PLEASE HELP ME THERE IS A PICTURE!!!!!!​

Answer:

$155.71

Step-by-step explanation:

Sales Geet sells televisions. He earns a fixed amount for each television and an additional $15 if the buyer gets an extended warranty. If Geet sells 17 televisions with extended​ warranties, he earns $1,105. How much is the fixed amount Geet earns for each​ television?

Let the fixed amount Geet earns for each television = x

Hence:

$1105 = $15 + 7x

Collect like terms

$1105 - $15 = 7x

$1090 = 7x

x = $1090/7

x = $155.71428571

Approximately = $155.71

Therefore, the amount he earns for each Television = $155.71

The ordered pair of the force of the parabola will be (2, -1).

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

A parabola has a directrix of y = - 3 and a vertex at (2,1).

Since the directrix is upward, utilize the condition of a parabola that opens up or down.

(x − h)² = 4p(y − k)

The separation from the concentration to the vertex and from the vertex to the directrix is |p|. Deduct the worth of the directrix from the y direction of the vertex to track down p.

p = − 1 + 1 / 2

p = − 1/2

Then the equation is given as,

(x − 2)² = 4(1/2)(y + 1)

(x − 2)² = 2(y + 1)

The ordered pair of the force of the parabola will be (2, -1).

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To find the first few coefficients in the power series for the function f(x) = x * ln(1+x), we will use the Taylor series expansion. The Taylor series for ln(1+x) is:

ln(1+x) = x - (x^2)/2 + (x^3)/3 - (x^4)/4 + ...

Now, multiply each term by x:

x * ln(1+x) = x^2 - (x^3)/2 + (x^4)/3 - (x^5)/4 + ...

The first few coefficients in the power series are: 0 (constant term), 0 (x term), 1 (x^2 term), -1/2 (x^3 term), 1/3 (x^4 term), and -1/4 (x^5 term).

For the radius of convergence, we'll use the Ratio Test. Observe the absolute value of the ratio of consecutive terms:

lim (n -> infinity) | (a_(n+1)/a_n) | = lim (n -> infinity) | (x^(n+2) * (n+1))/((n+2) * x^(n+1)) |

This simplifies to:

lim (n -> infinity) | x * (n+1)/(n+2) |

To converge, the limit must be less than 1:

|x * (n+1)/(n+2)| < 1

As n approaches infinity, the expression becomes |x|, so:

|x| < 1

Thus, the radius of convergence for the series is 1.

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The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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Solution:

Simplify the expression and solve.

The solution to this algebraic problem is -3b³ + 10 + 3ab - a​.

Answer:

$31.44

Step-by-step explanation:

$125.76 ÷ 4 = $31.44

Lauren $31.44

Friend 1 $31.44

Friend 2 $31.44

Friend 3 $31.44

+ ________

$125.76

Answer:

70% are propane grills.

Step-by-step explanation:

First, we will find out how many grills are propane. We will add all of the grills that are not propane together.

10 + 5 = 15

And subtract that from the total amount

50 - 15 = 35

Then we will divide the amount of propane grills by the total amount

35 / 50 = 0.7

And multiply that by 100 to get our percentage.

0.7 * 100 = 70

Answer:

See explanation below

Step-by-step explanation:

A system of linear equations is a system that is formed when you have two or more variables, for example:

\(x=2y+z\\3y-4x=7y+2z\\2y+z=4x+3y\)

In this case, we have 3 equations with 3 variables in total (x, y and z). Thus, we would need to solve a system of linear equations (they are linear because none of the variables have exponents).

On the other side, a single linear equation has only one variable that we need to find, for example:

\(3x=\frac{5}{3}\)

In this case we would just have to solve for x

\(3x=\frac{5}{3} \\9x=5\\x=\frac{5}{9}\)

Thus, we need to solve a system of linear equations when we have more than one variable (and more than one equations) as opposed to when we have just one variable and a single equation (single linear equation)

Answer:

The correct option is;

The data for suitcase 1 have an outlier but the data for suitcase 2 does not

Step-by-step explanation:

Range of a box plot

Interquartile range (IQR) for bot suitcases we have

Here we have for suitcase 1

IQR = Q₃ - Q₁ = 12 - 8 = 4

For suitcase 2

IQR = Q₃ - Q₁ = 18 - 5 = 13

Lower outlier = Q₁ - 1.5×IQR

Higher outlier = Q₃ + 1.5×IQR

For suitcase 1 we have;

Lower outlier = 8 - 1.5×4 = 2 (No lower outlier)

Higher outlier = 12 + 1.5×4 = 18

Hence, whereby the whiskers range from 4 to 30, suitcase 1 has a higher outlier

For suitcase 2 we have;

Lower outlier = 5 - 1.5×13 = -14.5  (No lower outlier)

Higher outlier = 18 + 1.5×13 = 37.5

Hence, whereby the whiskers range from 2 to 20, suitcase 2 has no outlier.

Therefore, the correct option is the data for suitcase 1 have an outlier but the data for suitcase 2 does not.

Answer:A

Step-by-step explanation:

took the test

The best measure of variability is the standard deviation.

Player A is the most consistent, with an IQR of 1.5.

Standard deviation is defined as the square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

The table shows the number of goals made by two hockey players.

Player A:

2, 3, 1, 3, 2, 2, 1, 3, 6

Using  a statistics calculator, we have:

Mean = 2.56

S.D. = 1.51

Player B:

1, 4, 5, 1, 2, 4, 5, 5, 11

S.D. = 3.03

The best measure of variability is the standard deviation.

Player A is the most consistent, with an IQR of 1.5.

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Step-by-step explanation:

let's use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

so,

5.4/sin(K/2) = 12.3/sin(M1)

8.2/sin(K/2) = x/sin(M2)

M1 + M2 = 180 (as complementary angles or linear pair)

M2 = 180 - M1

sin(K/2) = 5.4×sin(M1)/12.3

sin(K/2) = 8.2×sin(M2)/x

therefore

5.4×sin(M1)/12.3 = 8.2×sin(180 - M1)/x

since sin(a) = sin(180 - a)

5.4×sin(M1)/12.3 = 8.2×sin(M1)/x

and then

5.4/12.3 = 8.2/x

x×5.4 = 8.2×12.3

x = 8.2×12.3/5.4 = 18.67777777... ≈ 18.7

Step-by-step explanation:Step-by-step explanation:

let's use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

so,

5.4/sin(K/2) = 12.3/sin(M1)

8.2/sin(K/2) = x/sin(M2)

M1 + M2 = 180 (as complementary angles or linear pair)

M2 = 180 - M1

Answer: 2

Step-by-step explanation:

By using the approximation of 62,500 inches to the mile, you can simplify and expedite various calculations involving distances and conversions between inches and miles, providing a convenient tool for numerical analysis and problem-solving

The approximation of 62,500 inches to the mile is commonly used in various calculations, especially in scenarios where conversions between inches and miles are involved. This approximation simplifies the conversion process and allows for easier calculations.

For example, if you need to convert a distance from miles to inches, you can simply multiply the number of miles by 62,500 to obtain the equivalent distance in inches. Conversely, if you have a measurement in inches and want to convert it to miles, you divide the number of inches by 62,500 to get the distance in miles.

Additionally, this approximation can be useful in other applications, such as determining the number of inches in a given number of miles, or calculating the length of a specific distance in miles based on its measurement in inches.

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.

Answer:

x=8

Step-by-step explanation:

4(x+11)=76

4x + 4(11) = 76

4x + 44 = 76

4x = 76-44

4x = 32

x = 32/4

x = 8

The total perimeter will be 4x^+17 and length be 22.76 cm

As per the data given in the questions,

We have, the shape of the sandwich be rectangular.

We know that, perimeter of the rectangle can be determined by using formula: 2(l+b),

where, l = length of the rectangle

and, b = breadth of the rectangle

The expression for the perimeter of the sandwich would be:

2 (2x^2 + 9) + 2 (2x^2 + 8)

= 4x^2 + 26

Now for finding the length of the crust,

we will put the value of x=1.2,

So, the value of the approximate length of the crust would be:

=4x^2 + 26

= 4 * 1.2^2 + 26

= 22.76 centimetres.

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Answer:

can you please add a picture so i can compleat the problem

Step-by-step explanation:

There were 682 children's and 332 adults were admitted when the entrance charge to an park is $4 for adults and $1.50 for children.

Given that,

The entrance charge to an amusement park is $4 for adults and $1.50 for children. 351 persons visited the park on one particular day, and 1014 dollars in entrance fees were collected.

We have to find how many people and kids were allowed inside.

We know that,

We get equations as,

1.5x+4y=351 ----->equation(1)

The other equation is

x+y=1014 ----->equation(2)

Take the equation(2)

x+y=1014

y=1014-x

Substitute y=1014-x in equation(1)

1.5x+4y=351

1.5x+4(1014-x)=351

1.5x+2056-4x=351

1.5x-4x=351-2056

-2.5x=-1705

2.5x=1705

x=1705/2.5

x=682

Substitute x=682 in equation(2)

y=1014-x

y=1014-682

y=332

Therefore, There were 682 children's and 332 adults were admitted when the entrance charge to an amusement park is $4 for adults and $1.50 for children.

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a. Present value of $400 per year for 14 years at 14%: $2,702.83
b. Present value of $200 per year for 7 years at 7%: $1,155.54
c. Present value of $400 per year for 7 years at 0%: $2,800
d. Present value of $400 per year for 14 years at 14% (annuity due): $2,943.07
  Present value of $200 per year for 7 years at 7% (annuity due): $1,233.24
  Present value of $400 per year for 7 years at 0% (annuity due): $2,800

To find the present values of the ordinary annuities, we can use the formula for the present value of an annuity:

PV = PMT * [(1 - (1 + r)^(-n)) / r]
Where:
PV = Present value
PMT = Payment per period
r = Interest rate per period
n = Number of periods

a. $400 per year for 14 years at 14%:
PV = $400 * [(1 - (1 + 0.14)^(-14)) / 0.14]

≈ $2,702.83

b. $200 per year for 7 years at 7%:
PV = $200 * [(1 - (1 + 0.07)^(-7)) / 0.07]

≈ $1,155.54

c. $400 per year for 7 years at 0%:
Since the interest rate is 0%, the present value is simply the total amount of payments over the 7 years:
PV = $400 * 7

= $2,800

d. Reworking previous parts assuming they are annuities due:
For annuities due, we need to adjust the formula by multiplying it by (1 + r):

a. Present value of $400 per year for 14 years at 14%:
PV = $400 * [(1 - (1 + 0.14)^(-14)) / 0.14] * (1 + 0.14)

≈ $2,943.07

b. Present value of $200 per year for 7 years at 7%:
PV = $200 * [(1 - (1 + 0.07)^(-7)) / 0.07] * (1 + 0.07)

≈ $1,233.24

c. Present value of $400 per year for 7 years at 0%:
Since the interest rate is 0%, the present value remains the same:
PV = $400 * 7

= $2,800

In conclusion:
a. Present value of $400 per year for 14 years at 14%: $2,702.83
b. Present value of $200 per year for 7 years at 7%: $1,155.54
c. Present value of $400 per year for 7 years at 0%: $2,800
d. Present value of $400 per year for 14 years at 14% (annuity due): $2,943.07
  Present value of $200 per year for 7 years at 7% (annuity due): $1,233.24
  Present value of $400 per year for 7 years at 0% (annuity due): $2,800

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True. A vector in space can be described by specifying its magnitude and its direction angles. The magnitude of a vector represents its length or size, while the direction angles determine the orientation of the vector with respect to a reference axis system.

In three-dimensional space, a vector can be decomposed into its components along the x, y, and z axes. By using trigonometric functions, the direction angles of the vector can be determined. The direction angles are typically measured with respect to the positive x-axis, the positive y-axis, and the positive z-axis.

Once the magnitude and direction angles of a vector are known, the vector can be fully described. This description allows for precise calculations and analysis of vector quantities, such as displacement, velocity, and force, in various physical and mathematical contexts.

It's worth noting that there are alternative ways to describe vectors, such as using Cartesian coordinates or unit vectors. However, specifying the magnitude and direction angles provides a convenient and comprehensive representation of a vector in space.

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Answer:

the answer is 2

Step-by-step explanation:

Answer:

Pleae see the attached graph.

Step-by-step explanation:

The values of x are graphed for their respective valid regions, as defined in the question.

a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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Answer:

\(First~condition:\\Suppose~that~the~first~house~costs~4x~and~the~second~house~costs~3x.\\Given,~Cost~of~the~second~house=Rs. 420000\\or, 3x=Rs. 420000\\or, x = Rs. 140000\\Cost~of~the~first~house=4x= 4(140000) = Rs. 560000\\So, ~the~cost~of~first~house~is~Rs.560000\\Second~part:\\Now,~the~cost~of~the~first~house = Rs.(560000+70000) = Rs. 630000\\But,~the~cost~of~second~house~is~still~Rs. 420000\\Their~ratio= 630000:420000 = \frac{630000}{420000}=\frac{3}{2}=3:2.\\\)

So, the ratio of their cost is 3:2.

Answer:

62

Step-by-step explanation:

96 divided by 2 = 48

48 - 14 = 34

48 + 14 = 62

34 + 62 = 96 (total cars washed)

You're welcome

Answer:

y = -2x - 3

Step-by-step explanation:

Two lines that are perpendicular to one another share the attribute that the product of their slopes is equal to -1.

Therefore, to find the line perpendicular to FG's slope, we'll find FG's slope and then use the said attribute.

We're given two points: G(9, 8) and F(-5, 1).

\(m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m_{FG} = \frac{y_G - y_F}{x_G - x_F} = \frac{8 - 1}{9 - (-5)} = \frac7{14} = \frac12\)

Using the attribute mentioned above, we know the following:

\(m_{FG} \cdot m_{\perp FG} = -1\\\frac12 \cdot m_{\perp FG} = -1\\m_{\perp FG} = -2\)

We don't know where this line intercepts FG, therefore, we can't find its equation. However, the answers only show one line with a slope of -2, therefore the equation of the line perpendicular to FG is y = -2x - 3.

Answer:

43.96 cm

Step-by-step explanation:

Given

Radius ( r ) = 7 cm

To find : Circumference of Circle

Formula

Circumference of Circle = 2πr

Note

The Value of π = 3.14

Circumference of Circle

= 2πr

= 2 × 3.14 × 7

= 43.96 cm

Answer:

Not Rounded: 43.9822971503

Rounded: 44

Step-by-step explanation:

r= radius

2\(\pi\)r

2\(\pi\)(7)

= 43.9822971503

when rotating a point 270° counterclockwise, any point (x,y) becomes (y,-x)

So,

L(-1,5), M( -1, 7), and N(-8,5)

L (-1,5) ⇒ L' (5,1)

M (-1,7) ⇒ M' (7,1)

N(5,1) ⇒ N'(5,8)

Correct option: C. L(5, 1), M(7, 1), N(5, 8)

Answer: y = x +8

Step-by-step explanation:

Answer:

48 and 32

Step-by-step explanation:

both numbers get rounded by 8 going up and down rounding it to 40

a. Statement and Proof of Fermat's Little Theorem:

Fermat's Little Theorem concerns primes and integers in number theory.

Fermat's Little Theorem asserts that when a positive integer a, which is not divisible by a prime number p, is raised to the power of (p-1), the resultant remainder upon division by p will be 1.

So it will be: \(\\ a ^(^p^-^1) = 1 (mod p)\)

The Evidence has been gathered to substantiate this claim is:

If a is divisible by p, then a can be written as the product of p and a positive integer k. Expressing the value of a to the power of p minus one in relation to k and p can be achieved through utilization of the equation (k multiplied by p) raised to the power of p minus one.

By performing a simplification of the given expression, we can obtain the outcome where "a" to the power of "p" minus one is equivalent to "k" to the power of "p" minus one times "p" to the power of "p" minus one.

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