Answer:
AB-46 cm
Step-by-step explanation:
Use law of cosines
AB^2 = 24^2 + 26^2 - 2 (24)(26)cos 134
AB= 46 cm
Figure 3 of a tile pattern has 11 tiles, while figure 4 has 13 tiles The patter grows at a constant rate.
A write a equation to represent this situation
B which figure will contain 1015 tiles
Answer:
y = 2x + 5
Figure 505
Step-by-step explanation:
(3,11) ( 4,13)
Find the slope
Change in y over the change in x
[tex]\frac{13-11}{4-3}[/tex] = [tex]\frac{2}{1}[/tex] = 2
slope (m) is 2.
Part A
Find the y -intercept
m = 2
x = 3 from the point (3,11)
y = 11 from the point (3,11)
y = mx + b Substitute what I know and solve for b
11 = (2)(3) + b
11 = 6 + b Subtract 6 from both sides
11 - 6 = 6 -6 + b
5 = b
The y intercept (b) is 5
y = mx + b
y = 2x + 5
Part B
y = 2x + 5
1015 = 2x + 5 Subtract 5 from both sides
1015 - 5 = 2x + 5 - 5
1010 = 2x Divide both sides by 2
505
What is the inequality formula?
Inequality formula:
A < B or A > BThe inequality formula is a mathematical statement that compares two values using the less than (<) or greater than (>) symbols.
The inequality formulaThe inequality formula is used to determine if one value is greater than, less than, or equal to another value. It can be written in the form of A < B or A > B, with A and B representing any two values. This is useful for solving problems that involve comparison, such as determining whether a number is greater than another or if a certain value is within a certain range. The inequality formula can also be used to graph inequalities on a number line, which is useful for visualizing the relationships between two values.
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what are the coordinates of V’ in the image of TUV under a dilation centered at the origin with scale 5 followed by a translation 3 units right and 2 units down, given T(-1,-1), U (-1,2), and V(2,1)?
The coordinates of V’ in the image of TUV under a dilation centered at the origin with scale 5 followed by a translation 3 units right and 2 units down can be found by following the transformation sequence.
What are the coordinates of V’ in the image of TUV under a dilation centered at the origin with scale 5 followed by a translation 3 units right and 2 units down, given T(-1,-1), U (-1,2), and V(2,1)?The first transformation to be applied is the dilation with a scale of 5. This transformation enlarges the coordinates of the original points by a factor of 5. The coordinates of T, U, and V become (5(-1,-1)), (5(-1,2)), and (5(2,1)) respectively. The coordinates of the dilated points are (T’(-5,-5)), (U’(-5,10)), and (V’(10,5)).The next transformation to be applied is the translation 3 units right and 2 units down.This transformation adds 3 to the x-coordinate and subtracts 2 from the y-coordinate of each point. After the translation, the coordinates of T’, U’, and V’ become (T’(-2,-7)), (U’(-2,8)), and (V’(13,3)) respectively.Therefore, the coordinates of V’ in the image of TUV under a dilation centered at the origin with scale 5 followed by a translation 3 units right and 2 units down are (13,3).The coordinates of V' can be found by first applying the dilation with scale 5 to the original points, followed by a translation 3 units right and 2 units down. Using the coordinates of T, U, and V as starting points, the coordinates of the points after the dilation with scale 5 can be found. T(-1,-1) becomes (-5,-5), U(-1,2) becomes (-5,10), and V(2,1) becomes (10,5). Applying the translation of 3 units right and 2 units down to the new points, the coordinates of V' can be found. T(-5,-5) becomes (-2,-7), U(-5,10) becomes (-2,8), and V(10,5) becomes (13,3). Therefore, the coordinates of V' are (13,3).To learn more about a dilation and a translation refer to:
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A rectangular park is 80 meters long and 50 meters wide. Give the length and width of another rectangular park that has the same perimeter but a larger area.
Answer:
75 meters long 55 meters wide
Step-by-step explanation:
80*50= 4000
75*55=4125
4125<4000
75+55= 130
80+50=130
What is image in maths class 11?
An image may be defined as that point, where the light rays coming from an object meet or appears to meet after reflection or refraction.
In this definition, the word 'object' may be defined as anything from which light rays are coming.
A function f from a set A to a set B is a special relation in
which, every element of set A has unique image in set B.
The function f from A to B is denoted by f : A →
If, f(a) = b, then ‘b’ is called the image of ‘a’ under f and ‘a’
is called the pre image of ‘b’ under f.
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What is 2 3 as an exponent?
2 3 as an exponent is written as 2^3 and it represents 2 multiplied by itself 3 times. 2^3 = 2 * 2 * 2 = 8
In the notation 2^3, the number 2 is the base and the number 3 is the exponent. The exponent tells you how many times the base is being multiplied by itself. In this case, 2 is multiplied by itself 3 times.
It's important to note that the exponent is also known as the power, so 2^3 is also read as 2 to the power of 3.
In summary, 2 3 as an exponent is written as 2^3 and it represents 2 multiplied by itself 3 times, or 2 to the power of 3 which is equal to 8. Understanding this concept is important for solving mathematical problems, especially in algebra and calculus.
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I'm struggling here, i need help before my semester ends
Answer:
Below
Step-by-step explanation:
Cross multiply to get
[3x(x) + (x-2)(x+3) ] / [x(x+3)] <==== simplify
[4x^2 +x -6 ] / (x(x+3)) done.
ASAP PLEASE
Solve for x.
Enter your answer.
A rectangle with dimensions 12 meters and 5 times x meters, with diagonal length of 37 meters.
The value of x in the rectangle is 7 metres.
How to find the side of a rectangle?A rectangle is a quadrilateral with opposite sides equal to each other and also parallel to each other.
The rectangle has dimension 12 meters and 5 times x metres, with diagonal length of 37 metres.
Hence, the length x can be found using Pythagoras's theorem.
Therefore,
c² = a² + b²
where
c = hypotenusea and b are the other legsTherefore,
37² = 12² + (5x)²
1369 = 144 + 25x²
1369 - 144 = 25x²
1225 = 25x²
divide both sides by 25
x² = 1225 / 25
x² = 49
square both sides
x = √49
x = 7 metres
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Use the graph below to fill in the blank with the correct number:
f(1) = ________
The function's value at x = 1, y = - 1 Or f(1) = -1.
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.
The x-coordinate represents the input and the y-coordinate represents the output.
From the given points in the graph, we can conclude that when x = 1, y = -1.
Therefore, The value of the function f(1) = -1.
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HELPPPPPPPPPPPPPP
In Shawn's class, all the students have pets. Of those pets, 1/5 are cats. Of those cats, 2/3 are alley cats. What fraction of the pets are alley cats?
Answer: Would it just be 2/3? It says 2/3 are alley cats.
Step-by-step explanation:
Answer:
1/3 of them are alley cats
Step-by-step explanation:
Question 4 In the equation y=3x+5 , the number represents the slope and the number represents the y-intercept. Question 4 In the equation y=3x+5 , the number represents the slope and the number represents the y-intercept.
The slope and the y-intercept of the line are 3 and 5 respectively.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is the equation of a straight line → y = 3x + 5
The equation of the straight line given is -
y = 3x + 5
We can compare and conclude that -
m = 3
c = 5
Therefore, the slope and the y-intercept of the line are 3 and 5 respectively.
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What is a equivalent expression for 4x - 7y - 5z + 6 and -3x - 8y - 4 - 8/7z
The equivalent expressions for the expressions are
4x - 7y - 5z + 6 = 2(2x + 3) - 7y - 5z-3x - 8y - 4 - 8/7z = -3x - 4(2y - 1 - 2/7z)How to determine the equivalent expressionsFrom the question, we have the following parameters that can be used in our computation:
4x - 7y - 5z + 6 and -3x - 8y - 4 - 8/7z
Solving the first expression, we have
4x - 7y - 5z + 6
Rewrite as
4x + 6 - 7y - 5z
Factor out 2
2(2x + 3) - 7y - 5z
Solving the second expression, we have
-3x - 8y - 4 - 8/7z
Factor out 4
-3x - 4(2y - 1 - 2/7z)
Hence, the equivalent expression is -3x - 4(2y - 1 - 2/7z)
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Find the value of each variable in the following parallelogram
Answer:
a = 2
b = 7
Step-by-step explanation:
The given rectangle is a parallelogram.
WZ = XY10b + 1 = 9b + 8
Transfer like terms to the same side of the equation10b - 9b = 8 - 1
Add/Subtract like termsb = 7
2. WX = ZY
6a + 4 = a + 14
Transfer like terms to the same side of the equation6a - a = 14 - 4
Add/Subtract like terms5a = 10
Divide both sides by 5a = 2
How would the graph change if she already had $5 saved AND started saving $2.50 a week? Use the color blue
to represent this situation on the graph provided. Write the equation of the line represented in the graph.
Describe how the components of the equation represent the situation.
The linear function to model this problem is y = 2.50x + 5
What is Linear FunctionA linear function is a type of mathematical function that describes a straight line. A linear function is defined by an equation of the form:
y = mx + c
Where y is the dependent variable (the variable being measured or predicted), x is the independent variable (the variable being used to make the prediction or explanation), m is the slope of the line (the rate of change of y with respect to x), and c is the y-intercept (the value of y when x is zero).
The linear function to model this problem is given as;
y = 2.50x + 5
We can use a graphing calculator to represent this.
Kindly find the attached graph below
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What base value means?
There are some means for value. There are:
In mathematics and computing, a base value refers to the number of unique digits or symbols used in a numeral system.In other numeral systems, a different base value is used.In computer science, a base value is also used in the representation of data in different formats.BASE VALUEIn mathematics and computing, a base value refers to the number of unique digits or symbols used in a numeral system. For example, the most common base value used in everyday life is base 10, which uses the digits 0 through 9 to represent numbers. In this system, the number "42" represents the value 4 x 10¹ + 2 x 10⁰, or 42.In other numeral systems, a different base value is used. For example, in base 2, also known as binary, only the digits 0 and 1 are used. In this system, the number "1010" represents the value 1 x 2³ + 0 x 2² + 1 x 2¹ + 0 x 2⁰, or 10 in base 10.In computer science, a base value is also used in the representation of data in different formats. For example, in binary data, the base value is 2, while in hexadecimal data, the base value is 16. Understanding the base value and how to convert between numeral systems is important in computer science, as it helps in the understanding of how data is stored and processed by computers.Learn more about Base Value Explanation here:
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Which equation represents a linear function?
�
=
1
�
y=
x
1
�
=
2
�
−
−
3
y=2x−−3
�
=
5
�
3
+
8
y=5x
3
+8
�
=
�
2
+
2
�
+
1
y=x
2
+2x+1
Answer:
[tex]y = 2x - - 3[/tex]
That's the answer. Hope this helps
Please could you give me brainliest
What is the domain of f x 4 x +1?
The domain of f(x) = 4x + 1 is all real numbers.
The domain of a function is the set of all input values for which the function is defined. As the expression f(x) = 4x + 1 does not contain any restrictions on the values of x, the domain of this function is all real numbers.
The domain of a function is the set of all possible input values for which the function is defined. In this case, the function is f(x) = 4x + 1, which does not have any restrictions on the values of x, thus the domain of this function is all real numbers. This means that all real numbers are valid input values, including negative numbers, positive numbers, fractions, irrational numbers, and all other real numbers. This means that regardless of the input value, the output will always be a real number. Thus, the domain of this function is all real numbers.
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What is HJ? correct answer gets brainliest
For the given line segment, the value of HJ is 32 and hence option a is the correct answer.
What is a line segment?Two unique points on a line define the boundaries of a line segment. A line segment is sometimes referred to as a section of a line that links two places.
Given that:
GJ = 56
[tex]\frac{GH}{HJ} =\frac{3}{4}[/tex]
The line segment GHJ = GJ can be written as follows:
GJ= GH +HJ
From the given ratio we know that:
GH = 3x and
HJ = 4x
Thus, the value of GJ = 3x + 4x
GJ = 7x
56 = 7x
x = 8
Substitute the value of x = 8 in GH = 3x and HJ = 4x.
GH= (3)(8) = 24
HJ = (4)(8) = 32
Hence the value of HJ = 32 and option a is the correct answer.
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What is the area in square units of triangle def?
Triangle DEF is an isosceles triangle, with two sides of length 8 and one side of length 10.
We can use Heron's Formula to calculate the area of the triangle. Heron's Formula is A = √(s(s-a)(s-b)(s-c)), where s is the semiperimeter, or half of the perimeter, and a, b, and c are the lengths of the sides of the triangle.
The semiperimeter of triangle DEF is (8+8+10)/2 = 16. Substituting these values into Heron's formula yields A = √(16(16-8)(16-8)(16-10)) = √(256(8)(8)(6)) = √11520 = 107.3.
Therefore, the area of triangle DEF is 107.3 square units.
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(2x²-3x+1)-(-2x²-3x+2)
If the expression above is written in the form
ax²+bx+c, in which a, b, and c are constants,
what is the value of a+b+c?
in the form ax²+bx+c, in which a, b, and c are constants, the value of given quadratic equation a+b+c is 0.
What is simplification?Simplification is the process of making an expression or equation simpler, while still maintaining its meaning or function. This can be done by combining like terms, combining or removing unnecessary elements, or applying mathematical rules or identities.
For example, in algebra, simplifying an expression might involve combining the coefficients of similar terms (such as 2x + 3x = 5x), or factoring out a common factor from multiple terms (such as [tex]2x^2 + 4x = 2x(x+2).[/tex]
Simplifying an equation might involve isolating a variable on one side of the equation, or solving for the value of an unknown.Simplifying a fraction might involve finding a common denominator and canceling out common factors in the numerator and denominator.Simplifying a square root might involve expressing it in simplest radical form.The goal of simplification is to make the expression or equation easier to understand, manipulate, or solve.
The expression given is already in the form ax^(2) + bx + c, so we can simply add the coefficients of the x^(2), x and constant terms to find the value of a+b+c:
[tex](2x^{(2)} -3x+1)-(-2x^{(2)}-3x+2) = 2x^{(2)} - (-2x^{(2)}) + (-3x) - (-3x) + 1 - 2[/tex]
a+b+c = 2 - (-2) + (-3) - (-3) + 1 - 2 = 2 + 2 - 3 - 3 + 1 - 2 = 0
Therefore, the value of a+b+c is 0.
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The assets and liabilities of a salesperson are listed below.
Home Value $264,500
Retirement Portfolio $473,906
Credit Card Balances $58,236
Bank Loan $35,275
Mortgage $187,632
Car Value $22,750
Investments $139,664
Home Furnishings $23,100
What is the value of the liquid assets?
$139,664
$264,500
$473,906
$613,570
The value of the liquid assets of the salesperson is; D: $613,570
How to find the Liquid asset?Liquid assets are defined as a set of property or investment that can be converted easily into cash. These liquid assets include raw cash, fast selling and marketable securities that can be traded and converted into cash within a short time.
Hence the liquid assets of the person, along with their values, are listed as follows:
The returns from someone's retirement portfolio will supplement your Social Security benefits, and it can even prevent you from having to live squarely on a fixed income. Due to the fact that a retirement portfolio is diversified, it can protect you from market volatility by balancing different income classes. Retirement Portfolio in this question is given as $473,906 (It is called the Retirement fund)
Investments = $139,664
The total value of the person's liquid assets is given by the sum of the values of each of these two assets, hence:
473,906 + 139664 = $613,570
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Find the missing values
Answer:
x = 5 ft
Step-by-step explanation:
Volume of a right square pyramid = V = x²h/3
66.7 = x²(8/3)
x² = 66.7(3/8) = 25
x = √25 = 5
Find the range for the measure of the third side of a triangle when the measures of the other two sides are 6 ft and 19 ft.
The range of possibilities for the third side of the triangle, after using the triangle inequality theorem is 13 < n < 25.
According to the theorem of triangle inequality, the sum of any two of a triangle's sides must exceed the length of the third side. When we know the lengths of two sides, x and y, we can apply the triangle inequality theorem to estimate the length of the third side, which will be between x + y and x - y.
As a result,
x – y < n < x + y
19 – 6 < n < 19 + 6
13 ft < n < 25 ft
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A tring i placed on the outide of a clock going clockwie from 12to 9. The clock ha a radiu of 6 inche. What i the length of the tring
The length of the string is 37.7 inches string is placed on the outside of a clock going clockwise from 12 to 9.
To calculate the length of the string, first, start with the fact that the circumference of a circle is equal to pi multiplied by the diameter. The diameter of the clock is 12 inches, so then the circumference is 12π or 37.7 inches.
Since the string is going around the outside of the circle, the length of the string is equal to the circumference which is 37.7 inches. To get this answer, take the radius (6 inches) of the clock and double it to get the diameter (12 inches).
Multiply the diameter by pi (3.14) to get the circumference (37.7 inches) and then the length of the string is the same as the circumference.
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Correct question.
A string is placed on the outside of a clock going clockwise from 12 to 9. The clock has a radius of 6 inches. What is the length of the string?
which is the proper way to enter the following piece wise function into Desmos
The proper way to enter the piece-wise function into Desmos is given as follows:
y = 5x - 1 {x < -2}.y = x - 4 {x ≥ -2}.What is a piecewise function?A piecewise function is a function that has different definitions, based on the input of the function.
The definitions for this problem are given as follows:
Left of x = -2.Right of x = -2.The correct command to enter an interval in Desmos is between {}, hence the intervals are given as follows:
Left of x = -2 -> {x < -2}.Right of x = -2 -> {x ≥ -2}.The definitions of f(x) are entered using y = f(x), hence the correct option is given by the second option.
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Determine the solution sets of the system of equations using the Gaussian Elimination method?
x-3y+z=4
2x-8y+8z=-2
-6x+3y-15z=9
Therefore , the solution of the given problem of equation comes out to be x = 73/19 , y = 5/19 and z = 18/19.
Equation: What is it?In a mathematical formula, the equal symbol (=) is used to denote that the statements are equivalent. It is demonstrated that many numerical variables are comparable using mathematical equations, which are statements of reality. The equal sign, for instance, separates the numbers 12 or b + 6 split separate halves of the equation y + 6 = 12. It is possible to calculate how many words each sides of a symbol represents. The meaning of a symbol usually contradicts itself.
Here,
Given :
=> x-3y+z=4....... (1)
=>2x-8y+8z=-2 ........ (2)
=> -6x+3y-15z=9 ......... (3)
Multiply eq (1) by 2 and subtract from eq (2)
=> 2x - 6y + 2z -2x +8y +8z = 8 +2
=> 2y +10z =10
=> y + 5z =5 ..... (4)
and
Multiply eq (2) by 3 and add to eq (3)
=> 6x - 24y +24z -6x + 3y -15z =-6 +9
=> -21y + 9z = 3
=> -7y + 3z =1 ..... (5)
So ,
from eq (4) and (5)
=> y = 5 -5z
=> -7(5-5z) + 3z = 1
=> -35 + 35z + 3z =1
=> 38z = 36
=> z = 36/38
=> z = 18/19
and
=> y = 5 - 5 (18/19)
=> y = 95 -90/19
=> y = 5/19
and
=> x = 4 -z +3y
=> x = 4 - 18/19 +15/19
=> x = 76 -3 /19
=> x = 73/19
Therefore , the solution of the given problem of equation comes out to be x = 73/19 , y = 5/19 and z = 18/19.
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In training for a triathlon, Yuna wam 1. 9 mile in the open ocean, which took her 2 hour. For the firt part of her wim, he averaged 1. 4 mile per hour. For the econd part of her wim, he wam againt the current and tarted to tire, o her average peed decreaed to 0. 8 mph
Yuna wam 1.9 miles in the open ocean in two hours, starting off with an average speed of 1.4 mph but decreasing to 0.8 mph. This resulted in a total distance of 2.8 miles.
To calculate Yuna's total distance wimmed, we need to calculate the total time it took her to wim. She wam 1.9 miles in 2 hours, so her average peed for the entire wim wa 1.4 mph.
1.4 mph x 2 hours = 2.8 miles
Therefore, Yuna wam a total of 2.8 miles.
Yuna trained for a triathlon and wam 1.9 miles in the open ocean, which took her two hours. She started off with an average speed of 1.4 mph, but as she got tired and wam against the current her average speed decreased to 0.8 mph. In order to calculate the total distance wimmed, we need to calculate the total time it took her which can be done by multiplying her average speed of 1.4 mph by the two hours. This gives us a total distance of 2.8 miles, which means that Yuna wam a total of 2.8 miles.
Yuna wam 1.9 miles in the open ocean in two hours, starting off with an average speed of 1.4 mph but decreasing to 0.8 mph. This resulted in a total distance of 2.8 miles.
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Find the decimal form of
5/18.
Answer:
0.28
Step-by-step explanation:5 (numerator) ÷ 18 (denominator) = 0.28
Answer: 0.28
Step-by-step explanation:
You look it up
Can a triangle be formed having the length of sides 2cm 3cm & 5cm justify it?
Can a triangle be formed having the length of sides 2cm 3cm & 5cm.Therefore, this triangle is not possible.
Can 2cm 5cm and 3cm make a triangle?In a triangle, the sum of the lengths of either two sides is always greater than the third side. Given that, the sides of the triangle are 2 cm, 3 cm, 5 cm. Hence, this triangle is not possible.When the two legs of an isosceles right triangle are congruent to one another and the non-right angles are both 45 degrees, the triangle is known as a 45 45 90 triangle. When the two legs of an isosceles right triangle are congruent to one another and the non-right angles are both 45 degrees, the triangle is known as a 45 45 90 triangle. The Pythagorean theorem can frequently be used to locate the missing legs or hypotenuse of 45 45 90 triangles. The sides' to the hypotenuse's ratio.To learn more about triangle refer to:
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A medical school student opens a credit card to pay for living expenses during their first year of medical school. The student expects to pay $12,500 in living expenses. The credit card company charges an annual interest rate of 15.99% compounded
continuously. I no payments are made for three years, what will be the balance on the card rounded to the nearest penny?
O$20,194.87
$20.129.60
O$18.406.25
O$14.667.42
The balance on the credit card after three years would be $20,111.25.
What is continuous compound interest?
Continuous compounding means that there is no limit to how often interest can compound. Compounding continuously can occur an infinite number of times, meaning a balance is earning interest at all times.
The balance on the credit card after three years can be calculated using the formula for continuous compound interest:
A = P * e^(rt)
where A is the final balance, P is the initial principle (the amount of the loan), r is the annual interest rate as a decimal, and t is the number of years.
In this case, P = $12,500, r = 0.1599 (15.99% as a decimal), and t = 3.
Plugging these values into the formula:
A = $12,500 * e^(0.1599 * 3)
A = $12,500 * e^0.4797
A = $12,500 * 1.6089
A = $20,111.25
Rounded to the nearest penny: $20,111.25
Hence, the balance on the credit card after three years would be $20,111.25.
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