\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$1000\\ r=rate\to 1.25\%\to \frac{1.25}{100}\dotfill &0.0125\\ t=years\dotfill &2 \end{cases} \\\\\\ A=1000[1+(0.0125)(2)]\implies A=1000(1.025)\implies A=1025\)
Kara’s bedroom is in the shape of a rectangle. The perimeter of her room is 50 feet. The width of her room is 12 feet. What is the length of kara’s room?.
Answer:
13
Step-by-step explanation:
12x2=24
50-24=26
26/2
13
double check
13x2=26
12x2=24
26+24=50
Hope this helps, love.
Leo says that the product of n x 4/5 is greater than 4/5 because multiplication always increases a number. Which of the following values could be used for "n" that would prove that Leo is incorrect? Choose all the correct answers.a) 2b) 5/8c) 6/6d) 7/6e) 5/4
The correct answer is 5/8. Option b)
In math, to multiply means to add equal groups. When we multiply, the number of things in the group increases.
from given statements that, the product of n x 4/5 is greater than 4/5 because multiplication always increases a number.
n × 4/5 > 4/5 ⇒?
so, what are the "n" values will prove that above statement is incorrect.
so, if we put the all given options values of "n" in n × 4/5, then
⇒ n=2
8/5 > 4/5
⇒ n=5/8
20/40 < 4/5
⇒ n=6/6
1 > 4/5
⇒ n=7/6
28/30 > 4/5
⇒ n=5/4
20/4 > 4/5
Therefore, The correct answer is 5/8. Option b)
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In how many years the interest of Rs 25000 at 5.5% per year will be Rs3300?
Plzz help!!!
Answer:
37.82 year(s)
Step-by-step explanation:
double check tho, i might be using different method or my ans could be wrong since you gave literally no info on your specific task
A triangle has vertices at (-2, 3), (3, 4) and (4, -1). If this triangle is dilated by a factor of 2, what are the new vertices of the transformed triangle?
Answer:
(-4,6), (6,8), (8, -2)
Step-by-step explanation:
i think you multiply them by two
The number of students at the start of the week that had a late library book was 200 students. By the end of the week there were only 80 students with a late library book? Is it a increase or decrease in by what percentage? 
On solving the provided question, we can say that - so, percentage - 400/500 X 100 = 80%
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
here,
total is 500
obtained is 400
so, percentage - 400/500 X 100 = 80%
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A ball is kicked horizontally at 23.8 m/s from the top of a 138.3 meter cliff. How far from the base of the cliff will the ball land on the ground?
Answer:
24.5 m/s
Because this acceleration is attributable to gravity, G into T, it turns out to be zero plus 9.8 into 2.5, which is 24.5 m/s.
Step-by-step explanation:
Hope this helps
Please help me solve this this math problem... I will mark you brainliest
Answer:
by congruency theorem <ACB= <DEB
so 5y-3=72
5y=72+3
5y=75
y=15⁰
Which is the equation of the line with slope 5 that contains point (-2, -3)?
A. y+2=5(x-3)
B. y+3=5(x+2)
C. y-3=5(x-2)
D. y-2=5(x-3)
Answer:
y+3=5(x+2)
Step-by-step explanation
1.y+3=5(x+2)
2.y+3=5x+10
Substitute
3.-3+3=5(-2)+10
4.0=-10+10
5.0=0
Jonathan and Oscar began saving money the same week. The table shows the models for the amount of money Jonathan and Ove saved after x weeks.
Jonathan's Savings
F (x)=18x+5
Oscar's Savings
G(x)=8x + 25
Jonathan and Oscar will have the same amount of money saved after
Jonathan and Oscar will have the same amount of money saved after 2 weeks.
An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
An equation in math is an equality relationship between two expressions written on both sides of the equal to sign.
For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7. There are different types of equations like linear, quadratic, cubic, etc.
If they have same amount of money then,
f(x) = g(x)
18x+5 = 8x+25
10x = 20
x = 2 weeks
Therefore, Jonathan and Oscar will have the same amount of money saved after 2 weeks.
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Mr. A sold his land to Mr.B at a profit of 10%. Mr.B. sold it to Mr.C at a gain of 5%. Mr.C.paid N1240 more for the house than Mr. A paid. What did Mr. A paid.
Answer:
Mr. A initially paid approximately N8000 for the land.
Step-by-step explanation:
Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.
Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.
Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.
Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240
Step 5: Simplifying the equation: 1.155x - x = N1240
Step 6: Solving for x: 0.155x = N1240
x = N1240 / 0.155
x ≈ N8000
Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.
A random sample of 100 men is chosen from a population * Uh mean height 70 inch and standard deviation 2.5 inch. What is the probability that the average height of the sample men is greater than 69.5
The probability that the average height of the sample men is greater than 69.5 inches is approximately 0.9772 or 97.72%.
To find the probability that the average height of the sample men is greater than 69.5 inches, we will use the Central Limit Theorem and the z-score formula.
Identify the given values:
- Population mean (μ) = 70 inches
- Population standard deviation (σ) = 2.5 inches
- Sample size (n) = 100
- Sample mean (\(\bar{x}\)) = 69.5 inches.
According to the Central Limit Theorem, the distribution of sample means will be approximately normally distributed with mean μ and standard deviation σ/√n.
Calculate the standard deviation of the sample means \((\sigma \bar{x} )\)
\((\sigma \bar{x} ) = \sigma /\sqrt{n }\)
= 2.5/√100
= 2.5/10
= 0.25
Calculate the z-score using the formula:
\(z = ([\bar{x}- \mu )/\sigma\bar{x}\)
= (69.5 - 70)/0.25 = -0.5/0.25
= -2
Use a z-table or calculator to find the probability that a z-score is greater than -2:
P(z > -2) = 1 - P(z ≤ -2) = 1 - 0.0228 = 0.9772.
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Let f(x) = c 1 + x2 .
(a) For what value of c is f a probability density function?
(b) For that value of c, find
P(−9 < X < 9).
(Round your answer to three decimal places.)
(a) To be a probability density function, f(x) must satisfy two conditions: f(x) ≥ 0 for all x. The total area under the curve of f(x) must be equal to 1.
We have:\(f(x) = c/(1 + x^2)\)
For f(x) to be non-negative, we need c > 0. To find the value of c such that the total area under the density function of f(x) is equal to 1, we integrate f(x) from −∞ to +∞ and set the result equal to 1:
∫(−∞ to +∞) f(x) dx = ∫(−∞ to +∞) c/(1 + x^2) dx = cπ = 1
Therefore, c = 1/π, and f(x) = 1/(π(1 + x^2)) is a probability density function.
(b) We want to find \(P(−9 < X < 9) for X ~ f(x) = 1/(π(1 + x^2))\)
Using the cumulative distribution function (CDF), we have:
\(F(x) = P(X ≤ x) = ∫(−∞ to x) f(t) dt = ∫(−∞ to x) 1/(π(1 + t^2)) dt\)
\(= (1/π) tan^−1(x) + (1/2)\)
So, using the CDF, we have:
\(P(−9 < X < 9) = F(9) − F(−9) =\) \([tan^−1(9)/π + 1/2] − [tan^−1(−9)/π + 1/2]\)
=\([tan^−1(9) − tan^−1(−9)]/π\)
=\((1/π) tan^−1(9/−1)\)
= 0.499 (rounded to three decimal places)
Therefore, P\((−9 < X < 9) ≈ 0.499.\)
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Convert the numeral to a numeral in base ten ABC4 base
16
ABC4 base 16 is equal to 43972 in base ten (decimal).
What is numeral?In order to represent any given number, numerals might be numbers, symbols, figures, or sets of figures.
To convert the number ABC4 base 16 to a numeral in base ten (decimal), we can use the positional notation system. Each digit in the number represents a power of 16, starting from the rightmost digit.
The rightmost digit is 4, which represents 4 x 16⁰ = 4 x 1 = 4.
The next digit is C, which represents 12 (since C is equivalent to the decimal number 12), and it is in the second position from the right. So the value of the second digit is 12 x 16¹ = 12 x 16 = 192.
The next digit is B, which represents 11, and it is in the third position from the right. So the value of the third digit is 11 x 16² = 11 x 256 = 2816.
The leftmost digit is A, which represents 10, and it is in the fourth position from the right. So the value of the fourth digit is 10 x 16³ = 10 x 4096 = 40960.
Now we can add up the values of each digit to get the decimal equivalent of the number:
4 + 192 + 2816 + 40960 = 43972
Therefore, ABC4 base 16 is equal to 43972 in base ten (decimal).
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If Karen finished watching a movie at 1:10 pm, and it lasted 1 hour 38 minutes, then what time did she start the movie
Answer:
11.32pm
Step-by-step explanation:
1.10pm - 1hr = 12.10pm
12.10pm - 38min = 11.32pm
Answer:
1:38 minus and hour which is 12:38now minus 38 minutes from an hour is 22 so the answer is 12:22
Please help me with edge question .
\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)
What is this expression in simplified form?
4/14 - 11/14
Answer:
baiBsiasbisvdxhsbhssj
Answer:
-1/7
is the answer of your question
Type the missing number to complete the proportion. 86 chairs in 2 rows = chairs in 1 row Submit
hello
from the question given, we have
\(\begin{gathered} 86\text{chairs}=2\text{rows} \\ x\text{ chairs= 1 row} \end{gathered}\)cross multiply both sides
\(\begin{gathered} 86\text{chairs}=2\text{rows} \\ x=1 \\ 2\times x=86\times1 \\ 2x=86 \\ \end{gathered}\)divide both sides by 2
\(\begin{gathered} \frac{2x}{2}=\frac{86}{2} \\ x=43 \end{gathered}\)from the calculation above, we have 43 chairs in 1 row
true or false: in a two-sided test for mean, we do not reject if the parameter is included in the confidence interval.
By null hypothesis the given statement " in a two-sided test for mean, we do not reject if the parameter is included in the confidence interval."is True.
In a two-sided test for mean, if the null hypothesis is that the population mean is equal to some value μ0, then the alternative hypothesis is that the population mean is not equal to μ0.
If we compute a confidence interval for the population mean using a certain level of confidence (e.g. 95%), and the confidence interval includes the null value μ0, then we fail to reject the null hypothesis at that level of confidence.
This is because the confidence interval represents a range of plausible values for the population mean, and if the null value is included in that range, we cannot say that the data provides evidence against the null hypothesis.
However, if the confidence interval does not include the null value μ0, then we can reject the null hypothesis at that level of confidence and conclude that the data provides evidence in favor of the alternative hypothesis that the population mean is different from μ0.
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sorry this answer was wrong on zearn pls comeback to me for the right answer.
Answer:
what?
Step-by-step explanation:
Answer:
what you mean
I do not understand what this means
a tank contains 150 liters of fluid in which 20 grams of salt is dissolved. brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 3 l/min; the well-mixed solution is pumped out at the same rate. find the number a(t) of grams of salt in the tank at time t.
The initial amount of salt is 20 grams and the rate of change is equal to the difference between the rate at which salt enters the tank and the rate at which it leaves. This is expressed by the equation a'(t) = 1 - (a(t)/150)*3, where a'(t) is the derivative of a(t) with respect to time.
The function a(t) is given by a differential equation, which describes the rate of change of the amount of salt in the tank with respect to time.
To solve the differential equation, we can use separation of variables and integrate both sides with respect to t.
This gives us
ln|a(t)-50| = -3/50*t + C, where C is a constant of integration. Solving for a(t), we get
\(a(t) = 50 + Ce^(-3/50*t).\)
Using the initial condition a(0) = 20, we can solve for the constant C, which is C = -30.
Therefore, the function a(t) is \(a(t) = 50 - 30e^(-3/50*t).\). The function tells us the number of grams of salt in the tank at any given time t.
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Which compound equalities have x = 2 as a solution? Check all that apply.
Answer: 4 < 5x – 1 < 10 4 < 5x – 3 < 10 4 < 2x + 1 < 10 4 < 2x + 3 < 10
A trader buys some goods for Rs 150. if the overhead expenses be 12% of the cost price, then at what price should it be sold to earn 10% profit?
Answer:
Rs.184.80
Step-by-step explanation:
Total cp =(cp + overhead,expenses)
Total cp =150 + 12% of 150
Total,cp = 150 + 12/100 × 150 = Rs 168
Given that , gain = 10%
Therefore, Sp = 110/100 × 168 = Rs 184.80
Someone please help me with the work portion of this problem !
Answer:
Step-by-step explanation:
First, we use alternating angles which makes (8x -34) = (5x + 2)
8x - 34 = 5x + 2
Then we collect similar terms
8x - 5x = 2 + 34
3x = 36
x = 12
Since ∠DEF is 5x + 2 and x is 12
Sub x into the expression
5(12) + 2
60 + 2 = 62
∴ ∠DEF = 62°
Please help me!!!! DO NOT SEND LINK!
Answer:
250 min
Step-by-step explanation:
90-75=15
15/ 0.06= 250
250 minutes per month
is something is less than 5 , do i include 5
Answer:
No.
Step-by-step explanation:
If something is less than 5, no, however if something is less than or equal to (≤ sign), then yes.
Answer:
no
Step-by-step explanation:
An algorithm is a calculation that determines how long it will take to solve a problem. True or False?
The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.
An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.
Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.
Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.
In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.
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what is the exact duplication of elements (shapes, forms, etc.) on either side of a central axis?
The exact duplication of elements on either side of a central axis is called symmetry. Symmetry refers to the property of an object or system where it exhibits a precise duplication of elements on either side of a central axis or plane.
This duplication can occur in various forms, such as shapes, patterns, or structures. Symmetry is a fundamental concept in mathematics, art, design, and science. It is often studied and utilized to create aesthetically pleasing compositions, identify patterns, and analyze the properties of objects.
Symmetry can be classified into different types, such as bilateral symmetry (reflectional symmetry) where the object is identical on both sides of a vertical axis, or radial symmetry where the object is identical around a central point.
The concept of symmetry plays a significant role in diverse fields, including geometry, biology, crystallography, and physics.
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A circle is drawn on the (x,y) coordinate plane so that the center is at the point (-3,0). If the radius of the circle is 5, then each of the following points lie on the circle's circumference EXCEPT:
Answer:
2,5
Step-by-step explanation:
since radius is 5
each point lies on the circumference that has 5 or -5 in its y coordinates must have -3 in its x coordinate because -3 is the center
then option number 1 is incorrect
second option is correct , -3 + ( -5 ) = -8
third option is correct, -3 + 5 = 2
fourth is correct, -3 is the center and 5 steps on y axis
fifth is the same as fourth but opposite direction
so the first one is the exception
given the following information, the test statistic is n = 49, xbar= 50, s = 7, h0: m => 52 ha: m < 52 the test statistic for the above information is
In this scenario, we are given the following information: sample size (n) is 49, sample mean (P) is 50, sample standard deviation (s) is 7, null hypothesis (H₀) states that the population mean (μ) is greater than or equal to 52, and the alternative hypothesis (Hₐ) states that the population mean is less than 52.
The test statistic for this situation is the t-statistic, which measures the difference between the sample mean and the hypothesized population mean, taking into account the sample size and the sample standard deviation. It is used to assess the evidence against the null hypothesis. In this case, since the alternative hypothesis states that the population mean is less than 52, we have a left-tailed test. To calculate the t-statistic, we use the formula:
t = (P - μ) / (s / √n)
Plugging in the given values:
t = (50 - 52) / (7 / √49) = -2 / (7 / 7) = -2
Therefore, the test statistic for the provided information is -2. This value represents the standardized difference between the sample mean and the hypothesized population mean, accounting for the sample size and standard deviation. It indicates that the sample mean is 2 standard deviations below the hypothesized population mean of 52.
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is 5/8 a terminating or repeating decimal
Answer: Terminating decimal
Step-by-step explanation:
change the fraction 58 into a decimal.
58=0.625 .