Mr. McGill puts $500 into an account that pays a 2.4% annual interest rate compounded monthly. If the money is left in the account, how much money will there be in 10 years?
Answers
Answer:
6200
Step-by-step explanation:
im not sure if its right but i can tell you what i did.. so 500 x 1.24 will give you increase in 1 year, so 12.4 should be increase in 10 years.
Related Questions
An educational researcher devised a wooden toy assembly project to test learning in 6-year-olds. The time in seconds to assemble the project was noted, and the toy was disassembled out of the child's sight. Then the child was given the task to repeat. The researcher would conclude that learning occurred if the mean of the second assembly times was less than the mean of the first assembly times.
Find the 99% confidence interval for the difference in means.
Child
2
3
4
Trial 1
108 140
154
115
Trial 2
99
118 154
96
5
130
108
107
102
110
0 0.7
0-07<4-4 < 23.5
0-29
O 29
Answers
The differences are: -9, 22, 0, -19, -105, 24, -46, -8, -5, -8, -8
The mean of the differences is: -9.5
The standard deviation of the differences is: 38.3
To calculate the 99% confidence interval, we use the formula:
(mean difference) +/- (t-value) * (standard deviation of differences / square root of sample size)
The sample size is 11, so the degrees of freedom are 10. Using a t-table with 10 degrees of freedom and a 99% confidence level, we find the t-value to be 3.169.
Plugging in the values, we get:
-9.5 +/- 3.169 * (38.3 / sqrt(11))
Which simplifies to:
-9.5 +/- 23.5
Therefore, the 99% confidence interval for the difference in means is (-33, 14).
What is the meaning of "if \(\varphi (x)\) has no parameters \(p_{i}\) then the class C is definable"?
![What is the meaning of "if [tex]\varphi (x)[/tex] has no parameters [tex]p_{i}[/tex] then the class C](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/yxAwmsaXJBUQhpdRbSM40V2ZzqIoance.png)
Answers
The meaning of the statement, "if the function has no parameters, then the class C is definable" is that if there are no parameters given then the class c can be defined with an empty set but if there are no parameters, then the class cannot be defined.
What is the meaning of the statement?The meaning of the above statement is that if no parameters are provided for this function, then the given class represented as c can be defined with an empty set that is enclosed in parameters.
Also, if the parameters are given then the class c is not defined.
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Please help this mad hard
Answers
Answer:
First Net
Step-by-step explanation:
The first net will be the answer because you can see that the figure has a square base. The first net has a square base as well. Now, the side of the figure has equal triangles, and so does the first net. The first net fits the figure best.
Hope this helps :)
graph the parabola. y=-2(x+5)^2 +1
Answers
Any point on a parabola, which has a U-shape and is defined as having an equal distance from both a fixed point (known as the focus) and a fixed straight line (known as the directrix), and the graph is given below.
Graph the parabola y=-2(x+5)² +1?Use the vertex form y=-a(x+h)²+k, to determine the values of a,h and k.
a=-2
h=5
k=1
Opens down
Find the vertex (h,k)
(5,1)
Using formula, calculate the distance from the vertex to the parabola's focus.
1/4a
Substitute the value of a into formula.
1/4.2
Multiply 4 by 2
1/8
Find the focus.
The focus of a parabola can be found by adding p to the y-coordinate k if the parabola opens up or down.
(h,k,+p)
Substitute the known values of h, p & kinto the formula and simplify.
(5,9/8)
Determine the axis of symmetry by tracing the line through the vertex and the focus.
x=5
To Find the directrix
The directrix of a parabola is the horizontal line found by subtracting p from the y coordinate k of the vertex if the parabola opens up or down.
y=k-p
Substitute the known values of p & k into the formula and simplify.
-y=7/8⇒-7/8
Using the property of the parabola to analyze and graph the parabola.
Direction: Opens down
Vertex: (5,1)
Focus: (5,9/8)
Axis of Symmetry x=5
Directrix: y=-7/8
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Find the inverse of A = 9, -2 -10, 7 , if it exists.
Answers
The inverse of matrix A, if it exists, is:
A^(-1) = [7/43, 2/43; 10/43, 9/43]
To find the inverse of a matrix A, we need to determine if the matrix is invertible by calculating its determinant. If the determinant is non-zero, then the matrix has an inverse.
Given the matrix A = [9, -2; -10, 7], we can calculate its determinant as follows:
det(A) = (9 * 7) - (-2 * -10)
= 63 - 20
= 43
Since the determinant is non-zero (43 ≠ 0), we can proceed to find the inverse of matrix A.
The formula to calculate the inverse of a 2x2 matrix is:
A^(-1) = (1/det(A)) * [d, -b; -c, a]
Plugging in the values from matrix A and the determinant, we have:
A^(-1) = (1/43) * [7, 2; 10, 9]
Simplifying further, we get:
A^(-1) = [7/43, 2/43; 10/43, 9/43].
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The angle of elevation from a point on the ground to the top of a tower is 18°. The base of the tower is 100 feet from the point on the ground. Find the height of the tower. Round to the nearest tenth of a foot.
Answers
Answer:
As We know that Angle (∅) b/w the point on ground and top of the tower is 18⁰. → x = 30 feet (approx.) Hence, The Height of the tower will be 30 Feet approximately.
Step-by-step explanation:
here is the answer to your question
When -3v = -18 is solved, the result is:
Answers
Answer:
When -3v = -18 is solved, the result is:
21v
The result of this mathematical sentence is v=6
First degree equationFirst degree equation is a mathematical sentence - having at least one unknown. Its representation is given by ax + b = 0. To calculate an equation, as it is in the expression in the statement, simply: isolate x and divide the second to the first member.
*Note: Equal signs, the result will be equated as positive.
-3v = -18
v = -18/-3
v = 6
Therefore, the correct value of this equation is v = 6.
Look at the Box and Whisker Plot below, then identify the parts of the plot.
Identify:
Minimum:
Maximum:
Median:
First Quartile:
Third Quartile:
Interquartile Range:
Answers
Answer:
For the Box and Whisker Plot, these are the answers for all of the parts of the plot:
Minimum: The minimum is the lower end of the whisker which is 2
Maximum: The maximum is the upper end of the whisker which is 16
Median: The median is the thick line you see that goes down through the box plot which is the number 8
First Quartile: The lower end line of the box plot which is 4
Third Quartile: Known as the Second Quartile, this is the upper end line of the box plot which is 14
Interquartile Range: The Interquartile Range is the numbers that starts from the First Quartile to the Third Quartile which is the numbers from 4 to 14
Therefore, the answers are 2, 16, 8, 4, 14, and 4-14. Hope this helps with your homework or assignment!
-5th Grade Honors Student who learned this yesterday
A study was conducted on the educational level of patients with AIDS, it was asume that
with ten years of education will be in group A, between 10 and 20 group B and between 20
group C. After the analysis it was realized that group A had 100 persons while group B and C had 30 persons
(a) If you decide to select based on proportion of 10% from each group how many patien
selected from each group. Show your calculation.
(b) What name can be given to the classified groups?
(c) What method of sampling was employed in the selection process?
1. State and explain the three major data collection techniques.
What is a variable?
What is a Parameter?
Answers
A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.
Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.
(a) If you decide to select based on proportion of 10% from each group, the number of patients selected from each group would be: Group A = (10/100) x 100 = 10 patients Group B = (10/100) x 30 = 3 patients Group C = (10/100) x 30 = 3 patients.
(b) The classified groups can be named as follows: Group A = 10 years of education or less Group B = More than 10 years but less than or equal to 20 years of education Group C = More than 20 years of education.
(c) The sampling method employed in the selection process was stratified sampling. Stratified sampling is a type of probability sampling technique where the population is divided into homogeneous subgroups or strata, and the researcher selects a simple random sample from each subgroup or stratum.
The researcher chooses a proportion of participants from each subgroup to represent the population as a whole, which allows for more precise estimates of the population parameters than simple random sampling.
The sample is selected randomly from the stratified sample, which ensures that the sample is representative of the population.
A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.
Variables are used in research to test hypotheses, determine relationships between different phenomena, and make predictions about future outcomes.
A parameter is a numerical summary of a population, which describes a characteristic of the population. It is an unknown constant that can only be estimated from a sample of data.
Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.
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Farmer Elentire started with 71 dubbles on his farm. Every month, he
got 6 more of them. Farmer Hopt started with 10 dubbles on her farm.
Every month, she purchased 10 more of them.
Write a system of equations, in slope-intercept form, to model each
farmer's dubbles (y) as months (x) increase.
y= 71+ 6x
y= 10+ 10x
What pair of numbers solves the system? Use values accurate to the
nearest tenth.
Answers
The pair of numbers that solves the system is (15.25, 164.5).
The system of equations, in slope-intercept form, for Farmer Elentire and Farmer Hopt are:
y = 6x + 71 (for Farmer Elentire)
y = 10x + 10 (for Farmer Hopt)
To find the pair of numbers that solves the system, we need to find the point where the two lines intersect.
We can do this by setting the equations equal to each other:
6x + 71 = 10x + 10
Solving for x, we get:
4x = 61
x = 15.25
Now that we know x = 15.25, we can plug this value into either equation to find y.
71 + 6x = 10 + 10x
Subtracting 6x and 10 from both sides, we get:
61 = 4x
Dividing both sides by 4, we get:
x = 15.25
Now we can use either of the original equations to find y. Let's use the first equation:
y = 71 + 6x = 71 + 6(15.25) ≈ 164.5
Using the first equation, we get:
y = 6(15.25) + 71
y = 163.5
Therefore,
The pair of numbers that solves the system is (15.25, 163.5), accurate to the nearest tenth.
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evaluate
2−(−4)+3+(−6)−(−2)
Answers
The expression evaluates to 5.
To evaluate the expression:
2 - (-4) + 3 + (-6) - (-2)
We can simplify it step by step:
First, we simplify the double negatives:
2 + 4 + 3 + (-6) + 2
Next, we combine like terms:
(2 + 4 + 3 + 2) - 6
Now, we perform addition:
11 - 6 = 5
Therefore, the expression evaluates to 5.
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How much should you invest at 3% simple interest in order to earn $65 interest in 16 months?
Answers
Answer:
To earn $65 in interest in 16 months at a simple interest rate of 3%, you would need to invest $2,166.67. The formula for calculating simple interest is I = P * R * T, where I is the interest earned, P is the principal amount invested, R is the interest rate, and T is the time in years. In this case, we are given that the interest rate is 3%, the time is 16 months, and the interest earned is $65, so we can plug these values into the formula to solve for the principal amount invested:I = P * R * T
$65 = P * 0.03 * (16/12)
$65 = P * 0.03 * (4/3)
$65 = P * 0.01
P = $2,166.67Therefore, to earn $65 in interest in 16 months at a simple interest rate of 3%, you would need to invest $2,166.67.
The mean life of a new smart LED bulb is 20,000 running hours with a standard deviation is 2,250 hours. The data is normally distributed. If a home improvement store sold 18,000 of these light bulbs in the first year of production, how many light bulbs would you expect to last longer than 22,250 hours?
Answers
Answer: The expected number of bulbs that would last longer than 22,250 hours is approximately 2,857.
Step-by-step explanation:
To solve this problem, we can start by finding the z-score for 22,250 using the formula:z = (x - mean) / standard deviationz = (22,250 - 20,000) / 2,250 = 1Next, we need to find the proportion of bulbs lasting longer than 22,250. We can look up this proportion in a standard normal distribution table or use a calculator, which gives us a probability of 0.1587.Finally, we can use this probability to find the expected number of bulbs that will last longer than 22,250:Expected number of bulbs = probability * total number of bulbs sold Expected number of bulbs = 0.1587 * 18,000 = 2,857Therefore, we can expect that approximately 2,857 of the 18,000 bulbs sold will last longer than 22,250 running hours.
Answer:
the afternoon is the right one
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A drink stand is selling small drinks for $2 each and large drinks for $4 each. One day, a total of 150 drinks were sold for $552. How many large drinks were sold?
Part A: Define your variables
Part B: Write two equations for this scenario
Part C: determine how many large drinks were sold
Answers
Using equation, the number of large drinks is 126.
How to find the number of large drinks sold?A drink stand is selling small drinks for $2 each and large drinks for $4 each. One day, a total of 150 drinks were sold for $552.
The number of large drinks sold can be calculated as follows:
Using equation,
let
x = number of small drinks
y = number of large drinks
Hence,
2x + 4y = 552
x + y = 150
multiply equation(ii) by 2
2x + 4y = 552
2x + 2y = 300
subtract equation(ii) from equation(i)
2y = 252
divide both sides by 2
y = 252 / 2
y = 126
Therefore,
number of large drinks = 126
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Fill in the y values of the t-table for the function
50!! Points
Answers
Answer:
sry i tried tk figure that out but i couldn't
Answer:
-2, -1, 0, 1, 2
Step-by-step explanation:
A neighborhood is trying to set up school carpools, but they need to determine the number of students who need to travel to the elementary school (ages 5-10), the middle school (ages 11-13), and the high school (ages 14-18). A histogram summarizes their findings:
Histogram titled Carpool, with Number of Children on the y axis and Age Groups on the x axis. Bar 1 is 5 to 10 years old and has a value of 3. Bar 2 is 11 to 13 years old and has a value of 7. Bar 3 is 14 to 18 years old and has a value of 4.
Which of the following data sets is represented in the histogram?
{3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4}
{5, 10, 4, 11, 12, 13, 12, 13, 12, 11, 14, 14, 19, 18}
{5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13}
{3, 5, 10, 11, 13, 7, 18, 14, 4}
Answers
The correct answer is that the data set {3, 7, 4} is represented in the given histogram.(option-a)
The given histogram represents the number of children in each age group who need to travel to school. Since the histogram has only three bars, we can conclude that there are only three age groups.
The first bar represents children aged 5-10, of which there are 3. The second bar represents children aged 11-13, of which there are 7. The third bar represents children aged 14-18, of which there are 4.
Therefore, the data set that is represented in the histogram is:
{3, 7, 4}
None of the other data sets given match the values in the histogram. The first data set has duplicate values and is not sorted by age group. The second data set includes ages that are not represented in the histogram. The third data set has values for ages 6, 11, 12, 13, 14, 15, 17, and 18, but the histogram does not have bars for all those ages. (option-a)
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please please help last text then finals l give brainliest
Answers
1. The x - intercepts of the parabola are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex of the parabola is at (5, 80).
What is a parabola?A parabola is a curved shape
1. Given the parabola above, to find the x - intercepts, we proceed as follows.
The x-intercepts are the points at which the graph cuts the x-axis.
They are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.
The plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex is the maximum point on the graph.
So, we see that the vertex is at x = 5 s and y = 80 ft
So, the vertex is at (5, 80).
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Question 1 of 5 Select the correct answer. Solve the following. √50 × 3√2 = ? 6√13 O 10 30 O 0 6 Submit. what is the answer
Answers
The square root of 50 is 5x sqrt of 2 and the multiplied by 3 becomes 15 times 2 = 30 because the two square roots of 2 multiplied together become 2.
5 x 3 x 2 = 30
HELP LAST ATTEMPT!! marking as brainliest!
Answers
Answer:
Neither
Step-by-step explanation:
they are both the same amount of farms so is there other options more than just a and b
Answer:
a and b is the only choices? well i bet it's wrong because the correct answer is 71-80.
Quadrilateral A'B'C'D'is the image of quadrilateral of ABCD under a rotation of about the origin (0,0)
a. -90
b. -30
c. 30
d. 90
Answers
Answer:
The answer is option is C
Step-by-step explanation:
In this problem we have a couterclockwise about the origin
sp
Verify
Option D
rotation 90 degrees counterclockwise
(x,y) -------> (-y,x)
so,
A(-2,3) ---------> A'(-3,-2) ---------> is not ok
therefore, the answer is option is C
Two Aps have the same first and last terms .The first Ap has 21 terms with a common difference of nine how many terms has the other ap if it common difference is 4
Answers
Answer:
46 terms
Step-by-step explanation:
a₁=b, a₂₁= bₙ, d₁=9, d₂=4
n=?
---------------
a₂₁= a₁+20d₁= a₁+20*9= a₁+180
bₙ= b₁+(n-1)d₂= a₁+4(n-1)
a₁+4(n-1)=a₁+180
4(n-1)=180
n-1= 180/4
n-1= 45
n=46
Plzzzzzz help meeee plz I am timed
Answers
Answer:
multiplication property of equality. Hope this help and maybe a brainlist?
Step-by-step explanation:
Answer:
multiplication property of equality
Step-by-step explanation:
d/10=12
Multiply both sides by the equation by 10
10× d/10=10×12
Reduce the numbers by the greatest common factor which is 10
d=10×12
Multiply 10 and 12
d=120
So using multiplication to solve this equation
PLEASE HELP: A random sample of 200 students are chosen from a student population of 1200 students. which sample do you think is more likely to be representative of the population
Answers
Answer:
random sampling is more accurate
Last month a woman had a body mass of 53 kg. She reduced this by x kg so that she is now below 50 kg. Assuming that x < 6, find the range of values of x.
Answers
The range for the possible values of x is:
3 < x < 6
How to find the range of values of x?
We know that the woman original mass is 53 kg, and after she reduced this by x kilograms,her newe mass is below 50kg
Then we can write the inequality:
53 - x < 50
Solving that for x we will get:
53 - 50 < x
3 < x
And we also know that x < 6
Then the range is:
3 < x < 6
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Find the value of x , then find the measure of angle A ( show your work ).
Answers
Step-by-step explanation:
2x+2+6x+4=120°(exterior angle of a triangle is equal to the sum of its opposite interior angle)
8x+6=120
8x=120-6
8x=114
x=114/8
x=14.25
now,
angleA=2x+2
2×14.25+228.5+2 30.5°hope it helps.
A cone has a diameter of 16 cm and a height of 35 cm. What is its volume?
Answers
Answer: if with 3.14 v= 37512.5333
if with pi v= 37531.56
Step-by-step explanation:
the formula is 1/3hπr^2
r= 2d so radius is 32
plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)
what is (19-y)+5y=55
Answers
Answer:
y = 9
Step-by-step explanation:
19-y+5y= 55
19+4y = 55
4y = 55 - 19
4y = 36
y = 36/4
y = 9
I need help!!!! pleaseee
Answers
The genotype ratio is: 1 TT : 1 Tt : 0 tt
The phenotype ratio is : 4 Tall : 0 Short
100 percent of the offspring will be tall.
What is Genotypic and Phenotypic ratio?Genotypic ratio is the ratio between the genetic makeup among the offspring population.
On the other hand, the ratio between the offspring population for an observable characteristic is the phenotype ratio.
The given test cross is between a homozygous tall parent and a heterozygous tall parent.
Using a Punnett square,
The result will be as shown below.
T t
T TT Tt
T TT Tt
Genotype : 1 TT : 1 Tt : 0 tt
Phenotype : 4 Tall : 0 Short
100 percent of the offspring will be tall.
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-2a-6a-9=-9-6a-2a
help please g
Answers
Answer:
the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).
Step-by-step explanation:
To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:
Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.
Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.
Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).
In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).
There are 4 apples, 3 peaches and 2 plums in a grocery bag. If the the checkout person picks 2 plumbs and 1 peach out of the bag, what is the probability that the next piece of fruit out of the bag will be an apple? (Give your answer as a fraction in simplest form.)
Answers
The probability that the next fruit is an apple is P = 0.8
How to find the probability?We want to fnind the probability of randomly selecting an apple from the bag.
Remember that the probability is equal as the quotient between the number of apples and the total number of fruit on the bag.
Originally, there are:
4 apples.
3 peaches
2 plums.
The checkout person takes 2 plums and 1 peach, so now there are:
4 apples.
1 peach.
So there are 4 apples and 5 fruits in total
Then the probability of grabing an apple is:
P = 4/5 = 0.8
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