What is y = x2 + 4x -2? I need help

Answer; present value of $12,200 to be received 4 years from today, with a discount rate of 5 percent, is $10,027.51.

The present value of $12,200 to be received 4 years from today can be calculated using the formula for present value. The formula is:

Present Value = Future Value / (1 + Discount Rate)^n

Where:
- Future Value is the amount to be received in the future ($12,200 in this case)
- Discount Rate is the interest rate used to discount future cash flows (5 percent in this case)
- n is the number of periods (4 years in this case)

Plugging in the given values into the formula:

Present Value = $12,200 / (1 + 0.05)^4

Calculating the exponent first:

(1 + 0.05)^4 = 1.05^4 = 1.21550625

Dividing the future value by the calculated exponent:

Present Value = $12,200 / 1.21550625

Calculating the present value:

Present Value = $10,027.51

Therefore, the present value of $12,200 to be received 4 years from today, with a discount rate of 5 percent, is $10,027.51.

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The median weight of the players on the football team is approximately 160 lbs.

The box plot provides a visual summary of the data which shows the distribution of the weights of the players on the football team. The box plot consists of a box and two "whiskers" which represent the upper and lower quartiles of the data. The box is bounded by the upper quartile and lower quartile and the two whiskers represent the highest and lowest values in the data set, excluding any outliers. The median weight of the players is represented by the line in the middle of the box, which is approximately 160 lbs. The box plot is a useful tool for summarizing the data and provides a quick and easy way to visualize the distribution of the players' weights. The median weight of 160 lbs gives us an idea of the average weight of the players, which can be used to determine the overall strength of the team.

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The complete question is

a high school has 40 players on the football team. the summary of the players' weights is given in the box plot. what is the median weight of the players and find lbs.

Answer:

1 acre is equal to 43,560 square feet.

Step-by-step explanation:

Hope it helped!

The correct answer is not provided among the given choices.

The y-intercept of the function f(x) = 3x + 2 is (0, 2).

To find the y-intercept of the function f(x) = 3x + 2, we need to determine the value of y when x is equal to 0.

The y-intercept represents the point where the graph of the function intersects the y-axis.

Substituting x = 0 into the equation, we get:

f(0) = 3(0) + 2

f(0) = 0 + 2

f(0) = 2

So, when x = 0, the corresponding value of y is 2.

Therefore, the y-intercept of the function f(x) = 3x + 2 is (0, 2).

Among the given answer choices:

A. (9, 0) does not represent the y-intercept.

B. (0, 9) does not represent the y-intercept.

C. (0, -9) does not represent the y-intercept.

D. (9, -9) does not represent the y-intercept.

None of the given answer choices correctly represent the y-intercept of the function f(x) = 3x + 2, which is (0, 2).

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Answer:

hi this is my old account

Step-by-step explanation:

Answer:  x = 23

Step-by-step explanation:

The sum of interior angles in a triangles is equal to 180°, therefore:

(2x - 1) + 110 + 25 = 180

1. Get rid of parentheses.

 2x - 1 + 110 + 25 = 180  

2. Add the number up in the left side.

            2x  + 134 = 180

3. Subtract 134 from both sides.

                      2x = 46

4. Divide by 2 from both sides.

                      x = 23

Answer:

hese prime numbers are 2,3,5,7,11,13,17. To find the prime factorisation of 24, check if 2 divides into 24. It does, because 24=12*2

Step-by-step explanation:

Answer:

12/3=4

Step-by-step explanation:

it's 4, 2/3's stay the same. do the reciprocal on 1/6 which will be 6/1 and multiply

2/3(6/1)=12/3

and turn it to a mixed fractions and you would get 4

Let's denote the amount of the metal containing 20% nickel that needs to be combined as 'x' pounds.

The amount of nickel in the metal containing 20% nickel is 20% of 'x', which can be expressed as 0.2x pounds.

The amount of nickel in the metal containing 80% nickel is 80% of 6 pounds, which can be expressed as 0.8 * 6 = 4.8 pounds.

To form an alloy containing 60% nickel, the total amount of nickel in the alloy should be the sum of the nickel amounts in each metal. Therefore, we can set up the equation:

0.2x + 4.8 = 0.6(x + 6)

Simplifying and solving for 'x':

0.2x + 4.8 = 0.6x + 3.6

0.2x - 0.6x = 3.6 - 4.8

-0.4x = -1.2

x = -1.2 / -0.4

x = 3

Therefore, 3 pounds of the metal containing 20% nickel must be combined with 6 pounds of the metal containing 80% nickel to form an alloy containing 60% nickel.

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Multiply the numerator by numberator and denominator by denominator.

a/b multiplied by c/d is ac / bd.

Answer:

Multiply the top numbers

Multiply the bottom numbers

Simplify if needed

Example:

4/5×6/8= 24/40=3/5

According to the graph of the function, it is found that:

a) h(2) = 1.

b) h(x) = -3 when x = -4.

Looking at the graph, h(2) is given by the value of y when x = 2, that is, the value of the vertical axis when the horizontal axis is of 2. Hence, h(2) = 1.

Looking at the graph, it is given by x when y = -3, that is, the value of the horizontal axis when the vertical axis is of -3, hence, h(x) = -3 when x = -4.

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Answer:

PR

Step-by-step explanation:

The longest side is opposite the largest angle.

Answer: There are two equal sides

Step-by-step explanation:

Considering P and R are both 48 degrees and the only different angle is Q that would mean there are two equal sides.

Answer:

We can start by drawing a diagram of the situation. Let O be the center of both circles and let K be a point on the circumference of ⊙J such that JK = 12 cm. Let L be the point where JK intersects ⊙M, and let M be the point diametrically opposite L on ⊙M. Then, we have a right triangle JOK with legs JO = 32 cm and OK = 38 cm, and a right triangle LOM with legs LO = OM = r, where r is the radius of ⊙M. The hypotenuse of both triangles is the same and has length 64 cm.

We can use the Pythagorean theorem to find r. In the right triangle JOK, we have:

JO^2 + OK^2 = JK^2

32^2 + 38^2 = JK^2

JK = sqrt(32^2 + 38^2) ≈ 49.21 cm

In the right triangle LOM, we have:

LO^2 + OM^2 = LM^2

r^2 + r^2 = (2r)^2

2r^2 = LM^2

We know that LM = 2r + 12, since JK = 12 cm. Substituting this into the equation above, we get:

2r^2 = (2r + 12)^2

2r^2 = 4r^2 + 48r + 144

2r^2 - 4r^2 - 48r - 144 = 0

-r^2 - 24r - 72 = 0

r^2 + 24r + 72 = 0

We can solve for r using the quadratic formula:

r = (-24 ± sqrt(24^2 - 4*72)) / 2

r = (-24 ± sqrt(384)) / 2

r = -12 ± 4sqrt(6)

Since r is the radius of ⊙M, we want the positive value of r. Therefore:

r = -12 + 4sqrt(6) ≈ 4.03 cm

Finally, we can find LM:

LM = 2r + 12

LM = 2(4.03) + 12

LM ≈ 20.06 cm

Therefore, the length of LM is approximately 20.06 cm.

On solving the provided question we can say that the value of multiplication is x^34.

A math problem is a problem or question that requires the application of mathematical concepts and skills to solve.It is an extension of repeated addition. The operation is symbolized by the multiplication sign "x" or an asterisk (*), a dot (•) or the letter "m" . .

For example, if we multiply 4 and 5, the product will be 20 (4x5 = 20).

In addition, multiplication can also be represented using the distributive property, which states that for any three numbers a, b and c, a(b+c) = ab + ac.

In Multiplication, order of numbers doesn't matter, meaning a x b = b x a.

It's also commutative, meaning the order of numbers doesn't change the result.

Multiplication is the foundation for many other mathematical concepts, including algebra and geometry. It's an essential operation in many fields such as science, engineering, and finance.

And answer for above question is given by,

If each of the 5 students in a class has 3 apples, the total number of apples among the students is 3 apples/student * 5 students = 15 apples.

To find the product of the number of apples and the number of students, we multiply the number of apples (15) by the number of students (5) which is 15*5 = 75

So the product of the number of apples and the number of students is 75.

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∠IJG = ∠FGE (they are corresponding angle)

So, ∠FGE = 50°

Answer:

∠FGE is also 50°

Step-by-step explanation:

they are corresponding angles.

Step-by-step explanation:

check the pic

answer is 4

To construct a frequency distribution for the given data, we need to count the number of books falling into each class interval.
0-99 Number of books:
(40, 45, 45, 55, 55, 60, 60, 70, 70, 70, 70, 70, 70, 75, 75, 80, 80, 83, 85, 85) - 20 books
100-199 Number of books:
(100, 100, 100, 100, 107, 110, 140, 140) - 8 books
200-299 Number of books: None - 0 books
300-399 Number of books:
(300) - 1 book
400-499 Number of books: None - 0 books
500-599 Number of books:
(500) - 1 book
So, the frequency distribution is as follows:
0-99: 20 books
100-199: 8 books
200-299: 0 books
300-399: 1 book
400-499: 0 books
500-599: 1 book

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Answer:

(0,5/9)

Step-by-step explanation:

Answer:

-4.5

Step-by-step explanation:

-6, -5.5, -5, -4.5 (x), -4  

Answer:

b

Step-by-step explanation:

b

Answer:

270.99

Step-by-step explanation:

1/3×3.14×8^2

=66.99

9×11

=99

15×7

=105

66.99+99+105

=270.99

im not sure if im right

Answer: 80 degrees

Step-by-step explanation: The sum of the interior angles of a triangle is always 180 degrees. Therefore, the remaining interior angle is equal to 180-65-35 which equals to 80 degrees.

The remaining interior angle of the triangle is 80 degrees.

To find the remaining interior angle of a triangle when two of the interior angles are given as 65 degrees and 35 degrees, follow these steps:
Recall that the sum of the interior angles of a triangle always adds up to 180 degrees.
Add the two given angles: 65 degrees + 35 degrees = 100 degrees.
Subtract the sum of the given angles from 180 degrees to find the remaining angle: 180 degrees - 100 degrees = 80 degrees.
So, the remaining interior angle of the triangle is 80 degrees.

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Answer:

a)  14

b)  9

c)  10

Step-by-step explanation:

Given:

⇒ Number of Button As in one bag = 126 g ÷ 9 g = 14 buttons

Given:

⇒ Number of Button Bs in one bag = 126 g ÷ 14 g = 9 buttons

Given:

Let x = number of buttons of each type.

⇒ 9x+ 14x = 230

⇒ 23x = 230

⇒ x = 10

Therefore, there are 10 of each type of button in the box.

81 percentile of the given test is 482

The square root of the means of the squared deviations from the arithmetic mean is known as the standard deviation. Standard deviation is used in finance to quantify the risks associated with an investment instrument.

Given that the Marble Academy of Whoville conducts an annual test for all high school juniors one year, the scores on the test were approximately normally distributed with a mean of 420 and a standard deviation of 70

Here mean μ = 420 and Standard deviation σ = 70

We have find 81 percentile of this test = ?

The z score corresponding to the area 0.81 is

Z = 0.88  By standard normal table

X = μ + z σ

X = 420 + 0.88 x 70

= 420 + 62

= 482

Therefore 81 percentile of this test is 482

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Answer: d.

restricted lifestyle

Step-by-step explanation:

on ed

The option that is not an advantage of renting is;

D: Restricted lifestyle

When we rent a home, it means that we are paying the owner of the home some money periodically which could be yearly, monthly weekly e.t.c to make use the house.

Now, renting a home could be advantageous for different reasons and so let us look at each option given;

A) Ease of mobility; Sometimes we need to rent a home close to our place of work or business for ease of movement and as such this is an advantage.

B) Fewer responsibilities; Sometimes when we don't have too many responsibilities, renting a small home for a specific purpose could be very beneficial.

C) Lower Initial Costs; Renting a home is always cheaper initially than buying a home.

D) Restricted lifestyle; This is not an advantage of renting a home because renting a home is not meant to restrict your lifestyle but improve it.

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Given:

The graph of an inequality.

To find:

The inequality.

Solution:

In the given graph, the boundary line passes through the points (-3,3) and (0,1).

So, the equation of the boundary line is:

\(y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\)

\(y-3=\dfrac{1-3}{0-(-3)}(x-(-3))\)

\(y-3=\dfrac{-2}{3}(x+3)\)

\(y-3=-\dfrac{2}{3}(x)-\dfrac{2}{3}(3)\)

Adding 3 on both sides, we get

\(y=-\dfrac{2}{3}(x)-2+3\)

\(y=-\dfrac{2}{3}(x)+1\)

The boundary line is a solid line and the shaded region is above the boundary line. So, the sign of inequality must be \(\geq\) and the required inequality is:

\(y\geq -\dfrac{2}{3}(x)+1\)

Therefore, the correct option is B.

The area bounded above by f(x) = -x^2 - 10x - 16 and bounded below by the x-axis over the interval [-8, -2] is 1208/3 square units.

To determine the area bounded above by f(x) = -x^2 - 10x - 16 and bounded below by the x-axis over the interval [-8, -2], we need to find the definite integral of the absolute value of the function f(x) - g(x) over the given interval.

The absolute value of f(x) - g(x) is |(-x^2 - 10x - 16) - (2x + 16)| = |-x^2 - 12x - 32|. We need to find the integral of this absolute value function from x = -8 to x = -2.

∫[-8,-2] |-x^2 - 12x - 32| dx

To solve this integral, we need to break it up into two separate integrals based on the sign of the function.

For -8 ≤ x ≤ -4, the expression inside the absolute value becomes positive:

∫[-8,-4] (-x^2 - 12x - 32) dx

For -4 ≤ x ≤ -2, the expression inside the absolute value becomes negative:

∫[-4,-2] (x^2 + 12x + 32) dx

Evaluating the integrals separately, we get:

∫[-8,-4] (-x^2 - 12x - 32) dx = [(1/3)x^3 + 6x^2 + 32x] [-8,-4]

= [(-64/3) + 96 - 256] - [(64/3) + 96 + 128]

= -160 - (352/3)

= -480/3 - 352/3

= -832/3

∫[-4,-2] (x^2 + 12x + 32) dx = [(1/3)x^3 + 6x^2 + 32x] [-4,-2]

= [(-32/3) + 48 - 128] - [(-8/3) + 24 + 64]

= -112 - (40/3)

= -336/3 - 40/3

= -376/3

Now, to find the area, we take the absolute value of the sum of these two integrals:

Area = |(-832/3) + (-376/3)|

= |(-832 - 376)/3|

= |(-1208)/3|

= 1208/3

Therefore, the area bounded above by f(x) = -x^2 - 10x - 16 and bounded below by the x-axis over the interval [-8, -2] is 1208/3 square units.

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The integer solutions in the inequality expression given as − 2 ≤ x < 3 are -2, -1, 0, 1 and 2

Inequalities are expressions that do not have equal value

As a general rule, inequalities are represented by the unequal symbols

The inequality expression is given as

− 2 ≤ x < 3

The above inequality implies that

The values in the range or domain are values greater than -2, but less than 3

This means that

-2 is inclusive of the range, while 3 is not inclusive of the range

Using the above as a guide, the values in the range are

-2, -1, 0, 1 and 2

Hence, the integer solutions are -2, -1, 0, 1 and 2

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