A company buys a machine for $575,000 that depreciates at a rate of 30% per year. Find a formula for the value of the machine after n years. V(n)

Answer:

49 × 3.14 = 153.86

Step-by-step explanation:

1/3 × 3.14 × 49 × 3 = 153.86

Answer:

One solution, z=-5

Step-by-step explanation:

First, We simplify the right side.

Distribute -5, -5z-5=-2z+10

Now add +2z to both sides, −3z−5=10

Add 5 to both sides, now the equation stands as -3z=15

We can simplify this by dividing -3 to both sides, z=-5.

Now we know there is only one solution to this equation!

Answer:

\(7 \\ 5 \times {1.1}^{x - 1} \\8 \\ \frac{1}{9} = a \times {( - 3)}^{8 - 1} \\ a = \frac{1}{9} \times \frac{ - 1}{ {3}^{7} } = \frac{ - 1}{ {3}^{9} } \\ \\ \frac{ - 1}{ {3}^{9} } \times {( - 3)}^{x - 1} \)

Answer:

see explanation

Step-by-step explanation:

The nth term ( explicit rule ) of a geometric sequence is

\(a_{n}\) = a₁ \((r)^{n-1}\)

where a₁ is the first term and r the common ratio

(7)

\(a_{n}\) = 5 \((1.1)^{n-1}\)

(8)

Given a₈ = \(\frac{1}{9}\) , then

a₁ \((-3)^{7}\) = \(\frac{1}{9}\)

a₁ × - 2187 = \(\frac{1}{9}\) ( divide both sides by - 2187 )

a₁ = - \(\frac{1}{19683}\)

Then

\(a_{n}\) = - \(\frac{1}{19683}\) \((-3)^{n-1}\)

The midsegment of the trapezoid PQRS, which has sides P(0, 0), Q(0, 4), R(6, 4), & S(12, 0), is 11.07 units long.

A trapezoid or ellipse is an open, flat shape having three full sides and one pair of parallel sides. The equivalent sides of a trapezium are refer to as the bases, and the non-parallel sides have been known as the legs.

Half of the distances of the two adjacent sides, PQ and RS, make the total width of the trapezoid's middle section.

The vertices' points are designated as P(0, 0), Q(0, 4), R(6, 4), or S. (12, 0).

The sides PQ and RS's lengths are indicated as -.

The line segment PQ = √(x2 - x1)² + (y2 - y1)²

PQ = √(0 - 0)² + (4 - 0)²

PQ = √0² + (4)²

PQ = √0 + 16

PQ = √16

PQ = 4 units

The line segment RS = √(x2 - x1)² + (y2 - y1)²

RS = √(12 - 6)² + (0 - 4)²

RS = √(6)² + (-4)²

RS = √36 + 16

RS = √50

RS = 5√2 units

Adding the lengths of PQ & RS will reveal the mid section.

So, the equation will be -

Midsegment = PQ + RS

Midsegment = 4 + 5√2

Midsegment = 11.07 units

Midsegment length is 11.07 units as a result.

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Answer:

D. 5^6

Step-by-step explanation:

\(5^2*5^4\\5^2^+^4\\5^6\)

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

Answer:

Step-by-step explanation:

r =5sin i

r=5 cos i

divide

tan i=1=tan (π/4),tan(π+π/4)

or tan i=tan (π/4),tan(5π/4)

or  tan i=tan (2n π+π/4),tan (2nπ+5π/4)

or tan i=tan ((8n+1)π/4),tan((8n+5)π/4)

i=(8n+1)π/4,(8n+5)π/4

where n is an integer.

so we get infinite points of intersection.

Answer:

A  and b

Step-by-step explanation:

Be has an arrow towards the end signaling it moving outward just like GH

3.1.1 The basic property of operations used is the commutative property of multiplication.

3.1.2 The basic property of operations used is the additive inverse property.

3.1.3 The basic property of operations used is the associative property of addition.

3.1.1 The basic property of operations used in this calculation is the commutative property of multiplication. It states that the order of the factors in a multiplication problem can be rearranged without changing the product. In this case, the numbers 25 and 4 were swapped, resulting in the same product of 100.

3.1.2 The basic property of operations used in this calculation is the additive inverse property. It states that for any number, there exists an additive inverse such that when the number and its additive inverse are added together, the result is zero. In this case, adding 412 and its additive inverse (-412) results in zero.

3.1.3 The basic property of operations used in this calculation is the associative property of addition. It states that the grouping of numbers being added does not affect the sum. In this case, the numbers 25, 37, 20, 5, 30, and 7 were regrouped to facilitate easier mental addition. By grouping 25 and 37, and then grouping 20, 5, 30, and 7, the final sum of 62 is obtained, which is the same as adding all the numbers together in the original order.

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The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.

Expression in mathematics is a combination of symbols and numbers, often using an operation, such as addition, subtraction, multiplication, or division. It can represent a number, a variable, a function, or a mathematical statement. It can also represent a combination of these things. Expressions are used to describe relationships between numbers, variables, and mathematical concepts.

The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and there are 2 shelves in total. This expression can be used to calculate the total number of head wraps on the shelves by multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves). As such, the expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.

In conclusion, the expression 8x2 can be used to calculate the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total. By multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves), the total number of head wraps on the shelf can be found, resulting in a total of 16 head wraps.

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Complete questions as follows-
In which situation can the Expression
on 8×2 be used to find the total number of head wraps on the shelf?

Jenny's Average swimming speed is 1.5 km/h.

Jenny's average swimming speed as S (in km/h). We can then use the given information to set up equations and solve for S.

We know that Jenny swam for 1 hour, so the distance she swam is given by the formula: Distance = Speed * Time.

Thus, the distance she swam is S * 1 = S km.

Next, we know that her average running speed is 8 times her average swimming speed. Therefore, her average running speed is 8S km/h.

Since she ran for 1 hour, the distance she ran is 8S * 1 = 8S km.

Furthermore, we are given that her average bicycling speed is 2 times her average running speed. Therefore, her average bicycling speed is 2 * 8S = 16S km/h.

She biked for 1.75 hours, so the distance she biked is 16S * 1.75 = 28S km.

The total distance of the triathlon is the sum of the distances for each segment: Distance(swimming) + Distance(running) + Distance(biking) = 55.5 km.

Therefore, we can write the equation:

S + 8S + 28S = 55.5.

Simplifying the equation, we get:

37S = 55.5.

To solve for S, we divide both sides of the equation by 37:

S = 55.5 / 37 = 1.5.

Thus, Jenny's average swimming speed is 1.5 km/h.

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Answer:

3.3m

Step-by-step explanation:

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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Answer:

i think the answer is a to be honest

Step-by-step explanation:

Answer:

30,000

Step-by-step explanation:

hope this helps!!!

The mean score of a random student (YY) is 574.5. the standard deviation of the random student's score (YY) is 8.

Given:

- Each correct question is worth 10 points.

- Every student receives an additional 555 bonus points.

Let's calculate the mean and standard deviation of YY:

Mean of YY:

The mean score, denoted as μY, can be calculated using the mean of XX (μX) and the scoring scheme:

μY = μX * 10 + 555

Substituting the value of μX from the given information:

μY = 1.95 * 10 + 555

μY = 19.5 + 555

μY = 574.5

Therefore, the mean score of a random student (YY) is 574.5.

Standard Deviation of YY:

The standard deviation of YY, denoted as σY, can be calculated using the standard deviation of XX (σX) and the scoring scheme:

σY = σX * 10

Substituting the value of σX from the given information:

σY = 0.8 * 10

σY = 8

Therefore, the standard deviation of the random student's score (YY) is 8.

Complete question: Mr. Gupta gave his students a quiz with three questions on it. Let X represent the number of questions

that a randomly chosen student answered correctly. Here is the probability distribution of X along with

summary statistics:

0

1

2

2.

3

X = # correct

P(X)

0.05

0.20

0.50

0.25

Mean: Hex = 1.95

Standard deviation: Ox 0.8

Mr. Gupta decides to score the tests by giving 10 points for each correct question. He also plans to give

every student 5 additional bonus points. Let Y represent a random student's score.

What are the mean and standard deviation of Y?

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ANSWER:

The correct option is the following:

C. Find the intersection of the angle bisectors of each angle of the triangle,

EXPLANATION:

The point that equidistant is the point at which the three bisectors of the internal angles of the triangle intersect, and it is the center of the circumference inscribed in the triangle and equidistant from its three sides.

IMPORTANT NOTE:

Any point on the bisector of an angle of a triangle equidistant from the sides that define that angle.

Answer:  2,175 divided by 12 will give you 181.25.

Answer:

\(the \: porpcon \: intercept, \: p = (0, \: 5) \\ the \: drink \: intercept, \: p = (2.5, \: 0)\)

Step-by-step explanation:

\(let \: the \: price \: of \: each \: popcorn \: be : p \\ let \: the \: price \: of \: each \:drink \: be : d \\ \\ p = 5 \\ d = \frac{5}{2} = 2.5 \\ \\ explanation : \\ the \:p - intercept \: is \: the \: point \: were \: the \: line \: crosses \: the \: p - axis. \\ the \:d - intercept \: is \: the \: point \: were \: the \: line \: crosses \: the \: d - axis. \\ \\ \\ i \: believe \: with \: these \: information \:you \: can \: plot \: clear \: graph \: \)

Answer:

  $50,000

Step-by-step explanation:

The given relations can be used to write and solve an equation for the amount invested in stocks.

Let s represent the amount invested in stocks. Then (120,000-s) is the amount invested in bonds. The total earnings by the two investments were ...

  0.18s +0.12(120,000 -s) = 17,400

Simplifying the equation, we have ...

  0.06s +14,400 = 17,400

  0.06s = 3000 . . . . . . . . . . subtract 14,400

  s = 50,000 . . . . . . . . . . . . divide by 0.06

Neal invested $50,000 in stocks.

__

Additional comment

The amount invested in bonds was 70,000. The profit earned was ...

  0.18(50,000) +0.12(70,000) = 9,000 +8,400 = 17,400

The total cost of rents is $180.

In the given table,

The cost of skis per day  = $48

The cost of pole per day = $12

Now since given that,

Alveres rents for 3 days

Therefore,

The cost of skis for 3 days  = $48 x 3

                                             =  $144

The cost of pole for 3 days = $12 x 3

                                             = $36

To find the total cost of rental,

Adding the cost of 3 days of skis and cost of 3 days of poles,

Hence,

Total cost of rents = $144 + $36

                               = $180

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The equation of a circle that is congruent to circle C and is centered at point P is (x - 5)² + (y - 1)² = 5².

In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

Based on the information provided, we have the following parameters for the equation of this circle:

By substituting the given parameters, we have:

(x - h)² + (y - k)² = r²

(x - 5)² + (y - 1)² = 5²

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Answer:

it's third option the one who says 10 units up

Answer:

the answer for this is 1.88 u just subtract

By deriving the equation of a line using the slope intercept form, it is possible to find the equation that describes the relationship between X and Y values. The line's equation is 3x - 5y = 25.

A diagram or pictorial representation that organizes the depiction of data or values is known as a graph. The relationships between two or more items are frequently represented by the points on a graph.

Equation of line using slope intercept form is y = mx + b

where m is slope of the line and b is y-intercept

The slope intercept can be used to form equation of line using two points on the line.

According to the given question:

The two points which lie on the line are (x, y) = (5, -2) and (x', y') = (0, -5)

Slope of the line m = y' - y/x' - x

 = (-5 +2)/(0 - 5)

= 3/5

Now y intercept b = y - mx

 = -2 - (3/5. 5)   = -5

Therefore the required equation of line is y = 3/5x - 5

On simplifying further 3x - 5y = 25

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Answer:

The answer is 60

Step-by-step explanation:

How to find what percent of X is Y. Use the percentage formula: Y/X = P% Example: What percent of 60 is 12? Important! The result will always be in decimal form, not percentage form.

(i know this isn’t the clearest formula but its what i used)

Answer:

60

Step-by-step explanation:

To make this problem a little easier, think of 80% as 4/5.

(4/5 = 48/x) ~the unknown is represented by x

After cross multiplying, or "the butterfly method" you would get:

4x = 5(48)

4x = 240

240/4 = 60!

Answer:

v = 2.25 ft/s

Step-by-step explanation:

Given that,

A person is walking at a rate of 9 feet every 4 seconds.

We need to find their speed. We know that, the speed of total distance divided by time taken. So,

\(v=\dfrac{d}{t}\\\\v=\dfrac{9\ ft}{4\ s}\\\\v=2.25\ ft/s\)

So, the speed is 2.25 ft/s.

The average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.

To determine the average rate of change of the school's enrollment during the given time period, we can use the formula:

Average rate of change = (Change in enrollment) / (Change in time)

The change in enrollment is calculated by subtracting the initial enrollment from the final enrollment, while the change in time is calculated by subtracting the initial year from the final year.

Given that in 2004 there were 975 students enrolled and in 2009 there were 730 students enrolled, we can calculate the change in enrollment:

Change in enrollment = 730 - 975 = -245 students

The change in time can be calculated as:

Change in time = 2009 - 2004 = 5 years

Now we can calculate the average rate of change:

Average rate of change = (-245 students) / (5 years) = -49 students per year

Therefore, the average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.

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