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 $
Answers
Using an exponential function, we have that:
His salary in 12 years will be of $74,170.His salary in 22 years will be of $99,637.To make real economic progress, Chen must receive greater than $53,600 for the next year and greater than $55,167 for the year after.What is an exponential function?An increasing exponential function is modeled by:
\(A(t) = A(0)(1 + r)^t\)
In which:
A(0) is the initial value.r is the growth rate, as a decimal.For this problem, the parameters are given as follows:
A(0) = 50000, r = 0.03.
Hence the function is:
\(A(t) = A(0)(1 + r)^t\)
\(A(t) = 52000(1.03)^t\)
The relevant numeric values are given as follows:
\(A(1) = 52000(1.03)^1 = 53,560\)\(A(2) = 52000(1.03)^2 = 55,167\)\(A(12) = 52000(1.03)^{12} = 74,140\)\(A(22) = 52000(1.03)^{22} = 99,637\)Hence:
His salary in 12 years will be of $74,170.His salary in 22 years will be of $99,637.To make real economic progress, Chen must receive greater than $53,600 for the next year and greater than $55,167 for the year after.More can be learned about exponential functions at https://brainly.com/question/25537936
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Related Questions
Please help me solve these Geometry problems. I am having a hard time understanding them and attached a screenshot of them. The problems state as follows:
1.) Calculate the value of x in the diagram.
2.) Calculate the value of 0.
3.) Use the figure below to determine the length of AC.
Answers
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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A retail store sells two types of shoes, sneakers and sandals. The store owner pays $8 for the sneakers and $14 for the sandals. The sneakers can be sold for $10 and the sandals can be sold for $17. The owner of the store estimates that she won't sell more than 200 shoes each month, and doesn't plan to invest more that $2,000 on inventory of the shoes. How many of each type of shoe should be stocked in order to maximize her total monthly profit?
Answers
Answer:
134 sneakers and 66 sandals
Step-by-step explanation:
Sneakers= x, sandals= y
Profit rate:
sneakers: (10-2)/8= 25%sandals: (17-14)/14= 21.4%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
URGENT LOL PLS HELP
Answers
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:
List the transformations of the function.
f(x)= 2(-2x+1)2 + 4
Answers
Answer:
Transformations of f(x) = ⅙(-2x + 1)² + 4:
vertical compressionreflects across y axishorizontal compressiontranslates lefttranslates upPLEASE HELP
Can anyone explain to me what the pythagorean theorem is? I never received an explanation when I asked my teacher for help
Answers
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.
Please state which property allows each of the statements to be true. A list of properties
has been given to you. Please use those letters to fill in the blanks.
1.
2.
3.
4.
5.
6829)
6.
7.
8.
9.
If 9x - 2 = 21, then 9x = 23.
If 3(x + 5) = 24, then 3x + 15 = 24.
If 3x + 15 = 24, then 3x = 9.
If 3x = 9, then x = 3.
If a = 7, then 7 = a.
If x/2 = 3, then x = 6.
If 2x + y = 3 and x = 9, then 2(9) + y = 3.
X = X.
If a = b and b = 2, then a = 2.
A.
B.
Addition Property of Equality
Subtraction Property of Equalit
Multiplication Property of Equa
Division Property of Equality
Reflexive Property of Equality
Symmetric Property of Equalit
Transitive Property of Equality
H. Substitution Property of Equa
Distributive Property
F.
G.
1.
C.
D.
E.
Answers
Addition, subtraction, multiplication, division, reflexive, symmetric, transitive, substitution, and square root qualities are the main nine properties of equality.
What is the 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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3^-3 find the value of power
Answers
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
There are six pizzas there are 36 players on the team. If each member has one slice and each pizza has eight slices how much pizza in fraction form will be left over.
Answers
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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HELPPPPP PLSSSSSS psplsplsplspsl
Answers
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 :)
Tadeo is a beekeeper. The table shows the weekly number of bees producing honey in a new hive. Which expression gives the number of bees in week 12?
Answers
The exponential equation that gives the number of bees in week 12 is of:
\(y = 4(3)^{11} = 708588\)
What is an exponential function?It is modeled by:
\(y = ab^x\)
In which:
a is the initial value.b is the rate of change.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:
A school survey found that 9 out of 10 students like pizza. If three students are chosen at random with replacment what is the probability that all three student like pizza?
Answers
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
Farmer Elentire started with 71 dubbles on his farm. Every month, he
got 6 more of them. Farmer Hopt started with 10 dubbles on her farm.
Every month, she purchased 10 more of them.
Write a system of equations, in slope-intercept form, to model each
farmer's dubbles (y) as months (x) increase.
y= 71+ 6x
y= 10+ 10x
What pair of numbers solves the system? Use values accurate to the
nearest tenth.
Answers
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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I don’t know how to do this problem help me!!
Answers
\(x-9z^5+4z+11+2z^5+14=-5z^5-3z+25\\x=2z^5-7z\)
Therefore, it's \(2z^5-7z\).
10-10=69.420!!!!!!!!!!
What is the value of the expression below? 2 [32 – (4 – 1)] X
Answers
Answer:
1222222
Step-by-step explanation:
Q:
To which axis is the line passing through A(4,3) and B(4,-2) parallel to?
Answers
Answer:
y-axis.
Step-by-step explanation:
The x coordinate of both points is 4, so it is parallel to they-axis.
PLEASE HELP!!!!! IM GONNA FAIL
../././../././../././/./././././././././././/././././././/././././././././././/././..’././/./././././././/./././././././/././././
Margo I will catch you! And I will NEVER let you go again!
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*Margo Leaps*
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I’m Joking
Answers
Answer:
lol
Step-by-step explanation:
Answer:
on what
Step-by-step explanation:
5 Signs for science project displays are cut of poster board that measure 1 yard on each side. Each sign is-yard long and-yard wide. How ma signs can be cut from 1 piece of poster board? Wh the area of each sign? Show your work.
Answers
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 :
\(\dfrac{\text{Area of poster board}}{\text{Area of poster sign}}\)
\(1 \ \text{yard}^2\div (\dfrac{1}{27} ) \ \text{yard}^2\)
\(1 \div \dfrac{1}{27}\)
\(1 \times \dfrac{27}{1}\)
\(\bold{= 27 \ poster \ signs}\)
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. The heights of adult women in America are also normally distributed, but with a mean of 64.8 inches and a standard deviation of 2.54 inches. What percentage of men are SHORTER than 67 inches
Answers
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
.54 oz of premium walnuts costs $12.95. what is cost per ounce
Answers
The cost per ounce of the premium walnut is $0. 23
What is proportion?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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help please 40 points answer correct please
Answers
Answer:
bballs: 8*2+2=18
baseballs: 5*8-4=36
softballs: 36/2+6=24
Step-by-step explanation:
easy Hope this helps!
Last week, a customer paid $47.40 for 3 pounds of cat food. This week, she has a coupon for $1.50 off per pound. What is the new price per pound of cat food?
Answers
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
Please explain how you find the slope of a graph?
Answers
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:
If the _______ of all digits in a number is divisible by 3, that number is divisible by 3.
A . Sum
B . Square root
C . Difference
D . Average
Answers
Answer:
A
Step-by-step explanation:
which of the following numbers falls between 2 and 3 on the number line square root of 8 or square root of 12
Answers
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)
On October 23, 2011, one South African rand was worth 0.12 U.S. dollars.
(a) On that date, how many dollars was 199.65 rand worth?
Round your answer to the nearest hundredth of a dollar,
dollars
(6) On that date, how many rand was 29.11 dollars worth?
Round your answer to the nearest hundredth of a rand,
0-
rand
Answers
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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Determine the percentile of 6.2 using the following data set.
4.2 4.6 5.1 6.2 6.3 6.6 6.7 6.8 7.1 7.2
Your answer should be an exact numerical value.
The percentile of 6.2 is |
%.
Answers
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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solve the equation 1/3(x+6) = 1/2 (x-3) Show work pleaseee i need this now please help meeeee!!!!!!!!!!
Answers
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:
\(\frac{1}{3} (x+6)=\frac{1}{2} (x-3);\\\\6*\frac{1}{3} (x+6)=6*\frac{1}{2} (x-3);\\2(x+6)=3(x-3);\\2x+12=3x-9;\\x=21.\)
Math math help ASAP
Answers
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
Aldo gets paid biweekly. His gross pay for each pay period is $850.He has 16% withheld for taxes and 7% withheld for personal deductionsWhat is the amount of his annual net pay?a. $8,160b. $17,340c. $17,017d. $17,680
Answers
First, we compute the 16% of $850 and the 7% of $850:
\(\begin{gathered} 850(0.16)=136 \\ 850(0.07)=59.5 \end{gathered}\)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.
Which of the following describes the end behavior of the
functionf(x) = 3 - 4
on the right?
Hellllp me plzzzzzz look at the picture will mark brainlest
Answers
I’m pretty sure it’s -4