The principal of account A is $3 and the principal of account B is $4, Account B had the greater principal.
What is principal?
The principal is the sum that was first invested or borrowed from the bank. P stands for the principal. Rate: Rate is the interest rate at which the main sum is loaned to a person for a specific period of time; it may be 5%.
Given $15.75 in interest in Account A with interest rate 3.0% and $28.00 in interest in Account B with interest rate 4.0% after 21 months.
The formula of simple interest is I = PRT.
For account A:
R = 3.0% = 0.03
T = 21 month = 21/12 year
I = $15.75
P = I/RT
P = 15.75/ (0.03 × (21/12))
P =$3
For account B:
R = 4.0% = 0.04
T = 21 month = 21/12 year
I = $28.00
P = I/RT
P = 28.00/ (0.04 × (21/12))
P =$4
The principal of account B is more than that of account A.
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help pls and ty ;-;..
btw brainly u should alow us to copy n paste questions.
Answer:
They cannot be ratios
Step-by-step explanation:
In mathematics, the irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.
Answer:
cannot be ratios
Step-by-step explanation:
hope it helped bye <33
The product of -8 and -4 is -32 it is false hope you like it and please give me a five star rating thank you very much hope this helps
Answer:
The answer is false.
Step-by-step explanation:
If you do not already know this, a negative and a negative equals a positive. Therefore, instead of –8 • –4 = –32, the correct answer would be –8 • –4 = 32.
Hope that helps! Have an amazing rest of your day! Brainliest welcome! :)
Answer: is false.
hope this helps
have a good day
Step-by-step explanation:
100 students each chose one activity. Each student chose bowling or karting or ice skating. The two-way table shows some information about the activities the students chose. One of the boys is chosen at random. What is the probability that this boy chose karting?
Answer:
\( \frac{13}{47} \)
Step-by-step explanation:
There are 47 boys
13 picked karting
Find the first three terms of the sequence below. Tn=n2+2n+9
\(\\ \bull\tt\longrightarrow T_n=n^2+2n+9\)
\(\\ \bull\tt\longrightarrow T_1=1^2+2(1)+9=1+2+9=12\)
\(\\ \bull\tt\longrightarrow T_2=2^2+2(2)+9=4+4+9=17\)
\(\\ \bull\tt\longrightarrow T_3=3^2+2(3)+9=9+6+9=24\)
f (x) = 3x - 5, find f (7)
Answer:
f(7) = 16
Step-by-step explanation:
substitute x = 7 into f(x) , that is
f(7) = 3(7) - 5 = 21 - 5 = 16
Write the phrase as an algebraic expression6. nine less than a number n??
We need to write the equation for the expression "nine less than a number n":
\(9The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct?
Answer:
Helena is correct.
Step-by-step explanation:
The slope intersept form of the line is
y = m x + c
where, m is the slope and c is the intersept.
The point slope form of the equation is
\(y - y'= \frac{y''-y'}{x''-x'}\times (x-x')\)
So, if there are two points are given, the equation of line is found by the point slope form.
So, Helena is correct.
Nick put a ladder up against the house to try and reach a light that is out and needs to be changed. He knows the ladder is 10 feet long and the distance from the base of the house to the bottom of the ladder is 4 feet. What is the angle of elevation of the ladder?
Answer:
a^2+b^2=C^2
10^2+4^2=C^2
100+16=C^2
square root of 116= square root of C^2
square root of 116= 10.77
Step-by-step explanation:
umm nvmd, I read it wrong
but the answer is 90 degrees. ignore the math lol
Name
Date
8. The graph below represents the number of containers and liters of water
contained in the containers. What is the constant of proportionality?
60
Water (liters)
10 15 20
Number of Containers
25
I
I
9. The graph below represents the number of mennte that
Jacks car has out of gasoline, he walks 12 km west and then 9 km south looking for a gasoline station, if he is now h km directly from his starting point find the value of h
Answer:
h = 20 km
Step-by-step explanation:
Mario's path forms a right triangle with legs 16 km and 12 km and hypotenuse h. Let's use the Pythagorean Theorem (a² + b² = c²) to solve for h.
16² + 12² = h²
256 + 144 = h²
400 = h²
h = 20 km
i hope this work for you
and sory if im wrang
A data analyst is cleaning their data in r. They want to be sure that their column names are unique and consistent to avoid any errors in their analysis. What r function can they use to do this automatically?
The r function that the data analyst can use to do this automatically is the clean names function.
What is the purpose of the Clean names function?When it comes to data manipulation, R is an excellent tool. It enables the use of several preprocessed packages, making data manipulation much easier.
Janitor's clean names() function will make all of your variable names consistent in a single line of code.
In R, a data analyst is cleaning up their data. To avoid errors in their analysis, they want to ensure that their column names are unique and consistent. What R function can they use to automate this? The clean names() function will ensure that column names are both unique and consistent.
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Answer:
32.1
Step-by-step explanation:
You add the code chunk arrange(bill_length_mm) to sort the column bill_length_mm in ascending order. The correct code is penguins %>% arrange(bill_length_mm). Inside the parentheses of the arrange() function is the name of the variable you want to sort. The code returns a tibble that displays the data for bill_length_mm from shortest to longest. The shortest bill length is 32.1mm.
Please give the answer fast .
I will mark you as brainliest.
Answer:
Your handwriting is really nice! Here is what I have so far:
Step-by-step explanation:
1. x + y
A: (2) + (4) = 6
2. (Don't remember how to do this one.)
3. 2x - 7
A: 2(-1) - 7 = -9
4. 7x^2 - 12x + 13
A: 7(16) - 12(4) + 13 = 112 - 48 + 13 = 77
5. -3p^2 + 4p + 7
A: -3(4) + 4(-2) + 7 = -12 -8 + 7 = -13
6. 3a -(a+2b)
A: 3(1) -([1] + 2[-1]) = 3 + (-1 + 2) = 3 + 1 = 4
7. (I can not see the value of Y.)
8. (I can't understand the equation. Please type it out for me in the comments.)
I need clarification for a few before I continue.
Answer:
Step-by-step explanation:
x+y
2+4
6
m-7
9-7
2
2x-7
2(-1)-7
-1-7
-8
7x^2-12x+13
7(4)^2-12(4)+13
7(16)-48+13
112-48+13
77
-3p^2+4p+7
-3(-2)^2+4(-2)+7
-3(4)+(-8)+7
-12+-56
-68
3a-(a+2b)
3(1)-(1+(-2))
3-(-2)
5
5x+2y-(x+y)
Answer: N/a
Value of y not available
5x+6y-32
5(1)+6(-1)
5+(-6)
-1
b^2-5a^3
-2^2-5(-4)^3
4-5(-64)
4-320
316
2a-b/c
Answer: N/A ]
Value of c not known
evaluate this expression -2.8 + -2.5
Answer:
-5.3
Step-by-step explanation:
-2.8+(-2.5)=-2.8-2.5=-5.3
Answer:
-5.3
Step-by-step explanation:
20 POINTS!!!!!!!
pic shown below :)
Answer:
16,849,464 ft³
Step-by-step explanation:
subtract the two volumes of the pyramids.
PLSS HELP ASAP!!
What is the sum of the exterior angles of the equilateral triangle ∠M + ∠R + ∠X? Explain your reasoning
N = 60
M = 120
The sum of the exterior angle of the equilateral triangle ∠M + ∠R + ∠X is 360 degrees.
For an equilateral triangle, each interior angle measures 60 degrees, so each corresponding exterior angle must measure 120 degrees (180 degrees minus the interior angle). Therefore, the sum of the exterior angles of an equilateral triangle is 120 degrees + 120 degrees + 120 degrees = 360 degrees.
Applying this to the given triangle, since it is an equilateral triangle, each interior angle measures 60 degrees. So, ∠M = 120 degrees, and since ∠M is an exterior angle, we know that ∠M + ∠R + ∠X = 360 degrees. Therefore, the sum of the exterior angles of the equilateral triangle ∠M + ∠R + ∠X is 360 degrees.
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when the bread doubles its size, how much does the distance between any two raisins will change?
The distance between any two raisins will not change when the bread doubles its size.
This is because the proportion of the raisins to the size of the dough remains constant. Mathematically, this can be expressed as:
Let d = the original distance between any two raisins
Let n = the new (doubled) size of the bread
d/n = constant
This means that when the size of the bread (n) doubles, the distance between the two raisins (d) remains unchanged. For example, if the original size of the bread was 10cm, and the distance between two raisins was 2cm, then when the bread is doubled to 20cm, the distance between the two raisins will still be 2cm.
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What is the solution to x/3=-15
Answer: x= -45
Step-by-step explanation: -15 x 3 = -45
Answer:
x = -45
Step-by-step explanation:
Write it out: \(\frac{x}{3} = -15\) Multiply each side by 3, so it now looks like this: x = -45I hope this helps!
unit 7: Polynominals & Factoring homework 5: factoring polynominals
Find an equation of the circle whose diameter has endpoints (2,2) and (-6,5) .
Answer:
(x + 2)² + (y - 3.5)² = 18.25
Step-by-step explanation:
diameter has endpoints (2,2) and (-6,5), center (h,k) = ((2 + -6)/2 , (2+5) / 2))
center (h,k): (-2 , 3.5)
diameter = √(-6-2)² + (5-2)² = √73
radius = √73/2
equation: (x - -2)² + (y - 3.5)² = (√73/2)² = 73/4
(x + 2)² + (y - 3.5)² = 18.25
2) What is the inequality that this graph represents? -15 # 3 6 x
Answer: \(y < -\frac{1}{2}x+3\)
This is the same as writing y < (-1/2)x+3
==============================================================
Explanation:
The dashed boundary line goes through (0,3) and (4,1)
Apply the slope formula for those two points
m = (y2-y1)/(x2-x1)
m = (1-3)/(4-0)
m = -2/4
m = -1/2
The slope of the dashed line is -1/2. The y intercept is 3. So we go from y = mx+b to y = (-1/2)x+3 to represent the equation of the dashed line. This is the same as writing \(y = -\frac{1}{2}x+3\)
We shade below the dashed line to represent the inequality \(y < -\frac{1}{2}x+3\). Points in the shaded region are solutions to the inequality. One example point is (0,0).
Note that we don't have "or equal to" as part of the inequality sign because we are not including points on the boundary. A solid line, rather than a dashed line, would include points on the boundary.
Please help me, it’s asap
The price that is 3rd standard above the mean, if the mean is $10000 and the standard deviation is $500 is $18500.
What is mean?Mean is a measurement of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value."
Given:
The mean, m = $17000,
The standard deviation, σ = $500
Calculate the 3rd standard deviation as shown below,
3rd standard deviation = mean + 3 × standard deviation
3rd standard deviation = 17000 + 3 × 500
3rd standard deviation = 17000 + 1500
3rd standard deviation = $18500
Therefore, the price that is 3rd standard above the mean, if the mean is $10000 and the standard deviation is $500 is $18500.
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SOMONE PLS HELP ME IVE BEEN MAKING ALT ACC FOR THE PASS 10 MINS TRYING TO GET HELP i need a answer and to explain D:!!! pls help!!!
Answer:
6:18
Step-by-step explanation:
9 + 5+ 4=18
since they said magenta vs rest of them not vis versa we have to arrange it magenta on the left other markers on the right
6:18
Answer:
B. 4 to 1
6
Step-by-step explanation:
Ecological approach to algal bloom control. Algal blooms can have negative effects on an ecosystem by dominating its phytoplankton communities. Gonyostomum semen is a nuisance alga infesting many parts of northern Europe. Could the overall biomass of G. semen be controlled by grazing zooplankton species? A research team examined the relationship between the net growth rate of G. semen and the number of Daphnia magna grazers introduced in test tubes. A net growth rate was computed by comparing the initial and final abundances of G. semen in the experiment, with a negative value indicating a decrease in abundance. Here are the findings: 13 1 2 3 4 5 6 Number of grazers Net growth rate -1.9 -2.5 -2.2 -3.9 -4.1 -4.3 a. Make a scatterplot of number of grazers and net growth rate. Do you think that D. magna is an effective grazer of the G. semen alga? b. Find the correlation 1. How does it support your interpretation?
a. D. magna is an effective grazer of the G. semen alga. b. a very strong negative correlation between the number of grazers and the net growth rate of G. semen.
a. The scatterplot of the data shows a clear negative correlation between the number of D. magna grazers and the net growth rate of G. semen. As the number of grazers increases, the net growth rate of G. semen decreases. This suggests that D. magna is an effective grazer of the G. semen alga.
b. The correlation coefficient between the number of grazers and the net growth rate is -0.996. This indicates a strong negative correlation between the two variables, which supports the interpretation that D. magna is an effective grazer of G. semen. The closer the correlation coefficient is to -1, the stronger the negative correlation between the two variables. In this case, the correlation coefficient is very close to -1, which indicates a very strong negative correlation between the number of grazers and the net growth rate of G. semen.
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Ellen has two pizzas left after a party. One is whole and one has been half-eaten. The whole pizza has a radius of 7 inches. The half eaten pizza has a diameter of 20 inches.
Which pizza has a greater circumference?
Answer:
half eaten pizza has greater circumference
Step-by-step explanation:
full eaten pizza's circumference = 2πr
= 2 * 3.14 * 7 = 43.96 inches
half eaten pizza's circumference = πd
= 3.14 * 20
=62.8 inches
Given the functions f(x) = 4x - 2 and g(x) = 2x + 4, find the value of x for which f(x) = g(x)
The value of x for which the functions f(x) is equal to g(x) is x equals 3.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, f(x) = 4x - 2 and g(x) = 2x + 4.
Now for f(x) = g(x) we have to equate 4x - 2 and 2x + 4 which is,
4x - 2 = 2x + 4.
4x - 2x = 4 + 2.
2x = 6.
x = 3.
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help me with my math
Answer:
I could tell 1st one the answer is xy=5
8(-4a + 8b) = 240please
Answer:
= -32a+64b
Step-by-step explanation:
thats the answer
In order to keep track of the local alligator population, individual alligators are often tagged. This enables researchers to collect data on each animal continuously
Based on patterns in the data, at first glance, the model that appears to represent this data best is linear regression model
To select the best model, we need to examine the scatter plot and calculate the correlation coefficient to decide between linear or quadratic model. If linear pattern and high correlation, use linear model. If curved pattern and high correlation, use quadratic model.
What is the model about?Upon looking at the data, based on my observation, the data shows a linear model because of the pattern of weight gain with increasing length and as such, the data points show a tendency to form a straight line, showing a potential linear model.
The models of regression are linear, quadratic and exponential. So one can know the most suitable model for the data by examining the R-squared values of each model. The most suitable model would be the one with the highest R-squared coefficient.
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See text below
14. In order to keep track of the local alligator population, individual alligators are often tagged. This enables researchers to collect data on each animal continuously. The current weights and lengths of 13 alligators are given in the table.
Weight (lbs.) Length (in.)
51 74
44 61
80 86
28 58
70 88
110 94
83 86
61 72
54 74
106 90
90 86
33 63
95 95
a. Based on patterns in the data, at first glance, which model appears to represent this data
best? Why?
b. Which model is actually the best fit for the data? How do
you
know?
For what reason did Franklin take apart essays and put them back together again
Franklin wrote his autobiography for a number of reasons: to "remember" and relive his life, perhaps more perfectly, as he said at the beginning; to provide some genealogical anecdotes to his son; to bow before his friends To their flattery, he owes society an account of his life.
Benjamin Franklin was an American polymath author, scientist, inventor, statesman, diplomat, printer, publisher, forger, and political philosopher. Among the leading intellectuals of the time, Franklin was one of the founding fathers of the United States, the drafter and signer of the American Declaration of Independence, and the first postmaster of the United States.
As a scientist, he was an important figure in American Enlightenment history and physics as he studied electricity and mapped and named the Gulf Stream. As an inventor, he is known for the lightning bolt, bifocal glasses, and the Franklin stove, among others. He founded many civic organizations, including the Library Company, Philadelphia's First Fire Department, and the University of Pennsylvania. Franklin earned the title of "First American" for his early and tireless efforts to unify the colonies and for his work in London as a writer and spokesperson for several colonies. As the first United States Ambassador to France, he exemplified America's rise to power.
Franklin defined the American spirit as the combination of practical values of economy, industry, education, community spirit, self-government, and opposition to political and religious authoritarianism with the values of science and tolerance. clarification. In the words of historian Henry Steele Commager, "In Franklin it was possible to combine the virtues of faultless Puritanism, the lightness of Enlightenment without enthusiasm." Franklin has been called "the most able and influential American inventor in this type of society". America will become.
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Given v =(-12,-4), what are the magnitude and direction of v? Round the magnitude to the thousandths place and the direction to the nearest degree.
11.314; 18°
11.314; 198°
12.649; 18°
12.649, 198°
Step-by-step explanation:
Magnitude = sqrt ( (-12)^2 + (-4)^2 ) = sqrt 160 = 12.649
Angle = arctan(-4/-12) = 198 degrees
The Magnitude: 12.649 and Direction: 18° (option c).
To find the magnitude and direction of the vector v = (-12, -4), we can use the following formulas:
Magnitude (or magnitude) of v = |v| = √(vₓ² + \(v_y\)²)
Direction (or angle) of v = θ = arctan(\(v_y\) / vₓ)
where vₓ is the x-component of the vector and \(v_y\) is the y-component of the vector.
Let's calculate:
Magnitude of v = √((-12)² + (-4)²) = √(144 + 16) = √160 ≈ 12.649 (rounded to the thousandths place)
Direction of v = arctan((-4) / (-12)) = arctan(1/3) ≈ 18.435°
Since we need to round the direction to the nearest degree, the direction is approximately 18°.
So, the correct answer is:
Magnitude: 12.649 (rounded to the thousandths place)
Direction: 18° (rounded to the nearest degree)
The correct option is: 12.649; 18°
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