If her monthly payment is P3,000 and interest is compounded semi-annually at 9%, the cost of the TV set comes to P17,545.08.
What is compound interest?Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
It occurs when interest is reinvested, or added to the loaned capital rather than paid out, or when the borrower is required to pay it, so that interest is generated the next period on the principal amount plus any accumulated interest.
In finance and economics, compound interest is common.
In contrast to simple interest, which does not compound since past interest is not added to the principal for the current period, compound interest allows interest to build over time.
The interest per period multiplied by the number of periods in a year yields the simple annual interest rate.
According to our question-
9% = 0.09 / 2
=0.045 + 1 =1.045^(1/6)
=1.00736312 - 1 x 12 x 100
=8.836%
PV=0;
PMT=3000;
R=0.08836/12; N=6; PV
=PMT*(((1 + R)^N - 1)*((1 + R)^-N)* R^-1)
PV==17,545.08
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Solve the following equation by first writing the equation in the form a x squared = c: t squared minus 49 = 0 a. t = 49 b. t = plus-or-minus 49 c. t = 7 d. t = plus-or-minus 7 Please select the best answer from the choices provided A B C D
The best answer is t = 7. Option C
What is a quadratic equation?A quadratic equation is simply defined as an equation that could be rearranged in standard form.
It is also described as an algebraic equation having the highest exponent of as 2.
It is so arranged such that;
x represents an unknown valueVariables, a, b, and c represent known numbersAlso, a is not equal to 0, a ≠ 0It is important to note that the three methods of solving quadratic equation are;
FactorizationUsing the quadratic formulaUsing completing the square methodFrom the information given, we have that the form is;
x² = c
Given t squared minus 49 = 0
First, represent mathematically
t² - 49 = 0
Now, collect like terms, we have;
t² = 49
Take square root of both sides
t = √49
t = 7
Hence, the equation is t = 7
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Evie practices her violin for exactly
310 minutes each week. On Monday, she
practices twice as long as she does on
Tuesday. On Thursday, she practices the
same number of minutes as Tuesday. On
Saturday, she practices 5 fewer minutes
than three times her Tuesday practice.
How many minutes does Evie practice on
Monday?
On Monday, Evie practices 2T = 2*45 = 90 minutes.
Define percentage.A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Define Fraction.Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
Let's call the amount of time Evie practices on Tuesday T.
On Monday, she practices twice as long as she does on Tuesday, so she practices 2T minutes.
On Thursday, she practices the same number of minutes as Tuesday, so she practices T minutes.
On Saturday, she practices 5 fewer minutes than three times her Tuesday practice, so she practices 3T-5 minutes.
We know that Evie practices 310 minutes in total in a week.
So we can set up an equation:
T + 2T + T + 3T-5 = 310
7T-5 = 310
7T = 315
T = 45
On Monday, Evie practices 2T = 2*45 = 90 minutes.
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How do you find the domain for the composition of two functions FG?
All x-values that are within the scope of both f and g make up the domain of the (f g)(x). In this instance, f has a domain of {"x | x ≥ 0"} and g has a domain of "all real numbers"; as a result, (f - g)(x) has a domain of {"x | x ≥ 0"} as these values of x fall inside both f and g's domains.
What is domain?A function's domain is the collection of all potential inputs. All x-values, or inputs, and all y-values, or outputs, make up a function's domain and range, respectively. When viewing a graph, the domain consists of all of the graph's values from left to right. The graph's whole range, from the bottom to the top, is the range.
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2. Gravetter/Wallnau/Forzano, Essentials - Chapter 4 - End-of-chapter question 2
What is the range for the following set of scores? (You may have more than one answer. )
6, 12, 9, 17, 11, 4, 14
The range for the following set of scores: 6, 12, 9, 17, 11, 4, and 14 is 13.
In statistics, the range is a measure of dispersion that describes the difference between the largest and smallest values in a dataset. The range is used to describe the spread of a dataset and can be a simple way to identify outliers or unusually large or small values. It is a simple measure of statistical dispersion and is most useful for interval and ratio data.
It is calculated by subtracting the minimum value from the maximum value among the data set.
range = maximum value - minimum value
Plug in the necessary values and solve for the range.
range = 17 - 4
range = 13
Therefore, the range for the following set of scores is 13.
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What does 2 equivalents mean in chemistry?
An equivalent is the amount of a substance that reacts with an arbitrary amount of another substance in a given chemical reaction.
Arbitrary
It is a relative unit of measurement to show the ratio of amount of substance, intensity, or other quantities, to a predetermined reference measurement.
chemical reaction
chemical reaction is a process in which one or more substances, the reactants, are converted to one or more different substances, the products. Substances are either chemical elements or compounds.
Examples of chemical changes include baking soda and vinegar creating carbon dioxide, iron rusting, and wood burning.
There are five types of general chemical reactions: Combination or synthesis, decomposition, single displacement, double displacement, and combustion.
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Lloyd's Llamas has $3,241.77 in liabilities and $12,457.12 in owner's equity. If the accounting equation is in balance, Lloyd's has $_______ in assets.
The number of asset is 15.698.89
How to calculate the number of asset ?
Assets = liabilities + equity
liabilities= 3,241.77
equity= 12,457.12
Assets= 3,241.77 + 12,457.12
= 15.698.89
Hence Lloyd has 15.698.89 number of assets
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What is the value of the discriminant of the given equation 2x^2 4x 3?
The discriminant of the given quadratic equation 2x² - 4x + 3 = 0 is -8.
The standard form of quadratic equation is ax² + bx + c = 0
Compare the given equation with its standard form
a = 2, b = -4, c = 3
We know that
D = b² - 4ac
Substitute the values in the formula
D = (-4)² - 4(2)(3)
⇒ D = 16 - 24
⇒ D = -8
Since D < 0
Therefore, the given equation has no real roots.
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•40 POINTS• don’t explain.
Answer:
ASA-------------------------
We can see two angles marked as same, one of them is a right angle.
The included vertical side is common to both triangles so is a congruent side.
Since we have congruence of two angles and the included side, it is Angle-Side-Angle or ASA.
In triangle JKL, tan(bº) = 3/4
and sin(bº) = 3/5. If triangle JKL is dilated by a scale factor of 3, what is cos(bº)?
bº
If triangle JKL is dilated by a scale factor of 3,cos(bº)=4/5.
Define trigonometric ratio.Trigonometric By definition, ratios are the values of all trigonometric functions based on the right-angled triangle's side ratio. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.
Why trigonometric identities are used?If you know the lengths of two of the triangle's sides, you can use trigonometric ratios to get the measurements of one (or both) of the acute angles.
tan(b)=P/B=3/4
sin(b)=P/H=3/5
cos(b)=B/H= To find
B=4, H=5
cos(b)=4/5
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A hurricane blows onto the East Coast of the United States on September 16, 2017. The maximum sustained wind speed is 176 kilometers (109 miles) per hour and the sea level height is pushed 2.3 meters (7.5 feet) above normal. What category is this hurricane
This hurricane would be classified as a Category 2 hurricane on the Saffir-Simpson Hurricane Wind Scale.
What hurricane classification is this?This hurricane would be classified as a Category 3 hurricane. The Saffir-Simpson Hurricane Wind Scale is used to classify hurricanes based on their maximum sustained wind speeds.Category 3 hurricanes have wind speeds between 178 and 209 kilometers (111 and 130 miles) per hour.The maximum sustained wind speed of this hurricane is 176 kilometers (109 miles) per hour, which is below the threshold for Category 4 hurricanes, but still within the range of Category 3 hurricanes. The storm surge is also a major factor in the classification of hurricanes. Storm surges are caused by the winds of a hurricane pushing the water of the ocean up onto the coast.This hurricane has a storm surge of 2.3 meters (7.5 feet).The Saffir-Simpson Hurricane Wind Scale does not take into account the height of storm surges. Therefore, this hurricane would be classified as a Category 3 hurricane due to its maximum sustained wind speed of 176 kilometers (109 miles) per hour and the storm surge of 2.3 meters (7.5 feet).The Saffir-Simpson Hurricane Wind Scale is a useful tool for measuring the severity of a hurricane and can help to prepare people in its path.To learn more about the Saffir-Simpson Hurricane Wind Scale refer to:
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How do you find the domain and range of a graph in Algebra 2?
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Now, According to the question:
How do you find the domain?
Let y = f(x) be a function with an independent variable x and a dependent variable y. If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.
How do you find the range?
The range is calculated by subtracting the lowest value from the highest value.
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PLEASE SOMEONE HELPPPPP
Simplify (36)18
O a
Ob
Oc
Od
33
312
324
3108
Answer:
d. 3^108
Step-by-step explanation:
Just multiply 6 and 18.
Find the measure of angle F
What is 3 8 equivalent to as a fraction?
Answer:
6/16
Step-by-step explanation:
Answer:
Step-by-step explanation:
15/40 i think
Kara Paid 24.64$ to ship 11 packages. Each package has the same size and weight. How much did it cost to ship 1 package?
Answer:
2.24$
Step-by-step explanation:
At an archeological site, the remains of two ancient step pyramids are congruent . If ABCD cong EFGH find each of the following . (Diagrams are to scale. )
The measurements are found using congruency.
What does congruency mean?
Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.
It is given that ABCD ≅ EFGH :
According to congruency,
22. AD = EH, so AD = 335 ft.
23. GH= CD, so GH = 45ft.
24. m∠GHE = m∠CDA, so m∠GHE= 52°
25. m∠BAD= m∠FEH, so m∠BAD= 52°
26. EF= AB, so EF= 45ft
27. BC= FG, so BC= 280ft
28. m∠DCB= m∠HGF, so m∠DCB= 128°
29. m∠EFG= m∠ABC, so m∠EFG= 128°
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If you take a number of times by four then subtract one you get the same is it you took the number standby shift then organise what is the number
The unknown number deduced by solving the equation 4x - 1 = 6x +9 is -5.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
Let the unknown number be x.
First multiply the number by 4 = 4x
Then subtract 1 from it = 4x -1
This results in the same number as when the number is multiplied by 6 and 9 is added to it = 6x + 9.
So the equation will be -
4x - 1 = 6x +9
4x - 6x = 9 + 1
-2x = 10
-x = 10/2
x = -5
Therefore, the number obtained is -5.
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If you take a number, times by 4 then subtract 1. You get the same as if you took the number, times by 6 then add 9. What is the number?
Question 1 Use right triangle XYZ to complete the following parts. Question What is the length of XY in AXYZ? Type the correct answer in the box. Use numerals instead of words. XY = units
XY = 6 units is the length of XY in AXYZ .
What is a right-angle triangle, exactly?
A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The combined angles of the other two are 90 degrees.
Perpendicular and the triangle's base make up the sides that the right angle is formed from. The hypotenuse, or third side, is the longest of the three. It is also known as the hypotenuse.
using the sine ratio in the right triangle and the exact value
sin30° = 1/2, then
sin30° = XY/XZ = XY/12 = 1/2 ( cross - multiply)
2XY = 12 ( divide both sides by 2 )
XY = 6
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The complete question is -
Use right triangle XYZ to complete the following parts.
Part A
12
XY =
30°
? Question
What is the length of XY in AXYZ?
Type the correct answer in the box. Use numerals instead of words.
units
Solve by factorising:
x^2+10x+21=0
Answer:
[tex]x = -7\\x = -3[/tex]
Step-by-step explanation:
The steps are in the image attached to this response.
What do you get when you subtract 3xy from 5 by?
When we subtract 3xy from 5 we will get 3xy - 5.Both are different 3xy is a polynomial in xy and 5 is a constant we can not simplify further.
First, let's try to learn subtraction in the case of polynomials.
3xy is a polynomial.
5 is a constant.
Polynomials can be subtracted using a method that involves changing the signs to the opposite sign. The process resembles adding polynomials. Depending on the specific equation, we transform the sign while subtracting polynomials to either positive or negative. Learn more about subtracting polynomials, their techniques, procedures, and examples by reading on.
For instance, subtract 5x + 8y - 20z from 4x - 10y + 15z.
The polynomials should first be arranged in standard form. In this illustration, it has already been set up.
Place them horizontally in step two.
(4x - 10y + 15z) - (5x + 8y - 20z)
Step 3: By using parenthesis, modify the second polynomial's sign.
4x-10y-15z, and 5x+8y 20z
Step 4: Group terms that are similar together.
4x - 5x - 10y - 8y + 15z + 20z
Step 5: Resolve the problem
-x - 18y + 35z
As a result, we get -x - 18y + 35z when we subtract 4x - 10y + 15z from 5x + 8y - 20z.
In the same way, if we subtract 3xy from 5 we will get 3xy - 5.
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The drama club put on the play, “The wizard of Oz.” There were student tickets and adult tickets. There were 150 tickets sold to the play. Student tickets cost $3 per ticket, and adult tickets cost $5 per ticket. If the total sales were $580, how many student tickets and how many adult tickets were sold to the play? Use system of equations to solve.
On solving the provided question, we can say that - by the help of the unitary method 150* 3 = $450
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
so, we have
There were = 150 tickets sold to the play
Student tickets cost $3 per ticket
so, total will be = 150* 3 = $450
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what is the rate of decay f(x)=(.8)^x
9th grade AP algebra
The provided function, f(x)=(.8)^x, has a 20% rate of decay.
What is the Rate of decay or growth?
A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay.
given, a function f(x)=(.8)^x. To calculate the decay rate of this function.
The exponential decay formula aids in determining the exponential drop, which is a rapid reduction over time. To calculate population decay, half-life, radioactivity decay, and other phenomena, one uses the exponential decay formula. F(x) = a (1 - r)x is the general form.
Where
a = the initial amount
1-r is the decay factor
x = time span
from the given expression,
Decay factor = 0.8
That is also equal to 1 - r
1 - r = 0.8
r =0.2
Thus, rate of decay = r * 100%
rate of decay = 0.2 * 100 = 20%
therefore, The rate of the of the given function f(x)=(.8)^x is 20%.
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1. Find the radian measures that correspond to the degree measures 330° and 135°
Answer:
Converting from degrees to radians is actually very simple, it is a one step unit conversion.All we need to know to solve this is that (π)radians=(180)degrees Therefore 135degrees⋅(π)radians180degrees=(135180)π radians =3π4 radians
Step-by-step explanation:
hope this helps
Find the volume of the given solid.
Bounded by the coordinate planes and the plane
6x + 7y + z = 42
The volume of the given solid is equal to the triple integral of 1 over the region bounded by the coordinate planes and the plane 6x + 7y + z = 42. This can be written as:
[tex]$\iiint 1\, dV = \iiint 1\, dx\, dy\, dz$[/tex]
The region of integration is bounded by the coordinate planes x = 0, y = 0, and z = 0, and the plane 6x + 7y + z = 42. This is a right triangular prism with vertices (0,0,0), (6,0,0), and (0,6,42). To calculate the volume, we will use the triple integral in cylindrical coordinates, which can be written as:
[tex]$\iiint 1\, dV = \int0^{2\pi}\int0^6\int_0^{42/7} r\, dz\, dr\, d\theta$[/tex]
The volume of the given solid is given by:
[tex]$\frac{504\pi}{7}$[/tex]
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What property of multiplication is 5x1 5 1x5 5?
The property used in this is the commutative law of multiplication.
What is the commutative law of multiplication?
In mathematics, commutative law refers to either of two rules relating to the addition and multiplication of numbers that are expressed symbolically as a + b = b + a and ab = ba. These principles imply that rearranging the terms or factors of any finite sum or product has no effect on it.
Here, we have
Given: 5x1 = 5 = 1x5
We have to find which property of multiplication is applied here.
5x1 = 5
1x5 = 5
We concluded from the given statement that the commutative law of multiplication is applied here.
commutative law of multiplication: ab = ba
Hence, the property used in this is the commutative law of multiplication.
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45 PTS (find:m<3) don’t explain.
Answer:
142
Step-by-step explanation:
38+x = 180
x = 142
The scale on a map of Florida is 2 inches = 50 miles. What is the distance in miles
represented by a length on the map of 7 inches?
The distance in miles represented by a length on the map of 7 inches is 0.28
What is scale factor?The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.
Given;
The scale of a map says that 2 inches represents 50 miles.
2 inches = 50 miles
1 Mile = 2/50 inches
Hence, 7 Mile = 7 * 2/50 inches
7 Mile = 14/50 inches
7 Mile = 0.28 inches
Therefore, the scale factor of 7miles in the map will be 0.28inches
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Can you solve this problem for me please
The required scale factor that Amir will use to go from Polygon F to G is 1/9.
What is the scale factor?The scale factor is defined as the ratio of the modified change in length to the original length.
here,
Area of polygon F = 36 square units
Area of polygon G = 4 square units
Now,
The scale factor to go from polygon F to polygon G is given as,
SF = Area of polygon G / Area of polygon F
SF= 4/36
SF = 1/9
Thus, the required scale factor that Amir will use to go from F to G is 1/9.
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How can I do math fast?
To do Maths fast follow the steps:
Read attentively, comprehend, and specify the category of the issue.Draw a diagram of your issue.Create a plan to resolve it.Resolve the issue.What is Maths ?Mathematical subjects include quantities and their changes, forms and the spaces in which they are contained, formulae and associated structures, and numbers.
The scientific study of numbers, forms, and their meanings is known as mathematics. The majority of individuals use maths every day to measure and count. Geometry, algebra, and calculus are all forms of mathematics; nonetheless, they are typically referred to as single.
There are many ways to solve math problems, but a three-step technique is a streamlined approach that may assist anybody in solving even the most challenging issue.
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an elargemnet or expansion occurs when the absolute value of the scale factor is less than one true or false
Yes the statement is true.
What are scale factors in Dilation?An object is enlarged if the scale factor is greater than 1. An object is reduced if the scale factor is a fraction, less than 1. A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The description of a dilation includes the scale factor (constant of dilation) and the center of the dilation. The center of a dilation is a fixed point in the plane about which all points are expanded or contracted. The center is the only invariant (not changing) point under a dilation (k ≠1), and may be located inside, outside, or on a figure.
Given here Absolute value of the scale factor is greater than 1
∴ The object is enlarged if the scale factor is greater than 1.
Hence, Yes the statement is true.
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