The time it takes to double 325 at 4.7% interest compounded monthly is approximately 15 years.
Given that,
Principal amount = 325
Rate of interest = 4.7%
It is compounded monthly.
The formula to calculate the final amount in a compound interest is,
A = P(1 + r/n)^ (nt)
Here P is the principal amount, r is the rate of interest, n is the number of times interest is compounded per year and t is the number of years.
Here A = 2 × 325 = 650
r = 4.7% = 0.047
P = 325
n = 12
Substituting,
650 = 325 (1 + 0.047/12)^(12t)
2 = (1.048)^t
Taking logarithms,
log 2 = t log(1.048)
t = 14.777 ≈ 15 years
Hence the time is 15 years.
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pls help i need to get this done by today T-T
The "stand alone F test"
a. is not considered an inferential test.
b. is used to test the assumption of homogeneity of variance.
c. is always non-directional
d. is used to test the effect of the IV on the variability of the DV.
The correct answer is d is used to test the effect of the IV on the variability of the DV.
The correct answer is d. The "stand alone F test" is used to test the effect of the independent variable (IV) on the variability of the dependent variable (DV). It is an inferential test commonly used in analysis of variance (ANOVA) to determine if there is a significant difference among the means of three or more groups.
Option a is incorrect because the "stand alone F test" is an inferential test that involves making a conclusion about a population based on sample data.
Option b is incorrect because the "stand alone F test" is used to test the assumption of equal variances, not homogeneity of variance.
Option c is incorrect because the "stand alone F test" can be directional or non-directional, depending on the research question and hypothesis being tested.
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A house blueprint has a scale of 1.5 in. : 4.5 ft. The length and
width of each room in the actual house are 45 ft and 60 ft,
respectively. What is the perimeter of the blueprint?
1. 300 in
2. 24,300 in
3. 210 in
4. 70 in
The scale of the blueprint is 1.5 inches : 4.5 feet, which means that every 1.5 inches on the blueprint represents 4.5 feet in the actual house. To find the length and width of the room on the blueprint, we need to convert the actual dimensions from feet to inches using the scale. The length of the room on the blueprint is (45 ft / 4.5 ft) * 1.5 in = 15 in. The width of the room on the blueprint is (60 ft / 4.5 ft) * 1.5 in = 20 in. The perimeter of the room on the blueprint is 2 * (15 in + 20 in) = 70 in.
what is the solution to from the boat of a lake ,the angle of elevation to the cliff is 24.22,if the base of the cliff is 747 feet from the boat ,how high is the cliff to the nearest
Answer:
Step-by-step explanation:
338.33 ft
For a certain video game, the number of points awarded to the player is proportional to the amount of time the game is played. For every 2 minutes of play, the game awards one-half point, and for every 6 minutes of play, the game awards one and one-half points.
Part A: Find the constant of proportionality. Show every step of your work. (4 points)
Part B: Write an equation that represents the relationship. Show every step of your work. (2 points)
Part C: Describe how you would graph the relationship. Use complete sentences. (4 points)
Part D: How many points are awarded for 10 minutes of play? (2 points)
The game awards 2.5 points for 10 minutes of play.
Solving the proportion problem in detailsPart A:
Let's use the given information to find the constant of proportionality. For every 2 minutes of play, the game awards one-half point. Therefore,
1 min of play = 0.5/2 = 0.25 points
6 min of play = 0.25 x 6 = 1.5 points
The constant of proportionality is 0.25
Part B:
We can use the formula for a proportional relationship,
y = kx
where
y = number of points awarded,
x = amount of time played (in minutes), and
k = constant of proportionality.
Substituting k = 0.25, we get:
y = 0.25x
Part C:
To graph this relationship, let x be the independent variable (amount of time played) and y be the dependent variable (number of points awarded). Then, we can choose several values for x, compute the corresponding values of y using the equation above, and plot the ordered pairs (x, y).
Part D: To find the number of points awarded for 10 minutes of play, we can simply substitute x = 10 into the equation we found in Part B:
y = 0.25x = 0.25(10) = 2.5
Therefore, 2.5 points are awarded for 10 minutes of play.
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A researcher identifies college students as a group of interest to test her hypothesis. She then identifies a few local college students and selects a small group of local college students to be observed. In this example, the sample is
The sample in this example is a small group of local college students selected for observation.
In this example, the researcher is working with a specific group of interest, which is college students.
She narrows down her focus to local college students and selects a small group to be observed.
The sample in this case would be the small group of local college students chosen for observation.
This sample is a subset of the larger population (all college students) that the researcher is interested in studying to test her hypothesis.
The sample in this example is the small group of local college students who were selected to be observed.
A sample is a subset of the population that is being studied in order to make inferences about the entire population.
In this case, the population of interest is college students, and the researcher is observing a sample of that population. It is important that the sample is representative of the population in order for the findings to be generalizable to the population as a whole.
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Given the table of values below from a quadratic function, write an equation of that function
X | -6 | -5 | -4 | -3 | -2|
f(x) | 2 | -1 | -2 | -1 | 2 |
The value of quadratic equation is,
⇒ y = x² + 10x + 22
Let the value of quadratic equation is,
⇒ y = ax² + bx + c
Now, Let the points from tables as;
⇒ (- 6, 2) (- 5, - 1) (- 4, - 2)
Substitute all the values in equation as;
⇒ y = ax² + bx + c
⇒ 2 = a(- 6)² + b(-6) + c
⇒ 2 = 36a - 6b + c
⇒ - 1 = a (- 5)² + b (- 5) + c
⇒ - 1 = 25a - 5b + c
⇒ - 2 = a (- 4)² + b (- 4) + c
⇒ - 2 = 16a - 4b + c
Solve expression for the values of a, b and c as;
a = 1
b = 10
c = 22
Thus, the value of quadratic equation is,
⇒ y = x² + 10x + 22
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Find the value of X, y and z
answer y = 40
You read in a book on baseball that your favorite player gets on base 41% of the time he goes to bat. What does this indicate
When the book on baseball states that your favorite player gets on base 41% of the time he goes to bat, this percentage indicates the player's on-base percentage (OBP), a measure of how often a batter reaches base through hits, walks, or being hit by a pitch.
The on-base percentage is an important statistic in baseball as it helps to evaluate a player's offensive contribution to their team. A higher OBP means the player is more successful at getting on base, creating more scoring opportunities for their team. In this case, a 41% OBP for your favorite player signifies that they are quite proficient in reaching base.
To calculate the OBP, you can use the formula:
OBP = (Hits + Walks + Hit by Pitch) / (At Bats + Walks + Hit by Pitch + Sacrifice Flies)
Having a 41% OBP means that, on average, your favorite player reaches base 41 times out of 100 plate appearances. This is considered an above-average performance for a batter, as the league average OBP typically hovers around 32%. Your favorite player's OBP demonstrates that they are an effective offensive player, contributing to their team's success by getting on base more frequently than the average player.
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a dog weighs 40 punds with 4 legs. How many pounds will the dog weigh with 3 legs?
Answer:
30 lbs
Step-by-step explanation:
40/4=10
10 lbs per leg
10x3=30
Answer:
30
Step-by-step explanation:
how do i use like terms
Answer:
Like Terms: Terms that have identical variable parts (same variable(s) and same exponent(s)). When simplifying using addition and subtraction, you combine “like terms” by keeping the "like term" and adding or subtracting the numerical coefficients.
Step-by-step explanation:
pls mark brainlest
find the mean, median, mode, and range of the data.
It is explained how to obtain the four measures in this problem.
How to obtain the four measures?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations, which is also called the cardinality of the data-set.The median of the data-set is the middle value of the ordered data-set, dividing the data-set into two halves of same cardinality.The mode of the data-set is the element that appears the most times in the data-set.The range of the data-set is the difference between the highest value and the lowest value in the data-set.More can be learned about the mean of a data-set at https://brainly.com/question/1136789
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A restaurant manager recorded the number of people in different age groups who attended their food festival. They created the
following histogram:
60
50
40
30
20
10-
0
0-19 20-39 40-59 60-79
Age Group (yr)
Food Festival Participants
What percentage of the participants are ages 40 to 59? Round to the nearest whole percent. 20%
35%
60%
100%
Answer:
35%
Step-by-step explanation:
1. Add all the participants that attended
20 - 0-19yrs
40 - 20-39yrs
60 - 40-59yrs
50 - 60-79yrs
170 total
2. Divide the age group 40 - 59 by the total amount of participants to get the answer.
60/170 = about .35 = 35%
Consider a random variable X that denotes a random delivery time anywhere between 9 am and 10 am . X would reasonably be
X is a continuous uniform random variable with a mean of 9.5 am and a variance of 1/12.
How to find the expected value of X?Since X denotes a random delivery time anywhere between 9 am and 10 am, X is a continuous random variable that follows a uniform distribution.
The uniform distribution is a probability distribution where all values between a lower bound (a) and an upper bound (b) have equal probability.
In this case, a = 9 am and b = 10 am, so the probability density function of X can be expressed as:
f(x) = 1/(b-a) = 1/(10-9) = 1
for 9 ≤ x ≤ 10, and f(x) = 0 otherwise.
The expected value or mean of X can be calculated as the average of the lower and upper bounds:
E[X] = (a + b)/2 = (9 + 10)/2 = 9.5 am
The variance of X is given by:
[tex]Var[X] = (b - a)^2/12 = (10 - 9)^2/12 = 1/12[/tex]
Therefore, X is a continuous uniform random variable with a mean of 9.5 am and a variance of 1/12.
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If a risk has a 20 percent chance of happening in a given month, and the project is expected to last five months, what is the probability that this risk event will occur during the fourth month of the project?
The probability that the risk event will occur during the fourth month of the project is 0.2.
If a risk has a 20% chance of happening in any given month, then the probability of it not happening in any given month is 1 - 0.2 = 0.8.
Assuming the risk event is independent from month to month, the probability that the risk does not happen in the first three months is:
P(not happening in 1st month) × P(not happening in 2nd month) × P(not happening in 3rd month) = 0.8 × 0.8 × 0.8 = 0.512
The probability that the risk occurs in the fourth month, given that it has not occurred in the first three months, is:
P(happening in 4th month | not happening in 1st, 2nd, and 3rd months) = P(happening in 4th month) = 0.2
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Find the volume of the hemisphere. Round to the nearest tenth.
12 mm
____ mm³
The volume of the hemisphere is 301.44mm²
What is volume of hemisphere ?Any circle drawn around the Earth that divides it into two equal halves is called a hemisphere. Examples is a ball cut into two part. Each part will be an hemisphere.
The volume of an hemisphere is expressed as;
V = 2/3πr³
where v is the volume and r is the radius
Here, r = 12mm
Therefore;
V = 2/3 × ×3.14 × 12²
V = 904.32/3
V = 301.44mm²
therefore the volume of the hemisphere is 301.44mm²
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A soccer ball kicked with an initial velocity of 39 ft/sec and an angle of 44° with the ground. Find the parametric equations that model the motion. What was its maximum height?
step by step please asap
The soccer ball reaches a maximum height of approximately 34.8 feet.
How to solveThe parametric equations for the motion of the soccer ball are:
x(t) = 39*cos(44°)t ≈ 26.9t
y(t) = [tex]39\sin(44)*t - 16t^2[/tex] ≈ [tex]22.7t - 16t^2[/tex]
where t is the time elapsed since the ball was kicked.
To find the maximum height of the ball, we need to find the vertex of the parabolic trajectory given by y(t).
The maximum height occurs at the vertex, which is at the time t = -b/2a, where a = -16 and b = 39*sin(44°).
So, t = -b/2a ≈ 1.1 seconds.
Substituting this value of t into the equation for y(t), we get the maximum height:
y(max) = [tex]39*\sin(44)1.1 - 16(1.1)^2 = 34.8 feet.[/tex]
Therefore, the soccer ball reaches a maximum height of approximately 34.8 feet.
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The points (x,y) on a scatterplot form an ellipse. As the ellipse becomes thinner, what can be concluded about the correlation r between the variables x and y?
The ellipse in a scatterplot becomes thinner, the correlation coefficient (r) between the variables x and y will increase.
The correlation coefficient (r) is a measure of the strength and direction of the linear relationship between two variables.
It ranges from -1 to 1, where values close to -1 or 1 indicate a strong linear relationship, and values close to 0 indicate a weak or no linear relationship.
When the scatterplot forms an ellipse, it indicates that there is some degree of correlation between the variables x and y.
If the ellipse is elongated, it suggests that the correlation is weak, while if the ellipse is more circular, it suggests that the correlation is stronger.
As the ellipse becomes thinner, it means that the spread of the data along one of the variables is becoming smaller, while the spread along the other variable is remaining the same.
This indicates that there is a stronger linear relationship between the variables, and as a result, the correlation coefficient (r) will increase.
Therefore, we can conclude that as the ellipse becomes thinner, the correlation coefficient (r) between the variables x and y will increase.
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Julie says that sinA/cosA = tan A and sinB/cosB = tan B. Use the triangle to prive if julies statement is true or false.
From the given triangle, the statement that julie says "sinA/cosA = tan A and sinB/cosB = tan B" is true.
To prove whether Julie's statement is true or false, we need to use the triangle and the definitions of the trigonometric ratios.
In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. The cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. And, the tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side.
Using the definitions of sine and cosine, we can write:
sin A = b/c
cos A = a/c
sin B = a/c
cos B = b/c
Dividing sin A by cos A, we get:
sin A / cos A = (b/c) / (a/c) = b/a
Similarly, dividing sin B by cos B, we get:
sin B / cos B = (a/c) / (b/c) = a/b
We can see that sin A/cos A and sin B/cos B equals to tan A or tan B respectively. Therefore, Julie's statement is true.
In conclusion, we can prove whether a trigonometric statement is true or false by using the definitions of the ratios and the triangle. In this case, Julie's statement was proved to be true.
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Alex wants to pay off his credit card balance before he gets married. he decides to take the $2,300 out of his savings and apply it to his credit card debt of $5,390. the credit card has an apr of 16.5%. what will alex's minimum monthly credit card payment be in order to pay off his debt in 14 months? a. $109.40 b. $190.83 c. $244.15 d. $572.32 please select the best answer from the choices provided. a b c d
The minimum amount monthly credit card payment be in order to pay off his debt in 14 months is $244.15, the correct option is C.
We are given that;
Out of savings= $2,300
Credit card debt = $5,390
Rate=16.5%
Now,
We need to know the percentage rate that Alex’s issuer uses to calculate the minimum payment, and the interest charge and fees for each month. Assuming that Alex’s issuer uses a 2% rate, and that there are no fees or past-due amounts, we can use this formula:
Credit Card Minimum Payment = (A * P) + I
Where A is the statement balance, P is the percentage rate, and I is the interest charge.
The interest charge can be calculated by multiplying the balance by the APR and dividing by 123. For example, the interest charge for the first month is:
I = ($5,390 - $2,300) * 0.165 / 12 I = $42.74
The minimum payment for the first month is:
Credit Card Minimum Payment = ($5,390 - $2,300) * 0.02 + $42.74 Credit Card Minimum Payment = $104.54
To pay off the debt in 14 months, Alex needs to pay more than the minimum payment every month. We can use an online calculator4 to find out how much he needs to pay monthly to achieve this goal.
Therefore, by percentage the answer will be $244.15.
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HELP WITHIN 10 MINUTES
Answer:
Step-by-step explanation:
Going top row first:
V=180
SA=216
V=64
SA=96
V=1539.4
SA=747.7
V=600
SA=520
Bottom Row:
SA = 96
V=80
V=72
SA=132
V=628.3
SA=408.4
what is the greatest common factor of 21 and 48?
Answer:
Step-by-step explanation: 3
Which one of the following statements is true?
A. If 4/3h = 12, then h = 16
B. If -2/5r= -20, then r -50
C. If 1/2 = -3/7q, then q = -1/6
D. If 3/8 = 24c, then c= 9
im so confused ahhh please help
The correct statement is:
B. If -2/5r = -20, then r = 50
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
To solve the equation, we can isolate the variable by multiplying both sides of the equation by the reciprocal of -2/5, which is -5/2:
(-2/5r) * (-5/2) = (-20) * (-5/2)
r = 50
Therefore, if -2/5r = -20, then r = 50.
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Kevin is a reporter for the newtville times. he is conducting a poll of political candidates running for mayor. he published his results in the newspaper as follows: if there are 2,500 voters in newtville, approximately how many of them would be undecided about the candidates for mayor? show your work. r. smith: 14j. walid: 31p. santino: 39undecided: 16
Answer: To find the approximate number of voters who are undecided about the candidates for mayor, we can first add up the percentages of voters who have already made their decision:
14 + 31 + 39 = 84%
This means that 84% of the voters have made up their minds about the candidates. To find the percentage of voters who are undecided, we can subtract this percentage from 100:
100 - 84 = 16%
So approximately 16% of the 2,500 voters in Newtville would be undecided about the candidates for mayor. To find the number of voters who are undecided, we can multiply the total number of voters by the percentage that is undecided:
2,500 x 0.16 = 400
Therefore, approximately 400 voters in Newtville would be undecided about the candidates for mayor.
A rectangular prism has a length of 8 meters, a width of 4 meters, and a height of 5 meters.
Which equations could be used to determine the volume, V, of the prism?
Select each correct answer.
Responses
V, = 32 × 5
V, = 12 × 5
V, = 8 × 4 × 5
V = 5 × 4 × 4
Answer:
The first one and the third on are both right
Step-by-step explanation:
Remember that in order to find the volume, you need to multiply the length by the width by the height.
Answer:
V= 8×4×5
V= 32×5
Step-by-step explanation:
volume= base × height × width
V= 8×4×5
Please help hurry I’ll mark brainly
For strain 1 the average rate of change is 20, while for strain 2 it is 16.7, then Strain 1 has the larger one.
How to find the average rate of change?For a function y = f(x), we define the average rate of change on an interval [a, b] as:
R = (f(b) - f(a))/(b - a)
For the table, the average rate of change will be:
R = (85 - 25)/(4 - 1)
R = 60/3 = 20
For the graph, it will be:
R' = (70 - 20)/(4 - 1) = 50/3 = 16.7
Then we can see that the table (Strain 1) has a greater rate of change.
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to find the P(Z>0.93) find the row containing ______ in the far left column. Then find the column containing _____ in the top row. P(Z>0.93) = 1 - _________ (round to 4 decimals) = ______ (round to four decimal)...(Please use Appendix C-2.)
To find the P(Z>0.93) using Appendix C-2, we first need to find the row containing 0.9 in the far left column. Next, we find the column containing 0.03 in the top row. The intersection of the row and column is 1.546. Therefore, the probability of Z being greater than 0.93 is 1 - 0.8289 = 0.1711 (rounded to four decimal places).
The values in Appendix C-2 represent the area to the left of a standard normal distribution. Since the total area under the curve is equal to 1, we can find the area to the right of a certain value by subtracting the area to the left from 1.
In this case, we want to find the area to the right of 0.93, which is equivalent to finding the area to the left of -0.93 (since the standard normal distribution is symmetric). By finding the corresponding value in Appendix C-2 and subtracting from 1, we get the probability of Z being greater than 0.93.
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Find the least common denominator of this
Answer: The LCD is x(x-3)(x+1) the answer is c
Step-by-step explanation:
The __________forecasting model uses nonlinear optimization to forecast the adoption of innovative and new technologies in the marketplace.
The Bass diffusion model is a forecasting model that uses nonlinear optimization to predict the adoption of innovative and new technologies in the marketplace.
It was developed by Frank Bass in 1969 and has since become a widely used method for predicting the spread of new products in the market.
The Bass model assumes that the adoption of a new technology is driven by two factors: the innovative individuals who are the first to adopt, and the imitative individuals who adopt based on the influence of others. The model uses a combination of these two factors to predict the rate of adoption over time.
The Bass model takes into account the potential market size, the rate of innovation, and the rate of imitation. It is based on the assumption that the number of potential adopters is finite and that the rate of adoption will slow down as the market becomes saturated. The model also assumes that the rate of innovation will decrease over time as the technology becomes more established in the market.
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Solve the following inequality for v. Write your answer in simplest form.
The value of v in the given inequality 9v - 8 ≥ 8v + 2 is v≥10.
The given inequality is 9v - 8 ≥ 8v + 2
Now, we have to solve the value for v in the above inequality.
9v - 8 ≥ 8v + 2
Now, we subtract 8v on both sides.
9v - 8 - 8v ≥ 8v + 2 - 8v.
v - 8 ≥ 2.
Now, we add 8 on both sides
v - 8 + 8 ≥ 2 + 8
v ≥ 10.
Therefore, the value for v is v ≥ 10, which means all the values greater than 10 satisfy the given inequality.
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