A store's sales grow according to the recursive rule Pn = Pn-1 + 12000, with initial sales Po = 27000.(a) Calculate and P2.P1 = $P2 = $(b) Find an explicit formula for Pr.Pn-(c) Use the explicit formula to predict the store's sales in 10 years.P10 = $(d) When will the store's sales exceed $97,000? Round your answer to the nearest tenth of a year.Afteryears.Anetails

Answer: 14,605 pieces.

Step-by-step explanation:

In the second quarter, the company produced 795 pieces more than in the first quarter.

So, the total pieces produced in the second quarter can be calculated as:

6905 + 795 = 7700

The total pieces produced in the first semester (two quarters) can be calculated as:

6905 + 7700 = 14,605

Therefore, the company produced 14,605 pieces in the first semester.

The number of pieces the company produced in the first semester was 14,605 pieces.

The question asks to calculate how many pieces a company produced in the first semester, considering the production of two quarters.

In the first quarter, the company produced 6,905 pieces, as indicated in the question.

Already in the second quarter, the company produced 795 more pieces than in the first quarter, which means that the production in the second quarter was:

6,905 + 795 = 7,700 pieces.

To know the company's total production in the first semester, just add the productions of the two quarters:

6,905 + 7,700 = 14,605 pieces

Answer:

\(C \approx 91.732^{\circ}\)

Step-by-step explanation:

(This exercise is presented in Spanish and for that reason explanation will be held in such language)

El lado restante se determina por la Ley del Coseno:

\(a = \sqrt{b^{2}+c^{2}-2\cdot b\cdot c \cdot \cos A}\)

\(a = \sqrt{5.79^{2}+10.4^{2}-2\cdot (5.79)\cdot (10.4)\cdot \cos 54.46^{\circ}}\)

\(a \approx 8.466\)

Finalmente, el angulo C se halla por medio de la misma ley:

\(\cos C = - \frac{c^{2}-a^{2}-b^{2}}{2\cdot a \cdot b}\)

\(\cos C = -\frac{10.4^{2}-8.466^{2}-5.79^{2}}{2\cdot (8.466)\cdot (5.79)}\)

\(\cos C = -0.030\)

\(C \approx 91.732^{\circ}\)

A=P(1+r/n)^nt- Compound formula

P = $200

r = 4% = 0.04

n = 12 -Amount of months in a year

t = 3 years

A = 200(1 + 0.04/12)^12 × 3

A = 200(1 + 0.0033)^36

A = 200(1.0033)^36

A = $225

Answer:

225   will be the future value

Step-by-step explanation:

Monthly  ,  3 years = 36 periods

4%   = .04   in decimal     .04/12 = monthly period interest

future value = 200 ( 1 + .04/12)^36 = 225.45

  subtract the orignal deposit to get the interest gained

Answer:

1. D

2. Is A $0.87 for each song

Step-by-step explanation:

12 x $0.87 = $10.44

$10.44 + $5.04 = $15.48

I hope this helped you

Logically reasoning out the value to the question as $3092.

What is Logical Reasoning?

Quarter 1:

Tuition amount= $736

Fees= $37

Total amount= 736+37 = $773

Quarter 4:

Remaining=4

Total = 4X 773 = $3092

Logically reasoning out the value to the question as $3092.

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Therefore, the equation of the line that fits the given data points and goes through the red open point is approximately y = -0.0143x + 44.545.

In mathematics, slope is a measure of the steepness of a line. It is the ratio of the vertical change (rise) between two points on a line to the corresponding horizontal change (run) between those points. The slope of a line can be calculated by dividing the change in the y-coordinate of two points on the line by the change in the x-coordinate of those same points.

Here,

To find the slope of a line that fits the data points (1150,28) and (1500,23), we can use the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the two points.

Substituting the given values, we get:

slope = (23 - 28) / (1500 - 1150) = -5 / 350 = -0.0143 (rounded to 4 decimal places)

Therefore, the slope of the line that fits the given data points is approximately -0.0143. To fit the line to the red open point, we need to find the y-intercept of the line using the point-slope form of the equation of a line:

y - y1 = m(x - x1)

where (x1, y1) is the point (1150,28) and m is the slope we just calculated.

Substituting the values, we get:

y - 28 = -0.0143(x - 1150)

Expanding and simplifying, we get:

y = -0.0143x + 44.545

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Answer:

B

Step-by-step explanation:

A) (3+5+7+8+12)/5 = 35/5 = 7 => Incorrect

B) (2+3+6+13+16)/5 = 40/5 = 8 => Correct

C) (2+4+8+11+20)/5 = 45/5 = 9 => Incorrect

About 80 necklaces have more than 28 beads. Then the correct option is C.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and the standard deviation is 4 beads.

P(x > 28) = P(x - 24 / 4 > 28 - 24 / 4)

P(x > 28) = P(x - 24 / 4 > 1)

P(x > 28) = 1 - ∅1

P(x > 28) = 1 - 0.8413

P(x > 28) = 0.1587

Multiply both sides by 500, then we have

500 P(x > 28) = 0.1587 × 500

500 P(x > 28) = 79.35

500 P(x > 28) ≈ 80

About 80 necklaces have more than 28 beads. Then the correct option is C.

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The missing options are given below.

A. About 24 devices have more than 28 beads.

B. About 48 necklaces have more than 28 beads.

C. About 80 necklaces have more than 28 beads.

D. About 96 necklaces have more than 28 beads.

Answer:

Step-by-step explanation:

10 feet............................6 seconds

?......................................45 seconds

? feet=10*45/6=75 feet

75 feet in 45 seconds

Answer:

40000, 20000

Step-by-step explanation:

Let the amount a grandchild receives be \(x\). Then, the amount a child receives is \(2x\).

Thus, \(220000=2(2x)+7x=11x \implies x=20000\).

This means each grandchild gets $20,000 and each child gets $40,000.

The quadrilateral QRST is a trapezoid and not an isosceles trapezoid.

A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides.

Given that, a quadrilateral QRST has vertices Q(−1,0), R(2,2), S(5,0), T(−1,−4).  

We need tof verify that it is a trapezoid or not, we will find slopes of each side,

Slope = y₂-y₁ / x₂-x₁

Slope QR = 2-0 / 2+1 = 2/3

Slope RS = 0-2 / 5-2 = -2/3

Slope ST = -4-0 / -1-5 = 2/3

Slope QT = -4/0 = not defined

QR ║ ST

Since, two slope are equal therefore, the quadrilateral QRST is a trapezoid

Finding the distance between QS and TR

QS = √(5+1)²+(0-0)² = 6 units

TR = √(-1-2)²+(-4-2)² = √9+36 = √45 = 6.70

Since, QS ≠ TR, it is not an isosceles trapezoid.

Hence, the quadrilateral QRST is a trapezoid and not an isosceles trapezoid.

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There are two solutions for the equation |1/2x + 1| = 5: x = 8 and x = -12.

To determine the number of solutions for the equation |1/2x + 1| = 5, we need to consider the possible cases based on the absolute value expression.

Case 1: 1/2x + 1 = 5

In this case, we isolate the absolute value expression by subtracting 1 from both sides:

1/2x = 4

To solve for x, we multiply both sides by 2:

x = 8

This is one solution.

Case 2: 1/2x + 1 = -5

In this case, we isolate the absolute value expression by subtracting 1 from both sides:

1/2x = -6

To solve for x, we multiply both sides by 2:

x = -12

This is another solution.

Therefore, we have found two solutions for the equation |1/2x + 1| = 5: x = 8 and x = -12.

It's important to note that the absolute value function |1/2x + 1| can be equal to 5 for both positive and negative values of x, resulting in two solutions.

The absolute value function yields the positive magnitude of the expression inside the absolute value bars, so we consider both positive and negative solutions.  

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Answer:

Excise tax

Step-by-step explanation:

Correct me if I'm wrong <3

Answer:

0.40

Step-by-step explanation:

Change the divisor 1.8 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.

We then have the equations:

7.2 ÷ 18 = 0.40

and therefore:

0.72 ÷ 1.8 = 0.40

Both calculated to 2 decimal places.

Answer:

90

Step-by-step explanation:

Because angles opposite congruent angles in a triangle are congruent, the triangle is isosceles.

The altitude drawn from the vertex angle of an isosceles triangle is the perpendicular bisector to the side it is drawn.

So, y=90.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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Answer:

Length= 19

Width=16

Step-by-step explanation:

(16x2)+(19x2)=70

38+32=70

Answer:

5km

Step-by-step explanation:

A - her office

E - her home

AB = 1km; BC = CE = 4km

AE - the shortest disctance between her office and home.

ADE - right triangle, where AD = 4km, ED = 3 (EC - CD) =>

According to the Pythagorean theorem , we make up the equation:

AE = √ED^2 + AD^2 = √25 = 5km

Answer:

$3040 profit made

Step-by-step explanation:

$13×95=$1235 cost to make all the shoes they sold

$45×95=$4275 money she made

$4275-$1235=$3040 profit

We just have to substitute the values and get the answer.

Answer: you can maybe show them being trapped in the bathroom them come in with a sharp knife and splash or put ketchup on the part you stabbbed them

Step-by-step explanation:

The value of g(-4) is (-18)

A function is defined as a relation between a set of inputs having one output each. A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given function:

g(x)=5x+2

So, the value of g(-4)

g(-4) = 5(-4) +2

g(-4) = -20+2

g(-4) = -18

Hence, the value of g(-4) is -18.

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Answer:

-2x+y

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

if every 5th person has a vehicle, that means ever 1/5 has a vehicle. And in percent that’s 20%. So if we want to know the probability that somebody doesn’t have a car we subtract 20 from 100, and get 80. 80%

Answer:

its 86.06

Step-by-step explanation:

Because if you subtract 215.25 minus 60% thats what you get

Answer:

$12915

Step-by-step explanation:

The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.

1. Domain - the first element of a relation or function; also known as the input value.

3. Input - the x-value of a function.

6. Range - the second element of a relation or function; also known as the output value.

4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.

2. Output - a relation in which every input value has exactly one output value.

5. Function - the y-value of a function.

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Answer:

The whole thing is correct except for the 3rd and 4th column

Instead of "20, 24" it should be 20, 30 and instead of "36, 45" it should be 36, 50

Answer:

Step-by-step explanation:

Mike's total pay is the result of dividing a fixed amount of time between two jobs. The total hours and the total pay give us two relations that let us solve for the time at each job.

Let x represent the number of hours Mike works at Job B. Then 56-x is the number of hours he works at Job A. His total pay for both jobs is ...

  8x +7(56 -x) = 410

  x +392 = 410 . . . . . . simplify

  x = 18 . . . . . . . . . subtract 392

  56 -x = 38 . . . find Job A hours

Mike works 38 hours at Job A, and 18 hours at Job B.

__

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