if you have 3,500 after 10 years on an investment that pays 3.5% compounded daily, what was the principle amount you started with ?

Answer:

X can hold more

Step-by-step explanation:

volume of X is 21x6=126

volume of y is 10x11=110

Answer:

Answer is in the photo below.

Slope= 0.1

Step-by-step explanation:

The option that is not a factor that affects your auto insurance premiums is; C: The Colour of your Car

The amount you'll pay for car insurance is determined by a number of  factors. Now, the factors that mainly determines the bottom line on your auto policy include;

Now, looking at the various factors and comparing to the given options, the only odd one out is the colour of your car.

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The color of your car is not a factor that affects your auto insurance premiums.

Option C is the correct answer.

Auto insurance premiums are calculated based on a variety of factors, including the year, make, and model of your car, where you live, your driving history, your age, and the overall value of your car.

We have,

Insurance companies use statistical models to assess the risk associated with insuring a particular driver and car, and these models take into account a wide range of factors that are known to impact accident rates and insurance claims.

However, the color of your car is not typically considered a significant factor in determining insurance premiums.

While some people believe that red cars or other bright colors may be more likely to get pulled over or be involved in accidents, there is little evidence to support this idea.

Insurance companies are more concerned with the make and model of your car, as well as other factors that are known to impact risk.

Thus,

The color of your car is not a factor that affects your auto insurance premiums.

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Answer: 3\(\sqrt{5}\)

Step-by-step explanation:

as you see c is the hypotenuse of the triangle that has two of the side 6 and 3

c^2=a^+b^2

c^2= 3^2+6^2

c^2=9+36

c^2=45

c= \(\sqrt{45}\)=3\(\sqrt{5}\)

Given the point (1, 3) lies on the graph of y = f(x) and the slope of the tangent line at this point is m = 2.To find the function f(x) .we need to use the slope-point form of a line.

Let the tangent line be y = mx + b where m = 2 and (x, y) = (1, 3) is a point on the line.

Therefore,y = 2x + b3

= 2(1) + bb

= 3 - 2b

= 1.

Thus the equation of the tangent line is given byy = 2x + 1 .

The slope of the tangent line at the point (1, 3) is m = 2, therefore the graph of the function f(x) at the point (1, 3) has a slope of 2.

Hence, the derivative of f(x) at x = 1 is 2.

Answer: The point (1, 3) lies on the graph of y = f(x), and the slope of the tangent line through this point is m = 2. The function f(x) is y = 2x - 1, and the derivative of f(x) at x = 1 is 2.

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Answer:

True, False, False, True

Answer:

True, False, False, True.

Step-by-step explanation:

To find the total number of different routes from town A to town C, we can first find the number of different routes from A to B and then multiply it by the number of different routes from B to C. There are 7 different roads between A and B and 4 different roads between B and C. Therefore, the total number of different routes from A to C is 7 x 4 = 28.

(b) To find the total number of different routes from town A to town C and back, we can use the product rule. There are 28 different routes from A to C (as calculated in part a) and 28 different routes from C to A (since we can use any road once in each direction). Therefore, the total number of different routes from A to C and back is 28 x 28 = 784.

(c) To find the total number of different routes from town A to town C and back in part (b) that visit town B at least once, we can use the principle of inclusion-exclusion. There are 28 different routes from A to C and 28 different routes from C to A. However, we need to subtract the routes that do not visit B at all. To find this number, we can use the product rule again, since there are 5 different roads between A and C that do not go through B (2 from A to C and 3 from C to A). Therefore, the number of routes that do not visit B at all is 2 x 3 = 6. So, the total number of different routes from A to C and back in part (b) that visit B at least once is 28 x 28 - 6 = 784 - 6 = 778.

(d) To find the total number of different routes from town A to town C and back in part (b) that do not use any road twice, we can use the principle of permutations. Since we cannot use any road twice, we need to find the number of permutations of the roads. There are 7 roads between A and B, 4 roads between B and C, and 2 roads between A and C. Therefore, the total number of different routes from A to C and back in part (b) that do not use any road twice is 7P2 x 4P2 x 2P2 = 126 x 12 x 2 = 3024.

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The p-value of the given hypothesis is; 0.9999

The formula for the z-score of proportions is;

z = (p^ - p)/√(p(1 - p)/n)

where;

p^ is sample proportion

p is population proportion

n is sample size

We are given;

p^ = 15% = 0.15

p = 20% = 0.2

n = 5000

Thus;

z = (0.15 - 0.2)/√(0.2(1 - 0.2)/5000)

z = -8.8388

From p-value from z-score calculator, we have;

P(Z < -8.8388) = 1 - 0.0001 = 0.9999

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Answer:

21 cm.

Step-by-step explanation:

The sum of the two longest sides is given as 41 cm:

(x+1) + (x+2) = 41

Simplifying the left side:

2x + 3 = 41

Subtracting 3 from both sides of the equation :

2x = 38

Dividing both sides by 2:

x = 19

In the big picture(at least of the triangle), the length of the shortest side is 19 cm, and the lengths of the other two sides are 20 cm and 21 cm.

Hope it helped!

f(x) = x is a simple linear function with a slope of 1, f(x) = 3 5 6 is a constant function, f(x) = 3-x is a linear function with a negative slope of -1,  f(x) = 1 is a constant function, f(x) = 2 is a constant function

A constant function is a mathematical function whose output value is the same for every input value

From the given parameters, f(x) = x is a simple linear function with a slope of 1, this implies  that for every unit increase in x, the value of y increases by 1.

Also,  f(x) = 3 5 6 is a constant function, where the value of y is always 3 5 6, regardless of the value of x.

In the same way,  f(x) = 3-x is a linear function with a negative slope of -1, which means that for every unit increase in x, the value of y decreases by 1. The fourth function f(x) = 1 is a constant function, where the value of y is always 1, regardless of the value of x.

The domain of the fifth function is 3 0, which means that x can take any value between 3 and 0.

The sixth function f(x) = 2 is a constant function, where the value of y is always 2, regardless of the value of x.

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Answer= \(50cm^{2}\)

Answer:

a11= 3

a12= 7

a13= 20

a21= 1

a22= -4

a23= 9

Step-by-step explanation:

the answer on edge 2020

Answer:

A11 = 3, A12=7, A13 = 20, A21 = 1, A22 = -4, A23 = 9

Step-by-step explanation:

EDGE 2023

The part in the steering column that allows for changes in the angle between the upper and lower shafts is the universal joint.

The universal joint, also known as a U-joint or Cardan joint, is a mechanical device that enables changes in the angle between two shafts that are not in a straight line. In the context of a steering column, the upper and lower shafts are connected by a universal joint.

As the steering wheel is turned, it exerts rotational force on the upper shaft of the steering column. The universal joint allows for the transmission of this rotational motion while accommodating changes in the angle between the upper and lower shafts. It provides flexibility and compensates for any misalignment between the two shafts, ensuring smooth and continuous rotation of the steering column.

The universal joint typically consists of two yokes connected by a cross-shaped component with needle bearings. These bearings allow for rotation in multiple axes, allowing the steering column to handle variations in the angle between the upper and lower shafts during steering movements.

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No, there cannot be a horizontal tangent at the point where the curve intersects the x-axis.

A smooth-drawn figure or line with a bend or turn is referred to as a curve.

A circle is an illustration of a curved shape.

The path, also known as the topological arc, is the name of the curve (or just arc).

If a curve is the continuous injective image of an interval or a circle, it is considered simple.

If a curve is determined by a continuous function, in other words.

So, it possible for the curve to have a horizontal tangent:

On the curve, horizontal tangents appear where:

x = -1 and y ≠ -1

y = 0 where the curve crosses the x-axis.

-1² + 2(-1) + 0⁴ + 4.0 ≠ 5

No, the point where the curve crosses the x-axis cannot have a horizontal tangent.

Therefore, no, there cannot be a horizontal tangent at the point where the curve intersects the x-axis.

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Complete question:

Consider the closed curve in the xy-plane given by : x²+2x+y⁴=4y = 5

Is it possible for this curve to have a horizontal tangent at points where it intersects the x-axis? explain your reasoning.

Therefore, based on the given information, we cannot definitively determine the quadrant in which 2β terminates without knowing the specific value of β or further information.

Given that sec β = 75 cos(23°) and sin β > 0, we can determine the quadrant in which 2β terminates. The solution requires finding the value of β and then analyzing the value of 2β.

To determine the quadrant in which 2β terminates, we first need to find the value of β. Given that sec β = 75 cos(23°), we can rearrange the equation to solve for cos β: cos β = 1/(75 cos(23°)).

Using the trigonometric identity sin² β + cos² β = 1, we can find sin β by substituting the value of cos β into the equation: sin β = √(1 - cos² β).

Since it is given that sin β > 0, we know that β lies in either the first or second quadrant. However, to determine the quadrant in which 2β terminates, we need to consider the value of 2β.

If β is in the first quadrant, then 2β will also be in the first quadrant. Similarly, if β is in the second quadrant, then 2β will be in the third quadrant.

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A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.

The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:

t = (0.693 / k)

where t is the half-life and k is the decay constant.

In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.

t = (0.693 / 0.1472) ≈ 4.7 days

Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.

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Answer:

4/35x5/16=1/7x1/4=1/28 the final answer is1/28

The coefficient of lift is 1.17

C1 = Cn cos α - Ca sin α

Here, α

Cn is the normal force coefficient, and Ca is Substitute 12· for the axial force coefficient for α

C1 = 1.2cos12.-0.03sin 12.

= 1.16

≈1.17

What is the coefficient of normal force?

The Greek letter mu () typically serves as a symbol for it. From a mathematical perspective, = F/N, where F is the normal force and N is the frictional force. The coefficient of friction has no dimensions because both F and N are measured in force units like newtons or pounds.

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The equation that describes the function on the table is:

y = 4x - 9

The correct option is C.

We know that the table represents a function, and we assume it is a linear function.

Remember that a general linear function is:

y = a*x +b

Where a is the slope and b is the y-intercept.

If we know two points (x₁, y₁) and (x₂, y₂), then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

So here we can use the two first points (-1, -13) and (2, -1)

Then the slope is:

a = (-1 + 13)/(2 + 1) = 12/3 = 4

y = 4*x +b

Using one of these points, like (2, -1), we can find the value of b.

Replacing the values of these point we will get:

-1 = 4*2 + b

-1 = 8 + b

-1 - 8 = b

-9 = b

So the line is:

y = 4x - 9

Thus the correct option is C.

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Answer:she would have made 15 baskets

Step-by-step explanation:She would have made 15:20 because since you had 3:4 it’s the same thing with 15:20 she is now going to make a maximum number of 15 baskets

Answer:

3

Step-by-step explanation:

Answer:

D. 3x + 3 + 6 = 33

Step-by-step explanation:

3(x +1) + 6 = 3

multiply 3 by everything in the parenthesis

3(x) + 3(1) + 6 = 33

3x + 3 + 6 = 33

I hope this helps!

Alonzo received 80% percentage of the votes from the club members.

Let's break down the calculation step by step:

1. We start with the formula for calculating a percentage:

  Percentage = (Number of votes for Alonzo / Total number of club members) * 100

2. In this case, we are given that Alonzo received 48 votes out of a total of 60 club members.

3. Substituting these values into the formula, we have:

  Percentage = (48 / 60) * 100

4. To simplify the expression, we divide 48 by 60:

  Percentage = 0.8 * 100

5. Multiplying 0.8 by 100, we get the final result:

  Percentage = 80

Therefore, Alonzo received 80% of the votes from the chess club members. This means that out of all the members who cast their votes, 80% of them voted for Alonzo.

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Answer:

You can't solve this equation.

Step-by-step explanation:

Given the equation: (2x+1)(2x+6)-7(x-2)=4(x+1)(x-1)9x​

When you solve this, it will be either of the following answers.

So you can't fully solve this equation.

Answer:

50.4

Step-by-step explanation:

you need to do 15.30 plus 10 which is 15.40 than take that add 25.00 to it and you get 40.4 that 5 plus 5 whixh is 10 ans you get

For given scenario the dependent variable would be the life of flowers.

For given question,

The variable that researchers are trying to explain or predict is called the

response variable. It is also sometimes called the dependent variable

because it depends on another variable.

The variable which is used to predict the response variable is known as the explanatory variable. It is also called as an independent variable because it does not depend on another variable.

The amount of sugar would be an independent variable and the life of flowers is a dependent variable.

Therefore, for given scenario the dependent variable would be the life of flowers.

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The expression that represents the number of days until only 5% of Technetium-99m remains is approximately 3.79 days.

The given function \(T(d) =\)  \(100 \cdot 2^{-2d}$\)represents the percent of Technetium-99m remaining d days after the test.

To find the number of days until only 5% remains, we need to solve the following equation:

\($100 \cdot 2^{-2d} = 5$\)

Dividing both sides by 100, we get:

\($2^{-2d}$\) \(= 0.05\)

Taking the natural logarithm of both sides, we get:

\($\ln{(2^{-2d})}$\) = \(ln(0.05)\)

Using the logarithmic identity log(base a)(bⁿ) = nlog(base a)(b), we can simplify the left side as:

\(-2d \cdot ln(2) = ln(0.05)\)

Dividing both sides by -2 ln(2), we get:

\(d = ln(0.05) / (-2 \cdot ln(2))\)

Using a calculator, we get:

\(d = 3.79\)

Therefore, the expression that represents the number of days until only 5% of Technetium-99m remains is approximately 3.79 days.

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Let it be:

• x: The larger number.

• y: The smaller number.

Then, we can write the following system of equations:

To solve the system of equations, we can use the elimination method.

Step 1: Multiply by -3 the Equation 1.

Step 2: We add both equations.

Step 3: We solve the resultant equation.

Step 4: We replace the value of y in any of the initial equations. For example, in Equation 1. Then, we solve for x.

Therefore, the larger number is 16, and the smaller number is -14.