I need help on this. Can you help me?

Answer:

55K+60K+65K=184K

100% - 8.25%=91.75%

184000x91.75%=168820

Ans:168K

Answer:

Step-by-step explanation:

To determine the value of the offer today, we need to calculate the present value of all the cash flows using a discount rate of 8.25%.

First, let's calculate the present value of the salary payments.

PV(year 1 salary) = R55 000 / (1 + 0.0825)^1 = R50 760.87

PV(year 2 salary) = R60 000 / (1 + 0.0825)^2 = R51 423.95

PV(year 3 salary) = R65 000 / (1 + 0.0825)^3 = R52 110.69

Next, let's calculate the present value of the starting bonus.

PV(starting bonus) = R4 500 / (1 + 0.0825)^0 = R4 500

Finally, we can add up all the present values to find the total present value of the offer:

PV(total offer) = PV(year 1 salary) + PV(year 2 salary) + PV(year 3 salary) + PV(starting bonus)

PV(total offer) = R50 760.87 + R51 423.95 + R52 110.69 + R4 500

PV(total offer) = R158 795.51

Therefore, the offer is worth R158 795.51 to you today at a discount rate of 8.25%.

Answer: The building is approximately 16.6 feet tall.

Step-by-step explanation:

Use Pythagorean theorem (a²+b²=c²) to solve this.

We know that the ladder is 26 feet long so that would be our hypotenuse (c²). and the distance between the ladder and the building is 20 feet. So, this is the base. The remaining side is x.

Your equation would be: 20²+x²=26²

subtract 20² from 26² --> 276=x²

then take the square root --> 16.6=x

Guitar tabs are generally considered easier to read than regular musical notation because they are written in a language that most guitarists are familiar with.

Guitar is a stringed musical instrument played with the fingers or a pick. It is one of the most popular instruments in the world and is widely used in genres such as rock, jazz, blues, country, folk, and classical.

Unlike traditional notation, guitar tabs do not require any knowledge of music theory to understand. Instead, they are laid out in a straightforward format that conveys the pitch of a note and the timing of when it should be played. This makes it easier for most guitarists to quickly learn a new piece of music without having to spend time studying the complexities of traditional notation. Additionally, guitar tabs also offer an easy way to determine the fingering of certain chords or techniques.
While guitar tabs are easier to read than traditional notation, they do have some drawbacks. For one, guitar tabs cannot convey the same level of detail about a piece of music as traditional notation can. Additionally, it can be difficult for some to distinguish between rhythm and lead parts when reading guitar tabs. Finally, guitar tabs do not easily convey the dynamics or expression of a piece of music, which are important to consider when playing music.

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Answer:

first name is pentagon

second is decagon

third is heptagon

Step-by-step explanation:

first is irregular

second is regular

third is irregular

Answer:

The notation Σ-2 (3η + 5) is incorrect for representing the arithmetic series 8 + 11+ ... + 29.

The correct notation for the arithmetic series 8 + 11 + ... + 29 should be:

Σ_{i=1}^{11} (6i + 2)

The series has 11 terms, and each term can be found by adding 3 to the previous term, starting with the first term 8. Therefore, the general form of the series is 6i + 2, where i represents the index of the term in the series.

In contrast, the notation Σ-2 (3η + 5) appears to have multiple errors. The use of a negative index (-2) is not valid, as the index should start from 1 or 0. Also, the use of the Greek letter eta (η) instead of i as the index variable is unconventional and likely to cause confusion. Finally, the expression inside the parentheses does not appear to correspond to the terms of the arithmetic series.

The correct notation for the arithmetic series 8 + 11 + ... + 29 should be:

Σ_{i=1}^{11} (6i + 2)

To explain the error in the given notation Σ-2 (3η + 5), we can break it down as follows:

The use of a negative index (-2) is incorrect. The index of summation should always be a non-negative integer.

The use of the Greek letter eta (η) instead of i as the index variable is unconventional and may cause confusion or errors.

The expression inside the parentheses, 3η + 5, does not represent the terms of the arithmetic series. In particular, it does not involve the index variable i or the common difference 3.

Therefore, the correct notation for the given arithmetic series is Σ_{i=1}^{11} (6i + 2).

The value of the given trigonometric expression tan(arcsin (2/7)) is 0.29.

Mathematical statements called expressions must have a minimum of two words with either numbers, variables, or both, joined by an operator. The four different types of mathematical operators are addition, subtraction, multiplication, and division. For instance, the expression x + y is an expression where x and y are words with an addition operator between them. Mathematical expressions may be divided into two categories: algebraic expressions, which include both numbers and variables, and numerical expressions, which solely contain numbers.

The given expression is tan(arcsin (2/7)).

The value of arcsin(2/7) = 16.60

Now substitute the value:

tan(16.60) = 0.29

Hence, the value of the given trigonometric expression tan(arcsin (2/7)) is 0.29.

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The trigonometric expression tan(arcsin (2/7)) has a value of 0.29.

What are trigonometric expressions?

Mathematical statements called expressions must have a minimum of two words with either numbers, variables, or both, joined by an operator.

The addition, subtraction, multiplication, and division operations are the four distinct categories of arithmetic operators.

For instance, the expression x + y is an expression where x and y are words with an addition operator between them.

Mathematical expressions may be divided into two categories: algebraic expressions, which include both numbers and variables and numerical expressions, which solely contain numbers.

The given expression is tan(arcsin (2/7)).

The value of arcsin(2/7) = 16.60

Now substitute the value:

tan(16.60) = 0.29

Hence, the value of the given trigonometric expression tan(arcsin (2/7)) is 0.29.

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The prοbability that mοre than twο machines need cοrrecting is apprοximately 0.0826 οr 8.26%.

Binοmial distributiοn is a prοbability distributiοn that describes the number οf successes in a fixed number οf independent trials, where each trial can οnly have twο οutcοmes: success οr failure.

Accοrding tο questiοn:

Let X be the number οf machines that need cοrrecting adjustments during a day's prοductiοn run, and let p = 0.2 be the prοbability that any οne machine needs cοrrecting.

Then, X fοllοws a binοmial distributiοn with parameters n = 6 (the number οf machines) and p = 0.2 (the prοbability οf a machine needing cοrrecting).

The prοbability οf X is:

P(X > 2) = 1 - P(X <= 2)

Tο calculate P(X <= 2), we can sum the prοbabilities οf X taking οn the values 0, 1, and 2:

P(X <= 2) = P(X = 0) + P(X = 1) + P(X = 2)

P(X = 0) = (6 chοοse 0) * 0.2⁰ * 0.8⁶ = 0.2621

P(X = 1) = (6 chοοse 1) * 0.2¹ * 0.8⁵ = 0.3932

P(X = 2) = (6 chοοse 2) * 0.2²* 0.8⁴ = 0.2621

Therefοre,

P(X <= 2)

= 0.9174

And

P(X > 2)

= 1 - P(X <= 2)

= 1 - 0.9174

= 0.0826

Sο the prοbability that mοre than twο machines need cοrrecting is apprοximately 0.0826 οr 8.26%.

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20 characters

Step-by-step explanation:

20 characters

20 characters

20 characters

20 characters

20 characters

20 characters

20 characters

Answer:

64.58

Step-by-step explanation:

1 meter is 3.28084 so 3 meters is 9.84252 because you multiply it by 3 or add them to each other 3 times. 2 meters is 6.56168 because you multiply it by 2 or add them to each other. now that you have 6.56168 and 9.84252 multiply them with each other and you get 64.5834666336 but it was said to round to nearest hundredth so since the 3 in front of the 8 is not a 5 and above the answer is 64.58 and not 64.89

Answer:

2n + 14 = 30

Step-by-step explanation:

Since you know that 2n + 14 = 30, we can determine the values by first subtracting 14 from 30. Our equation would then be 2n = 16. Divide 2 from both sides and n = 8.

This model represents the total on the top and the 2 parts on the bottom.

Answer:

 in a right triangle, the square of the length of the hypotenuse (the side across from the right angle) is equal to the sum of the squares of the other two sides. So if the length of the hypotenuse is c and the lengths of the other two sides are a and b, then c^2 = a^2 + b^2.Apr 24, 2017

Answer:7

Step-by-step explanation:

6.7 to the 10 is 7

Answer:

[tex]x + y = 150[/tex]

[tex]2x + y = 250[/tex]

Answer:

17.6

Step-by-step explanation:

2.7÷6= 0.45

0.45×8= 3.6

17+3.6 - 3=17.6

In response to the stated question, we may state that Therefore, the cylinder volume of the tank is approximately 301 cubic feet.

A cylinder is a three-dimensional polyhedron made up of two congruent parallel circular bases but a curving surface linking the two bases. The bases of a cylinder are all equal to its axis, which is an artificial straight line across the centre of both bases. The volume of a cylinder is the composite of its base area and length. The volume of a cylinder is computed as V = r2h, where "V" represents the volumes, "r" represents the circle of the base, and "h" is the height of the cylinder. The formula to find the volume of a cylinder is:

[tex]V = \pir^2h[/tex]

Where V is the volume, r is the radius, h is the height, and π is a constant value that approximates to 3.14.

[tex]V = 3.14 * 4^2 * 6\\V = 3.14 * 16 * 6\\V = 301.44\\V = 301 ft^3[/tex]

Therefore, the volume of the tank is approximately 301 cubic feet.

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In response to the stated question, we may state that As a result, an expressions adult black bear weighs 250 pounds.

An expression in mathematics is a collection of numbers, variables, and mathematical (such as addition, reduction, multiplication, division, exponentiation, etc.) that express a quantity or value. Expressions might be as basic as "3 + 4" or as complicated as "(3x2 - 2) / (x + 1)". They may also contain functions like "sin(x)" or "log(y)". Expressions can also be evaluated by substituting values for the variables and performing the mathematical operations in the order specified. If x = 2, for example, the formula "3x + 5" equals 3(2) + 5 = 11. Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complicated mathematical topics.

Let B represent the birth weight of a male black bear and A represent the mature weight. The ratio of B to A is supplied to us as 3:1000. As a result, we may write:

B/A = 3/1000

The average birth weight (B) is also reported as 12 ounces. We may use these data to get the average adult weight (A):

[tex]B/A = 3/1000\\12/A = 3/1000\\A = 12/(3/1000)\\A = 4000[/tex]

A male black bear's typical mature weight is 4000 ounces.

To convert ounces to pounds, divide by 16 (since one pound contains 16 ounces):

[tex]4000/16 = 250[/tex]

As a result, an adult black bear weighs 250 pounds.

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Answer:

2√2 km south and 2√2 km west of the volcano's crater.

Step-by-step explanation:

If the scientist is at the center of the circle with the volcano's crater, then the new vent is located 45° east of due south, or 135° counterclockwise from due north.

To describe the position of the new vent relative to the crater, we can use the bearing or direction angle, which is the angle between the north direction and the line connecting the crater and the new vent, measured counterclockwise.

To find the bearing, we can draw a right triangle with the hypotenuse equal to the distance from the center of the circle to the new vent, which is also the radius of the circle, or 4 km. The opposite side of the triangle is the north-south component of the line connecting the crater and the new vent, which is equal to the radius times the sine of the angle between the line and due south. The adjacent side is the east-west component of the line, which is equal to the radius times the cosine of the angle.

Using trigonometric functions, we can calculate:

Opposite side = 4 km x sin(135°) = 4 km x (-√2/2) = -2√2 km (southward direction)

Adjacent side = 4 km x cos(135°) = 4 km x (-√2/2) = -2√2 km (westward direction)

Therefore, the new vent is located 2√2 km south and 2√2 km west of the volcano's crater. Its position relative to the crater can be described as "southwest by south."

The expression for the missing side length, c, is c = √(a² + b²).

To determine an expression for the missing side length, follow these steps:

Identify the given side lengths in the problem. You didn't provide the specific side lengths or the type of shape

(triangle, rectangle, etc.), but I will assume it's a right triangle with given side lengths a and b, and the missing side

length is c (the hypotenuse).

Apply the Pythagorean theorem for a right triangle, which states that the sum of the squares of the two shorter sides (a

and b) is equal to the square of the hypotenuse (c):

a² + b² = c².

Solve for the missing side length (c) by taking the square root of both sides of the equation:

c = √(a² + b²).

So, the expression for the missing side length, c, is c = √(a² + b²).

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Answer:

the answer is supposably 75900000

Therefore, the estimated length of the diagonal is approximately 1.414 units.

The square root of a number is a value that, when multiplied by itself, gives the original number. In other words, the square root of a number "x" is a value "y" such that y multiplied by y equals x. The symbol for square root is √.

For example, the square root of 25 is 5, because 5 multiplied by 5 equals 25. Similarly, the square root of 64 is 8, because 8 multiplied by 8 equals 64. The square root of a negative number is not a real number, as there is no real number that, when squared, equals a negative number.

Using the Pythagorean theorem, we can find the length of the diagonal of the square.

If we draw a diagonal from one corner of the square to the opposite corner, we create a right triangle. The two legs of the right triangle are the sides of the square, which have a length of 1. The hypotenuse, which is the diagonal of the square, is the side we are trying to find.

Using the Pythagorean theorem, we can write:

[tex]d^2 = 1^2 + 1^2[/tex]

where d is the length of the diagonal.

Simplifying, we get:

[tex]d^2 = 2[/tex]

Taking the square root of both sides, we get:

d ≈ 1.414

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We want to write it in slope-intercept form:

y = mx + (b' = -12m - 2).

The slope of parallel lines is the same. The slopes of perpendicular lines are opposite reciprocals. To put it another way, if m=ab, then m=ba. To find the equation of a line, first determine the slope using the given information.

We can use the fact that parallel lines have the same slope to find the equation of a line that is parallel to a given line and passes through a given point.

Assume that the given line has the equation y = mx + b, where m represents the slope and b represents the y-intercept.

The slope of the line we are looking for is m because it is parallel to the given line. Because we don't know what the y-intercept of this line is, let's call it b'.

We now have two pieces of information regarding the new line:

It has the same slope as the given line (m).

It runs through the point (12,-2).

We can use this data to calculate the equation of the new line:

To begin, we can use the point-slope form of a line equation:

y - y1 = m(x - x1) (x - x1)

(x1, y1) denotes the point (12,-2) and m denotes the slope of the given line.

Substituting known values:

y - (-2) = m(x - 12) (x - 12)

Simplifying:

y + 2 = mx - 12m

We must now calculate the value of b' that makes this equation true for any point on the line. Because b' is the line's y-intercept, we can set x = 0 and solve for y:

y + 2 = m(0) - 12m

y = -12m - 2

As a result, the equation of the line parallel to the given line and passing through the point (12,-2) is:

y = mx - 12m - 2

Alternatively, we can write it in slope-intercept form:

y = mx + (b' = -12m - 2).

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Answer:

We can use the formula for compound interest to find the future value (FV) of Natalie's investment:

FV = P * (1 + r/n)^(n*t)

Where:

P is the principal amount (the initial investment), which is $2,000 in this case

r is the annual interest rate as a decimal, which is 11% or 0.11

n is the number of times the interest is compounded per year, which is 12 since interest is compounded monthly

t is the number of years, which is 20

Substituting the values into the formula, we get:

FV =

2

,

000

∗

(

1

+

0.11

/

12

)

(

12

∗

20

)

�

�

=

2,000 * (1.00917)^240

FV = $18,255.74

Therefore, after 20 years of compounded monthly interest at a rate of 11%, Natalie's investment of 2,000 will be worth approximately 18,256.

Answer:

$17,870

Step-by-step explanation:

You must use the formula for compound interest.

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

I suggest you look it up at some point so that you can do these more easily in the future!

Answer:

Step-by-step explanation: To find the ratio of corresponding sides for the two similar triangles, we need to match up the corresponding sides of the triangles and write the ratios of their lengths.

For Triangle 1, we have:

Side length = 12

Hypotenuse = 15

We can use the Pythagorean theorem to find the length of the blank side:

(Blank side)^2 = (Hypotenuse)^2 - (Side length)^2

(Blank side)^2 = 15^2 - 12^2

(Blank side)^2 = 225 - 144

(Blank side)^2 = 81

Blank side = 9

So, for Triangle 1, we have the following ratios:

Side length : Hypotenuse = 12 : 15

Side length : Blank side = 12 : 9

Hypotenuse : Blank side = 15 : 9

For Triangle 2, we have:

Side length = 4

Hypotenuse = 5

We can use the Pythagorean theorem to find the length of the blank side:

(Blank side)^2 = (Hypotenuse)^2 - (Side length)^2

(Blank side)^2 = 5^2 - 4^2

(Blank side)^2 = 25 - 16

(Blank side)^2 = 9

Blank side = 3

So, for Triangle 2, we have the following ratios:

Side length : Hypotenuse = 4 : 5

Side length : Blank side = 4 : 3

Hypotenuse : Blank side = 5 : 3

Therefore, the ratio of corresponding sides for the two similar triangles is:

Side length : Side length = 12 : 4 = 3 : 1

Hypotenuse : Hypotenuse = 15 : 5 = 3 : 1

Blank side : Blank side = 9 : 3 = 3 : 1

Reducing each ratio to lowest terms, we get:

Side length : Side length = 3 : 1

Hypotenuse : Hypotenuse = 3 : 1

Blank side : Blank side = 3 : 1

So the correct answer is (b) StartFraction 4 Over 5 EndFraction = StartFraction 12 Over 15 EndFraction = StartFraction 4 Over 5 EndFraction.

Answer:

alrededor de 10 meses

Step-by-step explanation:

Using trigonometric functions, we can find that the value of the angle N is 3°.

The six fundamental trigonometric operations make up trigonometry. Trigonometric ratios are useful for describing these methods. The sine, cosine, secant, co-secant, tangent, and co-tangent functions are the six fundamental trigonometric functions. On the ratio of a right-angled triangle's sides, trigonometric identities and functions are founded. Trigonometric formulas are used to determine the sine, cosine, tangent, secant, and cotangent values for the perpendicular side, hypotenuse, and base of a right triangle.

Here, using the cosine theorem:

CosM = n² + l² - m²/2nl

⇒ Cos 149° = 27² + 70² - m²/2 × 27 × 70

⇒ -0.981 = 729 + 4900 - m²/3780

⇒ 5629 - m² = -3708

⇒ m² = 9337.

Now Cos N = m² + l² - n²/2ml

= (9337 + 4900 - 729) / (2 × √9337 × 70)

= 0.9985

Cos N = 0.9985

Putting [tex]Cos^{-1}[/tex] on both sides:

[tex]Cos^{-1}[/tex] Cos N = [tex]Cos^{-1}[/tex] 0.9985

⇒ N ≈ 3°

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The complete question is:

In ΔLMN, n = 27 inches, l = 70 inches and ∠M=149°. Find ∠N, to the nearest degree.

Step-by-step explanation:

SA = 2πrh + 2πr²

where;

π = 3.14

r = 8

h = 11

Slotting in those parameters, we have;

= (2 x 3 x 8 x 11) + ( 2 x 3 x 8²)

= 528 + 384

= 912 inches²

To the nearest 100th, answer becomes 900inches²

The wrestler's weight before he went on his diet was 78.0 kilograms.

What is y-intercept?

In the context of a graph of a function, the y-intercept is the point where the graph intersects the y-axis. It is the value of the dependent variable (y) when the independent variable (x) is zero. Geometrically, the y-intercept is the value of the function at the point where it crosses the y-axis.

To determine the wrestler's weight before he went on his diet, we need to find the y-intercept of the linear function that represents his weight gain over time. This is because the y-intercept corresponds to the initial weight of the wrestler, i.e., his weight before he started his diet.

We can use the two data points where the time is 0 (i.e., at the start of the diet) to find the slope of the linear function:

(1.5, 85.8) and (3.0, 93.6)

The change in weight over the time interval of 1.5 to 3.0 months is:

93.6 - 85.8 = 7.8

The change in time over that interval is:

3.0 - 1.5 = 1.5

So the slope of the linear function is:

7.8 / 1.5 = 5.2

Now we can use the point-slope form of a linear function to write an equation for the wrestler's weight gain over time:

y - 85.8 = 5.2(x - 1.5)

where y represents the wrestler's weight and x represents the time in months.

To find the wrestler's weight before he went on his diet, we need to evaluate this equation at x = 0:

y - 85.8 = 5.2(0 - 1.5)

y - 85.8 = -7.8

y = 78.0

Therefore, the wrestler's weight before he went on his diet was 78.0 kilograms.

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Answer:

Step-by-step explanation

The answer would be 1449/2691 because of you simply then it would be 7/13