I am lost and have a hard time figuring out which slot goes into which column of y-symmetry, zeros, axis symmetry and maximum/minimum value. How do I go by answering the question to each card.? I want to make sure I am solving this correctly. please help. Thanks

The future value of an investment is the worth of the investment in a given time.

Ed's monthly payment to meet up with Steve's is $4701.

We have:

Steve

\(n=46\) --- time

\(r = 8\%\) --- rate

\(PMT = 3200\) --- monthly payments

First, we calculate the Steve's future value

\(FV = \frac{PMT \times ((1 + r)^{n - 1}) \div r}{1 + r}\)

So, we have:

\(FV = \frac{3200 \times ((1 + 8\%)^{46 - 1}) \div 8\%}{1 + 8\%}\)

\(FV = \frac{3200 \times ((1 + 0.08)^{45}) \div 0.08}{1 + 0.08}\)

\(FV = \frac{3200 \times (1.08)^{45} \div 0.08}{1.08}\)

\(FV = 1182238.87\)

For Ed, we have, the following parameters

\(n=41\) --- time

\(r = 8\%\) --- rate

\(FV = 1182238.87\) ---- Ed's future value is the same as Steve's

So, we have:

\(FV = \frac{PMT \times ((1 + r)^{n - 1}) \div r}{1 + r}\)

\(1182238.87 = \frac{PMT \times ((1 + 0.08)^{41 - 1}) \div 0.08}{1 + 0.08}\)

\(1182238.87 = \frac{PMT \times ((1 + 0.08)^{41 - 1}) \div 0.08}{1.08}\)

Multiply by 1.08 x 0.08

\(0.08 \times 1.08 \times 1182238.87 = PMT \times ((1 + 0.08)^{41 - 1})\)

\(102145.44 = PMT \times ((1.08)^{40})\)

Make PMT the subject

\(PMT = \frac{102145.44}{(1.08)^{40}}\)

\(PMT = 4701\) --- approximated

Hence, Ed's monthly payment to meet up with Steve's is $4701.

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Answer:

green line or "b"

Step-by-step explanation:

we can set this up into the slope intercept form

y=mx+b

where m is the slope and b is y intercept

12=3x+4y

-3x -3x

-3x+12=4y

/4.  /4.  /4

-3/4x+3=y

we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"

hopes this helps please mark rainliest

The values of v for the electric impulse model in the Fitzhugh-Nagumo model are 0, 1, and a.

The strength of the field is shown by the distance between the lines; the closer they are to one another, the stronger the field.

In this scenario, the field weakens as we travel away from the charge because the distance between the lines widens (it actually obeys an inverse square law,

The electric field, which is pointed away from the core charge, is indicated by the direction of the lines.

This is due to the fact that a positive test charge would be repelled away from the electric field if it were placed there because the direction of the electric field corresponds to the direction of the force that a positive test charge would experience when immersed in the electric field.

Hence, The values of v for the electric impulse model in the Fitzhugh-Nagumo model are 0, 1, and a.

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Answer:

The third one.

Step-by-step explanation:

Answer:

\(2\)

Step-by-step explanation:

For this I would find two friendly points like (60,10) and (70,30). Now we will plug in for the slope-intercept formula \(m=\frac{y_2-y_1}{x_2-x_1}\).

So...

\(y_2=30\\y_1=10\\x_2=70\\x_1=60\)

Now we plug in and solve...

\(m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{30-10}{70-60}\\m=\frac{20}{10}\\m=\frac{2}{1}=2\)

So the slope will be 2.

For, n = 0, 1 we proved that 7⁽ⁿ⁺⁴⁾ - 7ⁿ hence by induction it is divisible by 30 for all n ∈ N.

An inductive proof requires two cases. The first, or base case, establishes the proposition that n = 0 without requiring any prior knowledge of other situations. The second example, the induction step, demonstrates that if the assertion is true for any particular case where n = k, then it must also be true for the subsequent case when n = k + 1. These two actions prove that the statement is true for all n = 1 natural numbers. The base case establishes the truth of the statement for all natural numbers n N, but it does not always start with n = 0. Instead, it frequently starts with n = 1, and it may also start with any fixed natural number n = N.

Given, We have to prove 7⁽ⁿ⁺⁴⁾ - 7ⁿ is divisible by 30 for all n ∈ N.

Let, n = 0.

Therefore,

7⁴ - 7⁰.

= 2401 - 1.

= 2400.

= 30×80, Divisible by 30.

Similarly for n = 1 we have,

7⁵ - 7¹.

= 16807 - 7.

= 16800.

= 30×560.

Hence by induction, the cycle will continue.

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Answer:

The correct answer is a.

Step-by-step explanation:

The sequence is: 2 3 E 4 5 I 6 8 We can notice that there are numbers and letters alternating in the sequence. The numbers are increasing, and the letters seem to be vowels in alphabetical order. So, the next value should be a letter (vowel) after I, which is O. The correct answer is a.

Solution :

Given :

\($\mu = 6883$\)

\($s=2518$\)

n = 40

\($\overline x = 5980$\)

Therefore, determining the null hypothesis and alternate hypothesis is :

\($H_0: \mu = 6883$\)

\($H_a: \mu < 6883$\)

The value of the test statistics is :

\($t=\frac{\overline x - \mu}{s/\sqrt n}$\)

\($t=\frac{5980 - 6883}{2518/\sqrt 40}$\)

\($t \approx -2.27$\)

So, df =  n - 1

          = 40 - 1

          = 39

∴  0.01 < P < 0.025

If the P value is less than α = 0.03, we reject the null hypothesis. Therefore, we conclude that mean annual Medicare spending in Indianapolis is lower than the national mean.

Using the value of \($\alpha = 0.03$\), the critical value of for the test statistics is 2.17

There we reject the null hypothesis. And thus we conclude that the mean annual Medicare spending in Indianapolis is lower than the national mean.

Answer:

come india

Step-by-step explanation:

ok

Answer:

a) 14

=14 x 16 ounces

= 224

b) 18.2 x 1 kilogram

= 18.2 x 1000 grams

= 18200

Step-by-step explanation:

Answer:

$31.50

Step-by-step explanation:

First find 5 percent of 30 which is 5 divided by 100 multiplied by 30 then add the answer to 30 to get the answer to the question

The 8 will end up in the "ones place".

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.

We need to find the 8 will end up in which place

A negative divided by a negative is positive, then;

2380/ 10 = 238

Therefore, The 8 will end up in the _ ones_ place.

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Answer:

\({ \rm{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\ \\ { \rm{slope = \frac{9 - ( - 5)}{6 - ( - 1)} }} \\ \\ { \rm{slope = \frac{14}{7} }} \\ \\ { \boxed{ \rm{ \: \: slope = 2 \: \: }}}\)

The data contained in the foodindustry file can be expressed mathematically by calculating the average sales per store for each restaurant chain.

This can be done by dividing the total sales of all stores in the chain by the total number of stores in the chain. Mathematically, this could be expressed as follows:

Average Sales per Store = Total Sales of all Stores / Total Number of Stores

For example, if a chain had 10 stores with a total sales of $100,000, the average sales per store would be $10,000 ($100,000/10). This calculation can be used to compare the performance of different restaurant chains, as well as to identify potential areas of improvement.

The data contained in the foodindustry file can be expressed mathematically by calculating the average sales per store for each restaurant chain, which is done by dividing the total sales of all stores in the chain by the total number of stores in the chain.

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It is true, Mai can conclude that the diagonal WY bisects the angles ZWX and ZYX

Since Mai has proven triangles WYZ and WYX to be congruent by the SSS triangle Congruence Theorem, she can conclude that:

Diagonal WY bisects angles ZWX and ZYX because:

all corresponding parts of both triangles are congruent. (Option A).

If two triangles are proven to be congruent to each other, it means that all three pairs of corresponding sides and angles of both triangles are congruent and equal to each other.

Thus, since Mai has proven triangles WYZ and WYX to be congruent by the SSS Triangle Congruence Theorem, therefore, all corresponding parts of both triangles are congruent.

If this is so, then Mai can conclude that angles ZWX and ZYX are bisected by diagonal WY. (Option A is correct).

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There is a probability of 94/315 that the problem will be solved.

We are given that P has a chance of solving the problem of 2/7, Q has a chance of solving the problem of 4/7, and R has a chance of solving the problem of 4/9. To find the probability that the problem is solved, we need to consider all possible scenarios in which the problem can be solved.

The probability of this scenario is 2/7. If P solves the problem, then it does not matter whether Q or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 2/7.

The probability of this scenario is 4/7. If Q solves the problem, then it does not matter whether P or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/7.

The probability of this scenario is 4/9. If R solves the problem, then it does not matter whether P or Q solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/9.

The probability of this scenario is (1-2/7) * (1-4/7) * (1-4/9) = 3/35. This is because the probability of P not solving the problem is 1-2/7, the probability of Q not solving the problem is 1-4/7, and the probability of R not solving the problem is 1-4/9. To find the probability of none of them solving the problem, we multiply these probabilities together.

To find the probability of the problem being solved, we need to add the probabilities of all the scenarios in which the problem is solved. Therefore, the probability of the problem being solved is:

2/7 + 4/7 + 4/9 = 94/315

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Answer:

Step-by-step explanation:

The adjacent angle to the missing angle must sum to 180 degrees. So a=180-74=106 degrees. The sum of the three angles of the triangle must also sum to 180.

x+49+106=180

x+155=180

x=25

Answer:

106

Step-by-step explanation:

x+49=74

x=74-49=25

y=74=180

y=180-74=106

im sorry im late if u see this yw!

Answer:

Disculpe, ¿esta es la pregunta completa?

In geometry, an angle is formed when two rays are joined at their endpoints. These rays are called the sides or arms of the angle. Let us read about the different parts of an angle.

There are two main parts related to an angle - the arms and the vertex.

The two rays which join at a common point to form the angle are called the arms of the angle.

given:

angle= 90

let the smaller angle is x

largest angle= 2x

and the third angle = x+ 10

Now

x+ (x +10) +2x= 90

4x + 10= 90

4x= 80

x= 20

So,

smallest angle= 20

second angle= x+10= 30

largest angle= 2x= 2*20 = 40

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The translation of the question is:

A right angle is divided into three smaller angles. The largest of

all three are twice the size of the smallest. The remaining angle measures 10º more than the angle.

smaller. Determine the measure of each angle.

9514 1404 393

Answer:

  a.  Zachary is correct

  b. (-1)(-3) = 3 (Scott & Tina are wrong); (5)(-2) = -10 (Aaron is wrong); (1)(3) = 3

Step-by-step explanation:

a. An even number of minus signs in a product will mean the product is positive; an odd number will mean the product is negative. Zachary's observation is consistent with this rule. Zachary is correct.

We can show the others are incorrect using a counter-example.

  (-1)(-3) = 3 . . . . shows Scott, Aaron, and Tina are incorrect

Tina's rule is not consistent with the commutative property of multiplication.

Aaron's rule applies to addition, but not to multiplication.

__

b. The example used above is one example. Here are two more.

  (-1)(-3) = 3 . . . . . shows Zachary correct; Scott, Aaron, Tina incorrect

  (5)(-2) = -10 . . . . Aaron's own example shows him incorrect

  (1)(3) = 3 . . . . . . agrees with all students' observations

Answer:

A rectangle of 10.6 x 11.4 dimensions.

Step-by-step explanation:

(5.3*2)*(5.7*2)=5.3*4*5.7=10.6x11.4.

The polynomial fractions in terms of LCD are

a. 3/(x² + x - 2) =  3/(x - 1)(x + 2)

b. x/(x + 2) =  x/(x + 2)

Polynomial fractions are fractions based on polynomials.

a. We desire to write the fraction 3/(x² + x - 2) in terms of its LCD, we then  factorize the denominator. Thus,

x² + x - 2 = x² + 2x - x - 2

= x(x + 2) - (x + 2)

= (x - 1)(x + 2)

So,  3/(x² + x - 2) =  3/(x - 1)(x + 2)

b. We desire to write the fraction x/(x + 2) in terms of the LCD, we note that the denominator has only one factor. So, there is only one LCD which is x + 2

So, in terms of LCD

So,  x/(x + 2) =  x/(x + 2)

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The company cannot maximize profit because the cost of producing outweighs the revenue or profit made

The profit function is given by P(x) = R(x) - C(x), where R(x) is the revenue function and C(x) is the cost function:

P(x) = R(x) - C(x) = 180x - (65x + 13,800) = 115x - 13,800

To maximize the profit, we need to find the value of x that maximizes P(x). We can do this by finding the vertex of the parabola that represents the profit function. Since the coefficient of the x² term is negative (-115), the parabola opens downward and the vertex represents the maximum value of the function.

The x-coordinate of the vertex is given by x = -b/2a, where a and b are the coefficients of the x² and x terms, respectively. In this case, a = -115 and b = 0, so x = 0.

Therefore, the maximum profit occurs when x = 0, which means that the company should not produce any drones. This is because the cost of producing each drone (65x + 13,800) is greater than the revenue generated by selling each drone (180x) for all values of x.

In other words, the company will lose money for each drone produced, so it should not produce any at all.

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Answer:

m+6 \(\geq\) 30

Step-by-step explanation:

an inequlaity is a statment using greater than less than equal to ect.

fist m and 6 so

m+6 then the no less than so its greater than or equal to

\(\geq\)

30

The inequality for the word expression is m+6 ≥ 30.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

An inequality is a statement using greater than less than equal to it. The product of a number m and 6 is no less than 30.

The inequality can be written as:-

m+6 then no less than so it is greater than or equal to 30

m+6 ≥ 30

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m=30

1) Let's find out the slope of the line whose 2 of its points are (6,180) and (2,60)

2) So the slope or the measure of how steep is that line is m=30, since m= 120/4 = 30. And as m >0 this is an increasing line.

Answer:

1 the slope stay in school child

Answer: to number 1 :The area of the square increases by 96% to number 2:  increase in width = 50%

Step-by-step explanation

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

The simplified value of the given expression (2x^3 + 3x + 7) / (x^2 + x + 10) is: the quotient will be 2x - 2 and the remainder will be -15x + 27.

Let us solve the given algebraic expression by the long division method:

We are given the expression:

(2x^3 + 3x + 7) / (x^2 + x + 10)

We need to perform the division of the given algebraic expression:

x^2 + x + 10  ) 2x^3 + 3x + 7 ( 2x - 2

                       2x^3 + 2x^2 + 20x

                     -         -            -        

                         -2x^2 - 17x + 7

                         -2x^2 - 2x  - 20

                         +        +       +          

                                  -15x + 27

So,

quotient = 2x - 2

remainder =  -15x + 27

Thus, the simplified value of the given expression (2x^3 + 3x + 7) / (x^2 + x + 10) is: the quotient will be 2x - 2 and the remainder will be -15x + 27.

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