Answers
The axis of symmetry is x = 5 and five points are drawn in the graph.
The given equation is
y = x² - 10x + 24
Write the equation as
y = x² - 2(5)x + 2² - 2²+ 24
⇒ y = (x-5)² - 1
Since we know that for graph
y = a(x-a)² + h vertex is (h, k)
so vertex of graph y be (5 , -1)
Now after plotting of graph we have
Axis of symmetry be x = 5
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Related Questions
Given that x= 5.7 m and
θ = 47°, work out BC rounded to 3 SF.
Answers
Step-by-step explanation:
For a RIGHT triangle such as this :
Sin Φ = opposite leg / hypotenuse
sin (47) = AB/5.7
5.7 sin (47) = AB = 4.17 m
The human body contains many glands, including the pituitary, thymus, and thyroid. The table below shows the functions of two of these glands.
Function
1. Associated with the immune system and is largest in size during teenage years
2. Produces hormones which are required for growth and various body functions
Which of the following matches correctly the names of the glands with their functions?
Pituitary—Function 1; Thyroid—Function 2
Thyroid—Function 1; Thymus—Function 2
Thymus—Function 1; Pituitary—Function 2
Pituitary—Function 1; Thymus—Function 2
Answers
Thymus—Function 1; Pituitary—Function 2 is the correct to depict the function of the glands, thymus is associated with the immune system, hence option C is correct.
Thymus associated with the immune system, it reaches its peak size during adolescence.
The pituitary produces hormones needed for different bodily activities, including development.
The pituitary gland is known as the "master gland" because it uses hormones to monitor and control a variety of body functions. Growth and sexual development is the function of this gland.
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Amelia is going to invest $47,000 and leave it in an account for 5 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Amelia to end up with $64,000?
Answers
The interest rate required in order for Amelia to end up with $64,000 assuming the interest is compounded continuously is 6.2%.
Given that,
Amelia is going to invest $47,000 and leave it in an account for 5 years.
Principal amount, P = $47,000
Time, t = 5 years
Final amount, A = $64,000
Interest is compounded continuously.
Final amount, A, can be calculated as,
A = P e^(rt)
64,000 = 47,000 e^(5r)
e^(5r) = 1.3617
Taking natural logarithms on both sides,
5r = ㏑ (1.3617)
r = 0.0617 ≈ 6.2%
Hence the interest rate is 6.2%.
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Select the correct answer. A circle is described by the equation x2 + y2 + 14x + 2y + 14 = 0. What are the coordinates for the center of the circle and the length of the radius? A. (-7, -1), 36 units B. (7, 1), 36 units C. (7, 1), 6 units D. (-7, -1), 6 units
Answers
The center of the circle is (-7, -1) and the radius is the square root of 36, which is 6. So, correct option is D.
To find the center and radius of a circle given by its equation in the form of (x-a)² + (y-b)² = r², we need to convert the given equation to this standard form by completing the square for both x and y terms.
x² + y² + 14x + 2y + 14 = 0
(x² + 14x) + (y² + 2y) = -14
(x² + 14x + 49) + (y² + 2y + 1) = -14 + 49 + 1 // add and subtract the square of half the coefficient of x and y terms respectively
(x + 7)² + (y + 1)² = 36
Comparing with the standard form (x-a)² + (y-b)² = r², we can see that the center of the circle is (-7, -1) and the radius is the square root of 36, which is 6.
Therefore, the correct answer is option D, (-7, -1), 6 units.
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Amanda's office has 40 employees.
The employees want to have a catered
dinner. They have found a company
that will provide what they need for $25
per person. Amanda knows that some
people will bring a guest. The company
has budgeted $1500 for this event. How
many guests can they invite? Assume the
price of $25 includes all taxes.
Write an equation for this problem.
Answers
Answer:
[tex]25x+1000=1500[/tex] which means [tex]x=20[/tex] guests
Step-by-step explanation:
The initial 40 employees cost 40*25 = $1000
So, we can set up the equation:
[tex]25x + 1000=1500[/tex] where x is the number of guests.
This means [tex]25x=500[/tex].
[tex]x=20[/tex]
The square shown is dilated by a factor of 2. What is the area, in square units, of the dilated square?
Answers
Answer:
18
Step-by-step explanation:
To solve this problem, you could either do this two ways: solve for x immediately and then multiply it by 2, or you could multiply the equation by two and solve for x.
I will be using the first option.
Step 1: Solve for x
[tex]-2x+7=-4x+11\\\\[/tex] - We can set these equal to each other because a square has all sides congruent, which means that this side and all the others are equal to each other
[tex]-2x+2x+7=-4x+2x+11\\\\7=-2x+11[/tex]- We add 2x to both sides so we can isolate all the variables on one side and all the constants on one
[tex]7-11=-2x+11-11\\\\-4=-2x[/tex]- We do this so all the constants are on one side
[tex]\frac{-4}{-2}=\frac{-2x}{-2} \\\\2=x[/tex]- We divide by the coefficient of x so that we can fully isolate it
So now we have what x is, so we have to reinsert x into the equations and multiply it by itself to find the original area, after that we multiply it by 2.
[tex]-2x+7\\\\-2(2)+7\\\\-4+7\\\\3*3=9\\\\9*2=18[/tex]
HELP ASAP I WILL MARK BRAINLIEST IF CORRECT
Answers
Answer:
First problem:
Area of shaded region:
(1/6)π(9^2) - (1/2)(9)(4.5√3) = 7.4 m^2
Second problem:
Area of shaded region:
(1/3)π(6^2) - 2(1/2)(3)(3√3) = 22.1 cm^2
In the number 437. 981, what is the place value of the 3?
Answers
The place value of 3 in this number be ten.
What is place values?Place value is the basis of our entire number system. This is the system in which the position of a digit in a number determines its value.
The number 42,316 is different from 61,432 because the digits are in different positions.
What is number system?A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner. It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures.
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9 + n = -2?
A. -11 B. -7 C. 2 D. 7
Answers
Answer: Answer is A. -11
Step-by-step explanation:
Try doing all the numbers ( The answer choices) minus 9.
-11 - 9 = -2
The diameter of Earth is about 7,920 miles. A satellite orbits 200 miles above Earth’s surface. Calculate the circumference of Earth and the distance the satellite travels in one orbit around Earth.
Answers
Circumference = π x Diameter
where π (Pi) is a mathematical constant approximately equal to 3.14.
Circumference = 3.14 x 7,920 miles
Circumference = 24,876.8 miles
So the circumference of Earth is approximately 24,876.8 miles.
The distance traveled by the satellite during one orbit around Earth is equal to the circumference of the orbit, which is the sum of the distance traveled horizontally (the circumference of Earth) and the distance traveled vertically (the altitude of the satellite).
The altitude of the satellite is given as 200 miles, so the radius of the orbit is 7,920 + 200 = 8,120 miles. The circumference of the orbit can be calculated using the formula:
Circumference of orbit = 2 x π x radius
Circumference of orbit = 2 x 3.14 x 8,120 miles
Circumference of orbit = 51,139.2 miles
So the distance traveled by the satellite during one orbit around Earth is approximately 51,139.2 miles.
7,920 × 3.14 = 24,868.8, not the answer above. How is this right?
how the value of x is applied ?
justify your answer
Answers
a state accounting process in brief
Graph the inequality y is greater than or equal to one third times x plus one.
The graph shows a solid line that passes through negative 3 comma 0 and 0 comma 1, with shading above the line.
The graph shows a solid line that passes through negative 3 comma 0 and 0 comma 1, with shading below the line.
The graph shows a dashed line that passes through negative 3 comma 0 and 0 comma 1, with shading above the line.
The graph shows a dashed line that passes through negative 3 comma 0 and 0 comma 1, with shading below the line.
Answers
Answer:
Step-by-step explanation:
The inequality y ≥ (1/3)x + 1 represents all the points that lie on or above the line y = (1/3)x + 1.
To graph this line, we can first plot the y-intercept at (0, 1). From there, we can use the slope of (1/3) to find additional points on the line.
For example, if we move one unit to the right (x = 1), we would move up one-third units (y = 1 + 1/3), giving us the point (1, 4/3). Similarly, if we move two units to the right (x = 2), we would move up two-thirds units (y = 1 + 2/3), giving us the point (2, 5/3).
To indicate that the inequality includes points on the line, we use a solid line.
Finally, to determine which region to shade, we can test a point not on the line. For example, the point (0, 0) is below the line, so we shade the region above the line.
Therefore, the correct answer is: The graph shows a solid line that passes through negative 3 comma 0 and 0 comma 1, with shading above the line.
You will turn in the results of this activity for your assessment for this lesson.
Create a wrapping paper design that includes at least four of the following constructions:
a bisected angle
a perpendicular line drawn from a point not on a line to a line
a perpendicular line drawn through a given point on a given line
a quadrilateral with at least one pair of parallel lines
a segment bisected by a perpendicular line
two congruent angles
two congruent segments
two parallel lines, one of which is drawn through a given point
Your design should be8 and one-half inches by 11 inches (the size of a standard sheet of computer paper).
Number each element and create a key that names each element in your design. For example: Element 1: Two congruent segments. If several elements are combined in one figure, then number each element in that figure and describe each element on the key.
Create instructions, in your own words, describing how to create each element using only a compass and a straightedge.
Give your key and your instructions to a friend and see if they can recreate your wrapping paper design. If she can’t, then revise your key and instructions so that there is no room for confusion.
You will turn in the following:
a key describing each element
a wrapping paper design with the elements numbered
instructions for creating each element, written in your own words
Answers
The wrapping paper design could consist of a repeating pattern of quadrilaterals with at least one pair of parallel lines.
How to explain the quadrilateralInside each quadrilateral, there could be two congruent angles and two congruent segments. The segments could be bisected by perpendicular lines, creating a bisected angle within the quadrilateral.
In addition, there could be perpendicular lines drawn from a point not on a line to a line and perpendicular lines drawn through given points on given lines. These lines could intersect with the quadrilaterals in various ways, creating a dynamic and visually interesting design.
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Questions from Page 47 in Dale Seymour Publications' Developing Skills in Algebra Book B (adding all of this info in case someone needs to keyword it at some point)
3.] The length of one rectangle is 7 m more than the width. The width of a smaller rectangle is 4 m less than and the length is 3m more than the width of the larger rectangle. The difference in the areas of the two rectangles is 108 m^2. Find the length of the smaller rectangle.
5.] A rectangular swimming pool with uniform depth is 12 ft wider than twice the depth and 10 ft longer than five times the depth. The volume of the pool is 5640 ft^3 less than the sum of ten times the cube of the depth and eight times the product of the length and width. Find the length of the pool.
6.] The longer base of a trapezoid is 12 cm more than the height, and the shorter base is 6 cm less than the longer base. The area of the trapezoid is 167 cm^2 less than the product of the bases. Find the height of the trapezoid.
7.] The width of a rectangular gravel pit is 1 m less than 4 times its depth, and the length is 3 m more than 16 times the depth. The volume is 45 m^3 less than the difference between 64 times the cube of the depth and 4 times the square of the depth. Find the length of the gravel pit.
Answers
For the 5th question, the length of the pool based on the information given will be 70ft.
How to calculate the lengthThe length of the pool can be described by the equation: length = 5x + 10, while the width of the pool can be portrayed through the equation: width = 2x + 12.
After weighing out the rationale for both sides of the expression, simplify it down to: x^3 + 12x^2 - 528x - 564 = 0. This can be broken up with synthetic division or a calculator and a possible solution to this problem is x = 12.
Further compounding the two equations, length = 70 ft and width = 36 ft emerge; presenting length being 70 ft and width claimed at 36 ft.
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reflected over y-axis, x-axis, or neither
1. B (-3,-7) B' (-7,-3)
2. D (5,-8) D' (5,8)
3. F (10,0) F' (-10,0)
pls hurry
Answers
Answer:
1. neither
2. x axis
3. y axis
Step-by-step explanation:
1. Neither
2. reflection over the x -axis
3. reflection over the y -axis
Explanation
The rule for a reflection over the x -axis is (x,y)→(x,−y)
The rule for a reflection over the y -axis is (x,y)→(−x,y)
1. B (-3,-7) B' (-7,-3) neither, this does not fit either rule
2. D (5,-8) D' (5,8) the y changes from -8 to + 8 so reflection over the x -axis
3. F (10,0) F' (-10,0) the x changes from +10 to -10 so reflection over the y -axis
Convert 0.009m to milli meters
Answers
Answer:
0.009 meters is equal to 9 millimeters.
A processing machine crushes 31__
4
kilograms of dried fruits in 3__
4
minute. What is the rate, in kilograms per minute, at which the machine crushes dried fruits?
A. 3___
13
B. 16___
39
C. 2___
7
16
D. 4__
1
3
Answers
The rate at which the machine crushes dry fruit is option (D) 4 1/3 kilograms per minute.
To find the rate at which the machine crushes dry fruit, we need to divide the amount of fruit crushed by the time taken. We can convert the mixed number of 3 1/4 kilograms to an improper fraction as follows
3 1/4 = (3 x 4 + 1)/4 = 13/4
So the rate at which the machine crushes dry fruit is
rate = amount of fruit crushed / time taken
= (13/4) / (3/4)
= 13/4 x 4/3
= 13/3
Convert to mixed fraction
= 4 1/3
Therefore, the correct option is (D) 4 1/3
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The given question is incomplete, the complete question is:
A processing machine crushes 3 1/4 kilograms of dry fruits in 3/4 minute. What is the rate, in kilograms per minute, at which the machine crushes dry fruit? A. 3/13 B. 16/39 C. 2 7/16 D. 4 1/3
PLEASE HELP!!!!
Complete the frequency table:
Method of Travel to School
Walk/Bike | Bus | Car | Row totals
Under age 15 | 0 | 0| 18| 165
Age 15 and above | 65 | 0 | 0| 195
Column totals | 152 | 110 | 98 |360
What percentage of students age 15 and above travel to school by bus? Round to the nearest whole percent.
A. 36%
B. 26%
C. 45%
D. 50%
Answers
Walk/Bike | Bus | Car | Row totals
---|---|---|---
65 | 0 | 0 | 195
The table tells us that 0 students age 15 and above travel to school by bus, out of a total of 195 students in that age group. To find the percentage, we can use the formula:
percentage = (part/whole) x 100
where "part" is the number of students age 15 and above who travel to school by bus, and "whole" is the total number of students age 15 and above.
So, the percentage of students age 15 and above who travel to school by bus is:
(0/195) x 100 = 0%
Rounding to the nearest whole percent, the answer is (A) 0%, since there are no students age 15 and above who travel to school by bus according to the table.
What is the approximate circumference of a circle that has a radius of 90? Use 3.14 for π and express your answer to the tenths place. fill in the blank
__
Answers
Answer:
565.2
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi * r
C = 2 * (3.14) * 90
C =565.2
Answer:
565.2
Step-by-step explanation:
Given,
Radius ( r ) = 90
π = 3.14
To find : Circumference of a circle
Formula
Circumference of a circle = 2πr
Circumference of a circle
= 2 x 3.14 x 90
= 6.28 x 90
= 565.2
Jenise wants to find out if the students at her school
would support using money to buy new band uniforms.
Which survey will result in a random sample?
A. She asks each student on her bus.
B. She asks all brand members in the school.
C. She picks every fourth student that leaves the school on
Tuesday.
D. She picks 75 names at random, sends emails, and records
those that return.
Answers
If Jenise wants to find out if the students at her school would support using money to buy new band uniforms, the survey that will result in a random sample is D. She picks 75 names at random, sends emails, and records those that return.
What is a random sample?A random sample is a sample that gives each unit in the population an equal chance of participation or being selected.
A random sample involves selecting a subset of the population. The result of the sample survey is generalized on the population to each some conclusions about the population parameters.
Thus, the correct option is D because it involves a random selection.
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Uh whats 5 plus 2
i forgot
Answers
Answer: 7
Step-by-step explanation:
Solution: 7
need answer now please
Answers
The expression which are equals to 6⁻¹⁰ are as follow,
option A. (1 /6² )⁵ , Option b. 6⁻³ / 6⁷ , Option ( 6⁻⁵ )².
The expression is equal to,
6⁻¹⁰
Simplify all the given options to find the equivalent expression to 6⁻¹⁰.
(1 /6² )⁵
Apply law of exponent here,
= ( 1 / 6¹⁰)
= 6⁻¹⁰
Option A. is correct answer.
6⁻³ / 6⁷
Apply law of exponent we get,
= 6⁻³⁻⁷
= 6⁻¹⁰
Option B. is correct answer.
( 6⁵ × 6⁻³ )/ 6⁻⁸
= 6⁵⁻³⁺⁸
= 6¹⁰
It is not the correct answer.
( 6⁻⁵ )²
Apply law of exponent here
= 6⁻¹⁰
Option D. is the correct answer.
6⁻⁵ × 6²
= 6⁻³
It is not correct option.
Therefore, the expression equivalent to the given expression are option A. (1 /6² )⁵ , Option b. 6⁻³ / 6⁷ , Option ( 6⁻⁵ )².
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because each of n bits of a number x must be multiplied by each of n bits of a number y, the best big-o bound that any algorithm that multiplies two n-bit numbers can achieve is O(n+n)-O(n^2)
a. true
b. false
Answers
False. The best big-o bound that any algorithm that multiplies two n-bit numbers can achieve is O(n^2), not O(n+n) or O(2n).
An algorithm is a set of instructions or a procedure for solving a problem or performing a task. In computer science, an algorithm is typically a step-by-step process for solving a problem or performing a computation. Algorithms can be expressed in various forms, such as natural language, pseudocode, flowcharts, or programming languages. They are used in a wide range of applications, from simple arithmetic operations to complex data processing and artificial intelligence. The efficiency and correctness of an algorithm depend on various factors such as the input size, the data structure, and the computational complexity of individual operations.
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Because each of n bits of a number x must be multiplied by each of n bits of a number y, the best big-o bound that any algorithm that multiplies two n-bit numbers can achieve is O(n+n)-O(n^2
While it is true that each of n bits of a number x must be multiplied by each of n bits of a number y, it is possible to achieve a better big-o bound than O(n+n) or O(2n). The best-known algorithm for multiplying two n-bit numbers, the Karatsuba algorithm, achieves a big-o bound of O(n^log2(3)), which is faster than O(n^2).
Therefore, the statement that the best big-o bound that any algorithm that multiplies two n-bit numbers can achieve is O(n+n) or O(n^2) is false.
Main answer: b. false
The given statement implies that the best big-O bound for multiplying two n-bit numbers is O(n+n)-O(n^2), which simplifies to O(2n)-O(n^2) or simply O(n^2). However, this is not the best bound achievable for multiplying two n-bit numbers. The best known algorithm, the Karatsuba algorithm, has a time complexity of O(n^log2(3)), which is approximately O(n^1.585). This is faster than O(n^2) and thus, the statement is false.
The best big-O bound that any algorithm that multiplies two n-bit numbers can achieve is not O(n^2), but rather O(n^log2(3)), as demonstrated by the Karatsuba algorithm. Therefore, the given statement is false.
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The point B lies on the segment AC.
Find the coordinates of B so that AB is 5/9 of AC
Answers
The coordinates of B so that AB is 5/9 of AC is (51/14, -10/7).
What is a coordinate?Coordinates are a pair of numbers which are used to determine the position of a point or a shape in a 2-dimensional plane.
To calculate the coordinates of B (x,y), so that AB is 5/9 of AC, we use the formula below
Formula:
For y coordinate = (my₂+ny₁)/(m+n)................... Equation 1Ferom the question,
Given:
m = 5n = 9y₁ = 5y₂ = -13Substitute these value into equation 1
y = [5(-13)+9(5)]/(9+5)y = -20/14y = -10/7Similarly for coordinate x we use the formula below
x = (mx₂+nx₁)/(m+n)............. Equation 2Where:
x₁ = -6x₂ = 21Substitute into equation 2
x = [5(21)+9(-6)]/(5+9)x = 51/14Hence, the coordinates of B is (51/14, -10/7).
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Kara's teacher divides her class of 20 students into 4 equally sized teams: the red team, the yellow team, the green team, and the blue team. She assigns each student to a team. What is the probability that Kara is on the red team?
Answers
The probability of Kara is on the red team among all four equally sized team is given by 0.03%.
Total number of students in class = 20
Number of equally sized team = 4
Since there are 4 equally sized teams and 20 students,
There are 20/4 = 5 students on each team.
Since each student is equally likely to be assigned to any of the four teams.
The probability of Kara being on the red team is ,
= Ratio of number of ways she can be assigned to red team to total number of possible assignments.
The number of ways Kara can be assigned to the red team is 5 since there are 5 students on the red team.
Total number of possible assignments is the number of ways to choose 5 students out of 20.
= ²⁰C₅
= 20! / (5! × 15!)
= 15,504
The probability that Kara is on the red team is,
⇒ P(Kara is on the red team) = 5/15,504
⇒ P(Kara is on the red team) ≈ 0.0003225
⇒ P(Kara is on the red team) ≈ 0.03%.
Therefore, the probability of the Kara is on the red team is equal to 0.03%.
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Please solve this as soon as possible!
Answers
The values of the trigonometric identities are;
sin θ = 4/5 = 0. 800
cos θ = 3/5 = 0. 600
tan θ = 4/3 = 1. 333
How to determine the valuesThere are six trigonometric identities;
sinecosinetangentcotangentsecant cosecantFor the secant identity, we have the ratio;
sec θ = hypotenuse/adjacent
Then, using the Pythagorean theorem, we have the the square of the hypotenuse is equal to the sum of the squares of the other two sides, then
5² = 3² + x²
x² = 25 - 9
x²= 16
find square root
x = 4
For the value of sin θ
sin θ = 4/5 = 0. 8000
For cosine ratio
cos θ = 3/5 = 0. 6000
for tangent ratio
tan θ = 4/3 = 1. 333
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At a high school football game, Mike bought 4 soft pretzels and 4 bottles of water for $15. Ling bought 3 soft pretzels and 2 bottles of water for $10. What is the cost of each item?
Answers
If Mike bought 4 "soft-pretzels" and 4 bottles of water for $15, Ling purchased 3 "soft-pretzels" and 2 bottles of water for $10, the each "soft-pretzels" cost $2.5 and each "water-bottle" cost 1.25.
Let the cost of a "soft-pretzel" be = $x and
Let the cost of a bottle of water be = $y,
We know that, Mike purchased 4 "soft-pretzels" and 4 bottles of water for $15,
Ling purchased 3 "soft-pretzels" and 2 bottles of water for $10,
So, the equations are :
⇒ 4x + 4y = 15 ...(1)
⇒ 3x + 2y = 10 ...(2)
We solve this by using substitution method:
Solving equation (2),
We get,
⇒ 3x + 2y = 10,
⇒ x = (10 - 2y)/3,
Now we substitute this expression for "x" in equation(1),
⇒ 4x + 4y = 15,
⇒ 4[(10 - 2y)/3] + 4y = 15,
⇒ y = 5/4,
Substituting this "y" into equation(2),
We get,
⇒ 3x + 2y = 10,
⇒ 3x + 2(5/4) = 10,
⇒ x = 5/2 = 2.5,
Therefore, cost of a soft pretzel is $2.5 and cost of a bottle of water is $1.25.
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The transformation from green triangle to red triangle can be described as "a 9 unit slide to the right." It can also be written mathematically as `\left(x,\ y\right)`--> `\left(x+9,\ y\right)`. (Note: I used the minus sign twice and a greater than to make an arrow. Describe in words and in symbols the transformation from green triangle to blue triangle.
Answers
The transformation from green triangle to blue triangle is translation moved down by 6 units.
Given that,
Vertices of green triangle are (-3, 9), (-5, 4) and (2, 6)
Vertices of blue triangle are (-3, 3), (-5, -2) and (2, 0)
We can see that, x-coordinates of all the ordered pairs are same.
y-coordinates of all the ordered pairs are changed that is
(9-3)=6, (4-(-2))=6 and (6-0)=6
So, the triangles are slide down by 6 units.
Mathematically it is represented as (x, y-6)
Therefore, the transformation from green triangle to blue triangle is translation moved down by 6 units.
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An actor invested some money at 9% simple interest, and $49,000 more than three times the amount at 10%. The total annual interest earned from the investment was $38,440. How much did he invest at each amount?
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An actor invested some money at 9% simple interest, and $49,000 more than three times the amount at 10%. The total annual interest earned from the investment was $38,440. Then, the actor invested $307,000 at 10% simple interest.
Let's use the following variables to represent the amounts invested;
x; amount invested at 9% simple interest
3x + 49000: amount invested at 10% simple interest (as it is $49,000 more than three times the amount invested at 9%)
We know that the total annual interest earned from the investment was $38,440, so we can set up the following equation;
0.09x + 0.1(3x + 49000)
= 38440
Simplifying and solving for x, we get;
0.09x + 0.3x + 4900 = 38440
0.39x = 33540
x = 86000
So the actor invested $86,000 at 9% simple interest. Using this value, we can calculate the amount invested at 10%;
3x + 49000 = 3(86000) + 49000
= 307000
Therefore, the actor invested $307,000 amount.
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If a < 0 and b > 0, then the point (a, b) is in Quadrant...
A. I
B. II
C. III
D. IV
Answers
Answer:
The point (a, b) would be in Quadrant III, where both the x-coordinate and y-coordinate are negative.
