Emily gast deposits $50,000 in a 4-year cd that earns interest at an annual rate of 5.25% compounded daily. (a) find the amount of the cd in 4-years. (b) find the interest earned in 4-years

Answer:

4

Step-by-step explanation:

4

All statements are true, but if you try to reverse them they won't necessarily be true.

let us start

Square ⇒ Has 4 sides

But if something has 4 sides it doesn't mean it's a square (example: rectangle)

Angle is 80° ⇒ acute angle

But acute angle is any angle below 90°, not just 80° so the reverse isn't true.

x – 17 = 4 ⇒ x = 21

And if we reverse

x = 21 ⇒ x – 17 = 4

we see that it's true for either direction.

x = 7 ⇒ |x| = 7

But |x| = 7 doesn't mean that x has to be 7, x can also be -7, so the reverse isn't true.

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The mixtures that will taste the same as Flaming BBQ's dipping sauce are (Choice B) 3 mL of hot sauce mixed with 2 ounces of barbecue sauce, (Choice C) 45 mL of hot sauce mixed with 30 ounces of barbecue sauce, and (Choice E) 12 mL of hot sauce mixed with 8 ounces of barbecue sauce. So, options B, C, and E are correct.

In mathematics, a ratio shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six.

To determine which mixtures will taste the same as Flaming BBQ's dipping sauce, we need to compare the ratios of hot sauce to barbecue sauce for each choice.

(Choice A) 6 mL of hot sauce and 10 ounces of barbecue sauce gives a ratio of 6:10 or 3:5.

(Choice B) 3 mL of hot sauce and 2 ounces of barbecue sauce gives a ratio of 3:2.

(Choice C) 45 mL of hot sauce and 30 ounces of barbecue sauce gives a ratio of 45:30 or 3:2.

(Choice D) 24 mL of hot sauce and 18 ounces of barbecue sauce gives a ratio of 24:18 or 4:3.

(Choice E) 12 mL of hot sauce and 8 ounces of barbecue sauce gives a ratio of 12:8 or 3:2.
So, options B, C, and E are correct.

The complete question is:

"Which of the following mixtures, when combined, will taste the same as Flaming BBQ's dipping sauce?

Choose 3 answers:

A. 6 mL of hot sauce mixed with 10 ounces of barbecue sauce.

B. 3 mL of hot sauce mixed with 22 ounces of barbecue sauce.

C. 45 mL of hot sauce mixed with 30 ounces of barbecue sauce.

D. 24 mL of hot sauce mixed with 18 ounces of barbecue sauce.

E. 12 mL of hot sauce mixed with 88 ounces of barbecue sauce."

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9514 1404 393

Answer:

  y = -5x +4

Step-by-step explanation:

The slope can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-6 -4)/(2 -0) = -10/2 = -5

The point (0, 4) tells you the y-intercept is b = 4. So, the equation in slope-intercept form is ...

  y = mx +b . . . . . where m is slope and b is y-intercept

  y = -5x +4

Step-by-step explanation:

the answer is a

4/3πr^3

4/3*22/7*5^3

Principal = 9000

Interest rate = 7% = 0.07

Time = 5 years

Simple interest formula:

A = P(1 + rt)

In this case:

A = 9000(1 + 0.07*5) = 9000(1 + 0.35) = 9000(1.35) = 12150

Interest = A - P = 12150 - 9000 = 3

Answer:  see proof below

Step-by-step explanation:

Use the following Sum to Product Identities:

\(\sin x+\sin y=2\sin \bigg(\dfrac{x+y}{2}\bigg)\cos \bigg(\dfrac{x-y}{2}\bigg)\\\\\\\sin x-\sin y=2\cos \bigg(\dfrac{x+y}{2}\bigg)\sin \bigg(\dfrac{x-y}{2}\bigg)\\\\\\\cos x+\cos y=2\cos \bigg(\dfrac{x+y}{2}\bigg)\cos \bigg(\dfrac{x-y}{2}\bigg)\\\\\\\cos x+\cos y=-2\sin \bigg(\dfrac{x+y}{2}\bigg)\sin \bigg(\dfrac{x-y}{2}\bigg)\)

Proof LHS → RHS

\(\text{LHS:}\qquad \qquad \qquad \dfrac{\sin 5-\sin 15+\sin 25 - \sin 35}{\cos 5-\cos 15- \cos 25 + \cos 35}\)

\(\text{Reqroup:}\qquad \qquad \qquad \dfrac{(\sin 25+\sin 5)-(\sin 35 + \sin 15)}{(\cos 35+\cos 5)-(\cos 25 + \cos 15)}\)

\(\text{Sum to Product:}\quad \dfrac{2\sin \bigg(\dfrac{25+5}{2}\bigg)\cos \bigg(\dfrac{25-5}{2}\bigg)-2\sin \bigg(\dfrac{35+15}{2}\bigg)\cos \bigg(\dfrac{35-15}{2}\bigg)}{2\cos \bigg(\dfrac{25+15}{2}\bigg)\cos \bigg(\dfrac{25-15}{2}\bigg)-2\cos \bigg(\dfrac{35+5}{2}\bigg)\cos \bigg(\dfrac{35-5}{2}\bigg)}\)\(\text{Simplify:}\qquad \qquad \dfrac{2\sin 15\cos 10-2\sin 25\cos 10}{2\cos 20\cos 15-2\cos 20\cos 5}\)

\(\text{Factor:}\qquad \qquad \dfrac{2\cos 10(\sin 15-\sin 25)}{2\cos 20(\cos 15-\cos 5)}\)

\(\text{Sum to Product:}\qquad \dfrac{\cos 10\bigg[2\cos \bigg(\dfrac{15+25}{2}\bigg)\sin \bigg(\dfrac{15-25}{2}\bigg)\bigg]}{\cos 20\bigg[-2\sin \bigg(\dfrac{15+5}{2}\bigg)\sin \bigg(\dfrac{15-5}{2}\bigg)\bigg]}\)

\(\text{Simplify:}\qquad \qquad \dfrac{\cos 10[2\cos 20\sin (-5)]}{\cos 20[-2\sin 10\sin 5]}\\\\\\.\qquad \qquad \qquad =\dfrac{-2\cos10 \cos 20 \sin 5}{-2\sin 10 \cos 20 \sin 5}\\\\\\.\qquad \qquad \qquad =\dfrac{\cos 10}{\sin 10}\\\\\\.\qquad \qquad \qquad =\cot 10\)

LHS = RHS:  cot 10 = cot 10   \(\checkmark\)

Answer:

-14

Step-by-step explanation:

I believe you meant 8x−y^2−3.    The expression 8x−y2−3 is meaningless.

Letting x take on the vaue -1/4 and y the value 3, we get:

8(-1/4) − (3)^2−3, or

-2        -  9 - 3, or

-2 - 12.  Final answer is -14

Answer:

Step-by-step explanation:

Assuming each person gets the same amount of work done, each wall in the first scenario takes 8 minutes to paint. If 3 people paint 4 walls, then each person is painting 1 1/3 of a wall. We can use that to find out how long it takes one person to paint 1 1/3 walls:

\(\frac{8min}{wall}*\frac{4}{3}walls=\frac{32}{3}min\). Interpreting that, it takes each person 10 2/3 minutes to paint 1 1/3 walls.

If 4 people paint 7 walls, that means that each person is painting 7/4 walls, or 1.75 walls each. Using the fact that it takes 10.66666 minutes to paint 1.33333 walls, we can find out how many minutes it will take to paint 1.75 walls:

\(\frac{10.6666}{1.33333}=\frac{x}{1.75}\) Cross multiply to get

18.666655 = 1.3333x so

x = 14.000 minutes

The probability that the wheel stops on a white slice, given that the wheel stops on a number less than 9 is 1/2.

We have given that

A spinner with 8 equally size slices numbered 1 to 8 and some slices are white and other gray in colour .

Total possible outcomes = 8 = {1,2,3,4,5,6,7,8}

we have to calculate probability that the wheel stops on a white slice, given that the wheel stops on a number less than 9?

let consider two events

A : wheel stops at white

B: wheel stops on white slice and number less than 9

favourable cases for event A = 4

= { 8,4,2,1}

P( wheel stops at white colour)

= favourable cases/total possible outcomes

= 4/8 = 1/2

favourable cases for event B = 4

= {1,2,4,8}

Probability ( wheel stops white slice with numbered less than 9)= white slice with number less than 9/ total slices numbered less than 9

= 4/8 = 1/2

Hence, the required probability is 1/2.

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Complete question:

spinner has 8 equally sized slices numbered from to 1&8 Some are white and some are grey, as shown below. 1 2 3 4 5 6 7 8 . Answer the following questions Write each answer a fraction. The wheel will be spun and will stop on a slice at random (a) What Is the probabllity that the wheel stops on grey slice, glven that the (b) wheel stops on &n even-numbered slice?

Answer:

Step-by-step explanation:

12. all angles are the same size.

all ik sry

The cube has an edge length of x inches, and the protective coating has a thickness of 1 inch.The amount of coating needed for the cube with a protective coating 1 inch thick is 6L² square inches.

The total dimensions of the cube including the coating is (x + 2) inches.

So, the volume of the cube plus the coating can be calculated by using the formula:

V = (x + 2)³ - x³

  = (x³ + 6x² + 12x + 8) - x³

   = 6x² + 12x + 8 cubic inches

Therefore, a production manager should order 6x² + 12x + 8 cubic inches of coating for such cubes.

To calculate the amount of coating needed for a cube with a protective coating of 1 inch thick, we need to find the surface area of the cube and then multiply it by the thickness of the coating.

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

Surface Area = 6 * (edge length)²

Let's assume the edge length of the cube is represented by "L" inches.

The surface area of the cube is:

Surface Area = 6 * (L)²

                     = 6L² square inches

To find the amount of coating needed, we multiply the surface area by the thickness of the coating:

Coating needed = Surface Area * Thickness

                          = 6L² * 1 inch

Therefore, the amount of coating needed for the cube with a protective coating 1 inch thick is 6L² square inches.

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The length of the apothem of the regular triangle with a perimeter of 96√3 units is 16 units.

To find the length of the apothem of a regular triangle, we need to know the length of one of its sides. We are given the perimeter of the triangle, which is 96√3 units. Since a regular triangle has three equal sides, we can divide the perimeter by 3 to get the length of one side:

96√3 ÷ 3 = 32√3 units

Now, we can use the formula for the apothem of a regular triangle:

apothem = (side length) / (2 * tan(π/3))

where π/3 is the angle between the apothem and one side of the triangle (which is 60 degrees for a regular triangle).

Plugging in the values we have:

apothem = (32√3) / (2 * tan(π/3))

apothem = (32√3) / (2 * √3)

apothem = 16 units

Therefore, the length of the apothem of the regular triangle with a perimeter of 96√3 units is 16 units.

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The average family size in Neighborhood Q is 2.7 while in Neighborhood S it is 3.7. Additionally, the maximum family size in Neighborhood Q is 6 while in Neighborhood S it is 5.

These facts suggest that Neighborhood Q has smaller families on average, but also has at least one significantly larger family compared to Neighborhood S.

The neighborhood that appears to have a bigger family size is Neighborhood S. To determine this, calculate the average family size for each neighborhood: Neighborhood Q has an average of (6+3+1+2+3+2+5+1+2)/9 = 25/9 ≈ 2.78 people per family, and Neighborhood S has an average of (5+2+4+3+5+3+2+4+5)/9 = 33/9 ≈ 3.67 people per family. Since 3.67 is greater than 2.78, Neighborhood S has a larger average family size.

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Answer:

B.5

Step-by-step explanation:

5*12=60

Answer:

     j/k + 6

Step-by-step explanation:

Add 6 to the quotient of j and k comes out to:

                                  j/k + 6

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

The slope of the tangent line to the graph of the function y = x^4 - 10x^2 + 9 at x = 1 can be found by taking the derivative of the function and evaluating it at x = 1. The equation of the tangent line can then be determined using the point-slope form.

Taking the derivative of the function y = x^4 - 10x^2 + 9 with respect to x, we get:

dy/dx = 4x^3 - 20x

To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative:

dy/dx (at x = 1) = 4(1)^3 - 20(1) = 4 - 20 = -16

Therefore, the slope of the tangent line is -16.

To find the equation of the tangent line, we use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Given that the point of tangency is (1, y(1)), we substitute x1 = 1 and y1 = y(1) into the equation:

y - y(1) = -16(x - 1)

Expanding the equation and simplifying, we have:

y - y(1) = -16x + 16

Rearranging the equation, we obtain the equation of the tangent line:

y = -16x + (y(1) + 16)

To find the slope of the tangent line, we first need to find the derivative of the given function. The derivative represents the rate of change of the function at any point on its graph. By evaluating the derivative at the specific value of x, we can determine the slope of the tangent line at that point.

In this case, the given function is y = x^4 - 10x^2 + 9. Taking its derivative with respect to x gives us dy/dx = 4x^3 - 20x. To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative equation, resulting in dy/dx = -16.

The slope of the tangent line is -16. This indicates that for every unit increase in x, the corresponding y-value decreases by 16 units.

To determine the equation of the tangent line, we use the point-slope form of a linear equation, which is y - y1 = m(x - x1). We know the point of tangency is (1, y(1)), where x1 = 1 and y(1) is the value of the function at x = 1.

Substituting these values into the point-slope form, we get y - y(1) = -16(x - 1). Expanding the equation and rearranging it yields the equation of the tangent line, y = -16x + (y(1) + 16).

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

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As per the given data, r'(t) · r''(t) = \(108e^{(2t)} - 72e^{(-2t)} + 72te^{(2t)\).

To discover t(zero), we want to alternative 0 for t inside the given feature r(t). This offers us:

\(r(0) = 3e^{(2(0)}), 3e^{(-2(0)}), 3(0)e^{(2(0)})\\\\= 3e^0, 3e^0, 0\\\\= 3(1), 3(1), 0\\\\= 3, 3, 0\)

Therefore, t(0) = (3, 3, 0).

To find r''(0), we need to locate the second one derivative of the given feature r(t). Taking the by-product two times, we get:

\(r''(t) = (3e^{(2t)})'', (3e^{(-2t)})'', (3te^{(2t)})''= 12e^{(2t)}, 12e^{(-2t)}, 12te^{(2t)} + 12e^{(2t)}\)

Substituting 0 for t in r''(t), we have:

\(r''(0) = 12e^{(2(0)}), 12e^{(-2(0)}), 12(0)e^{(2(0)}) + 12e^{(2(0)})\\\\= 12e^0, 12e^0, 12(0)e^0 + 12e^0\\\\= 12(1), 12(1), 0 + 12(1)\\\\= 12, 12, 12\)

Therefore, r''(0) = (12, 12, 12).

Finally, to discover r'(t) · r''(t), we need to calculate the dot made of the first derivative of r(t) and the second spinoff r''(t). The first spinoff of r(t) is given by using:

\(r'(t) = (3e^{(2t)})', (3e^{(-2t)})', (3te^{(2t)})'\\\\= 6e^{(2t)}, -6e^{(-2t)}, 3e^{(2t)} + 6te^{(2t)\)

\(r'(t) · r''(t) = (6e^{(2t)}, -6e^{(-2t)}, 3e^{(2t)} + 6te^{(2t)}) · (12, 12, 12)\\\\= 6e^{(2t)} * 12 + (-6e^{(-2t)}) * 12 + (3e^{(2t)} + 6te^{(2t)}) * 12\\\\= 72e^{(2t)} - 72e^{(-2t)} + 36e^{(2t)} + 72te^{(2t)\)

Thus, r'(t) · r''(t) = \(108e^{(2t)} - 72e^{(-2t)} + 72te^{(2t)\).

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Answer:

c

Step-by-step explanation:

From the definition of a function, an x-value cannot have more than 1 corresponding y-value. Since x = -5 has already been used, it cannot be used again with a different value for y.

1 656 m³

V = B×h/3

= 92m²×54m/3

= 92m²×18m

Answer:

v = 1656 cubic meters

Step-by-step explanation:

what we have =  base area = 92 square meters

                       = height = 54 meters

the volume formula of a rectangular pyramid = V=lwh  /3

since base area = lw

lw = 92 meters

now we can write - 92* 54 /3

                             = 4968 /3

                             = 1656

So the corect answer is 1656 cubic meters and the student is wrong.

Answer:

175 people

Step-by-step explanation:

First, we can divide 84 (the people who chose strawberries) by 48 (the percent) to find one percent of the people who took the survey.

After dividing, we get 1.75.

Now that we have 1% of the entire amount of people who took the survey, we multiply 1.75 by a 100 to get 100%, or the total amount of people who took the survey.

1.75 times 100 is 175. Thus, 175 people took the survey.

A city's residents voted on whether to raise property taxes. The yes votes outnumbered the no votes 5 to 4. The total number of votes = 1043 if there were 2348 no votes.

A ratio is an ordered pair of numbers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other.

For example, if there is one boy and three girls, the ratio could be written as 1: 3. (for every one boy there are 3 girls). In the ratio, the product of means equals the product of extremes.

If the cross products of two ratios are equal, they are said to be equal. The Proportion Formula is as follows: a: b:: c: d a b = c d

Therefore,

The total number of votes = 1043

yes votes / no votes = 5/4

Means there were a total of 9 votes;

So we could say:

No votes/Total votes = 4/9

So using total of 2348 votes, we can set up a proportion:

No votes/Total votes = 4/9 = x/2348

Cross multiplying ,

9392 = 9x

∴ x = 9392/9

= 1043

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Answer: 20

Step-by-step explanation:

18/20 %90

Therefore, analytics is a critical tool for businesses and organizations looking to gain a competitive advantage and improve their operations.

Analytics is often described as the study of historical data to extract insights and make informed decisions. It involves the collection, processing, and analysis of data to discover patterns, identify trends, and gain insights into business operations. By examining data sets, analytics can help businesses identify areas of improvement, optimize performance, and increase efficiency. Analytics tools and techniques can be used across many different fields, including finance, marketing, healthcare, and sports. In finance, analytics can be used to analyze market trends and predict future outcomes. In marketing, analytics can help businesses identify customer behavior patterns and optimize marketing campaigns. In healthcare, analytics can help identify patterns in patient data and improve healthcare outcomes. In sports, analytics can be used to analyze player performance and predict game outcomes.

Therefore, analytics is a critical tool for businesses and organizations looking to gain a competitive advantage and improve their operations.

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The probability that at least 5 of them started smoking before 21 years of age is 0.9997.2. The probability that at most 11 of them started smoking before 21 years of age is 0.9982.3. The probability that exactly 13 of them started smoking before 21 years of age is 0.000006.

(1) The probability that at least 5 of them started smoking before 21 years of age isThe probability of at least 5 smokers out of 14 to start smoking before 21 is the probability of 5 or more smokers out of 14 smokers who started smoking before 21.  Using the complement rule to find this probability: 1-P(X≤4) =1-0.0003

=0.9997Therefore, the probability that at least 5 of them started smoking before 21 years of age is 0.9997.

(2) The probability that at most 11 of them started smoking before 21 years of age isThe probability of at most 11 smokers out of 14 to start smoking before 21 is the probability of 11 or fewer smokers out of 14 smokers who started smoking before 21. Using the cumulative distribution function of the binomial distribution, we have:P(X ≤ 11) = binomcdf(14,0.9,11)

=0.9982

Therefore, the probability that at most 11 of them started smoking before 21 years of age is 0.9982.(3) The probability that exactly 13 of them started smoking before 21 years of age isThe probability of exactly 13 smokers out of 14 to start smoking before 21 is:P(X = 13)

= binompdf(14,0.9,13)

=0.000006Therefore, the probability that exactly 13 of them started smoking before 21 years of age is 0.000006.

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Answer:

\(-16\), \(10\)

Step-by-step explanation:

To get the coefficients, we first need to factor the expressions

\((2x-4)^{2}\)

\((2x-4)(2x-4)\)

\(4x^{2}-16x+16\)

The coefficient of x is -16

\((x+3)(x^{2}+7x+8)\)

\(x^{3}+10x^{2}+29x+24\)

The coefficient of x² is 10

plz mark me brainliest. :)

Answer:

The answer is 7/24

Step-by-step explanation:

\(\huge\text{Hey there!}\)

\(\large\text{If you’re doing the DISTRIBUTIVE PROPERTY... all you have to}\\\large\text{MULTIPLY 4 within your PARENTHESES.}\)

\(\large\text{}\)\(\large\text{4(5x) + 4(11)}\)

\(\large\text{4(5x) = 20x}\)

\(\large\text{4(11) = 44}\)

\(\large\text{\bf = 20x + 44 }\)

\(\boxed{\boxed{\large\text{Answer: \huge \bf 20x + 44}}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:}\)

\(\large\text{Your GUIDE}\downarrow\)

\(\textsf{Distributive formula}\)

\(\textsf{a(b + c)}\)

\(\textsf{a(b) + a(c)}\)

\(\textsf{= ab + ac}\)

f(x) is not continuous on R and G = (1/2, 2),  f⁻¹(G) = (1/2, 2)

In order to prove that f(x) is not continuous on R, we must find an open subset G of R such that f⁻¹(G) is not open.

Here's how to do it:

Let f(x) = 1/x on R.

Consider the open interval (1/2, 2).

G = (1/2, 2) is the open set.

Now, we have to find f⁻¹(G).

So, we have: 1/x ϵ G for all x ϵ (1/2, 2)

Then, x > 1/2 and x < 2 or equivalently x ϵ (1/2, 2)

We need to solve for x in 1/x ϵ (1/2, 2)

We have: (1/2) < 1/x < 2

Then, 2 > x > 1/2 (reciprocals flip)

Therefore, f⁻¹(G) = (1/2, 2), which is not an open subset of R since it contains endpoints but it does not include the endpoints.

Thus, we can say that f(x) is not continuous on R.

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