Future Value
As a graduating senior, Chun Kumora of Manhattan, Kansas, is eager to enter the job market at an anticipated annual salary of $52,000. Assuming an average inflation rate of 3 percent and an
equal cost-of-living raise, what will his salary possibly become in 12 years? (Hint: Use Appendix A-1.) Round your answer to the nearest dollar. Round Future Value of a Single Amount in
Intermediate calculations to four decimal places.
$
What will his salary be in 22 years? Round your answer to the nearest dollar. Round Future Value of a Single Amount in intermediate calculations to four decimal places.
$
To make real economic progress, how much of a raise (in dollars) does Chun need to receive next year and the year after? Round your answers to the nearest dollar.
Chun must receive raise greater than $
for the year after.
for the next year and greater than $

The exponential equation that gives the number of bees in week 12 is of:

\(y = 4(3)^{11} = 708588\)

It is modeled by:

\(y = ab^x\)

In which:

In this problem, considering that the initial week is the first, and the value triples every week, the expression for the number of bees after x weeks is given by:

\(y = 4(3)^{x - 1}\)

Hence, after 12 weeks, the expression is:

\(y = 4(3)^{11} = 708588\)

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Answer:

4 • 3^11

Step-by-step explanation:

Answer:

x = –24

\( \frac{1}{3(x + 6)} = \frac{1}{2(x - 3)} \\ \\ ⇒ \frac{1}{3x + 18} = \frac{1}{2x - 6} \\ \\ ⇒3x + 18 = 2x - 6 \: \\ \\ ⇒3x - 2x = - 6 - 18 \\ \\ ⇒x = - 24 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\)

Hope it helps you

Answer:

21.

Step-by-step explanation:

\(\frac{1}{3} (x+6)=\frac{1}{2} (x-3);\\\\6*\frac{1}{3} (x+6)=6*\frac{1}{2} (x-3);\\2(x+6)=3(x-3);\\2x+12=3x-9;\\x=21.\)

Answer:

lol

Step-by-step explanation:

Answer:

on what

Step-by-step explanation:

The pair of numbers that solves the system is (15.25, 164.5).

The system of equations, in slope-intercept form, for Farmer Elentire and Farmer Hopt are:

y = 6x + 71 (for Farmer Elentire)

y = 10x + 10 (for Farmer Hopt)

To find the pair of numbers that solves the system, we need to find the point where the two lines intersect.

We can do this by setting the equations equal to each other:

6x + 71 = 10x + 10

Solving for x, we get:

4x = 61

x = 15.25

Now that we know x = 15.25, we can plug this value into either equation to find y.

71 + 6x = 10 + 10x

Subtracting 6x and 10 from both sides, we get:

61 = 4x

Dividing both sides by 4, we get:

x = 15.25

Now we can use either of the original equations to find y. Let's use the first equation:

y = 71 + 6x = 71 + 6(15.25) ≈ 164.5

Using the first equation, we get:

y = 6(15.25) + 71

y = 163.5

Therefore,

The pair of numbers that solves the system is (15.25, 163.5), accurate to the nearest tenth.

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The value of 199.65 rand was worth $24 and $29.11 was worth 243 rand with rounding off.

What is foreign currency exchange?

A global decentralized or over-the-counter market for trading currencies is known as the foreign exchange market. For every currency, exchange rates are set by this market.

Main body:

Given: 1 rand = $0.12

a) According to question ,

199.65 rand = 0.12* 199.65

                    = 23.948

Now rounding off to nearest hundred , we get

199.65 rand = $24

b) According to question,

$1 = 1/ 0.12

$29.11 = 29.11/ 0.12

          =242.5833333

Now rounding off to nearest hundred , we get

$29.11 = 243 rand.

Hence answer are $24 and 243 rand.

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Answer:

bballs: 8*2+2=18

baseballs: 5*8-4=36

softballs: 36/2+6=24

Step-by-step explanation:

easy Hope this helps!

\(x-9z^5+4z+11+2z^5+14=-5z^5-3z+25\\x=2z^5-7z\)

Therefore, it's \(2z^5-7z\).

10-10=69.420!!!!!!!!!!

Answer:

$14.30

Step-by-step explanation:

Old price per pound:

$47.40/3 = $15.80

New price per pound:

$15.80 - $1.50 = $14.30

Answer:

In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

Step-by-step explanation:

It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the sides a, b and c, often called the Pythagorean equation: a²+b²=c², where c represents the length of the hypotenuse and a and b the lengths of the triangle's other two sides.

Answer

m=rise/run

Step-by-step explanation:

To find the slope of a graph, you have to figure out home it is rising and how much it is running. Make sure you know which way is negative and positive. Then you divide rise by run.

Answer:

change in y / change in x

or you could differentiate the function of the graph to find the slope

Step-by-step explanation:

Answer:

angle 2 ande angle 5

Step-by-step explanation:

Answer:

The pair of angles which is not congruent is

<2 and < 5

Hope it will help :)

Answer:

0.037

hope thats the answer

Answer:

Answer= 0.037

Step-by-step explanation:

(\(3^{-3}\)) is the same as \(\frac{1}{3^{3} }\)

(the negative power rule states that \(x^{-y}\) is the same as \(\frac{1}{x^{y} }\))

which is equal to \(\frac{1}{27}\)

or converted to decimals it will be equal to 0.037

First, we compute the 16% of $850 and the 7% of $850:

Then, after deductions, Aldo gets paid $850-$136-$59.5=$654.5 biweekly. Therefore, since he gets paid biweekly we multiply $654.5 per 26 and get that Aldo earns $17017 per year.

Answer: Option C.

Answer:

14.69% of men are SHORTER than 67 inches

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a standard deviation of 2.67 inches.

This means that \(\mu = 69.8, \sigma = 2.67\)

What percentage of men are SHORTER than 67 inches

This is the pvalue of Z when X = 67. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{67 - 69.8}{2.67}\)

\(Z = -1.05\)

\(Z = -1.05\) has a pvalue of 0.1469

14.69% of men are SHORTER than 67 inches

In the triangle the value of x is obtained as 15.92.

What is AAS theorem?

Angle-Angle-Side is abbreviated as AAS. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

To find the length of side AB in the triangle, use the law of sines, for AAS triangle which states -

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

Where a, b, and c are the lengths of the sides of the triangle, and A, B, and C are the angles opposite those sides.

In this case, the length of side AB and the measures of angles A and C are known, so use the law of sines to find the length of side AC as follows -

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

c/sin 68 = b/sin (180 - 100 - 68) (using angle sum property of triangles)

71/sin 68 = b/sin 12

b = sin 12 × 71/sin 68

b = 0.2079 × 71/0.9271

b = 15.92

Therefore, the length of side AC is approximately 15.92 meters.

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Addition, subtraction, multiplication, division, reflexive, symmetric, transitive, substitution, and square root qualities are the main nine properties of equality.

The nine basic characteristics of equality are addition, subtraction, multiplication, division, reflexive, symmetric, transitive, substitution, and square root. Real number-based algebraic problems can be resolved with the aid of the addition, subtraction, multiplication, and division properties of equality.

When you add the same amount to both sides of an equation that has two equal expressions, the equation will stay equal. Finding the value of the variable that makes an equation true is the process of solving an equation.

The Subtraction Property of Equality asserts that when an equal value is subtracted from or removed from two equal objects, a new equal quantity is created. A mathematical statement with two equivalent sides is denoted by an equal sign. The formula for the subtraction property is if a = b, then a - c = b - c.

According to the equality's multiplication property, an equation's two sides stay equal when multiplied by the same amount.

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Answer:

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events (9/10).

0.729

The cost per ounce of the premium walnut is $0. 23

To determine the value of the cost, we need to note that proportion is simply described as the comparison of numbers such  that they are made equal to another.

From the information given, we have that;

54 ounces of premium walnuts costs $12.95

This is represented as;

54 ounces = $12. 95

Then 1 = x

cross multiply the values, we get;

x = $12.95/54

Divide the values, we get;

x = $0. 23

Hence, the value is $0. 23 per premium walnut

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Answer:

1222222

Step-by-step explanation:

Answer:

\(\text{27}\)

Step-by-step explanation:

Given that :

\(\text{Dimension of poster board} = 1 \ \text{yd} \ \text{by} \ 1 \ \text{yd}\)

\(\text{Dimension of each poster board} = \dfrac{1}{3} \ \text{yd} \ \text{by} \ \dfrac{1}{9} \ \text{yd}\)

Number of poster signs that can be cut :

\(\text{Area of poster sign} = \dfrac{1}{3} \times \dfrac{1}{9} = \dfrac{1}{27} \ \text{yard}^2\)

\(\text{Area of poster board} = 1 \ \text{yard}^2\)

Number of poster signs that can be cut :

\(\dfrac{\text{Area of poster board}}{\text{Area of poster sign}}\)

\(1 \ \text{yard}^2\div (\dfrac{1}{27} ) \ \text{yard}^2\)

\(1 \div \dfrac{1}{27}\)

\(1 \times \dfrac{27}{1}\)

\(\bold{= 27 \ poster \ signs}\)

There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.

To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.

Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.

Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.

To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.

Therefore, there will be 12 slices of pizza left over.

To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.

If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.

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The percentile of 6.2 in the given data set is 40%.

To determine the percentile of 6.2 in the given data set, we can use the following steps:

Arrange the data set in ascending order:

4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2

Count the number of data points that are less than or equal to 6.2. In this case, there are 4 data points that satisfy this condition: 4.2, 4.6, 5.1, and 6.2.

Calculate the percentile using the formula:

Percentile = (Number of data points less than or equal to the given value / Total number of data points) × 100

In this case, the percentile of 6.2 can be calculated as:

Percentile = (4 / 10) × 100 = 40%

The percentile of 6.2 in the sample data set is therefore 40%.

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Answer:

\( {3x}^{2} + 24x - 6\)

Step-by-step explanation:

To find the area of a rectangle you have to multiply the length by the width.

In your problem, the length and width are both equations, so you just have to multiply each part of the equation separately.

For example, if you were to put both equations with one over the other, you just have to multiply the aligned numbers.

The length is: x2 + 6x + 3

The width is: 3x2 + 4x - 2

and if you multiply the aligned numbers together, you get

3x2 + 24x - 6. Because:

x2 × 3x2 = 3x2,

6x × 4x = 24x,

and 3 × -2 = -6

Answer:

Blah

Step-by-step explanation:

Answer:

134 sneakers and 66 sandals

Step-by-step explanation:

Sneakers= x, sandals= y

Profit rate:

Sneakers are more profitable, so it should be maximized.

Cost:

8x+14y≤2000

x+y≤200

if we assume the maximum of 200 shoes stocked, then:

x= 200-y

8(200-y)+14y ≤ 2000

1600 - 8y +14y ≤ 2000

6y≤400

y≤66 and x=134 is the best option

Answer:

y-axis.

Step-by-step explanation:

The x coordinate of both points is 4, so it is parallel to they-axis.

Answer:

Transformations of f(x) = ⅙(-2x + 1)² + 4:

Answer:

103.67 in³

Step-by-step explanation:

given Volume of cone is 1/3 * π * r² * h

here given r = 6/2 = 3 , height = 11 inch

using the formula = 1/3 * π * 3² * 11

                              =103.67 in³ or 33π in³

Answer:

A

Step-by-step explanation:

9514 1404 393

Answer:

  √8

Step-by-step explanation:

8 is between 2² = 4 and 3² = 9. 12 is not.

√8 falls between 2 and 3.

__

Your calculator can help with this.

  √8 ≈ 2.828 . . . . . between 2 and 3

  √12 ≈ 3.464 . . . . not between 2 and 3 (between 3 and 4)