Mr. Butterfunger loans $28,000 at simple interest to his butter
business. The loan is at 6.5% and earns 1365€ interest. What is the
time of the loan in months?
In order to find the time of the loan in months, we can use the formula for simple interest.
I = P * r * t
I = 1365€ (interest earned).
P = $28,000 (principal amount).
r = 6.5% = 0.065 (interest rate in decimal form).
We can rearrange the formula to solve for t.
t = I / (P * r).
Substituting the values.
t = 1365€ / (28000€ * 0.065).
t ≈ 0.75.
Since there are 12 months in a year, we can multiply the result by 12.
t (months) = 0.75 * 12 ≈ 9 months.
Therefore, the time of the loan is approximately 9 months.
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What is the minimum pressure required to reduce volume of a brass sphere by 0.00003 %?
Brass is an alloy of copper and zinc with a density of approximately 8.5 g/cm³. In addition, brass is a malleable and ductile metal that can be bent, stretched, and compressed without breaking. The sphere's volume can be reduced using a minimum pressure of 12,750 Pa.
First, let us comprehend the formula used in this case: Percentage decrease in volume = (change in volume/original volume) x 100. Now, we will obtain the change in volume.
Change in volume = (percentage decrease in volume/100) x Original volume
Here, percentage decrease in volume = 0.00003 %
Original volume can be derived from the formula of the volume of a sphere, which is:
V = 4/3πr³
As a result, the following is the equation for the original volume:
V = 4/3 π (d/2)³ = πd³/6
Where d is the diameter of the brass sphere.
Now we can find the change in volume:
Change in volume = (0.00003/100) x πd³/6
The change in volume is calculated to be 0.00000157πd³.
According to the formula of pressure, pressure = force/area, we can find the force necessary to decrease the volume by the required percentage using the Young’s modulus of brass, which is approximately 91 GPa (gigapascals) or 91 × 10⁹ Pa (pascals).
So, we can write:
Force = Young's modulus x (Change in volume/Original volume) x (Original diameter)²/4
Thus, the force needed to decrease the volume of the sphere is as follows:
F = 91 × 10⁹ x (0.00000157πd³) / (πd³/6) x (d/2)²
F = 3.53 × 10⁷ d² N
Finally, we can find the minimum pressure required to reduce the volume by dividing the force by the surface area of the sphere.
Minimum pressure = F/ Surface area of the sphere
= F/(4πr²)
= 3.53 × 10⁷ d²/ (4π (d/2)²)
= 12,750 Pa approximately
Therefore, the sphere's volume can be reduced using a minimum pressure of 12,750 Pa.
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What is the domain and range of graph!!! 10 points!!!
Answer:
THIRD OPTION - Domain: (0, infinity)
Range: (-infinity, + infinity)
Step-by-step explanation:
The graph is an asymptote, therefore the domain must start at 0 and end at infinity. The range is all real numbers because eventually it will reach all y values.
find the area to the right of 23.337 under the chi-square distribution with 12 degrees of freedom. group of answer choices a. 0.025 b. 0.0125 c. 0.0375 d. 0.975
The area to the right of 23.337 under the chi-square distribution with 12 degrees of freedom is 0.0125.
In statistics, the chi-square distribution is a continuous probability distribution that is widely used in inferential statistics. The area to the right of a certain value can be calculated using a chi-square table or a computer program. In this case, we want to find the area to the right of 23.337 under the chi-square distribution with 12 degrees of freedom. Using a chi-square calculator or a chi-square table, we can determine that this area is 0.0125. This means that there is a 1.25% chance of getting a chi-square value greater than 23.337 with 12 degrees of freedom. This type of calculation is often used in hypothesis testing and other statistical analyses.
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The volume of a sphere with a diameter of 6cm, rounded to the nearest tenth
Answer:
113.1 cm³
Step-by-step explanation:
diameter = 2 X radius
Volume of sphere = (4/3) X π X r ³
= (4/3) π (3)³
= 36π
= 113.1 cm³ to nearest tenth
Reading a text message takes eyes off the road for about 4. 6 seconds according to a study. If you are traveling 60 mph and check a text message while you are driving. How far did you travel with you eyes off the road?
You have travel a distance of 0.077 miles with your eyes off the road.
Speed is the ratio between the distance traveled and the total amount of time spent.
v = d / t
where v = speed
d = distance
t = time
Based on the problem, you are traveling at a speed of 60mph and it took you about 4.6 seconds with eyes off the road. Substitute these values into the equation and solve for the distance traveled with eyes off the road.
v = d / t
60 mph = d / 4.6 s
d = 60 mph(4.6 s)(1 h/3600 s)
d = 0.077
distance = 0.77 miles
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plspls help!
substitute x = 2 and y = 4 into the following and evaluate.
8x/y + 2x
Answer:
8
Step-by-step explanation:
8*2/4 + 2*2
4 + 4 = 8
Have a nice day! :-)
the substitute of the question is 8
Enter the letters of the points that are on the graph of $y = 6$.
Answer: E
Step-by-step explanation: On the y axis go 6 spaces up and E will be 6 spaces to the right.
What is the measurement, in degrees, of angle 3?
Answer:
<3=140
Step-by-step explanation:
140 and <3 are corresponding . Two angles in the same position are called corresponding angles. They have the same measure if the original two lines are parallel.
pls answer i need help
Answer:
Step-by-step explanation:
its c
The following histogram was compiled as part of a survey taken door to door on a Monday morning from 10 A.M. to 2 P.M.
It lists the ages of the respondents. What is a reasonable explanation for the large gap?
I'd really appreciate the answer to this. Please and thank you :).
Data from a voluntary response sample, which is not representative of the population, are included in the histogram.
What is meant by histogram?A histogram is a bar graph-like data visualization that groups various class levels into columns along the horizontal x-axis. Each column's data count or percentage of occurrences are shown on the vertical y-axis. Data distribution patterns can be seen visually using columns.
A common tool for graphing is the histogram. It is employed to summarise continuous or discrete data that is measured on an interval scale. It is frequently used to provide a convenient manner of illustration for the main characteristics of the data distribution.
Histograms show numerical or quantitative data, whereas bar charts show categorical factors.
Therefore, the correct answer is option b) The histogram includes data from a voluntary response sample which is not representative of the population.
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PQRS is a parallelogram, m∠P=121∘ , and m∠S=(7x−4)∘ .
What is the value of x?
Answer:
Step-by-step explanation:
121+7x-4=180
7x-4=180-121=59
7x=59+4=63
x=63/7
x=9
It will be nice if you give me brainliest. Good luck!
Which is a recursive formula for the sequence 50, 54, 58, 62, …?
A. an=4n+46
B. {a1=50an=an−1+4, where n≥2
C. an=4n+50
D. {a1=46an=an−1+4, where n≥2
Answer:
66
Step-by-step explanation:
50+4=54 all u have to do is keep adding 4
3 women and 2 men are on a tv game show. What are the odds that a woman will win?
Answer:
3/5 or 60%
Step-by-step explanation:
Four friends participated in a speed-typing contest. Who has the slowest typing speed?
A.
Georgie: 320 words in 8 minutes
B.
Tara: 403 words in 10 minutes
C.
Frank: 474 words in 12 minutes
D.
Lupe: 567 words in 14 minutes
Let's find the unit rate for each contestant, OK ?
Georgie: 320 words in 8 minutes.
320/8 = 40.0 words per minute
Tara: 403 words in 10 minutes
403/10 = 40.3 words per minute
Frank: 474 words in 12 minutes
474/12 = 39.5 words per minute
Lupe: 567 words in 14 minutes
567/14 = 40.5 words per minute
Frank is slowest, at 39.5 wpm.
Georgie is next, at 40.0 wpm.
Tara is next, at 40.3 wpm.
Lupe is fastest, at 40.5 wpm, just barely beating out Tara.
as soon as possible please!!! a=4 b=7 2a2 • - 4b - 4a(b-a) = [ 72a2 - 4b - 4a(b - a) = [?]
The expression 2a^2 - 4b - 4a(b-a) = -44 when a=4 and b=7. and 72a^2 - 4b - 4a(b - a) = 1076 when a=4 and b=7.
Evaluate the given expressions for teh values of a and bFor a=4 and b=7, we have the following solutions of the expression (a)
2a^2 - 4b - 4a(b-a) = 2(4)^2 - 4(7) - 4(4)(7-4)
= 2(16) - 4(7) - 4(4)(3)
= 32 - 28 - 48
= -44
Therefore, 2a^2 - 4b - 4a(b-a) = -44 when a=4 and b=7.
Similarly,we have the following solutions of the expression (b)
72a^2 - 4b - 4a(b - a) = 72(4)^2 - 4(7) - 4(4)(7-4)
= 72(16) - 28 - 48
= 1152 - 76
= 1076
Therefore, 72a^2 - 4b - 4a(b - a) = 1076 when a=4 and b=7.
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The probability P(Z>1.28) is closest to: (a) −0.10
(b) 0.10
(c) 0.20
(d) 0.90
Answer:
Step-by-step explanation:
The probability P(Z>1.28) represents the area under the standard normal distribution curve to the right of the z-score 1.28.
Using a standard normal distribution table or a calculator, we find that the area to the right of 1.28 is approximately 0.1003.
Therefore, the answer is closest to option (b) 0.10. there is a 10% chance of obtaining a value above 1.28 in a standard normal distribution.
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write the following numbers in words 2740253535
Answer:
Two billion, seven hundred forty million, two hundred fifty-three thousand, five hundred thirty-five is the right answer...
superior segway tours gives sightseeing tours around chicago, illinois. it charges a one-time fee of $45, plus $25 per hour. what is the slope of this situation?
If they charges a one-time fee of $45, plus $25 per hour, then the the slope of this situation is $25 per hour.
The situation described can be represented by the linear equation
Cost = $45 + $25 × hours
where "Cost" is the total cost of the tour and "hours" is the number of hours for which the tour is taken.
The slope of this equation represents the rate of change in the cost of the tour with respect to the number of hours.
In other words, it tells us how much the cost increases for each additional hour of the tour.
The slope of this equation is simply the coefficient of the "hours" variable, which is $25.
Therefore, the slope of this situation is $25 per hour.
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Answer:
$25 per hour.
Step-by-step explanation:
What is the answer ?
Answer:
A=a+b/2h=9+132·5=55
Step-by-step explanation:
SO the answer is 55
bayesian regression with undirected network predictors with an application to brain connectome data.
Bayesian regression with undirected network predictors offers a powerful framework for analyzing brain connectome data and gaining a deeper understanding of the relationships between brain connectivity and various outcomes of interest.
Bayesian regression with undirected network predictors refers to a statistical modeling approach that combines Bayesian inference principles with regression analysis when the predictors are represented as an undirected network. This approach is particularly useful when dealing with data that has a network structure, such as brain connectome data.
In the context of brain connectome data, a connectome represents the structural or functional connectivity between different regions or nodes of the brain. Each node can be seen as a predictor variable, and the relationships between nodes are represented by edges in the network.
Bayesian regression allows for flexible modeling of the relationships between predictors and the response variable, taking into account uncertainty in the parameter estimates. By incorporating the network structure of the predictors, Bayesian regression with undirected network predictors can capture complex dependencies and interactions among brain regions, providing insights into the relationships between brain connectivity and the outcome of interest.
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30 pts answer correct plzzzz
Answer:
b
Step-by-step explanation:
b is correct
Answer:
Option 1
Step-by-step explanation:
∠EGB ≅ ∠EHD {Corresponding angles
∵ ∠AGF ≅∠EHD {transitive equality property}
A 95% confidence interval for was computed to be (6, 12). Which of the following is the correct margin of error? 3 1 10 8
A 95% confidence interval for was computed to be (6, 12). The correct margin error is 3.
In statistics, a confidence interval provides an estimated range of values that is likely to contain the true population parameter. It is constructed based on a sample from the population and provides a measure of uncertainty.
In the given example, the 95% confidence interval is (6, 12). This means that we are 95% confident that the true population parameter falls within this interval. The lower bound of 6 represents the lower limit of the interval, while the upper bound of 12 represents the upper limit.
To calculate the margin of error, we need to determine the range around the point estimate (which is the midpoint of the confidence interval) within which the true population parameter is likely to fall. The margin of error represents half of this range.
In this case, the point estimate is the midpoint of the confidence interval, which is (6 + 12) / 2 = 9. The range of the confidence interval is 12 - 6 = 6. Therefore, the margin of error is half of this range, which is 6 / 2 = 3.
Hence, the correct margin of error for the given 95% confidence interval of (6, 12) is 3. This means that we estimate the true population parameter to be within 3 units (plus or minus) of the point estimate of 9 with 95% confidence.
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What are the steps to solve 5m-8=3m+8
Answer: m=8
Step-by-step explanation:
5m-8=3m+8
Move the variable to the left hand side and change its sign; move the constant to the right hand sign and change it's sign
5m-3m=8+8
Collect like terms
2m=16
Divide both sides by 2
2m/2=16/2
m=8
Answer:
m = 8
Step-by-step explanation:
Add 8 to both sides of the equation
5m-8+8=3m+8+8
Simplify
5m = 3m=16
Subtract 3m to both sides of the equation
5m-3m=16-3m
Simplify
2m = 16
Divide both sides of the equation by the same term
2m/2 = 16/2
Simplify
m = 8
Hence, Solution/Answer = 8
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Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage. Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In last five years, the market value of the house has increased by 4.8% per year 6. If she wants to sell the house today, the total transaction cost will be 5% of selling price Given the above information, please calculate the internal rate of return (IRR) of this investment in house
Can you show the math as far as formulas go?
Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.
Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.
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cole spent 55% of his money on a coat and the rest on food. if he spent $187 on the coat, how much did he spend on food?
( ( 187 / 55 ) * 100 ) - 187 = how much he spent on food
( ( 187 / 55 ) * 100 ) - 187 = $153 spent on food
Please answer ASAP please help
Answer:
b = 7
Step-by-step explanation:
We know that the three interior angles of a triangle add up to 180 degrees.
The missing angle is 45 degrees (since 180 = 45 + 45 + 90). Since we have two angles equal opposite the sides of length 7 and b, we know that b = 7.
Sort the expressions.
4
v + 10
Factors of
5(v + 10)
Submit
Learn with an example ✓
4(v + 6)
or
) Factors of 4(v + 6)
Watch a video
Answer:
Step-by-step explanation:
5(v+10) =
when sorting its v+10
the common factors would be 5,1
4(x+6)=
when sorting it should be 4
the common factors are 4,2,1.
Roll a standard number cube. Then pick a marble out of a bag.
A Dependent, the roll will not affect the marble selection.
B. Dependent, the roll will affect the marble selection.
C. Independent; the roll will not affect the marble selection.
D. Independent; the roll will affect the marble selection.
Answer:
C
Step-by-step explanation:
Its C because it doesn't depend on the marbles there to separate picks so neither will affect each other
The logistic growth function f(t)equals440 Over 1 plus 13.7 e Superscript negative 0.28 t EndFraction describes the population of a species of butterflies t months after they are introduced to a non-threatening habitat. How many butterflies are expected in the habitat after 20 months? Round to nearest whole number.
Answer:
8685 butterflies
Step-by-step explanation:
Given the logistics growth function expressed as f(t)equals440 Over 1 plus 13.7 e Superscript negative 0.28 t which describes the population of a species of butterflies t months after they are introduced to a non threatening habitat, to know the number of butterflies expected butterflies are expected in the habitat after 20 months, we will substitute t = 20 into the function.
f(20) = 440/1+13.7exp-(0.28×20)
f(20) = 440/1+13.7exp-(5.60)
f(20) = 440/1+(13.7× 0.003698)
f(20) = 440/1+0.05066
f(20) = 440/1.05066
f(20) = 8684.9
This means there will be approximately 8685 butterflies in the habitat after 20months.