Eva is 29 years old and has 2 children, ages 3 and 5. She makes $48,500 a year. Eva decides to buy a $400,000 10-year term policy and then renew the policy for another ten years afterwards. To renew the policy the insurance company charges an extra 40% to her premium rate. Given the options below, assess whether Eva made a wise decision.

The net amount due on the order after partial payment done is $8700

Given,

A retailer purchases some merchandise;

The invoice price for the merchandise = $19,500

Terms of sale for the merchandise = 5/15, n/45

On 15th day partial payment done = $10,800

We have to find the net amount due on the order after partial payment is done.

Here,

Net amount due = Invoice price - Partial payment

Net amount due = 19,500 - 10,800

Net amount due = 8700

That is,

The net amount due on the order after partial payment done is $8700

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option D is your answer ok

A system having ΔG equal to zero means that the system is at equilibrium at standard conditions. This is option c. In a chemical reaction, ΔG represents the change in Gibbs free energy, which is a measure of the energy available to do work.

When ΔG is equal to zero, it indicates that the system is balanced, with the forward and reverse reactions occurring at the same rate. At equilibrium, the concentrations of reactants and products remain constant over time. For example, consider the reaction A ⇌ B. Initially, if we have more A than B, the forward reaction will be favored until equilibrium is reached. At equilibrium, the rate of the forward reaction equals the rate of the reverse reaction, and the concentrations of A and B remain constant. In this case, ΔG is zero.

It is important to note that while a ΔG of zero indicates equilibrium, it does not provide information about whether the reaction is spontaneous or nonspontaneous. The spontaneity of a reaction is determined by the sign of ΔG. If ΔG is negative, the reaction is spontaneous, while a positive ΔG indicates a nonspontaneous reaction.

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The area of the circle that contains the sector is 546.5 in² (rounded to the nearest tenth)

From the question, we are to determine the area of the circle.

The area of a circle can be determined by using the formula,

\(A = \pi r^{2}\)

From the given information,

Area of the sector = 167 in²

Arc measure = 110°

Using the formula,

\(Area\ of\ sector = \frac{\theta}{360 ^\circ} \times \pi r^{2}\)

Then,

\(167= \frac{110 ^\circ}{360 ^\circ} \times \pi r^{2}\)

\(167= \frac{11}{36} \times \pi r^{2}\)

\(\pi r^{2} =\frac{167 \times 36}{11}\)

\(\pi r^{2} = 546.5 \ in^{2}\)

Since area of the circle, A, is given by πr²

Then,

A = 546.5 in²

Hence, the area of the circle that contains the sector is 546.5 in²

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Here is the complete question:

Find the area of the circle that contains sector. Round to the nearest tenth, if necessary. One sector has an area of 167 square inches and an arc measure of 110°.​

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Answer:

If we were to use 3.14 as pi . . .

43.96/3.14 = 14

14/2 = 7

7 x 7 = 49

49 x 3.14 = 153.86

153.86 would be the correct answer

But if we were to use pi. . .

615.1279985 would be the answer.

Answer:154 rounded to whole number

Step-by-step explanation:

C=pi ×d

43.96 = 3.14 ×d

d= 43.96÷3.14

d= 14

So radius is 7 (half of diameter)

Area=3.14×7×7

=153.86

All the solution of the blank words are given below.

A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.

Given:

Figure ABCD is the pre-image.

And A'B'C'D' is the image.

The line of the reflection is y = 0.

The coordinates of the output:

A'(3, -6), B;(1, -1), C'(11, - 1) and D'(6, -6)

Therefore, all the blank words are given above.

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Answer:

Step-by-step explanation:

METHOD 1

in centre it is split by 4, each angle is equal.

in a square angles add up to 360°

360/4=90°

∴∠DOC=90°

if you have to do more work or have toexplain more, or you dont get that way there is another method:

METHOD 2

since ABCD is a square it alladds up to 360°

so ∠A=B=C=D=90°

in triangle DOC anles add up to 180°

each diagonal cuts angleA,B,C and D in half

so in triangle DOC, ∠ODC=∠CDO=45

∠DOC=180-∠DOC-∠CDO       (or 180-(∠DOC+∠CDO)

∠DOC=180-45-45

∠DOC=90

The standard deviation of the costs is 37 Dhs

The given mean is 173 and 3% of costs exceed 243. We have to calculate the standard deviation of the cost. Therefore, let's first start by calculating the z-score as follows;z-score formula = `(x - μ) / σ`z-score = `243 - 173 / σ`z-score = `70 / σ`We need to find the standard deviation of the costs. Since the z-score formula includes standard deviation, we can first calculate the z-score and then use it to calculate the standard deviation.Using the z-table, we can find the z-score for 3% = -1.88-1.88 = (243 - 173) / σσ = (243 - 173) / -1.88σ = -70 / -1.88σ = 37.23≈ 37The standard deviation of the costs is 37 Dhs. Hence, the correct option is as follows.Option D is the correct option.

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The answer is 11(a - b), To solve this expression, we need to perform the subtraction operation on the terms inside the parentheses. First, we subtract the term "a + 6b" from "12a - 5b". This gives us 11a - 11b. Then, we can simplify this expression by combining the like terms 11a and -11b to get 11a - 11b = 11(a - b). This is the final answer.

Answer:   84 has 12 factors

Step-by-step explanation:

View imae attached

Answer:

The circumvented of a circle with radius 4 inches is 25.12 inches.

Step-by-step explanation:

The formula for Circimference is

\(A=2\pi r\)

You are given the radius as 4 inches.

You are told to use 3.14 for pi.

Plugging those in we get

\(A=2(3.14)(4)\)

That gives us 25.12 inches.

To find the area of the circle:

 ⇒ need to know the formula: \(\pi r^{2}\)

Let's calculate:

 \(Area = \pi (7)^2=49\pi =153.9380m^3\)

The problem asks us to round to the nearest hundreth:

\(Area = 153.94m^3\)

Answer: \(153.94m^3\)

Hope that helps!

(a) Another zero of R(x) is -3-5i.
(b) The maximum number of real zeros that polynomial  R(x) can have is 10.
(c) The maximum number of nonreal zeros that R(x) can have is 11.

Given that R(x) is a polynomial of degree 11 with real coefficients, we know that complex zeros occur in conjugate pairs. Since -3+5i is a zero of R(x), its conjugate -3-5i is also a zero. Therefore, another zero of R(x) is -3-5i.
The maximum number of real zeros that R(x) can have is equal to the degree of the polynomial, which is 11 in this case. However, since we already have 2 complex zeros (-3+5i and -3-5i), the maximum number of real zeros that remain is 10.
The maximum number of nonreal zeros (complex zeros) that R(x) can have is equal to the degree of the polynomial. Since the degree of R(x) is 11, the maximum number of nonreal zeros is 11.

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Answer:

x = 6

Step-by-step explanation:

-2 + x = 4

x = 4 + 2

x = 6

Thank you :-)

Answer:

Options (1), (2) and (5) are true.

Step-by-step explanation:

Option (1). m∠1 = (2x + 10)°

lines c and d are the parallel lines and t is a transverse.

Therefore, m∠1 = (2x + 10)° [corresponding angles]

This option is true.

Option (2). m∠3 = 87°

Since ∠3 and angle having measure equal to 87° are the vertical angles therefore, both the angles will be equal in measure.

This option is true.

Option (3). m∠2 = (2x + 10 + 5x - 1)°

m∠2 = (5x - 1)° [Since both the angles are interior alternate angles]

Therefore, this option is not true.  

Option (4). m∠1 + m∠2 = m∠3

(5x - 1) + (2x + 10) + 87 = 180° [Sum of liner angles at a point is 180°]

7x + 96 = 180

7x = 180 - 96

x = \(\frac{84}{7}\)

x = 12

Therefore, m∠1 = (2x + 10) = 34°

                 m∠2 = (5x - 1) = 59°

                 m∠3 = 87°

For the given relation,

m∠1 + m∠2 = m∠3

34 + 59 = 87

93 = 87

Not true.

Therefore, this option is not correct.

Option (5). 87 + 2x + 10 + 5x - 1 = 180°

True.

Since these angles are the linear angles so the sum of all angles = 180°

Therefore, the given option is correct.

Options (1), (2) and (5) are the true.

Answer:

answer 1 2 and 5

Step-by-step explanation:

right on edge

Answer:

y = 1.2x + 2

Step-by-step explanation:

slope = (8 - 2)/(5 - 0) = 6/5y-intercept = (0, 2)y = (6/5)x + 2y = 1.2x + 2

Answer:

y=1.5x +8

Step-by-step explanation:

Based on the provided information, the number of people who are not cell phone users are 52,394,000. Therefore, the correct answer is C.

The total number of people who live in the Tri-County area is 124,739,000 and 72,345,000 uses cell phone. To find the number of people who are NOT cell phone users, we need to subtract the number of cell phone users from the total number of people.

Here are the steps to find the answer:

1. Start with the total number of people: 124,739,000
2. Subtract the number of cell phone users: -72,345,000
3. The result is the number of people who are NOT cell phone users: 52,394,000

Therefore, the correct answer is C. 52,394,000.

Note: The question is incomplete. The complete question probably is: If the total number of people who live in the Tri-County area is 124,739,000 and 72, 345,000 uses cell phone, then how many people are NOT cell phone users? Responses A 26,34526,345 B 10,32110,321 C 52,394,000 52,394,000 D 72,345,00072,345,000 E 52,39452

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Answer:

100 miles is the answer

Step-by-step explanation:

3 inches = 20 miles

15/3 = 5

5 x 20

= 100 miles

========================================================

Work Shown:

(3 inches)/(20 miles) = (15 inches)/(x miles)

3/20 = 15/x

3*x = 20*15

3x = 300

x = 300/3

x = 100

Therefore, 15 inches on the map correspond to 100 miles in real life.

-------------------

We could approach the problem like this:

3 inches = 20 miles

5*(3 inches) = 5*(20 miles)

15 inches = 100 miles

In the second step, I multiplied both sides by 5 to turn the "3 inches" into "15 inches".

The magnitude of the resultant vector is 11.53 km/h in the South direction.

If we have given a vector v of initial point A and terminal point B

v = ai + bj

then the components form as;

AB = xi + yj

Here, xi and yj are the components of the vector.

Given that pedestrian walks at a rate of 6 km per hour east. The wind pushes him northwest at a rate of 13 km per hour.

Magnitude is always positive: √[x-coord2 + y-coord2]  

Magnitude R = √-6² + 13²

R = √169 - 36

R = √133

R =  11.53 km/h

The magnitude of the resultant vector is 11.53 km/h in the South direction.

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Answer:

1 + 5x

Step-by-step explanation:

Like terms are terms with the same variable parts.

Let's look at each term:

3    it has no variable

5x    it has the variable x

-2    it has no variable

The terms 3 and -2 have no variables, so their variable parts are the same. They are like terms and can be combined. The term 5x has the variable part x. There is no other term with the same variable part as 5x, so 5x cannot be combined with anything.

3 + 5x - 2 =

= 3 - 2 + 5x

= 1 + 5x

Answer:

by exterior angle sum property

(ext ang.F=ang G + ang H)

Step-by-step explanation:

therefore,

Answer:

21

Step-by-step explanation:

Let the three consecutive integers be;

    x , x + 1 and x + 2:

The sum of squares of the two smaller numbers:

  The two smaller numbers are x and x+ 1

Sum of their squares:

           x² + (x+1)²;

        x² + x² + 2x + 1 = 2x² + 2x + 1

It is 45 more than the square of the larger number:

    Larger number = x + 2

        (x+2)² = x² + 4x + 4

 45 more;

        x² + 4x + 4 + 45  = x² + 4x + 49

Both are equal:

 2x² + 2x + 1 =  x² + 4x + 49  

  2x² - x² + 2x - 4x + 1 - 49 = 0

      x² - 2x - 48 = 0

      x² - 6x + 8x - 48 = 0

      x(x - 6) + 8(x - 6) = 0

      (x + 8)(x-6) = 0

      x + 8 = 0 or x - 6 = 0

      x  = -8 or x = 6

We choose x = 6 because it makes the solution true as a positive integer

  Sum of the three numbers:

     x + x + 1 + x + 2 = 6 + 6 + 1 + 6 + 2 = 21

Answer:

$700

Step-by-step explanation:

She's willing to pay up to $3000.

She pays only $2300.

consumer surplus = $3000 - $2300 = $700

Answer:

$700

Step-by-step explanation:

Anna's consumer surplus is the difference between her willingness to pay and the price she actually paid, which is $3000 - $2300 = $700.

Therefore, the answer is $700.

The amount of rain the city received in July is r = 2.5 inches

Given data ,

City received 3/4 inch of rain on July 31

Now , it represents 3/10 of the total amount of rain this to received in July

So , the equation is represented as A

Now , the value of A is

( 3/10 )r = 3/4

Multiply by 10 on both sides , we get

3r = 30/4

Divide by 3 on both sides , we get

r = 30/12

r = 2.5 inches

Hence , the city received 2.5 inches of rain

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Answer:no he misses the rate he needs to run by 30m seconds

Step-by-step explanation:

45/5=9

Answer: No because in 5 miles he needs to run for 42.5 minutes or less

Answers: Equation: 52 = 7x

Octaves: x = 7.43

Explanation:

Let's call x the number of octaves in a piano

Then, every octave has 7 white keys. It means that the number of keys in a piano can be calculated as 7 times x or 7 times the number of octaves:

Number of keys = 7x

Then, the number of keys, in this case, is equal to 52, so we can replace the number of keys by 52 and get:

52 = 7x

Now, we can solve for x, dividing both sides by 7 as:

52/7 = 7x/7

7.43 = x

Therefore, the piano has 7.43 octaves

Answer:

to solve for k we will put y=6

Answer:

7x° + 11x° = 90°

(Required equation)

Step-by-step explanation:

7x° + 11x° = 90°

(complementary angles)

18x° = 90°

18x = 90

x = 90/18

x = 5

A. 24.12 days

B. 18.1%

C. 29868 years

Using the formula for exponential decay:

N(t) = N0 * (1/2)^(t/T)

We can rearrange this equation to solve for t:

t = T * log(0.125) / log(0.5)

simplifying, we get:

t = 8.04 * log(0.125) / log(0.5) ≈ 24.12 days

Therefore, it takes about 24.12 days for only 12.5% of the sample to remain.

Using the same formula for exponential decay

N(11) = N0 * (1/2)^(11/12.3)

Dividing N(11) by N0 and multiplying by 100 gives us the percentage remaining:

N(11)/N0 * 100 = (1/2)^(11/12.3) * 100 ≈ 18.1%

Therefore, about 18.1% of the tritium sample will remain after 11 years.

The rate of decay of C-14 is given by:

A(t) = A0 * (1/2)^(t/T)

t = T * log(A(t)/A0) / log(0.5)

Plugging in the values for A(t), A0, and T, we get:

t = 5730 * log(15.1/15.3) / log(0.5) ≈ 29868 years

Therefore, the age of the paper that the map is written on is about 29868 years.

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