The compound interest is solved and answer to part b) is not double the answer to part a) because the interest is compounded monthly, not annually.
Given data ,
To calculate how much was in Tristan's account at the end of one year, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where A is the amount at the end of the time period, P is the principal (the initial deposit), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the time in years.
In this case, P = $750, r = 0.0325, n = 12 (since the interest is compounded monthly), and t = 1. Plugging in these values, we get:
A = $750(1 + 0.0325/12)⁽¹²ˣ¹⁾ = $8,086.43
Therefore, there was $8,086.43 in Tristan's account at the end of one year.
b)
To calculate how much was in Tristan's account at the end of two years,
t = 2,
A = $750(1 + 0.0325/12)⁽¹²ˣ²⁾ = $16,575.29
Hence , there was $16,575.29 in Tristan's account at the end of two years
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You got a new TV. The dimensions of the TV are 48 inches by 27 inches. What is the size of
the TV?
What is the circumference of a circular amphitheater with a diameter of 300 meters?
Answer:
942.48 meters
Step-by-step explanation:
The circumference of a circle can be calculated using the formula:
Circumference = π * Diameter
where π (pi) is a mathematical constant approximately equal to 3.14159.
Given a diameter of 300 meters, we can calculate the circumference as follows:
Circumference = 3.14159 * 300
Circumference ≈ 942.48 meters
Therefore, the circumference of a circular amphitheater with a diameter of 300 meters is approximately 942.48 meters.
Can someone please help me with this
[tex]\sqrt{252} ~~ \begin{cases} 252=&2\cdot 2\cdot 3\cdot 3\cdot 7\\ &2^2\cdot 3^2\cdot 7\\ &(2\cdot 3)^2\cdot 7\\ &6^2\cdot 7 \end{cases}\implies \sqrt{6^2\cdot 7}\implies 6\sqrt{7}[/tex]
1,3,5,7,9…. What is the next number
Answer: 11
Step-by-step explanation:
this is a sequence of odd numbers.
it goes;
1,3,5,7,9,11,13,15,17,19,21,23....
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
You pick a card at random. Without putting the first card back, you pick a second card at random.
3
4
5
6
What is the probability of picking an odd number and then picking an odd number?
Write your answer as a fraction or whole number.
The probability of picking an odd number and then picking an odd number when two cards are drawn without replacement from a set of four cards labeled 3, 4, 5 and 6 is 1/6 or approximately 1667/10000 .
The probability of picking an odd number and then picking an odd number when two cards are drawn without replacement from a set of four cards labeled 3, 4, 5 and 6 can be found by using conditional probability.
The probability of the first card being odd is 2/4 (since there are two odd numbers out of four cards). If the first card was odd and not replaced, the number of cards remaining is three, with only one odd card. Therefore, the probability of picking an odd number again is 1/3.
So, the probability of picking an odd number and then picking an odd number is the product of the probabilities of picking an odd number in the first draw and picking an odd number in the second draw, given that the first draw resulted in an odd number.
P(Odd, Odd) = P(Odd on the first draw) * P(Odd on the second draw given that the first draw was odd)
P(Odd, Odd) = (2/4) * (1/3)
P(Odd, Odd) = 2/12
P(Odd, Odd) = 1/6 or approximately 0.1667
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Zuri wanted to put new carpet in her bedroom. Her bedroom is the shape of a rectangle and measures 12 feet by 12 feet. The carpet she likes costs $4.00 per square foot.
Determine the cost of the carpet and then answer these two questions below:
1. Explain how you figured out the cost of the carpet.
2. What is the cost of the carpet?
Step-by-step explanation:
Area = 12 ft x 12 ft = 144 ft^2
Cost = 144 ft^2 * $ 4/ ft^2 = $ 576
5C1 evaluate need quick
The combination is evaluated to give 20
How to evaluate the combinationFrom the information given, we have the expression as;
⁵C₁
The formula for calculating combination is expressed as;
ⁿCᵣ = n! / (r!(n-r)!)
Such that the parameters of the formula are expressed as;
n = 5 r = 1Now, substitute the values into the formula, we have;
⁵C₁ = 5! / (1!(5-1)!)
= 5! / (1! × 4!)
Find the permutation, we have;
= (5 × 4 × 3 ×2 × 1) / (1 × (4 × 3 × 2 × 1))
Divide the values, we get;
= 20 / 1
Find the value
= 20
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State a research question, null hypothesis, and alternate hypothesis for gpa anc Step 2: Write Section 2 of the DAA: Testing Assumptions Test for one of the assumptions of correlation - normality. • Create a descriptive statistics table in statistical software to assess normality. Th include the four variables named above, including skew and kurtosis for each va • Paste the table in the DAA Template. • Interpret the skewness and kurtosis values and determine whether the assumpti normality was violated or not violated. Step
The research question is whether there is a significant relationship between GPA and the four variables, and the assumption of normality is tested by creating a descriptive statistics table with skewness and kurtosis values to determine if the variables follow a normal distribution.
Research question: Is there a significant relationship between GPA and the four variables (variable names not provided)?
Null hypothesis (H0): There is no significant relationship between GPA and the four variables.
Alternative hypothesis (Ha): There is a significant relationship between GPA and the four variables.
Step 2: Testing Assumptions - Normality
Research question: Is the assumption of normality violated for the four variables?
Null hypothesis (H0): The distribution of the four variables follows a normal distribution.
Alternative hypothesis (Ha): The distribution of the four variables does not follow a normal distribution
Next, you are instructed to create a descriptive statistics table in statistical software to assess normality. The table should include the four variables, along with their skewness and kurtosis values. Once you have created the table, you should paste it into the DAA Template.
After pasting the table, you will interpret the skewness and kurtosis values. Skewness measures the symmetry of the distribution, where a skewness value of 0 indicates perfect symmetry.
Positive skewness indicates a right-skewed distribution, while negative skewness indicates a left-skewed distribution. Kurtosis measures the peakedness or flatness of the distribution, with a kurtosis value of 3 indicating a normal distribution.
Positive kurtosis indicates a more peaked distribution (leptokurtic), while negative kurtosis indicates a flatter distribution (platykurtic).
Based on the skewness and kurtosis values, you will determine whether the assumption of normality is violated or not violated for the four variables.
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Fred has a great idea for a new product. However, he can only invest $11,919 to start up the company. He asks a three other
individuals to invest in his company. The other three investors bring the total investment to start the company to $285,763.
What percent of the company does the three other individuals own? Round your answer to the nearest tenth of a percent.
Answer:
He owns about 4.17% or 4% so the others own about 95.83% or 96% but sense it rounds to the nearest tenth your answer would be 95.8%
Step-by-step explanation:
You can figure this out by doing 11,919 divided by 285,763 in order to figure out the percentage of the company he owns and then just do 100 - your answer.
Step-by-step explanation:
First, we need to find out how much money the three other individuals invested in the company. To do that, we'll subtract Fred's investment from the total investment:
Total investment = 285,763
Fred's investment = 11,919
Investment from the three other individuals = Total investment – Fred's investment
Investment from the three other individuals = 285,763 – 11,919
Investment from the three other individuals = 273,844
Now, to calculate the percentage of ownership for the three individuals, we'll divide their combined investment by the total investment and multiply by 100:
Percentage of ownership = (Investment from the three other individuals / Total investment) * 100
Percentage of ownership = (273,844 / 285,763) * 100
Percentage of ownership ≈ 95.8%
So, the three other individuals own approximately 95.8% of the company. Since the question asks to round to the nearest tenth, the answer is 95.8%.
1. Define the term "green party." Conduct research and find one green party. Briefly discuss the party that you found in your research.
2. Conduct an internet search on the National Environmental Education Act on this site: https://www.epa.gov/education. Read through the site. visit all the links. Write a few paragraphs about information you learn from these sections.
3. How do some conditions of urban areas affect the species that live in the area? Give one example.
4. How do societal attitudes of developed countries differ from those of undeveloped countries?
5. How do the global aspect of environmental issues positively or negatively impact local environmental issues?
Also why do all of my question end up getting banned i'm so confused how am i violating any rules??
1. Green Party: Political party prioritizing environmental issues, sustainability, and social justice.
2. The National Environmental Education Act promotes environmental education and awareness.
3. Urban conditions impact species by habitat loss and fragmentation.
4. Developed countries prioritize environmental conservation; undeveloped countries focus on development.
1. A green party is a political party that prioritizes environmental issues, sustainability, and social justice. One example of a green party is the Green Party of Germany (Bündnis 90/Die Grünen).
Founded in 1980, they advocate for renewable energy, climate protection, social equality, and grassroots democracy.
They have been part of coalition governments in Germany and have influenced national and European environmental policies.
2. The National Environmental Education Act is a United States federal law that was enacted in 1990 to promote environmental education and awareness among students and the general public.
The Act established the Office of Environmental Education within the Environmental Protection Agency (EPA) to provide funding for environmental education programs and to develop and disseminate environmental education materials.
3. Urban areas can have various negative impacts on species that live in the area. One example is the loss of natural habitat due to urban development.
When forests or wetlands are cleared to make way for buildings or roads, it disrupts the habitat of many species, leading to population declines and biodiversity loss.
4. Societal attitudes in developed countries often prioritize environmental conservation, sustainability, and environmental regulations.
There is generally greater awareness and concern for issues such as climate change, pollution, and resource depletion. In contrast, societal attitudes in undeveloped countries may vary, with more immediate concerns such as poverty and economic development taking precedence over environmental concerns.
5. The global aspect of environmental issues can have both positive and negative impacts on local environmental issues. Positively, global awareness and collaboration can lead to knowledge sharing, resources, and support for local initiatives.
Negatively, global demands and policies may prioritize economic growth, leading to environmental degradation and challenges for local communities.
Regarding the issue with banned questions, I apologize for any inconvenience caused.
The moderation system is in place to ensure compliance with community guidelines and prevent misuse of the platform. It's possible that certain questions may trigger filters due to sensitive topics, inappropriate content, or excessive repetition.
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Brainliest for the correct answer who put in the answer first. please help me.
Answer: {m∠HLI = m∠ILM}
Examining the figure the option that must be true is
D. m< HLI = m< ILM
How to get the correct optionThe knowledge of angle on a straight line which is 180 degrees is used here,
Using the given angles and the concept of adjacent angles we have that
angle GLH = 150 - 60 = 60
Using angles on a straight line being 180 degrees we have that
angle ILJ = 180 - 60 - 60 - 30 - 15 = 15 degrees
Using adjacent angles
angle ILM = 15 + 15 = 30 degrees
hence we can say that m< HLI = m< ILM
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HELP WILL GIVE BRAINLESS IF U ANSWER THIS ONE'S AND THE OTHER ONES
Answer:
c. 3 ft by 4 ft by 5 ft
Step-by-step explanation:
You want to know which sets of measurements can form a triangle.
Triangle inequalityThe triangle inequality requires ...
a + b > c
for any assignment of a, b, c to side lengths. If 'a' and 'b' are the two shortest sides, satisfying this inequality will also satisfy any other arrangement.
Choicesa. 3 + 4 > 9 . . . . falseb. 5 + 5 > 10 . . . . falsec. 3 + 4 > 5 . . . . TRUEd. 9 + 11 > 20 . . . . falseOnly the side lengths 3 ft, 4 ft, 5 ft will form a triangle.
__
Additional comment
As we said the other arrangements of the triangle inequality are also satisfied for these numbers:
4 + 5 > 3
3 + 5 > 4
The garden with side lengths 3, 4, 5 will have the shape of a right triangle.
|7+(-12)|+|-16| add this together
Answer: 21
Step-by-step explanation:Given:
|7 + (-12)| + |-16|
Absolute value of -16:
|7 + (-12)| + 16
Addition times subtraction is subtraction:
|7 - 12| + 16
Subtract:
|-5| + 16
Absolute value of -5:
5 + 16
Add:
21
Task 8: Solving for Systems of Linear Equations: Determining "intersection" point.
By successfully writing equations to define each red line, you are now to solve for where those
lines might meet on your coordinate grid.
•
●
●
Select two lines, preferably two that cross on your blueprint, and use the substitution
method to solve for their intersection point.
Mark each intersection point using a YELLOW POINT on your blueprint.
Repeat this for a total of three intersecting lines.
Example problem:
Y = -2X + 14 and Y = 3X-7
Intersection point = (4.2, 5.6)
-2X+14=3X-7
-2X=3X-21
5X=-21
X = 4.2
Y = -2(4.2) + 14
Y = -8.4 + 14
Y = 5.6
Marking the intersection points on the blueprint with yellow points:
Intersection point of Equations 1 and 2: (7, 0)Intersection point of Equations 1 and 3: (11.2, -8.4)Intersection point of Equations 2 and 3: (3.6, 3.8)How to determine intersection point?To solve for the intersection points of three lines.
Equation 1: Y = -2X + 14
Equation 2: Y = 3X - 7
Equation 3: Y = 0.5X + 2
To find the intersection point of Equations 1 and 2, use the substitution method.
Substituting Equation 1 into Equation 2:
-2X + 14 = 3X - 7
Adding 2X and subtracting 14 from both sides:
-2X + 2X + 14 = 3X + 2X - 7 - 14
14 = 5X - 21
Adding 21 to both sides:
14 + 21 = 5X
35 = 5X
Dividing both sides by 5:
X = 7
Now substitute X = 7 back into Equation 1 to find the corresponding Y value:
Y = -2(7) + 14
Y = -14 + 14
Y = 0
Therefore, the intersection point of Equations 1 and 2 is (7, 0).
To find the intersection point of Equations 1 and 3, use the same substitution method.
Substituting Equation 1 into Equation 3:
-2X + 14 = 0.5X + 2
Adding 2X and subtracting 14 from both sides:
-2X + 2X + 14 = 0.5X + 2X - 14
14 = 2.5X - 14
Adding 14 to both sides:
14 + 14 = 2.5X
28 = 2.5X
Dividing both sides by 2.5:
X = 11.2
Now substitute X = 11.2 back into Equation 1 to find the corresponding Y value:
Y = -2(11.2) + 14
Y = -22.4 + 14
Y = -8.4
Therefore, the intersection point of Equations 1 and 3 is (11.2, -8.4).
To find the intersection point of Equations 2 and 3, substituting Equation 2 into Equation 3:
3X - 7 = 0.5X + 2
Subtracting 0.5X and adding 7 to both sides:
3X - 0.5X = 0.5X + 2 + 7
2.5X = 9
Dividing both sides by 2.5:
X = 3.6
Now substitute X = 3.6 back into Equation 2 to find the corresponding Y value:
Y = 3(3.6) - 7
Y = 10.8 - 7
Y = 3.8
Therefore, the intersection point of Equations 2 and 3 is (3.6, 3.8).
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A dairy needs 372 gallons of milk containing 6% butterfat. How many gallons each of milk containing 7% butterfat and milk containing 3% butterfat must be used to obtain the desired 372 gallons?
what is greater -19/2 or -1.2
Answer:
-1.2 is greater than -19/2.
plss help me for brainleist
[tex]\large \maltese \:{ \underline { \underline{ \pmb{ \sf{SolutioN }}}}} : -[/tex]
we have given ,
∠ A = 60°∠ B = 60°∠ C = ?? ( to be calculated)★ According to Angle sum property of triangle, the sum of interior angles of a triangle is 180°.
➝ ∠ A + ∠ B + ∠ C = 180°
➝ 60° + 60° + ∠ C = 180°
➝ 120° + ∠ C = 180°
➝ ∠ C = 180° - 120°
➝ ∠ C = 60°
Now,
★ Calculating for x :-
↝ ∠ C + x = 180°
↝ 60° + x = 180°
↝ x = 180° - 60°
↝ x = 120°
Hence, The value of x will be 120°.
Answer:
The major of the exterior angle is 120°
Step-by-step explanation:
In given triangle we have to find the value of exterior angle and in interior of the triangle there are two angles 60 degree and second one is also 60 degree and we have to find value of exterior angle which is x.
So, here we apply exterior angle property which is exterior angle is equal to the sum of the two interior opposite angles. Here, there are two opposite interior angles so we have to add these two and we get the value of exterior angle.
Exterior angle property :-
[tex] \implies \sf \angle60 \degree + \angle60 \degree[/tex]
[tex] \implies\angle120 \degree[/tex]
Additional information :-Some important properties :-
Exterior angle property :- An exterior angle of a triangle is equal to the sum of its interior opposite angles.
Angle sum property :- The total measure of the three angles of a triangle is 180°
The table shows the median annual salaries for two different jobs. Median Annual Salaries Job Marketing Manager Financial Analyst Median Annual Salary (dollars) 115,750 76,950 Based on the information in the table, how much more money would a marketing manager earn than a financial analyst over 10 years.
F $38,800
G $1,927,000
H $388,000
J $192,700
pls help!
The amount that Marketing Manager earn more than a Financial Analyst over 10 years is $388,000. The Option H.
How much more will Marketing earn than Financial Analyst?To get how much more a Marketing Manager will earn than a Financial Analyst, we have to calculate the difference in their median annual salaries and multiply by 10.
The difference in median annual salaries is:
= $115,750 - $76,950
= $38,800
The amount earned more by a Marketing Manager over 10 years is:
= $38,800 x 10
= $388,000.
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Give the coordinates of the point in the graph below.
-5
A
32
-3 -2
-1
-4
-3-
2-
0
-1-
--2-
-3-
-4
-5
-N-
2
3
4
5.
The coordinates of the point in the graph is (3, 2)
How to determine the coordinates of the point in the graphFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the following
The point is 3 units to the right of the x-axisThe point is 2 units above the y-axisRepresent the point with x
So, we have
X = (3, 2)
Hence, the coordinates of the point in the graph is (3, 2)
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What is a the center and radius
Za kingdom charges according to this table. how much does Za Kingdom charge for each pizza
The amount that Za Kingdom charges for each pizza is $8.
How to determine the amount charged by Za kingdomTo determine the amount charged by Za Kingdom, we first note that the cost of each pizza plus the delivery fee is $21.
Assuming the basic price to be $8 and the delivery fee of $13, we have the sum of $21. So, for 3 pizzas, we will have 8 times 3 = 24 + 13 = 37
Also, the amount for 10 pizzas will be 8 times 10 = 80 + 13 = 93. So, the price of each pizza is $8.
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Hannah has two ribbons. One is 1 3/4 feet. The second ribbon is 3 feet long . How many inches of ribbon does Hannah have
The length of ribbon that Hannah has is 57 inches.
What is the length of the ribbon?The length of the ribbon that Hannah has can be determined by adding the length of each ribbon together. Addition is the process of determining the sum of two or more numbers.
Before the addition can be done, feet has to be converted to inches.
1 foot = 12 inches
1 3/4 x 12
= 7/4 x 12 = 21 inches
3 x 12 = 36 inches
Total length of the ribbons = 21 + 36 =57 inches
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Use the parabola tool to graph the quadratic function f(x)=3x^2+6x-24
Answer:(-4,0) (2,0)
Step-by-step explanation:
the points will be (-4,0) & (2,0) while the parabola is concave up
Find the measure of the arc or angle indicated.
The measure of angle m∠XKZ is 218°.
What is an angle?An angle is formed when two straight lines or rays meet at a common endpoint.
The six types of angles are,
Acute Angles.Obtuse Angles.Right Angles.Straight Angles.Reflex Angles.Full Rotation.To find the measure of angle m∠XKZ, we use the formula below
Formula:
m∠XKZ+m∠XYZ = 180 (Opposite angles of a cyclic quadrilateral are supplementery)From the question,
Given:
m∠XKZ = 6x-7m∠XYZ = 7x-8Substitute these values into equation 1 and solve for x
(6x-7)+(7x-8) = 180°13x-15 = 180°13x = 180+1513x = 193x = 195/13x = 15Hence, m∠XKZ = [(15×15)-7] = 218°
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Convert 1110100 base 2 to base 10
Step by step explanation
DIRECTIONS: Find the area of the shaded region.
Pls help!!!!!!!!!!!!!!!!
The radical expression [tex]\sqrt[4]{x^5}[/tex] written as an expression with a rational exponent include the following: A. [tex]\sqrt{x^{\frac{5}{4} }}[/tex]
What is an exponent?In Mathematics, an exponent is a mathematical operation that is commonly used in conjunction with an algebraic equation or expression, in order to raise a given quantity to the power of another.
Mathematically, an exponent can be represented or modeled by this mathematical expression;
bⁿ
Where:
the variables b and n are numbers (numerical values), letters, or an algebraic expression.n is known as a superscript or power.By applying the law of exponents for powers to the given radical expression [tex]\sqrt[4]{x^5}[/tex], we would have the following simplified expression:
[tex]\sqrt[4]{x^5}=\sqrt{x^{5 \times \frac{1}{4}}}\\\\\sqrt{x^{5 \times \frac{1}{4} }}}=\sqrt{x^{\frac{5}{4} }}}[/tex]
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I need help with part C. Statistics-based.
10.8
.......................................
THe blanks for 1 Pt 2 are both , Mean, Median, mode, standard devidation, range.
The Mean = 9.778
The Median = 9
The Mode = 5 and 10
The Standard deviation = 6.21
The Range = 22
What are the Mean, Median, Mode, Standard Deviation and Range?Mean:
To get, we will sum up all the values and divide by the total number of values.
Mean - Ef/n
Mean = (4 + 5 + 5 + 8 + 9 + 10 + 10 + 11 + 26) / 9
Mean = 88 / 9
Mean = 9.778
Median:
This means middle value of a dataset when arranged in ascending order. If there are two middle values, median is average of the two.
Arranging dataset in ascending order: 4, 5, 5, 8, 9, 10, 10, 11, 26. The Median is 9.
Mode:
The mode is the value that occur(s) most frequently in the dataset. In this dataset, the mode is 5 and 10 as both occur twice.
Standard Deviation:
Variance = [[tex](4 - 9.778)^2 + (5 - 9.778)^2 + (5 - 9.778)^2 + (8 - 9.778)^2 + (9 - 9.778)^2 + (10 - 9.778)^2 + (10 - 9.778)^2 + (11 - 9.778)^2 + (26 - 9.778)^2] / 9[/tex]
Variance = 38.617284
Variance = 38.62
Standard Deviation = √Variance
Standard Deviation = √38.62
Standard Deviation = 6.21449917532
Standard Deviation = 6.21
Range:
The range is difference between maximum and minimum values
Range = 26 - 4
Range = 22
b. The outline for the data set is as follows:
Minimum value: 4First quartile (Q1): 5Median: 9Third quartile (Q3): 10Maximum value: 26Read more about centre of measures
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19. Randomly assigning the _____ units across the treatment groups is called randomization.
A partial
B experimental
C whole
D population
The correct answer is A) partial.
Randomization is the process of randomly assigning the study participants or experimental units to the different treatment groups.
This helps to ensure that any differences observed between the groups are due to the treatment and not some other extraneous factor. Partial randomization refers to the random assignment of a subset of units to the treatment groups, while other units may be assigned in a non-randomized manner, such as based on convenience or some other criteria. Experimental, whole, and population randomization are not commonly used terms in research methodology.
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