The answer of the given question based on the hypothesis the answer is the calculated t-value of -2.58 is less than the critical t-value of -2.009, we cannot reject the null hypothesis.
What is Hypothesis?A hypothesis is an educated guess or prediction that is used to explain an observation or set of observations. It is a proposed explanation or possible answer to a research question or problem that is based on prior knowledge, experience, and research. In science, a hypothesis is often tested through experiments or observations to determine if it can be supported or rejected by the evidence.
Hypothesis:
The city of Goose Pimple, Vermont, hypothesizes that contracting with Grimms Health Maintenance Organization will result in a significant reduction in health care costs per employee.
Null Hypothesis:
The null hypothesis is that there is no significant difference in health care costs per employee between last year and this year with the contract with Grimms Health Maintenance Organization having no impact.
Evaluation:
To evaluate the hypothesis, we will perform a one-sample t-test. The test statistic is calculated as:
t = (sample mean - population mean) / (sample standard deviation / sqrt(sample size))
Assuming a significance level of 0.05, we will reject the null hypothesis if the calculated t-value is greater than the critical t-value.
Population mean = $3,261 (given)
Sample mean = $3,015
Sample standard deviation = $1,745
Sample size = 50
t = (3015 - 3261) / (1745 / sqrt(50)) = -2.58
Using a t-table with 49 degrees of freedom (sample size - 1) and a significance level of 0.05, the critical t-value is ±2.009.
Since the calculated t-value of -2.58 is less than the critical t-value of -2.009, we cannot reject the null hypothesis. This means that there is not enough evidence to suggest that there is a significant difference in health care costs per employee between last year and this year with the contract with Grimms Health Maintenance Organization having no impact.
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What is the area of figure?
A. 56 square meters
B. 80 square meters
C. 120 square meters
D. 136 square meters
E. 152 square meters
(quiz help )
Answer:
D
Step-by-step explanation:
8×16=128
2×4=8
128+8=136m^2
answer: D
Find A×A if,
A={x: 4 ≤ x ≤ 7, x ∈ W }
Note: W means whole number!
A×A is the set {16, 20, 24, 28, 20, 25, 30, 35, 24, 30, 36, 42, 28, 35, 42, 49}
To find A×A, we need to first understand what A represents.
In mathematics, a set is a well-defined collection of distinct objects, called elements or members of the set. These objects can be anything, such as numbers, letters, or even other sets. The elements of a set are typically enclosed in curly braces { } and are separated by commas.
A is a set defined as the set of all whole numbers, x, where 4 ≤ x ≤ 7. In other words, A contains the elements 4, 5, 6, and 7.
To find A×A, we need to take each element in A and multiply it by every other element in A. This means that we need to find the product of (4, 4), (4, 5), (4, 6), (4, 7), (5, 4), (5, 5), (5, 6), (5, 7), (6, 4), (6, 5), (6, 6), (6, 7), (7, 4), (7, 5), (7, 6), and (7, 7).
When we do the multiplication, we get the set {16, 20, 24, 28, 20, 25, 30, 35, 24, 30, 36, 42, 28, 35, 42, 49}.
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HELP PLS!!!!!!!!!!!!!!!
Q6b. The teenager from the question above rejoins the group and another teenager is picked at random.
What is the probability that the teenager picked at random is male and their favourite hobby is playing video games? You can simplify this fraction if you wish.
Picking a male youngster who enjoys playing video games is more likely if you get a score of (4/10) * (6/10) = 24/100 = 6/25.
what is probability ?Probability is a mathematical concept that expresses the possibility or chance of an event happening. It is stated as a number between 0 and 1, where 0 denotes the impossibility of an event and 1 denotes its certainty. By dividing the number of favorable outcomes by the entire number of possible possibilities, the probability of an event is determined.
given
The odds of selecting a male adolescent at random are x/n, while the odds of selecting a teen whose preferred pastime is playing video games are y/n.
As these two occurrences are separate, the likelihood that both will occur is the product of the probabilities:
The odds of selecting a male teen who enjoys video games are (x/n) * (y/n) = xy/n2.
By dividing the numerator and denominator by the greatest common factor (GCF) of x and y, if one exists, this can be made simpler.
For instance, the probability is simplified as follows if x=4 and y=6, where the GCF is 2:
Picking a male youngster who enjoys playing video games is more likely if you get a score of (4/10) * (6/10) = 24/100 = 6/25.
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jaquan ate 5 mangoes , 1//9 was what he pick. How much did he pick?
How many solutions does this nonlinear system of equations have?
Answer:
the answer is 0
Step-by-step explanation:
A party hat is shape of a cone has a volume of 199 cubic inches which of the following is the closest to height
Answer:
200
Step-by-step explanation:
199+1
Help me with this question
Step-by-step explanation:
gradient= 12-10/10-9
= 2
y=mx+c
c= -8
y= 2x-8
when x= -1,
y= 2(-1)-8
= -2-8
= -10
when x= 5,
y= 2(5)-8
= 10-8
= 2
Acellus
Acellus
Length of Arcs
Find the length of AB. Leave
your answer in terms of π.
27
A
20° AB =[?]T
B
l'o
The length of arc-AB = 3π
Define the term Circle identities?The Circle identities refer to a set of fundamental identities in trigonometry that relate the six trigonometric functions of an angle in a right-angled triangle.
Given circle;
arc-AB (θ) = 20° and radius, r = 27
We know the formula,
length of arc = (θ/360°) × 2πr
after putting the values,
length of arc-AB = (20°/360°) × 2π × 27
length of arc-AB = (1/18) × 54π = 3π
Therefore, the length of arc-AB = 3π
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The length of arc-AB = 3π. The Circle identities are a collection of trigonometric fundamental identities that relate to the six trigonometric properties of an angle in a right-angled triangle.
How do I find the length of an arc?The central angle and sector area are required to compute arc length without radius: Divide the value by the central angle in radians after multiplying the area by two. Calculate the square root of this fraction. To get the arc length, multiply this root by the centre angle once more. The arc length is shown to be identical to the radius length. Radians are the ratio constant between an arc length and a radius length.
Given circle;
arc-AB (θ) = 20° and
radius, r = 27
The length of an arc,
length of arc = (θ/360°) × 2πr
after substituting the values,
length of arc-AB = (20°/360°) × 2π × 27
Simplify the above equation,
length of arc-AB = (1/18) × 54π = 3π
Therefore, the length of arc-AB = 3π
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Frank is 5 years older than Mary. In 5 years, Frank will be twice as old as Mary is now. How old is Frank now?
A. 10
B. 15
C. 20
D. 25
E. 30
Answer:
Step-by-step explanation:
Th ee even numbers sum up to 108. The smaller
is half the larger and the middle number is 3/4 the larger. What are the three numbers
Answer:
24, 36, 48.
Step-by-step explanation:
Represent the three even numbers as 2x, 2y, 2z, where x,y,z are integers.
2x+2y+2z = 108
x+y+z = 54
Let x≤y≤z
x = z/2
y = ¾z
z/2 + 3z/4 + z = 54
2z/4 + 3z/4 + 4z/4 = 54
2z + 3z + 4z = 216
9z = 216
z = 24
x = z/2 = 12
y = ¾z = 18
Therefore, The numbers are 24, 36, 48.
Find the measure of x
Answer:
≈ 11,88
Step-by-step explanation:
Use trigonometry:
cos (62∘) = 8 / x
x = 8 / cos (62∘) ≈ 11,88
An investor needs $19,000 in 12 years.
(a) What amount should be deposited in a fund at the end of each quarter at 7% compounded quarterly so
that there will be enough money in the fund?
(b) Find the investor's quarterly deposit if the money is deposited at 7.2% compounded quarterly.
The solution of the given problem of percentage comes out to be $19,000 in 12 years, they should deposit $170.89 at the conclusion of each quarter.
What is percentage?The abbreviation "a%" is used to indicate a value or number in statistics that is expressed as a percentage of 100. Versions with "pct," "pct," or "pc" as the initials are also rare. However, the most popular method to do this is to use the percentage symbol ("%"). Additionally, both hints nor a constant ratio of every element to the overall amount exist. Since numbers commonly add up to 100, they are essentially integers.
Here,
=> [tex]FV = PMT * [(1 + r/n)^(n*t) - 1] / (r/n)[/tex].
By entering these numbers, we obtain:
[tex]= > 19000 = PMT * [(1 + 0.07/4)^(4*12) - 1] / (0.07/4)[/tex]
Upon solving for PMT, we obtain:
[tex]= > PMT = 19000 * (0.07/4) / [(1 + 0.07/4)^(4*12) - 1][/tex]
=> PMT = $174.58 (rounded to the nearest cent)
In order to have $19,000 in 12 years, the investor needs to deposit $174.58 at the conclusion of each quarter at a rate of 7% compounded quarterly.
(b) Using the same procedures as in (a), but with an interest rate of 7.2%, we arrive at:
[tex]= > 19000 = PMT * [(1 + 0.072/4)^(4*12) - 1] / (0.072/4)[/tex]
Upon solving for PMT, we obtain:
[tex]= > PMT = 19000 * (0.072/4) / [(1 + 0.072/4)^(4*12) - 1][/tex]
=> PMT = $170.89 (rounded to the nearest cent)
In order to have $19,000 in 12 years, they should deposit $170.89 at the conclusion of each quarter.
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13) Jason is 9 miles ahead of Joe running at 5.5 miles per hour and Joe is
running at the speed of 7 miles per hour. How long does it take Joe to catch
Jason?
A. 3 hours
B. 4 hours
C. 6 hours
D. 8 hours
Joe will catch Jason in 6 hours running at 7mph while Jason is running at 5.5 mph .
Given,
Jason is 9 miles ahead of Joe running at 5.5 miles per hour and Joe is running at the speed of 7 miles per hour.
Now,
Joe speed is more than Jason.
So,
Differences in speed:
(7 - 5.5) = 1.5 miles per hour.
Now,
Jason is ahead of joe by 9 miles.
To cover 9 miles of distance by joe to catch jason,
Distance = Speed * Time
9 miles = 1.5mph* Time
Time = 6hours.
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find the first three terms of the expansion of the following in acceding power of x ((x +2)/(1+x)*2)
Step-by-step explanation:
((x+2)/(1+x)*2)2x +3*22x+6x+6*2x+12Concerns about climate change and C02 reduction have initiated the commercial production of blends of biodiesel eg from renewable sources and petrodiesel from fossil fuels. Random samples of 38 blended fuels are tested in a lab to ascertain the bio total carbon ratio
URGENT ANSWER BOTH A/B and C
.....Answer:
..........Step-by-step explanation:
Explain the theory of mathematics
There are number of thesis that are given for mathematics by various professors and scientists at various levels that are being implemented from time to time.
A theory is nothing but a set of statements which may be based on certain principles that might have been derived by performing some experiments and attaining a proper conclusion. For example, if we say 'the sky is blue'. It means this truth can never be changed irrespective of the situations. This will remain mortal.
Similarly, there are plenty of terms in mathematics such as decimals, percentage, geometry, algebra and more fundamentals. These are existing since ages and have been challenged also. But the theory remains the same. There operas-memoranda remains the same. So various scholars, have given various theories of mathematics.
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A 15-foot ladder is leaning against a wall. If we pull the ladder away from
the wall at a rate of 2 ft/s, how fast is the top of the ladder moving down
the wall when the bottom of the ladder is 12 ft from the wall?
Answer:
Step-by-step explanation:
Every week at the Cougar Scouts meeting, Caden is in charge of the craft activity. This week, he decides to make pinecone bird feeders. At the meeting, Caden divides a bag of birdseed evenly among 12 Cougar Scouts, and each scout gets 1/2 of a cup of birdseed
There are 4 cups of birdseed in the bag.
Describe Algebra?Algebra is a branch of mathematics that deals with symbols and the rules for manipulating these symbols to solve equations and understand mathematical relationships. It involves the use of letters and symbols to represent variables and numbers, and the manipulation of these variables and numbers using rules and operations such as addition, subtraction, multiplication, and division. The main goal of algebra is to solve equations, which involves finding the value of an unknown variable that satisfies the given equation.
In algebra, equations are often represented graphically as lines or curves on a coordinate plane, which allows for a visual representation of mathematical relationships. Algebraic equations are used in a variety of fields, including physics, engineering, finance, and computer science.
The study of algebra starts with basic arithmetic concepts and progresses to more complex topics such as linear equations, quadratic equations, and functions. The ability to understand and manipulate algebraic expressions is an essential skill in many areas of life, from solving practical problems to understanding complex mathematical theories.
If each of the 16 Cougar Scouts gets 1/4 of a cup of birdseed, then the total amount of birdseed in the bag can be found by multiplying the amount given to each scout by the number of scouts:
Total birdseed = (1/4) x 16 = 4 cups
Therefore, there are 4 cups of birdseed in the bag.
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The complete question is:
Line plot titled, Width of Crocus Plants. There is a line labeled, Width in Centimeters. There are tick marks representing values from 8 to 10, partitioned into tenths. Each fifth tick mark is labeled with a decimal number, 8, 8 and 5 tenths, 9, 9 and 5 tenths, and 10. There is one mark above the first tick mark after 8. There are two marks above the third tick mark after 8. There is one mark above the second tick mark after 8 and 5 tenths. There are 3 marks above the first tick mark after 9. There is one mark above the first tick mark after 9 and 5 tenths. There is one tick mark above the third tick mark after 9 and 5 tenths. There is one mark over 10. What is the total width of the plants that are 8.5 cm or less? 3 centimeters 24 centimeters 24.7 centimeters 30 centimeters
Find the EAR in each of the following cases: 10% compounded monthly
Answer:
Step-by-step explanation:
ear
Please help!!! WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!
Golf Skydiving Fishing 100-yard dash
Drag racing
1. Brainstorm: Which of the above sports do you think the graph could represent? Why?
2. Brainstorm: What vocabulary and properties of graphs and functions do you see represented in the graph? How did any of those affect your choice for the sport?
(Photo of graph is added)
I think it could represent the 100-yard dash. The graph represents distance versus time, which is a common way to graphically display motion.
What is graph?A graph is a visual representation of data that displays the relationship between two or more variables. Graphs can be used to illustrate numerical information in a clear and concise way, making it easier to understand and analyze complex sets of data. Graphs can be created using various types of software or by hand, and there are many different types of graphs, including line graphs, bar graphs, scatter plots, pie charts, and more.
Here,
The vertical axis represents the distance, and the horizontal axis represents time. The line on the graph shows how the distance traveled changes with respect to time.
The graph also shows that the runner covers a certain distance in a specific amount of time, which is a fundamental concept in physics. In the case of the 100-yard dash, the graph shows how the runner covers 100 yards in a certain amount of time.
Overall, the graph displays the key characteristics of motion and can be used to analyze and compare the performance of athletes in various sports.
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Please help with number 3!! Thank you so much!
Answer:
[tex]\cos^2x+\cos x-1+\sin^2x[/tex] can be simplified to [tex]\cos x[/tex]
Step-by-step explanation:
Given
[tex]\cos^2x+\cos x-1+\sin^2x[/tex]
We need to use the Pythagorean trig identity in this example.
[tex]\sin^2x+\cos^2x=1[/tex]
Lets simplify.
We can use the Commutative and Associative Properties of Addition to reorder the equation.
[tex]\sin^2x+\cos^2x+\cos x-1[/tex]
Apply the Pythagorean trig identity to [tex]\sin^2x+\cos^2x[/tex].
[tex]1+\cos x-1[/tex]
Group like terms.
[tex]\cos \left(x\right)+\left(1-1\right)[/tex]
1 minus 1 is zero.
That leaves us with
[tex]\cos x[/tex]
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Three friends, Nakobe, Mikah, and Ashton, are saving up money to buy microphones for their podcast. The total cost of the microphones is represented by the expression 8x2 − 4x + 9.
The friends have already saved the following amounts:
Nakobe: x2
Mikah: x − 14
Ashton: 2x + 6
Which expression represents the amount of money the friends still need to buy the microphones?
x2 + 3x − 8
x2 + 3x + 26
4x2 + 4x + 9
7x2 − 7x + 17
Answer:
7x^2 - 7x + 17
Step-by-step explanation:
we can subtract what they already have from what they total cost for the microphones:
8x^2 - 4x + 9 - (x^2) - (x - 14) - (2x + 6)
simplify this:
8^2 - 4x + 9 - x^2 - x + 14 - 2x - 6 =
7x^2 - 7x + 17
On June 10, Metlock, Inc. purchased $7,400 of merchandise on account from Monty Company, FOB shipping point, terms 3/10, n/30. Metlock, Inc. pays the freight costs of $560 on June 11. Goods totaling $600 are returned to Monty for credit on June 12. On June 19, Metlock, Inc. pays Monty Company in full, less the purchase discount. Both companies use a perpetual inventory system.
Prepare separate entries for each transaction on the books of Metlock, Inc.
According to the given data in question below given are the separate journal entries for each transaction on the books of Metlock, Inc.
What is entries?"Entries" typically refers to the individual values in a matrix or table. A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns, while a table is an arrangement of data in rows and columns with each intersection representing a single piece of data.
1.On June 10, Metlock, Inc. made an account-based purchase from the Monty Company for $7,400 in goods, FOB shipping point, 3/10, n/30.
Inventory (asset) $7,400
Accounts payable (liability) $7,400
2. On June 11, Metlock, Inc. pays the freight costs of $560:
Freight expense (expense) $560
Cash (asset) $560
3. On June 12, goods totaling $600 are returned to Monty for credit:
Accounts payable (liability) $600
Inventory (asset) $600
4. On June 19, Metlock, Inc pay Monty Company in full, less the purchase discount:
Accounts payable (liability) $7,400
Purchase discounts (contra expense) $222 [($7,400 x 3%) = $222]
Cash (asset) $7,178
Note that the purchase discount is calculated as $7,400 x 3%, or $222.
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The information in issue below is taken from Metlock, Inc.'s books, which include separate journal entries for each transaction.
Purchase discounts (contra expense) $222 [($7,400 x 3%) = $222]
Cash (asset) $7,178
What is entries?1.On June 10, Metlock, Inc. made an account-based purchase from the Monty Company for $7,400 in goods, FOB shipping point, 3/10, n/30.
Inventory (asset) $7,400
Accounts payable (liability) $7,400
2. On June 11, Metlock, Inc. pays the freight costs of $560:
Freight expense (expense) $560
Cash (asset) $560
3. On June 12, goods totaling $600 are returned to Monty for credit:
Accounts payable (liability) $600
Inventory (asset) $600
4. On June 19, Metlock, Inc pay Monty Company in full, less the purchase discount:
Accounts payable (liability) $7,400
Purchase discounts (contra expense) $222 [($7,400 x 3%) = $222]
Cash (asset) $7,178
Note that the purchase discount is calculated as $7,400 x 3%, or $222.
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Can you solve this question?
f'(3)=?
Answer:
Step-by-step explanation:
[tex]f(x)=16e^x-ex^e[/tex]
[tex]f'(x)=16e^x-e^2x^{e-1}[/tex]
[tex]f'(3)=16e^3-e^23^{e-1}[/tex]
[tex]f'(3)=e^2(16e-3^{e-1})[/tex]
Points Scored by Teams
Team Points
A 30
B 35
C 20
D 30
E 15
mean of points=____
-21
-26
-22
To find the mean of the points scored by the teams, we need to add up all the points and divide by the number of teams:
Mean = (30 + 35 + 20 + 30 + 15) / 5
Mean = 130 / 5
Mean = 26
Therefore, the mean of the points scored by the teams is 26.
Answer:
answer is 26
Step-by-step explanation:
add the five numbers and divide them by the number you add them(that means by 5) and it comes
[tex] \frac{30 + 35 + 20 + 30 + 15 \\}{5} = \frac{130}{5} = 26[/tex]
PLEASE HELP. tons of points for reward
answer like this…
69)
70)
71)
72)
Step-by-step explanation:
69) If 10 packages of shallots cost $40, then the cost of one package of shallots can be calculated as:
$40 ÷ 10 packages = $4 per package
To find out how many packages of shallots can be purchased with $8, divide the total amount of money by the cost per package:
$8 ÷ $4 per package = 2 packages
Therefore, with $8, you can buy 2 packages of shallots.
70) If three Bosc pears cost $2, we can use a proportion to determine how many pears we can buy for $4:
3 pears / $2 = x pears / $4
Cross-multiplying, we get:
3 pears × $4 = $2 × x pears
Simplifying, we get:
12 = 2x
Dividing both sides by 2, we get:
x = 6
Therefore, with $4, you can buy 6 Bosc pears.
71)If the exchange rate is 11 pounds for every $2, we can use a proportion to determine how many pounds we can get if we exchange $4:
11 pounds / $2 = x pounds / $4
Cross-multiplying, we get:
11 pounds × $4 = $2 × x pounds
Simplifying, we get:
44 = 2x
Dividing both sides by 2, we get:
x = 22
Therefore, if you exchange $4, you can get 22 pounds.
72) If 9 packages of basil cost $27, we can use a proportion to determine how many packages of basil we can buy for $9:
9 packages / $27 = x packages / $9
Cross-multiplying, we get:
9 packages × $9 = $27 × x packages
Simplifying, we get:
81 = 27x
Dividing both sides by 27, we get:
x = 3
Therefore, with $9, you can buy 3 packages of basil.
Help really hard please
Answer:
[tex]\large\boxed{\tt x^{\frac{5}{6}} + 2x^{\frac{7}{3}}}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked to simplify the given expression.}[/tex]
[tex]\textsf{We should use the \underline{Distributive Property, and Rule of Multiplying Exponents.}}[/tex]
[tex]\boxed{\begin{minipage}{25 em} \underline{\textsf{\large Distributive Property;}} \\ \\ \textsf{Distributive Property is a property that allows us to multiply the term to the left of the parentheses with the terms inside the parentheses.} \\ \\ \underline{\textsf{\large Example;}} \\ \tt a(b+c) = \boxed{\tt ab+ac} \end{minipage}}[/tex]
[tex]\boxed{\begin{minipage}{25 em} \underline{\textsf{\large Rule of Multiplying Exponents;}} \\ \\ \textsf{Whenever we have to multiply 2 terms with exponents, it's important to know the Rule of Multiplying Exponents. This rule states that whenever 2 exponential terms multiply together, their exponents add together. }\\ \\ \underline{\textsf{\large Example;}} \\ \tt x^{3} \times \tt x^{4} = x^{3+4} = \boxed{\tt x^{7}} \end{minipage}}[/tex]
[tex]\large\underline{\textsf{Solving;}}[/tex]
[tex]\textsf{We should first use the Distributive Property, then use the Rule of Multiplying}[/tex]
[tex]\textsf{Exponents.}[/tex]
[tex]\tt x^{\frac{1}{3}} (x^{\frac{1}{2}} + 2x^{2})[/tex]
[tex]\underline{\textsf{Use the Distributive Property;}}[/tex]
[tex]\tt x^{\frac{1}{3}} (x^{\frac{1}{2}} + 2x^{2}) = (x^{\frac{1}{3}} \times x^{\frac{1}{2}}) + (x^{\frac{1}{3}} \times 2x^{2})[/tex]
[tex]\underline{\textsf{Use the Rule of Multiplying Exponents;}}[/tex]
[tex]\tt (x^{\frac{1}{3}} \times x^{\frac{1}{2}}) + (x^{\frac{1}{3}} \times 2x^{2}) = x^{\frac{1}{3} + \frac{1}{2}} + 2x^{\frac{1}{3} + \frac{2}{1} }[/tex]
[tex]\underline{\textsf{Find Common Denominators per fractions;}}[/tex]
[tex]\tt x^{\frac{1}{3} + \frac{1}{2}} + 2x^{\frac{1}{3} + \frac{2}{1}} = x^{\frac{2}{6} + \frac{3}{6}} + 2x^{\frac{2}{6} + \frac{12}{6}}[/tex]
[tex]\underline{\textsf{Add;}}[/tex]
[tex]\tt x^{\frac{2}{6} + \frac{3}{6}} + 2x^{\frac{2}{6} + \frac{12}{6}} = x^{\frac{5}{6}} + 2x^{\frac{14}{6}[/tex]
[tex]\underline{\textsf{Simplify Fractions;}}[/tex]
[tex]\large\boxed{\tt x^{\frac{5}{6}} + 2x^{\frac{7}{3}}}[/tex]
How much do we need to invest each year at a rate of 8% compounded annually so that we have a total of $600,000 saved in 25 years?
Answer:
In this problem, we have to use the formula
[tex]P= \frac{A}{(1+\frac{r}{n})^{nt} }[/tex]
A = $600,000.00
n = 1 (annually)
t = 25 years
First, convert R as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 per year,
Then, solve the equation for P
[tex]P= \frac{A}{(1+\frac{r}{n})^{nt} }[/tex]
[tex]P= \frac{6000000}{(1+\frac{0.8}{1})^{1*25} }[/tex]
P = $87,610.74
The principal investment required to get a total amount of $600,000.00 from compound interest at a rate of 8% per year compounded annually over 25 years is $87,610.74.