways the program for this radio show segment can be arranged, we need to use the formula for permutations, which is:nPr = n! / (n - r)!

where n is the total number of items to choose from and r is the number of items to be selected.

In this case, the disc jockey can play 6 records out of a total of 10. So, we can plug in n = 10 and r = 6 into the formula and calculate the number of permutations:

10P6 = 10! / (10 - 6)!

    = 10! / 4!

    = (10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) / (4 x 3 x 2 x 1)

    = (10 x 9 x 8 x 7 x 6 x 5)

    = 151,200

Therefore, there are 151,200 ways that the program for this radio show segment can be arranged from the 10 available records.

It's important to note that the order in which the records are played matters, so this is a case of permutations rather than combinations. If the order didn't matter and we were simply selecting 6 records out of 10, we would use the formula for combinations instead:

nCr = n! / (r! * (n - r)!)

In this case, we would have:

10C6 = 10! / (6! * (10 - 6)!)

    = 10! / (6! * 4!)

    = (10 x 9 x 8 x 7) / (4 x 3 x 2 x 1)

    = 210

Therefore, there would be 210 different combinations of 6 records that could be played out of the 10 available records.

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Answer:

Percentile 2020 Percent Change

18%           $4,480.43 30.8%

19%      $5,378.37 24.0%

20%   $6,368.35 24.3%

21%         $7,363.47 22.4%

Step-by-step explanation: