Prior to makting deposits of $75 and $50,Marian had a balance of $ 102 in her checking account.How much must she deposits so that her balancewill be at least $300 and she can avoid service fee?

The number of pork sliders sold is given as follows:

24 pork sliders.

The number of pork sliders sold is obtained applying the proportions in the context of the problem.

The total number of pork sliders is given as follows:

120 pork sliders.

The percentage of pork sliders sold is given as follows:

20%. (proportion of 0.2).

Hence the amount sold is given as follows:

0.2 x 120 = 24 pork sliders.

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Evaluating the function in x = -1, we get:

H(-1) = 7

When we have a function:

y = f(x)

Evaluating the function in a value, like x = a gives:

y = f(a).

This means that we need to replace all the "x" in the equation by the number "a".

In this case:

H(x) = 6 - x

And we want to get:

H(-1)

So we need to replace the x by -1.

H(-1) = 6 - (-1) = 7

H(-1) = 7

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The solution to the system of inequalities in interval notation is [-2, 1].

Based on the information provided in the image below, we have the following system of inequalities;

-12 < 3x - 6

-3 ≥ 3x - 6

By adding 6 to both sides of the equation (inequality), we have;

-12 < 3x - 6

-12 + 6 < 3x - 6 + 6

-6 < 3x

-2 < x

x > -2 (flip)

-3 ≥ 3x - 6

-3 + 6 ≥ 3x - 6 + 6

3 ≥ 3x

1 ≥ x

x ≤ 1

Therefore, the solution to the system of inequalities is given by:

-2 < x ≤ 1

In interval notation, we have [-2, 1].

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer:

Its radius is 13 in

Hope this helps!

Step-by-step explanation:

π × \(r^{2}\) = 169π

π × 169 = 169π

π × ( \(\sqrt{169}\) \()^{2}\) = 169π

π × \((13 )^{2}\) = 169π

r = 13

The value of sin(tetha/2) is ±√½(1-8/√113)

In trigonometry, the half-angle formula is used to determine the exact values of the trigonometric ratios of angles such as 15° (half of the standard angle 30°), 22.5° (half of the standard angle 45°), and so on. If θ is an angle, then the half angle is represented by θ/2.

if tan(tetha) = 7/8

this means that 7 is the opposite and 8 is the adjacent

hyp² = opp² +adj²

hyp² = 49+64

hyp = √113

sin(tetha/2) = ±√1-cos(tetha))/2

= ±√1-(8/√113))/2

therefore the value is sin(tetha)/2

= ±√1-(8/√113))/2 or ±√½(1-8/√113)

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Answer:

see explanation

Step-by-step explanation:

132 feet / 3.3 feet per meter = 40 meters per second

15 seconds: 40 * 15 = 600 meters

The two items that together cost 34% of her budget have a summed cost of $170

From the question, we have the following parameters that can be used in our computation:

She has a budget of $500.

To calculate which two items together cost 34% of her budget, we use

Amount = 34% * Budget

substitute the known values in the above equation, so, we have the following representation

Amount = 34% * 500

Evaluate

Amount = 170

Hence, the two items would have a summed cost of $170

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The number of pens in stock is 31.

The ending inventory under LIFO is  $66.87.

The ending inventory under FIFO is $93.30

The ending inventory under the weighted average method is  $80.43.

The number of pencils left in stock is the difference between the total pens bought and the pens sold.

Pens in stock = pens bought - pens sold

(16 + 8 + 14 + 13 + 9 ) - 29

60 - 29 = 31

LIFO is an inventory method that assumes that the inventory bought last is the first to be sold. Ending inventory consists of earlier purchased inventory.

Ending inventory using LIFO = (16 X 2.12) + (8 X 2.15) + (7 x 2.25)

= $33.92 +$17.20 + $15.75 = $66.87

FIFO is an inventory method that assumes that the inventory bought the earliest is the first to be sold. Ending inventory consists of latest purchased inventory.

Ending inventory using FIFO = (13 x $3.20) + (14 x 3.05) + (4 x $2.25)

$41.60 + $42.7 +9 = $93.30

The ending inventory is the determined by determining the weighted average cost of inventory.

Weighted average = total value of inventory / number of inventory purchased

[ (2.15 x 8) + (9 x 2.25) + (14 x 3.05) + (13 x 3.20) + (16 x 2.12) ] / 60

= [17.2 + 20.25 + 42.7 + 41.6 + 33.92] / 60

= $155.67 / 60

= 2.59

Value of ending inventory = $2.59 x 31 = $80.43

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Solution

Step 1:

First find the first derivative and then equate it to zero to find x.

Step 2:

Substitute x = -2.5 to find the value of y

Final answer

Option B 27.75

The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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The arc length of PR: 16/3π unit. This can be solved by using the formulas of circle.

A circle is a form made up of all points on a plane that are at a specific distance from the centre point. In other words, it is the path a moving point in a plane takes to travel around a curve while maintaining a constant distance from another point. The group of points in a plane that are all equally far from one another is known as a circle. The radius and the centre both refer to the distance from the centre. The diameter is defined as the radius divided by two. A circle's angle of subtraction from its centre is a complete angle, which is equal to or radians.

In circle Z, m∠PZR = 2/3π

radius = 8 unit

length of the arc PR:

= 2/3π × 8

= 16/3 π unit

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Answer:

Step-by-step explanation:

You want the y-intercepts of the relation y -5 = -5/2(x +4) and the one shown in the graph.

The y-intercept of a function is its value when x=0. It is the y-value where the graph crosses the y-axis.

Setting x=0, we can solve for y:

  y -5 = -5/2(0 +4) = -10

  y = -5 . . . . . . . . add 5; this is the y-intercept

The y-intercept of Line A is -5.

The graph crosses the y-axis at y = -6.

The y-intercept of Line B is -6.

The y-intercept of Line A is greater than the y-intercept of Line B.

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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Answer:

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

Simplify in below steps:

10% of the time, the population mean will go below $1,500 or exceed $2,100.

Given that,

Assume that we have data on the annual spending on apparel of a sample of families. The probability that the population mean will fall below $1,500 or rise over $2,100 is ________% if we are 90% positive that the genuine population mean will be between $1,500 and $2,100.

We have to fill the blank.

We know that,

90% of the time, the real population mean will fall in the range of $1,500 and $2,100.

The genuine population mean will therefore most likely fall between $1,500 and $2,100, with a 90% probability.

So, the probability that it will fall outside of this range (i.e., be either less than $1,500 or beyond $2,100) is 100-90, or 10%.

Therefore, 10% of the time, the population mean will go below $1,500 or exceed $2,100.

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The set builder notation of the solution inequality represented on the number line is; {x: 3< x <=5}.

It follows from the task content that at point positive 3, there's an open circle which signifies that the number 3 is less than the solution.

And since the number line is shaded from positive 3 to 5, it follows that the maximum value in the solution set is 5.

The representation is therefore; {x: 3< x <=5}.

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On the number line, the solution inequality is represented by the notation x: 3=5, which is the set builder notation of the inequality.

This is further explained below.

Given the information provided in the job, it is logical to conclude that at point positive 3, there will be an open circle. This will indicate that the number 3 will be lower than the answer.

And since the shading on the number line goes from positive 3 to 5, it follows that the highest value that can be found in the set of solutions is 5.

As a result, the representation is written as:

"x: 3 x = 5."

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Using the trapezoidal rule with 5 ordinates, we approximate the integral [sin(x²+1) dx] over the interval [0,1] to be 0.5047 to 4 decimal places.

To approximate the integral [sin(x²+1) dx] using the trapezoidal rule with 5 ordinates, we can use the following formula:

∫[a,b]f(x)dx ≈ [(b-a)/2n][f(a) + 2f(a+h) + 2f(a+2h) + 2f(a+3h) + 2f(a+4h) + f(b)]

where n is the number of ordinates (in this case, n = 5), h = (b-a)/n is the interval width, and f(x) = sin(x²+1).

First, we need to find the interval [a,b] over which we want to integrate. Since no interval is given in the problem statement, we'll assume that we want to integrate over the interval [0,1].

Therefore, a = 0 and b = 1.

Next, we need to find h:

h = (b-a)/n = (1-0)/5 = 0.2

Now, we can apply the trapezoidal rule formula:

∫[0,1]sin(x²+1)dx ≈ [(1-0)/(2*5)][sin(0²+1) + 2sin(0.2²+1) + 2sin(0.4²+1) +             2sin(0.6²+1) + 2sin(0.8²+1) + sin(1²+1)]

≈ (1/10)[sin(1) + 2sin(0.05²+1) + 2sin(0.15²+1) + 2sin(0.35²+1) + 2sin(0.65²+1) + sin(2)]

≈ (1/10)[0.8415 + 2sin(1.0025) + 2sin(1.0225) + 2sin(1.1225) + 2sin(1.4225) + 1.5794]

≈ 0.5047

Therefore, using the trapezoidal rule with 5 ordinates, we approximate the integral [sin(x²+1) dx] over the interval [0,1] to be 0.5047 to 4 decimal places.

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Answer:

x = -8/3, y = 6

Step-by-step explanation:

3x+2y=4   so x = (4-2y)/3

6x+3y=2

substiute x into the second equation

6((4-2y)/3) +3y = 2

2(4-2y) + 3y = 2

8 - 4y + 3y = 2

-y = -6

y = 6

Replace y into the first equation

3x + 2 (6) = 4

3x +12 = 4

3x = -8

x = -8/3

If you are an apprentice plumber earning an annual salary of $21,060, and you lay claim to 3 allowances, the amount that will be withheld from your weekly pay for federal income tax is: $7.

To obtain the correct amount to be paid, we need to use the table provided by the IRS. First note that there are 52 weeks in a year, so we need to divide your annual earnings by the total number of weeks in a year.

So, 21060/52 = $405

When we look at the table to see the chart for a person who has a weekly wage of 400 - 410, and lays claim to three allowances, we will see that the right amount that such an individual is meant to pay is $7.

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Answer:

104

Step-by-step explanation:

Find how many homes is 1% of the neighborhood by dividing 91 by 87.5

91/87.5 = 1.04

Multiply 100 to 1.04 to get 100% of all the homes in the neighborhood

1.04*100 = 104

There are 104 homes in the neighborhood.

Its C the graph has a maximum value at (0,5)

The graph has the shape of a parabola with vertex (maximum value) at point (0, 5)

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the quadratic function y = -3x² + 5:

The graph has the shape of a parabola with vertex (maximum value) at point (0, 5).

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The actual annual value of this job to Karla is 33000.

What are arithmetic operations?

Arithmetic operations is a branch of mathematics that studies numbers and the operations on numbers that are useful in all other branches of mathematics. It consists primarily of operations like addition, subtraction, multiplication, and division.

We have,

the job will pay 2400 per month,

if the full cost of the medical insurance is 450 a month and Karla plans to contribute the full 1500 every year tpa retirement plan,

the actual annual value of this job to Karla is:

2400 per month

annual value  = 2400 * 12 = 28,800

the medical insurance is 450 a month

half the cost of medical insurance is  225 a month

annual value  = 225  * 12 = 2700

the full 1500 every year tpa retirement plan,

So, the total value is:

= 28,800 + 2700 + 1500

= 33000

Hence,  the actual annual value of this job to Karla is 33000.

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Step-by-step explanation:

75 = 3 x 5 x 5    in prime factorization

Answer:

Step-by-step explanation:

3x5x5

The "ordered-pair" which is the solution to the equation "5x + 7y = 6" is : (d) (4, -2).

The equation for which we have to find the solutions is 5x + 7y = 6,

We substitute the values of x and y into the equation to check if it holds true for each ordered pair.

Option (a) : the point is : (1, -1),

⇒ 5(1) + 7(-1) = 5 - 7 = -2 ≠ 6.

Option (b) : the point is : (2, 1),

⇒ 5(2) + 7(1) = 10 + 7 = 17 ≠ 6.

Option (c) : the point is : (3, 3),

⇒ 5(3) + 7(3) = 15 + 21 = 36 ≠ 6.

Option (d) : the point is : (4, -2),

⇒ 5(4) + 7(-2) = 20 - 14 = 6 (Correct),

Therefore, The correct answer is (d) (4, -2), because it is the only ordered pair that satisfies the equation 5x + 7y = 6.

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The given question is incomplete, the complete question is

Which ordered pairs are solutions to the equation 5x+7y=6?

(a) (1, -1)

(b) (2, 1)

(c) (3, 3)

(d) (4, -2).