Answer:
A. Simple interest is calculated on the principal, or original, amount of a loan. Compound interest is calculated on the principal amount and also on the accumulated interest of previous periods, and can thus be regarded as "interest on interest."
B. Simple interest=P×i×n
where: P=Principle
i=interest rate
n=term of the loan
Compound interest=[P(1+i)n]−P
Compound interest=P[(1+i)n−1]
where: P=Principle
i=interest rate in percentage terms
n=number of compounding periods for a year
The graph of h (x) =lx-10l+6 is shown. On which interval is the graph increasing?
(-∞,6)
( -∞,10)
(6,∞)
(10,∞)
The interval in which the graph increasing is (10,∞). The correct option is D.
What is an absolute function?The absolute value or modulus of a real number x denoted |x| in mathematics, is the non-negative value of x regardless of its sign. Specifically, if x is a positive number,|x|=x.
In discrete mathematics, and more specifically in graph theory, a graph is a structure consisting of a set of objects, some of which are "related" in some way. The objects correspond to mathematical abstractions known as vertices, and each pair of related vertices is known as an edge.
The given absolute function is h (x) =lx-10l+6. When we plot the graph of the function it is observed that the graph is increasing from 10 to ∞. The graph is attached with the answer below.
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HELP NEED FAST!!!!!!
Which graph shows a negative slope and a positive y-intercept?
Answer:
the second one on the top right
Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation:
You can tell by where the line crosses the y-intercept as a positive, and the direction in which the line is going tells you it has a negative slope
Which situation can be represented by -35 + 35? Choose all that apply.
Last night Jenny read 35 fewer pages than the night before. She reads 35 pages tonight.
A diver is 35 feet below the surface of the water and then comes up to the surface.
Eric adds 35 milliliters of water to a test tube containing 35 milliliters.
Manuel owes the electric company $35 and he pays them $35.
Answer: B & D
Step-by-step explanation:
In this scenario we want to come out with a situation where both sides are in an even playing field, as the equation solves to zero.
If a diver is 35 feet below water (-35) and he comes up to breathe, he goes up 35ft (35) meaning he is at the surface (0).
If Manuel is in debt for 35$ (-35) and then he pays off the 35$ (+35) then he is even (at 0).
Answer:
A diver is 35 feet below the surface of the water and then comes up to the surface.
How to convert angle to numbers
Answer:
If you have an angle given in the form of degrees (°), minutes ('), and seconds ("), you can convert it to decimal degrees using the following formula: decimal degrees = Degrees + minutes/60 + seconds/3600.
For example, if you have an angle of 45° 34’ 53", you can convert it to decimal degrees as follows: 45 + 34/60 + 53/3600 = 45.581389 degrees
Type the correct answer in the box. Use numerals instead of words.
For this item, if the answer is not a whole number, enter it as a fraction in simplest form using / as the fraction bar.
Isolde is stacking books. The stack of books forms a rectangular prism.
Each book is the same size. Isolde knows the area of the base of one book is 22 1/2 square inches and each book is 3/4 inch thick.
The volume of a stack of 9 books is cubic inches.
The volume of a stack of 9 books is 1368.75 cubic inches.
Volume of a book stackTo find the volume of a stack of 9 books, we first need to find the height of the stack. Since each book is 3/4 inch thick, the height of the stack is 9 times 3/4 inch, which is 6 3/4 inches.
Now we need to find the area of the base of the rectangular prism formed by the stack of books. Since each book has an area of 22 1/2 square inches, the total area of the base of the stack is 9 times 22 1/2 square inches, which is 202 1/2 square inches.
Therefore, the volume of the stack of 9 books is:
Volume = Area of base x heightVolume = (202 1/2 square inches) x (6 3/4 inches)Volume = 1368.75 cubic inchesMore on volume of stacked books can be found here: https://brainly.com/question/1058070
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Is it possible to make the left and right expressions have the same value? Explain your thinking.
It is possible for equivalent expressions to make the left and right expressions have the same value
What is Expression?An expression is combination of variables, numbers and operators.
We have to check whether it is possible to make the left and right expressions have the same value
If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
For example 2x+4=2(x+2)
When we plug in x as 2
2(2)+4=2(2+2)
4+4=2(4)
8=8
Hence, its possible to make the left and right expressions have the same value when the expressions are equivalent.
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emma advertises a reward for the return of her lost dog. frank, who does not know of the reward, finds and returns the dog. frank cannot recover the reward because he
Frank cannot recover the reward because he was unaware of the reward being offered by Emma.
In order to claim the reward, one typically needs to have knowledge of the reward prior to finding and returning the lost item or fulfilling the specified condition. Since Frank was unaware of the reward, he would not have had the opportunity to intentionally seek the dog with the expectation of receiving the reward. As a result, Emma is not obligated to provide the reward to Frank in this situation.
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Find the exact solution to the equation. (2 points) five to the power of quantity nine minus three x equals one hundred and twenty five.
Answer:
x = 2
Step-by-step explanation:
Five to the power of quantity nine minus three x equals one hundred and twenty five.
----------------------
5^(9 - 3x) = 1255^(9 - 3x) = 5^39 - 3x = 33x = 9 - 33x = 6x = 6/3x = 2Kara is sorting buttons by length for a craft project. If Kara lines up all the 3/4-inch buttons, what would be the total length
If Kara lines up all the 3/4-inch buttons for her craft project, the total length would be 7.5 inches.
To find the total length of the 3/4-inch buttons that Kara lines up for her craft project, we need to multiply the length of each button by the number of buttons. Let's assume she has 10 of these buttons. Each button has a length of 3/4 inch.
The total length of all the 3/4-inch buttons that Kara lines up for her craft project can be calculated by multiplying the number of buttons by their length.
Let's assume Kara has 10 3/4-inch buttons.
To find the total length, we need to multiply the length of each button by the number of buttons.
The length of each button is 3/4 inch, and the number of buttons is 10.
So, the total length would be (3/4 inch) * 10 = 7.5 inches.
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2 Points
Chelsea saw an advertisement for a loan that offered 6 months, same as
cash. If she takes the loan, which of these scenarios is most likely to occur?
O
A. Chelsea won't be charged interest for the first 6 months of the
loan, but she will have to make payments for the first 6 months.
O
B. Chelsea will be charged interest for the first 6 months of the loan,
and she will also have to make payments for the first 6 months.
O
C. Chelsea will be charged interest for the first 6 months of the loan,
but she won't have to make payments for the first 6 months.
D. Chelsea won't be charged interest for the first 6 months of the
loan, nor will she have to make payments for the first 6 months.
Based on the information provided regarding same as cash loans, Chelsea won't be charged interest for the first 6 months of the loan, nor will she have to make payments for the first 6 months. (Option D)
A Same-As-Cash Loan refers to a short-term lending solution in which no interest or monthly payment are required to be paid during a set “Same-As-Cash” period. At the end of a predetermined period, the loan is paid off. Hence, the customer owes no interest or monthly payments during a set promotional period and pays the same amount on the loan as they would have paid up front with cash. These are interest deferred loans in which the loans interest still accrues during that promotional period, however if the customer pays off the entire principal balance before the period ends, they are not required to pay that interest. The advantage of these loans is that customers may spend the same amount they would have if they had paid with cash up front. Hence, if Chelsea opts for loan that offered 6 months, same as cash, there would be no requirement of payment or interest charged for the 6 months.
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The table shows the results of an experiment in which three coins were tossed.
What is the experimental probability that at least two of the coins will be heads? The theoretical probability?
The experimental probability that at least two heads would be gotten is 11 / 25.
The theoretical probability that at least two heads would be gotten is 1/2.
What are the probabilities?Probability calculates the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
Experimental probability is based on the result of an experiment that has been carried out multiples times.
Experimental probability = number of times at least two heads would be gotten / total number of tosses
( 5 + 6 + 6 + 5)/50 = 22/50 = 11 / 25
Theoretical probability = number of times at least two heads would be gotten / total number of possible outcomes
4 / 8 = 1/2
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Researchers investigated whether there is a difference between two headache medications, R and S. Researchers measured the mean times required to obtain relief from a headache for patients taking one of the medications. From a random sample of 75 people with chronic headaches, 38 were randomly assigned to medication R and the remaining 37 were assigned to medication S. The time, in minutes, until each person experienced relief from a headache was recorded. The sample mean times were calculated for each medication. Have the conditions been met for inference with a confidence interval for the difference in population means? A Yes, all conditions have been met. B No, because the data were not collected using a random sample. © No, because cause and effect cannot be inferred since there is a random sample No, because the sample sizes are not large enough to assume the distribution of the difference in sample means is approximately normal. (E) No, because the sample sizes are not the same.
The correct answer is option D. No, because the sample sizes are not large enough to assume the distribution of the difference in sample means is approximately normal.Researchers investigated whether there is a difference between two headache medications, R and S.
Researchers measured the mean times required to obtain relief from a headache for patients taking one of the medications. From a random sample of 75 people with chronic headaches, 38 were randomly assigned to medication R and the remaining 37 were assigned to medication S. The time, in minutes, until each person experienced relief from a headache was recorded. The sample mean times were calculated for each medication.To construct a confidence interval, we require that some conditions are satisfied. The assumptions that should be met for inference with a confidence interval for the difference in population means are as follows:The data is independent;The data in each group should be roughly normally distributed;Both groups have the same variance, and each group should have a large enough sample size so that the central limit theorem (CLT) holds. The CLT holds for the difference in the sample means since both samples are taken from a population that is normally distributed. We can also assume that the sample size is large enough to use the t-distribution since each sample has more than 30 observations. As a result, all of the conditions have been met. As a result, we may employ a t-distribution to make inferences about the population difference between the two headache medications.
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Can someone please help me I I’ll give u brainest
Answer:
b. translation, rotation
Step-by-step explanation:
When a shape is translated, that just means nothing about it has changed except it's location on the coordinate plane. This is that happened with shape 1 - it was translated, and that created shape 2.
When a shape is rotated, that just means it is turned (or rotated) at a specific point. This is what happened to shape 2 that changed it to shape 3.
The other two transformations that aren't shown in this specific example are dilation, which means that the shape either shrinks or grows, and reflection, which means that the shape is reflected across the y-axis or the x-axis.
I included a picture with all four transformation examples in it. I hope this helps! Have a lovely day!! :)
Write the equation of the line that goes through the points (7,3) and (-14,9).
PLEASE HELP
First find slope (m):
\(\sf \bold{slope-formula: {\frac{y2-y1}{x2-x1} }}\)
\(\rightarrow \sf \dfrac{9-3}{-14-7}\)
\(\rightarrow \sf \dfrac{6}{-21}\)
\(\rightarrow \sf -\dfrac{2}{7}\)
equation:
y - y₁ = m ( x - x₁ )
\(\rightarrow \sf y - 3 = -\dfrac{2}{7} ( x - 7)\)
\(\rightarrow \sf y = -\dfrac{2}{7} x +2 +3\)
\(\rightarrow \sf y = -\dfrac{2}{7} x +5\)
(8w^7 x^-5 y^3 z^-9)^2/3
Please find an equivalent answer to the problem.
Answer:
your answer will be option A
Step-by-step explanation:
(8w^7x^-5y^3z^-9)-2/3
= (8)-2/3×(w^7)^-2/3×(x^-5)^-2/3×(y^3)^-2/3×(z^-9)-2/3
=(2^3)^-2/3×w^-14/3×x^10/3
xy^-2xz^6
=2^-2 w^-14/3 x^10/3 y^-2 xz^6
=1/4×1/w^14/3× x^10/3 xz^6/y^2
=x^10/3z^6/4w14/3y^2
hope it helps..
have a great day!!
simply 49 square root completely
Answer: 7
Step-by-step explanation:
We know that 7 times 7 is 49, so
\(\sqrt{49}\) = \(\sqrt{(7 )(7)}\) = 7
Drag the expressions to the correct functions. Not all expressions will be used.
Consider the functions fand g.
= 4x² + 1
g(x) =
Perform the function compositions:
x² - 3
The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)).
Let the functions be f(x) = 4x² + 1 and g(x) = x² - 3
The correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and
(g o f)(x) = 16x⁴ + 8x² - 2.
What is composition function?The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g exists used for the outcome of applying the function f to x.
Given:
f(x) = 4x² + 1 and g(x) = x² - 3
a) (f o g)(x) = f[g(x)]
f[g(x)] = 4(x² - 3)² + 1
substitute the value of g(x) in the above equation, and we get
= 4(x⁴ - 24x + 9) + 1
simplifying the above equation
= 4x⁴ - 96x + 36 + 1
= 4x⁴ - 96x + 37
(f o g)(x) = 4x⁴ - 96x + 37
b) (g o f)(x) = g[f(x)]
substitute the value of g(x) in the above equation, and we get
g[f(x)] = (4x² + 1)²- 3
= 16x⁴ + 8x² + 1 - 3
simplifying the above equation
= 16x⁴ + 8x² - 2
(g o f)(x) = 16x⁴ + 8x² - 2.
Therefore, the correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and
(g o f)(x) = 16x⁴ + 8x² - 2.
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452.16 rounded to the nearest tenth
Answer: 452.2
Step by Step Explanation: Find the number in the tenth place 1 and look one place to the right for the rounding digit 6 round up if this number is greater than or equal to 5 and round down if it is less than 5
.
Rounding 452.16 to the nearest tenth gives us: 452.1.
Given that we need to round 452.16 to the nearest tenth,
We look at the digit in the hundredth place, which is the second decimal place, and round 452.16 to the nearest tenth.
One is the digit at the hundredth position.
We round down because 1 is less than 5, therefore.
Simply drop all the digits following the tenths place and leave the tenths place digit alone if you want to round down.
Rounding 452.16 to the nearest tenth, we obtain: 452.1.
Hence rounding 452.16 to the nearest tenth gives us: 452.1.
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explain why the following equation is nonlinear. y=3x^5
plz help
Answer:
A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 5 .
Therefore, it is not linear.
A streetlamp illuminates a circular area that is 17 meters across through the center. How many square meters of the street is covered by the light? Round to the nearest hundredth and approximate using π = 3.14.
A) 226.87 m2
B)453.73 m2
C)907.46 m2
D)1,814.92 m2
The square meters of the street covered by the light is 907.46 square meters
How many square meters of the street is covered by the light?From the question, we have the following parameters that can be used in our computation:
Radius,r = 17 meters
The area is then calculated as
Area = π * r * r
Substitute the known values in the above equation, so, we have the following representation
Area = 3.14 * 17 * 17
Evaluate
Area = 907.46
Hence, the area is 907.46 square meters
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In the diagram below, UV is parallel to RS. If the length of RS is the same as the
length of UT, RT = 14, and UV = 5, find the length of UT. Figures are not
necessarily drawn to scale. State your answer in simplest radical form, if necessary.
S
00
Answer: UT =
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49°F Mostly doudy
^ x
The length of UT is given as 7
Similarity of shapesSimilar shapes are shapes that have the same sides and angles.
Given the following parameters from the figure
RT = 14UV = 5Taking the ratio of the similar sides
TU/UV = RT/RS
UT/5 = 14/10
10UT = 70
UT = 7
Hence the length of UT is given as 7
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Write down the ratio of 220kg to 5kg give your answer in its simplest form?
Answer:
44:1
Step-by-step explanation:
220:5
44:1
divide by 5 each side
Pls mark as brainliest
Your teacher asked your class to describe a real world situation in which a y-intercept is 100 and the slope is 5. Your partner gave the following description: My younger brother originally had 100 small building blocks, but he has lost 5 of them every month since. What mistake did your partner make?
Answer:
He should have said that his small brother had 100 small building bricks, but lost 5 in total now.
The diagonal of a square is x units. What is the area of the square in terms of x? One-half x squared square units x squared square units 2x square units One-half x square units
Answer: \(\frac{1}{2} x^{2}\)
Step-by-step explanation:
The area of a square is \(\frac{1}{2} d^{2}\)
Substituting d for x, you get 1/2x^2
Hope this helps <3
Answer:
1/2x^2 square units
Step-by-step explanation:
if 0 is an eigenvalue of the matrix of coefficients of a system of n linear equations in n unknowns, then the system has infinitely many solutions.
The statement given "if 0 is an eigenvalue of the matrix of coefficients of a system of n linear equations in n unknowns, then the system has infinitely many solutions." is true because if 0 is an eigenvalue of the matrix of coefficients of a system of n linear equations in n unknowns, then the system has infinitely many solutions
If a matrix of coefficients of a system of n linear equations in n unknowns has 0 as an eigenvalue, it implies that the homogeneous version of the system (where all constant terms are 0) has non-trivial solutions. This is because the eigenvectors associated with 0 eigenvalue form the null space of the matrix, which represents the set of all solutions to the homogeneous system.
Since the homogeneous system has non-trivial solutions, this means that the original system of equations is linearly dependent, which in turn implies that there are infinitely many solutions. This is because there are linear combinations of the given solutions that are also solutions to the system. Therefore, the statement "if 0 is an eigenvalue of the matrix of coefficients of a system of n linear equations in n unknowns, then the system has infinitely many solutions" is true.
""
if 0 is an eigenvalue of the matrix of coefficients of a system of n linear equations in n unknowns, then the system has infinitely many solutions. true or false
""
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What is the area of a rectangle with vertices at (7,3) (12,3) (12,11) (7,11)
Answer:
Area = 5 × 8
= 40 square units
Answer:
40^2
Step by Step Solution:
I counted the difference between the length and the width, which was 5 and 8, then using the formula for area, lw=a^2, I did 5(8)=40^2. Some people leave out the squared part of the area, but 40^2 would be the most correct option if they do not square any of the answers, just put 40 that'll probably be accepted too.
there are cups of oatmeal in a container strlla eats 1/3 cup of the oatmeal every day for breakfast in how many days will stella fish all the oatmeal in the container explain your answer
Answer:
She never will finish it, or she finishes it in 3 days.
Step-by-step explanation:
The 1/3 would get smaller every day and we of oatmeal in the cup there for shell never finish it due to lack of information. Hope this helps.
PLSSSSS HELP WILL MARK BRAINLIEST
If the expression is expanded, what is the coefficient of x?
4 (3x + 5)
Coefficient of x =
Answer:
12
Step-by-step explanation:
Start by expanding the expression:
4(3x+5)
Distribute the 4 to each of the numbers in the parentheses
12x+20
The coefficient of x is basically what is being multiplied by x. In this scenario, we can expand 12x to be...
12*x
Which means that the coefficient of x is 12
12x+20
12x+20=0
12x=-20.
12÷12x=-20÷12
x=-5/3
x=negative five over three
How would the graph of y = x change if the y-intercept is changed to -2?
Answer:
Step-by-step explanation:
y= x - 2
the graph would be parallel to y=x and every point would be shifted down 2 units
If you took any point on y = x and represented it as (x,y) then the new point would be (x,y - 2)
What would the new cordinates be if Q(2,1) R(4,-4) were reflected over the x axis and y axis what would the new points be?
When we reflect a point across the "x-axis" it's y-coordinate has to change siginals. Therefore the image of the point is:
\(A^{\prime}=(x,-y)\)Applying this to the points:
\(\begin{gathered} Q^{\prime}=(2,-1) \\ R^{\prime}=(4,4) \end{gathered}\)When we reflect a point across the "y-axis" its x-coordinate has to change signals.
The image of the points are:
\(\begin{gathered} Q^{\doubleprime}=(-2,1) \\ R^{\doubleprime}=(-4,-4) \end{gathered}\)