The collections of subsets are partition of the integer is: Partitions of a set are non-empty subsets that are mutually exclusive and their union is the original set.
1- The set of even integers and the set of odd integers form a partition of the set of integers because every integer is either even or odd, and no integer is both even and odd.
2- The set of positive integers and the set of negative integers do not form a partition of the set of integers since 0 belongs to neither set.
3- The sets of integers divisible by 3, leaving a remainder of 1 when divided by 3, and leaving a remainder of 2 when divided by 3, form a partition of the set of integers since every integer belongs to exactly one of these sets and they are mutually exclusive and their union is the set of integers.
4- The sets of integers less than -100, with absolute value not exceeding 100, and greater than 100 form a partition of the set of integers since every integer belongs to exactly one of these sets and they are mutually exclusive and their union is the set of integers.
5- The sets of integers not divisible by 3, even integers, and integers that leave a remainder of 3 when divided by 6 do not form a partition of the set of integers since some integers belong to more than one of these sets. For example, 6 belongs to both the set of even integers and the set of integers that leave a remainder of 3 when divided by 6.
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Emma also wonders how long it will take her balance of $300 to reach $450, assuming she doesn't make any payments
toward it. write the equation to represent the situation, and solve it using the inverse relationship between exponential
and logarithmic expressions.
type the correct response in the box. use numerals instead of words. round your answer to the nearest tenth.
Using an exponential equation, supposing a rate of 5%, it is found that it will take about 2.9 years for Emma's balance to reach $450.
An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which:
A(0) is the initial value.
r is the growth rate, as a decimal.
In this problem:
Her initial balance is of $300, hence . A(0)=300
The growth rate is of 15%, hence R =0.15
Then,
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = 300(1+0.15)^t\\A(t) = 300(1.5)^t\\[/tex]
It will reach $450 after t years, for which A(t) = 450, hence:
[tex]A(t) =300(1.15)^t\\450= 300(1.15)^t\\1.15^t=\frac{450}{300}\\\\1.15^t =1.5\\log(1.15)^t=log1.5\\t log 1.15 = log 1.5\\t = \frac{log1.5}{log1.15}\\\\ t =2.9[/tex]
It will take about 2.9 years for Emma's balance to reach $450
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Complete the following tasks for this equation: b/7.8= -2.15.
1. give an estimate for the solution. be sure to explain how you arrived at the estimate, either by showing an equation or in words.
2. solve the equation. show or explain your work.
3. compared to your estimate, is your answer reasonable? explain your answer in complete sentences.
Answer:
Step-by-step explanation:
Factors
A term in multiplication for an entire variety by which a bigger complete quantity may be dividedA divisor is an integer that evenly divides a range without leaving the restFactorization is the decomposition of an item right into a product of other objectsInteger factorization, the manner of breaking down a composite quantity into smaller non-trivial divisorsA coefficient, a multiplicative thing in an expression, usually more than a fewThe act of forming a component institution or quotient ring in summary algebraA von Neumann algebra, with a trivial centerFactor (graph principle), a spanning subgraphAny finite contiguous sub-sequence of a word in a group concept(b)/(7.8)=-2.15
Multiply each term in the equation by 7.8.
(b)/(7.8)*7.8=-2.15*7.8
Cancel the common factor of (1)/(7.8).
1b=-2.15*7.8
Multiply -2.15 by 7.8 to get -16.77.
1b=-16.77
Divide each term in the equation by 1.
(1b)/(1)=-(16.77)/(1)
Cancel the common factor of 1.
b=-(16.77)/(1)
Divide -16.77 by 1 to get -16.77.
b=-16.77
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Aaron is designing a party game in which he needs exactly 24 possible outcomes. which sets of actions can he use to have a statistically fair game?
If Aaron is designing a party game in which he needs exactly 24 possible outcomes, then he can use the following sets of actions to have a statistically fair game from the Statistics point of view,
Toss a coin twice, and then then roll a 6-sided number cube.
How can he play a statistically fair game to get exactly 24 outcomes?
The game has 24 alternative outcomes, as far as we know. The next step is to identify a series of activities that produces 24 distinct outcomes with equal probabilities.
The first of the alternatives is the only one with a sample space of 24 elements.
Flip two coins, then roll a D6.
The results of each coin toss are 2: (tails and heads).
There are 6 outcomes for the D6: (1, 2, 3, 4, 5, 6)
The combined outcomes of the two throws and rolling the number are then given by the product between the numbers of outcomes for each individual part, as solved below:
C = 2 × 2 × 6
C = 24
Thus, by tossing a coin twice, and then then rolling a 6-sided number cube, Aron can play a statistically fair game if h needs exactly 24 outcomes.
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The two-way table represents data from a survey asking teachers whether they teach English, math, or both.
The joint relative frequency is 21%.
What is the joint relative frequency?Joint relative frequency can be described as the ratio of the frequency of data in a certain category to the total number of data points in that category.
The joint relative frequency for teachers who teach math and not English = number of teachers who teach maths and not English / total number of teachers
(22 / 104) x 100 = 21%
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Given that B is the midpoint of the arc AC, find
(i) the length of BD,
(ii) the perimeter of the shaded region
(iii) the area of the shaded region.
Ans:
8.49
21.4
20.5
i. Line BD = 6√2 cm
ii. Perimeter = 3 (π + 4) cm
iii. Area = 18 ( π - 2) cm
How to determine the parametersLet the length of BD = x
Since B is the midpoint of the arc AC, then ∠BOC = 15°
In ΔBDB
Let's use the trigonometric ration, tan
[tex]Tan 45 = \frac{BD}{CD}[/tex]
CD = x
Then, using the Pythagorean theorem
[tex]x^2 + x^2 = 12^2[/tex]
[tex]2x^2 = 144[/tex]
[tex]x^2 = \frac{144}{2}[/tex]
[tex]x = \sqrt{72}[/tex]
[tex]x = \sqrt{36 *2}[/tex]
[tex]x = 6\sqrt{2}[/tex]
Thus, line BD is [tex]6\sqrt{2}[/tex] cm
ii. Perimeter = BC + BD + CD
= 2πr/8 + x + r - x
= π(12)/4 + r
= 3π + 12
= 3 ( π + 4) cm
iii. Area of shaded area = Area of BOC + Area of BOD
⇒ πr^2/8 × 1/2x^2
= π144/8 × 1/2(72)
= 18π - 36
= 18 ( π - 2) cm²
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Maggie has $9 less than does her brother Ron,
who has d dollars on Tuesday. If Ron gives
Maggie $6 on Wednesday, and she does not
spend any of her money, which of the following
is an expression for the amount of money, in
dollars, that Maggie has?
A) 2d + 6
B) 2d - 3
C) d + 15
D) d-3
The expression that shows the amount of money in dollars that Maggie has d - 3
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let d represent the amount of money Ron has on Tuesday. Hence:
Money Maggie has = d - 9 + 6 = d - 3
The expression that shows the amount of money in dollars that Maggie has d - 3
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can a pyramid be constructed from polygons alone
Which expression is equivalent to startroot 8 x superscript 7 baseline y superscript 8 baseline endroot? assume x greater-than-or-equal-to 0.
Expression which is equivalent to [tex]$\sqrt{8 x^{7} y^{8}}[/tex] is [tex]$=2 \sqrt{2} x^{3} y^{4} \sqrt{x}$[/tex].
What are equivalent expressions?
Expressions that function identically despite having distinct appearances are called equivalent expressions. If two algebraic expressions are equivalent, then when we enter the same value(s) for the variable, the two expressions have the same value (s).
Solution of the given equation [tex]$\sqrt{8 x^{7} y^{8}}[/tex].
[tex]$\sqrt{8 x^{7} y^{8}}=\sqrt{8} \sqrt{x^{7}} \sqrt{y^{8}}$[/tex]
[tex]$=\sqrt{8} \sqrt{x^{7}} \sqrt{y^{8}}$[/tex]
Simplify [tex]$\sqrt{x^{7}}: x^{3} \sqrt{x}$[/tex]
[tex]$=\sqrt{8} x^{3} \sqrt{x} \sqrt{y^{8}}$[/tex]
Simplify [tex]$\sqrt{y^{8}}: y^{4}$[/tex]
[tex]$=\sqrt{8} x^{3} \sqrt{x} y^{4}$[/tex]
[tex]$\sqrt{8}=2 \sqrt{2}$[/tex]
[tex]$=2 \sqrt{2} x^{3} \sqrt{x} y^{4}$[/tex]
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The complete question is :
Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0. x y squared StartRoot 8 x cubed EndRoot 2 x cubed y cubed StartRoot x y squared EndRoot 2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot 4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
Write the slope-intercept form of the equation that passes through the point (4,-6) and is parallel to the line y = -3/4x - 5
The equation that runs through the location (4,-6) has the slope-intercept form, [tex]y=-\frac{3}{4}x-3[/tex] .
Formation of the equationA line's equation written in the slope-intercept form:
y=mx+b
where m= slope & b= y-intercept
The slope of two parallel lines is equal.
Currently, we know the line's equation:
[tex]y=-\frac{3}{4} x-5[/tex]
here, slope, m= [tex]-\frac{3}{4}[/tex]
A line equation is created by adding the slope's value and the point's coordinates (4, -6):
[tex]-6=-\frac{3}{4}(4)+b[/tex]
⇒ -6=-3 +b [adding 3 to both sides]
⇒-3=b
⇒b= -3
Hence the solution is [tex]y=-\frac{3}{4}x-3[/tex] .
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if a =76 and b=287
what is( a+b/2)/a-bx2
The value of the given expression (a + b/2)/a - bx² = 219.5/(76 - 287x²).
What is an expression?An expression is the combination of variables, coefficients, and constants that are separated by an arithmetic operator(+, -, ...).
Calculation:The given expression is
(a + b/2)/a - bx²
It is given that a = 76 and b = 287
On substituting,
(a + b/2)/a - bx² = (76 + 287/2)/76 - 287x²
⇒ (76 + 143.5)/76 - 287x²
⇒ 219.5/(76 - 287x²)
Therefore, the given expression for the values a = 76 and b = 287 is 219.5/(76 - 287x²).
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bridget went fishing with her dad. Bridget caught the first fish of the day and it weighed f ounces. that day she caught four more fish one was 2 times the weight of the first fish another was 2 more than 3 times the weight of the first fish. next was 1/2 the weight of the first fish and the last was 3/5 the weight of the first fish. bridgets dad caught four fish. the first fish he caught weighed 2 more than 3 times the weight of the first fish that day one fish weighed 4/5 the weight of the first fish caught that day one weighed 4 more than 2 times the weight of the first fish cought that day and the last weighed 1/2 the weight of the first fish caught.
Assuming all the fishes caught by Bridget and her dad have the same total weight, then the first fish Bridget caught would weigh 5 ounces while the first fish caught by her dad weighed 17 ounces.
What is weight?Weight can be defined as the force acting on an object or a physical body due to the effect of gravity. Also, the weight of a physical object (body) is typically measured in Newton or ounces.
How to calculate the weight of the first fish?First of all, we would determine the weight of all of the fishes caught by both Bridget and her father (dad) while translating the word problem into an algebraic equation as follows:
For Bridget, we have:
Bridget's fish = f + 2f + 3f + 2 + ½f + ⅗f
Bridget's fish = 7 f/10 + 2 ......equation 1.
For her dad, we have:
Dad's fish = 3f + 2 + ⅘f + 2f + 4 + ½f
Dad's fish = 6 3f/10 + 6 ......equation 2.
Equating eqn. 1 and eqn. 2, we have:
7 f/10 + 2 = 6 3f/10 + 6
7 f/10 - 6 3f/10 = 6 - 2
8f/10 = 4
8f = 40
f = 40/8
Bridget, f = 5 fishes.
Since her dad's fish weighed 2 more than 3 times, we have:
Dad = 3f + 2
Dad = 3(5) + 2
Dad = 15 +2
Dad = 17 ounces.
In conclusion, the first fish Bridget caught would weigh 5 ounces while the first fish caught by her dad weighed 17 ounces assuming all the fishes caught by Bridget and her dad have the same total weight.
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Complete Question:
Bridget went fishing with her dad. Bridget caught the first fish of the day, and it weighed f ounces. That day, she caught four more fish. One was 2 times the weight of the first fish, another was 2 more than 3 times the weight of the first fish, the next was 1/2 the weight of the first fish, and the last was 3/5 the weight of the first fish. Bridget’s dad caught four fish. The first fish he caught weighed 2 more than 3 times the weight of the first fish caught that day. One fish weighed 4/5 the weight of the first fish caught that day, one weighed 4 more than 2 times the weight of the first fish caught that day, and the last weighed 1/2 the weight of the first fish caught that day.
If all the fish Bridget caught have the same total weight as all the fish her dad caught, then the first fish Bridget caught weighed___ ounces and the first fish her dad caught___ weighed ounces.
PLEASE HELP ME THIS IS MY LAST DAY TO GET THIS DONE!!!!! ILL MARK BRAINLY
The expression that is not a rational expression is:
[tex]\frac{(x + 3)(2x - 1)}{x + 3}[/tex]
What is a rational expression?A rational expression is an expression that has a variable in the denominator.
For expression [tex]\frac{(x + 3)(2x - 1)}{x + 3}[/tex], x + 3 is a common term to the numerator and denominator, hence it is simplified to 2x - 1 and is not a rational expression.
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The option that is not a rational expression is [tex]\frac{3x + 4\sqrt{x} -7}{2x+2}[/tex]
How to find rational expression?Rational expression are fraction whose numerator and denominator are polynomials.
In other words, rational expression is the ratio of two polynomials.
Therefore, an example of a ration expression is as follows:
[tex]\frac{x^{2}+9 }{x + 1}[/tex]
Therefore, the option that is not a rational expression is as follows;
[tex]\frac{3x + 4\sqrt{x} -7}{2x+2}[/tex]
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HELP?? A lunch combo has the following options: Entree: Hamburger, Hotdog, Chicken sandwich Side: Apples, Salad Drink: Milk, Water What is the sample size of these outcomes?
Using the Fundamental Counting Theorem, the sample size of these outcomes is of 12.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
Considering the number of options for Entree, Side and Drink, the parameters are:
n1 = 3, n2 = 2, n3 = 2.
Hence the sample size of outcomes is:
N = 3 x 2 x 2 = 12.
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A bag contains 1 white (W), 3 blue (B1, B2, B3), and 2 red (R1, R2) marbles. (4 points)
Use a tree diagram to list all the possible outcomes for tossing a coin and then drawing a marble from the bag. ( insert picture of it)
The possible outcomes are WH, BH, BH, BH, RH, RH, WL, BL, BL, BL, RL, RL
How to determine the possible outcomes?The given parameters are:
Coin = Head (H) and Tail (T)
Marble = W, B, B, B, R, R
See attachment for the tree diagram
From the tree diagram, we have the following possible outcomes
WH, BH, BH, BH, RH, RH, WL, BL, BL, BL, RL, RL
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Right angle triangle
8x - 21
3x-7
6x
Finds value of x
Step-by-step explanation:
Pythagoras :
c² = a² + b²
the only problem : we don't know which one of the 3 expressions is the longest side (= c = Hypotenuse).
let's try with 8x -21
(8x - 21)² = (3x - 7)² + (6x)²
64x² - 336x + 441 = 9x² - 42x + 49 + 36x²
19x² - 294x + 392 = 0
the general solution to such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 19
b = -294
c = 392
x = (294 ± sqrt(86436 - 4×19×392))/(2×19) =
= (294 ± sqrt(56644))/38 =
= (294 ± 238)/38
x1 = (294 + 238)/38 = 532/38 = 14
x2 = (294 - 238)/38 = 56/38 = 28/19 = 1.473684211...
I assume, we are looking for a whole number solution.
so, x = 14 is the solution.
Can someone help me with this question?
Step-by-step explanation:
Find lower quartile first: 1/4 (61)th term which equals to 15.25th term. Use your graph to estimate where 15.25 is and draw a line till it meets tne curve. As soon as it touch the curve, continue the line downward and you'll get LQ in kg. Secondly, find upper quartile: 3/4(61)th term which equals to 45.75th term. Proceed the same thing I mentioned above for lower quartile. Then the formula for interquartile range is upper quartile minus lower quartile and you'll get the answer in kg.
Write the algebraic expression for: the sum of a number and 5 decreased by twice the number.
The algebraic expression for: the sum of a number and 5 decreased by twice the number is (n + 5) - 2n
Algebralet
The unknown number = nsum of a number and 5
= n + 5
decreased by twice the number
= -2(n)
= - 2n
sum of a number and 5 decreased by twice the number
= (n + 5) - 2n
= n + 5 - 2n
= 5 - n
Therefore, the algebraic expression which can be used to represent; the sum of a number and 5 decreased by twice the number is (n + 5) - 2n
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What is the domain of the following set of ordered pairs?
{(-2,-5), (-3,8), (12,6), (8, -3), (4,0), (-5, -7)}
○ a. {-5, 8, 6, -3, 0, -7}
O b. {-2, -5, -3, 8, 12, 6}
○ c. {8, −3, 4, 0, − 5, −7}
O d. {-2, -3, 12, 8, 4, −5}
Answer:
D. {-2, -3, 12, 8, 4, −5}
Step-by-step explanation:
The domain is the set of x coordinates, so the answer is {-2, -3, 12, 8, 4, −5}.
not sure how to figure this out, help please
The second bus is traveling at a speed of 33.3 miles per hour.
Given that the speed of first bus is 60 miles per hour , distance between both the buses is 700 miles after 8 hour.
We are required to find the speed of second car which is heading towards south.
If first car is travelling at a speed of 60 miles per hour then the distance of first car after 8 hours is 60*8=480 miles.
We have been given that the distance between both the cars after 8 hours is 700 miles,So,
Distance of second car after 8 hours=700-480=220 miles.
We know that the speed is equal to distance divided by time.
We know that we have calculated distance after 8 hours so the speed of second car will be =20/6
=33.3 miles per hour
Hence the speed of second car which is heading towards south is 33.3 miles per hour.
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When rolling a single number cube, what are the odds, in simplest form, in favor of rolling a 2 or a 3?
A. 1:1
B. 1:2
C. 1:3
D. 1:5
Answer:
C
Step-by-step explanation:
There are 6 outcomes and you are seeking 2 of them.
2/6 or 1/3 1:3
Which of the following statements accurately describes the demographics of Arab and Muslim Americans
One accurate statement amount Arab Americans is that b. Arab Americans include both Muslims and Christians.
What is a fact about Arab Muslims?Arab Muslims are known to include both Muslims and Christians and indeed it is estimated that more Arab Americans are Christians as opposed to Muslims.
They are also quite urbanized and have very high rates of education which has given then access to more income.
Options for this question include:
a. Arab Americans are not urbanized.
b. Arab Americans include both Muslims and Christians.
c. Arab Americans rank relatively low in terms of income and occupation
d. Arab Americans tend to have low levels of education and skills.
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PLEASE HELP BEST ANSWER GETS BRIANLIST
Answer:
-3
Step-by-step explanation:
So just like the picture provides, the slope can be defined as: [tex]\frac{\text{change in y}}{\text{change in x}}[/tex]. So this means we can take any two points and find the change in x and y to define the slope, since the slope is constant throughout the entire line, since it's a linear line, meaning it's straight.
So you can use the points (0, 15) and (2, 9). So let's look at the x-values, and you want to make sure, you maintain the order at which you look at the "change in x", for example I can define the change in x through the two points as 0 to 2, or 2 to 0, one case is 2, and the other is -2, but if I look at the change from 0 to 2, then I looked at the first point first then the second, this means when looking at the y-values I have to find the change from 15 to 9, and not 9 to 15, since I did 0 to 2 in the first case. I could look at the change from 9 to 15, but only if I looked at the changed from 2 to 0.
Anyways let's find the change from 0 to 2, it's 2. Now let's look at the change from 15 to 9, it's -6 (since the value went down). So this gives us equation: -6 / 2 = -3
The slope is -3
Find the volume of the pyramid. Round to the nearest tenth if necessary.
Answer:
53.7
Step-by-step explanation:
The area of the rectangular base is 7(2.3)=16.1.
So, the total volume is (1/3)(16.1)(10), which is about 53.7
Solve the rational equation by multiplying both sides by the lcd. check your results for extraneous solutions. 3 x2 5x 6 x − 1 x 2 = 7 x 3 x = is a solution. x = is an extraneous solution.
The solution and extraneous solution of the equation as given are; x=7 and x=-2 respectively.
What is the solution of the equation?It follows that the equation given is;
(3/(x²+5x+6)) + ((x-1)/(x+2)) = 7/(x+3)
Hence, by multiplying both sides by (x²+5x+6); we have;
3 + x² +2x -3 = 7x + 14.
x²-5x -14 = 0
On this note, the solutions of the quadratic equation are; x =7 and x=-2.
It therefore follows that x= 7 is a solution while x=-2 is an extraneous solution because it renders (x-1)/(x+2) undefined.
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Answer:
x=7
x=-2
Step-by-step explanation:
Which of the following best explains the value of Sine StartFraction pi Over 3 EndFraction on the unit circle below
The terms that explains the value of Sin(pi/3) on the unit circle would be Sin(pi/3) = Opposite side of angle.
According to the statement
we have to give the terms which explain the sin (pi/3) perfectly.
And we have choose these terms from the these below written conditions like From Right Triangle, Hypotenuse, and unit circle.
And Now we explain all terms below
So,
"Right Triangle is a triangle whose one of the angle measures 90° "
And "The hypotenuse is a longest side of the right triangle.
And"Unit Circle is a circle with radius 1."
For given question,
We have been given a unit circle.
So, We need to find the sin (pi/3)
We know, in a right triangle for any angle , θ
Sinθ = Opposite side of angle / Hypotenuse
So, for , Sin(pi/3) = Opposite side of angle / 1
Sin(pi/3) = Opposite side of angle
Therefore, The terms that explains the value of Sin(pi/3) on the unit circle would be Sin(pi/3) = Opposite side of angle.
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Sun shades are sold in the shape of right isosceles triangles. if the equation represents one shade that shields 64 square feet of area, which system can be used to find the lengths of the legs of the sun shade?
The system of equations that can be used to find the lengths of the legs of the sun shade is given as follows:
y = 0.5x², y = 64.
How to obtain the system of equations?The system of equations is obtained considering the equation for the area of a right triangle, which is given by half the multiplication of the legs.
In this problem, we have an isosceles right triangle, meaning that both legs have the same measure.
The area of the right triangle is of 64 feet, hence the area is calculated as follows:
0.5x² = 64.
Thus the equations that compose the system are:
y = 0.5x².y = 64.Meaning that the second option is correct.
Missing InformationThe options are given by the image shown at the end of the answer.
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In ΔABC, BD is perpendicular to AC as shown in the figure.
Which equations are true?
Answer:
2nd, 3rd, and 6th option are correct
Step-by-step explanation:
using a²+b²=c² those are the obly that meet the criteria (im pretty sure)
In the given triangle equations AC² = AB² + BC², AB² = AD² + BD² and BC² = CD² + BD² are true.
What is a right angle triangle?
A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any angle is a right angle.
Given that,
ABC is a right angle triangle.
And BD is perpendicular to AC.
To show the equations which are true,
Use Pythagorean theorem,
(Hypotenuse)² = (base)² + (height)²
In triangle ABC,
AC² = AB² + BC²
In triangle ABD,
(AB)² = AD² + BD²
And in triangle BCD,
BC² = CD² + BD²
Therefore, option (2), (3) and (6) are correct.
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The mean of one set of five numbers is 13, and the mean of a separate set of six numbers is 24. What is the mean of the set of all eleven numbers
Answer:
((24+13)/28.5
Step-by-step explanation:
Jane takes out a loan for $100,000.00 over 10 years
and agrees to pay interest only at an annual rate of
8%. What will her monthly payment be?
$1799.10
Step-by-step explanation:Each year, the amount of money in the account is increased by 8%. This is the same as multiplying by 1.08 each year.
For 10 years, you multiply the original $100,000 by 1.08 a total of 10 times.
This tends to be simplified to:
[tex]100,000 * 1.08^{10}[/tex]
This gives $215892.4997.
This is paid back over 10 years, which is 10 x 12 months, or 120 months.
Divide the $215892.4997 by 120 to get the monthly payment of:
$1799.10 (round to 2 decimal places as it is a currency)
which of the following rational functions is graphed below?
The rational function represented in the given graph is; f(x) = 1/(x - 4)
How to Interpret Graph of Asymptotes Functions?From the given graph , the vertical asymptote is at x = 4
Let's find out the vertical asymptote of each function
To find out vertical asymptote we set the denominator = 0
A) x + 4 = 0
x = -4
This is not correct
B) 4x = 0
x = 0
Not correct
C) Denominator does not have a variable and so is also incorrect
D) x - 4 = 0
x = 4
Thus, this is correct
Read more about Asymptotes Function at; https://brainly.com/question/16995471
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