The interest on $5.255 at 12% for 30 days using ordinary interest is approximately $0.0511.
To calculate the interest using ordinary interest, we can use the formula:
Interest = Principal * Rate * Time
Here, the principal (P) is $5.255, the rate (R) is 12% (or 0.12), and the time (T) is 30 days.
Plugging in the values:
Interest = $5.255 * 0.12 * (30/365) = $0.0511 (rounded to four decimal places)
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Solve: 18/20 - 3/5 = ?
Answer; 1
Step-by-step explanation:
18/20-3/5
15/15
Answer:
6/20 or 3/10
Step-by-step explanation:
You just convert the second fraction's denominator to equal the first's (and modify the numerator accordingly), then subtract the numerators, in this instance, you muliply the 5 by 4 and what you do the bottom, you must do to the top, so you multiply 3 by 4 and get 12. 18 - 12 = 6, giving you 6/20, which converted is 3/10.
The sides of a parallelogram are 40 feet and 70 feet long, and the smaller angle has a measure of 36º.
Find the length of the longer diagonal to the nearest whole number.
A.44ft
B.105 ft
C.69 ft
D.64 ft
Step-by-step explanation:
the longer diagonal is =
√(40²+70²+2(40)(70)cos 36°)
= √(1600+4900+5600(0.8))
= √ 6500 + 4530
= √11,030
= 105 ft
Its not a quiz/test its homework thats due in a bit :)
Just to clear any misunderstandings that might arise
Step-by-step explanation:
\( \underline{ \underline{ \text{Given}} }: \)
Coordinates of E = ( -3 , 2 )Coordinates of H = ( 1 , -1 )\( \underline{ \underline{ \text{To \: find}}} : \)
Midpoint of EHLet E ( -3 , 2 ) be ( x₁ , y₁ ) & H ( 1 , -1 ) be ( x₂ , y₂ )
\( \underline{ \underline{ \text{Solution}}} : \)
\( \sf{Midpoint = ( \frac{x_{1} + x_{2}}{2} \: , \frac{ y_{1} + y_{2}}{2} )}\)
⟶ \( \sf{( \frac{-3 + 1}{2} \: , \frac{2 + ( - 1)}{2} )}\)
⟶ \( \sf{( \frac{-2}{2} \:, \frac{2 - 1}{2} )}\)
⟶ \( \sf{( -1 \: ,\frac{1}{2} )}\)
\( \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{(-1 \: , \: \frac{1}{2} )}}}}}}}\)
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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1 point
Question 2A (workbook):
(Technology required.) Graph the equation -x² + 8x using technology.
(Write your answers as ordered pairs with no spaces.)
a) Identify the horizontal intercepts.
b) Identify the maximum point.
The equation -x² + 8x using Desmos graphing calculator:
a) The horizontal intercepts are (-0, 0) and (8, 0).
b) The maximum point is (4, 16).
To graph the equation -x² + 8x using technology, we can use a graphing calculator or a software program like Desmos. The graph of this equation is a downward-facing parabola with its vertex at (4, 16).
To identify the horizontal intercepts, we need to find the values of x that make the y-coordinate zero. Setting -x² + 8x = 0 and solving for x gives us x = 0 and x = 8. Therefore, the horizontal intercepts are (0, 0) and (8, 0).
To identify the maximum point, we can use the fact that the vertex of a parabola is at the point (h, k), where h is the x-coordinate of the vertex and k is the y-coordinate of the vertex. In this case, the vertex is at (4, 16), so the maximum point is (4, 16). This means that the highest point on the graph occurs when x = 4, and the corresponding y-coordinate is 16.
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Which 30°-60°-90° triangle is labeled with the correct side length ratio?
1
60°
1
V3
60°
1
2
2
30°
60°
2
30°
30°
The First triangle which has 30°-60°-90° triangle and labeled with the correct side length ratio.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
As we observe the three triangles, the first triangle has a hypotenuse of length 2.
The second triangle has hypotenuse of length √3
The third triangle has hypotenuse of length 1.
We know that the sum of any two sides of a triangle is greater than or equal to the third side
The Hypotenuse measure is 2 because 2 is greater than √3 and 1
The first triangle has correct side length ratio
Hence, first triangle which has 30°-60°-90° triangle and labeled with the correct side length ratio.
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The average class size this semester in the business school of a particular university is 39.1 students with a standard deviation of 13.6 students. The z-score for a class with 16 students is _____.
The z-score for a class with 16 students is -1.70
The z-score for a class with 16 students in the business school of the particular university is approximately -1.22.
To calculate the z-score, we can use the formula:
z = (x - μ) / σ
Where:
x is the value we want to calculate the z-score for (in this case, the class size of 16),
μ is the mean (average) class size,
σ is the standard deviation.
Given that the average class size is 39.1 students (μ = 39.1) and the standard deviation is 13.6 students (σ = 13.6), we can substitute these values into the formula:
z = (16 - 39.1) / 13.6
Simplifying the equation, we have:
z = (-23.1) / 13.6
Dividing -23.1 by 13.6, we get approximately -1.70. Therefore, the z-score for a class with 16 students is approximately -1.70.
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Find the area of the parallelogram below by using the area formulas for rectangles and triangles.
a = 8 cm, b = 10 cm, and c = 4 cm
A.
64 cm2
B.
80 cm2
C.
24 cm2
D.
40 cm2
Answer: b
Step-by-step explanation:
You know the formula of a triangle is: (base*height)/2
So: 4*8=32
32/2=16cm^2
Since its a parallelogram, you could say that there are two of these triangles, so: 16*2=32cm^2
Now we're left with the part in the middle. The sides are now 8 by 8 because we took away 4 from 12, so: 8*8= 64cm^2
Now you just add all your values together, so: 32+64=96cm^2
yeah help me okay thanks
Answer:
4
3
Step-by-step explanation:
A random day is chosen (all days of the week are equally likely to be selected), and a random interval of length one hour is selected on the chosen day. It is observed that I did not receive any emails in that interval. What is the probability that the chosen day is a weekday
The probability that the chosen day is a weekday given that no emails were received in the randomly selected interval is 10/17.
Given that, A random day is chosen (all days of the week are equally likely to be selected), and a random interval of length one hour is selected on the chosen day. It is observed that I did not receive any emails in that interval.
We need to find the probability that the chosen day is a weekday.
To solve this problem, we can use Bayes' theorem. Let A be the event that the chosen day is a weekday and B be the event that there are no emails received in the randomly selected interval.
Then the probability of A given B is given by:
P(A | B) = P(A) × P(B | A) / P(B)
where,
P(A) = Probability that the chosen day is a weekday = 5/7 (since there are 5 weekdays out of 7 days in a week)
P(B | A) = Probability that there are no emails received in the randomly selected interval given that the chosen day is a weekday = Probability that the interval falls within the non-working hours of the day = 16/24 = 2/3 (since there are 16 non-working hours out of 24 hours in a day)
P(B) = Probability that there are no emails received in the randomly selected interval = Probability that the interval falls within the non-working hours of any day in a week = (5/7) × (2/3) + (2/7) × (4/24) = 34/63 (since the probability of selecting a weekday is 5/7 and a weekend day is 2/7, and the probability of the interval falling within non-working hours is 2/3 for weekdays and 4/24 for weekends)
Therefore,
P(A | B) = (5/7) × (2/3) / (34/63) = 10/17
The probability that the chosen day is a weekday given that no emails were received in the randomly selected interval is 10/17. Therefore, the answer is 10/17.
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1/2x=3/4y=6 can i please get hep
The solution to the system of equations is x = 3/2 and y = 6
How to determine the solution of the equation?The system of equations is given as:
1/2x = 3/4 and y = 6
The variables x and y in each of the above equations are independent
This is so because they only occur in one equation at a time
So, we have:
1/2x = 3/4
Multiply both sides by 2
x = 3/2
Hence, the solution to the system of equations is x = 3/2 and y = 6
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The Wells family drinks 6 1/2 gallons of milk per week. How much milk does the Wells family drink in five days?
Answer:
5.35 gallons in 5 days!
Step-by-step explanation:
6 1/2 aka 6.5/7= 1.07 gallons per day!
1.07*5=5.35!
esesrchers published a study that investigated the degroe to which a country's households waste food. The cesoarchers used data from 3 sos households to reasure the percentage of food a. Find a F9% considence inderval for 1 , the true mean anount of food wasted by aff households.
The 99% confidence interval for the true mean amount of food waster by all households is given as follows:
(36%, 37.6%).
How to obtain the confidence interval?The sample mean and the population standard deviation are given as follows:
\(\overline{x} = 36.8, \sigma = 17.9\)
The sample size is given as follows:
n = 3289.
Looking at the z-table, the critical value for a 99% confidence interval is given as follows:
z = 2.575.
The lower bound of the interval is given as follows:
\(36.8 - 2.575 \times \frac{17.9}{\sqrt{3289}} = 36\)
The upper bound of the interval is given as follows:
\(36.8 + 2.575 \times \frac{17.9}{\sqrt{3289}} = 37.6\)
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What is the slope of the linear regression prediction equation if a person with 12 years of schooling
On solving the provided question, we can say that the e slope of the linear regression prediction equation if a person with 12 years of schooling is 1.
what is linear regression?When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable. The procedure is known as multiple linear regression if there are numerous. A straight line is used to evaluate the relationship between the independent and dependent variables in a regression model known as simple linear regression. Both factors ought to be quantitative. The effect of the independent variable on the dependent variable is examined using simple linear regression. The second scenario, known as multiple linear regression, examines how various independent factors affect the dependent variable.
the e slope of the linear regression prediction equation if a person with 12 years of schooling
a. 1(correct)
b. 12
c. 13
d. 1,500
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approximately how many milliliters are contained in a half-cup of milk?
A. 50
B. 85
C. 120
D. 200
Given half-cup of milk. if we find how many milliliters are there in this cup we get it approximately equal to 120 milliliters.
In cooking and baking, cup measurements are commonly used. However, it's important to note that cup measurements can vary slightly depending on the country or region. In the United States, a standard cup measurement is equal to 240 milliliters.
A half-cup is exactly half of this measurement, which means it would be approximately equal to 240/2 = 120 milliliters. Therefore, option C, 120, is the closest approximation to the number of milliliters contained in a half-cup of milk. It's worth noting that for more precise measurements, it's always advisable to use a kitchen scale or measuring cup with milliliter markings.
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what is the difference between the critical value of z and the observed value of z (test statistic)?
The critical value of z separates the rejection region from the nonrejection region while observed value of z is the value calculated for a sample statistic such as x.
A critical value of z is used when the sampling distribution is normal, or close to normal. The critical value of z refers to the point that cuts off area under graph for the standard normal distribution separating the rejection and nonrejection region of the data. The Critical value of z can indicate what probability any particular variable will have. These values are typically obtained from a table such as the standard normal distribution table. The observed value of z is a value determined for a sample statistic x. It is a test statistic for Z-tests that measures the difference between an observed statistic and its hypothesized population parameter in units of the standard deviation.
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Choose the inequality that represents the following graph
Answer:
x<5
Step-by-step explanation:
The graph is from 5(not included) to negative infinity
Answer:
Answer is A!
Step-by-step explanation:
Basically, If the dot is NOT filled in, them it X will be ANY of the numbers (aside from the number the dot is on) on the blue arrow.
Your problem is asking you if numbers from 4 to -5 are bigger or smaller than 5.
The answers that have ≤ or ≥ mean that is can be either (below or higher depending on the direction the ≤ or ≥ is facing) or equal to the number on the dot. Hope this helps!
The profits in a business are to be shared by the three partners in the ratio of 3 to 2 to 5. The profit for the year was $176,500. Determine the number of dollars each partner is to receive.
For the year in which they earned $176,500, the partners will receive $52,950, $35,300, and $88,250 respectively.
Here let the partners be A, B, and C.
According to the question, A: B: C = 3: 2: 5
This implies that if the profits are divided into
3 + 2 + 5 = 10 equal parts, 3 of those parts will go to A, 2 of those parts will go to B and 5 of those parts will go to C.
Here the profits for the year are $176,500.
Now dividing them into 10 equal parts will give us the value of each part to be
$176, 500/10 = $17,650
Hence A will receive $17,650 X 3 = $52,950
B will receive $17,650 X 2 = $35,300
C will receive $17,650 X 5 = $88,250
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A cylinder has a height of 19 millimeters and a radius of 7 millimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Step-by-step explanation:
\(volume \: of \: cylinder = \pi \: {r}^{2} h \\ volume = 3.14 \times {7}^{2} \times 19 \\ = 2923.34 \: millimetres\)
Solve Each Equation
5. -8(5+4x)=-232
6. -84=4(4r+7)
Step-by-step explanation:
5.\( - 8(5 + 4x) = - 232\)
\( - 40 - 32x = - 232 \\ - 32x = - 232 + 40 \\ - 32x = - 192 \\ \frac{ - 32x}{ - 32} = \frac{ - 192}{ - 32} \\ \\ \huge x = 6\)
6.\( - 84 = 4(4r + 7) \\ - 84 = 16r + 28 \\ 16r = - 84 - 28 \\ 16r = - 112 \\ \frac{16r}{16} = - \frac{112}{16} \\ \\ \huge r = 7\)
Hope this helps you
One number is four more than a second number. Two times the first number is 10 more than four times the second number
Call the first number "x" and the second number "y". So the first number is 3.
From the problem statement, we know:
x = y + 4 (the first number is four more than the second number)
2x = 4y + 10 (two times the first number is 10 more than four times the second number)
Now we can solve for one of the variables in terms of the other, and then substitute that expression into the other equation to solve for the other variable. Let's use the first equation to solve for x:
x = y + 4
Substitute this expression for x into the second equation:
2x = 4y + 10
2(y + 4) = 4y + 10
Distribute the 2:
2y + 8 = 4y + 10
Subtract 2y from both sides:
8 = 2y + 10
Subtract 10 from both sides:
-2 = 2y
Divide both sides by 2:
-1 = y
Now we know that the second number is -1. We can use the first equation to find the first number:
x = y + 4
x = -1 + 4
x = 3
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Complete the sentence about Pattern G and Pattern H. Use the table to help H O O 2 16 4 24 Each term in Pottern Gl. corresponding term in Pattern H. 2 times 4 times
We can see that the values of H can be found dividing each value of G by 4. So, the answer is:
Each term in Pattern G is 4 times the corresponding term in Pattern H.
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If BC= 10 and DC = 4, what is the length of AC? (Note: the figure is not drawn to scale.)
Answer:
AC = 25 units
Step-by-step explanation:
Length of BC = 10 units
Length of DC = 4 units
We will use geometric mean theorem in the given right triangle to get the length of side AC.
\(\frac{\text{Hypotenuse}}{\text{leg}}=\frac{\text{leg}}{\text{Projection}}\)
\(\frac{AC}{BC}=\frac{BC}{DC}\)
\(\frac{x}{10}=\frac{10}{4}\)
x = \(\frac{10\times 10}{4}\)
x = 25 units
.5.1 The height AB (hint: Theorem of Pythagoras)
Answer: give me the context please
Step-by-step explanation:
After buying school supplies ruby had 32 left over. She spent 4 on notebook
Answer: 32 + 18 + 4 + 30 = 8432+30=6262+18=8080+4=84
Step-by-step explanation: i did this question before so i dont know if you can understand it but i got it correct last week
1
Is the value of -6 -6 POSITIVE, NEGATIVE, or ZERO?
Answer:
Negetive
Step-by-step explanation:
It helps to re-write.
-6 + -6 is the same as -6 -6
-6 + -6 = - 12
It would be different if these were multiplied together, but AS WRITTEN, they are subtracted. If it was (-6)(-6) or -6(-6) that would indicate multiplication as well.
The answer is negative.
is it a function? explain
Answer:
no
Step-by-step explanation:
I say that because one input is supposed to have only one output but (1,4)
(1,2) they have one input but two different outputs so it is not a function
Which of the following accurately summarizes a test variable
(independent variable) in an experiment?
Aconstant variable that is not changed
by the experimenter.
O Avariable that is measured in the
experiment.
Avariable that is changed in the
experiment on purpose by the
experimenter.
A statement that gives you information
about the control variable.
A variable that is changed in the experiment on purpose by the experimenter accurately summarizes a test variable (independent variable) in an experiment.
In an experiment, there are different types of variables that are used to measure the effect of the experiment on the outcome.
The independent variable, also known as the test variable, is the variable that is intentionally changed by the experimenter to measure its effect on the dependent variable, which is the variable that is being measured in the experiment.
Therefore, a variable that is changed in the experiment on purpose by the experimenter accurately summarizes a test variable (independent variable) in an experiment.
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Find the mean, the median, and the mode of each data set.
0 0 1 1 2 3 3 5 3 8 7
Answer:
mean is 3 median is 3 and mode is also 3
Step-by-step explanation:
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34.Imagine you're playing a board game that involves an hourglass filled with sand. Once all of the sand falls to the bottom, your turn is up and it's the next player's turn. If the sand falls at a rate of 16 cubic millimeters per second, how much time do you have for your turn
If the sand falls at a rate of 16 cubic millimeters per second, a player would have approximately 6.25 seconds for their turn.
The rate of sand falling from the hourglass is given as 16 cubic millimeters per second. We need to find out the time available for a turn. Let's assume that the hourglass is filled with 'x' cubic millimeters of sand.
We can use the formula:
Volume = Rate x Time
Here, the volume of sand is 'x' cubic millimeters, the rate is 16 cubic millimeters per second, and we need to find the time available for a turn, which we can represent as 't' seconds.
So,
x = 16t
We can rearrange this equation to find 't':
t = x/16
This means that the time available for a turn is equal to the volume of sand in the hourglass divided by the rate at which the sand falls.
We don't know the exact volume of sand in the hourglass, but let's assume it's 100 cubic millimeters.
Then,
t = 100/16
t = 6.25 seconds
So, in this case, a player would have approximately 6.25 seconds for their turn before all of the sand falls to the bottom of the hourglass.
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Elena tiene cubos de 12, 16 y 18 mm. Ella desea hacer tres torres, una con cada tipo de cubo. Las tres torres deben ser lo más pequeñas posibles, pero también deben compartir la misma altura. ¿Que altura en milímetros deberán tomar las torres?
A) 122 mm
B) 144 mm
C) 96 mm
D) 2 mm
La altura que deben tener las tres torres es 144 milímetros. (Opción B)
En este ejercicio se debe determinar la altura común de las tres torres, hechas cada una con cada tipo de cubo (12 milímetros, 16 milímetros y 18 milímetros). Un enfoque es determinar el mínimo común múltiplo de los tres números, a partir de descomposiciones factoriales de cada número:
\(12 = 2^{2}\times 3\)
\(16 = 2^{4}\)
\(18 = 2\times 3^{2}\)
El mínimo común múltiplo es el producto de las potencias de máximo orden de los números primos que componen a cada uno de los tres números:
\(m.c.m. = 2^{4}\times 3^{2}\)
\(m.c.m. = 144\,mm\)
La altura que deben tener las tres torres es 144 milímetros.
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