Yes she made a wise decision as she will get an amount of 4500 after 5 years which is better than getting 4000 after 5 years.
Given that ,
Let us assume that the person takes the amount 3000 from the college, and invests it on a annual rate of 10% for a period of 5 years,
means,
Principal amount = 3000
Rate of Interest = 10%=0.1
Time = 5 years
What Is the Future Value Simple Interest ?The future value simple interest formula is the addition of the principal amount that we have in the beginning and the interest earned on that principal amount after the completion of the period. The Future Value Simple Interest Formula is given as,
F V = P + I or F V = P(1 + rt)
Here,
P is the principal amount,
I is the interest,
r is the rate, and
t is the time.
So, We know that
Simple Interest = Principal amount * Rate of Interest * Time
Simple Interest = 3000*0.1*5
Simple Interest = 1500
So, The person will have a Future value of
Principal amount + Simple Interest
= 3000+1500
=4500
Therefore, If the person invests after 5 years will get a amount of 4500 in return which is a wise decision than not investing and getting a amount of 4000 .
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which value is a solutions of 7/4x^2 -2 = 0.5 x+4
Answer:
x= 2 x= -1 5/7
Step-by-step explanation:
I believe this is the answer I used a math site.
I need help on my homework it's hard
Answer:
3913
Step-by-step explanation:
Step:1 setup
set up your multiplication problem like this
91
43
X_______
Step:2 Multiply 1 x 3=3 Put 3 below the line and 0 as a reminder on top:
0
91
43
x_______
3
Step 3:Multiply
3 x 9 = 27. Take 27 and add 0 from the previous step to get 27 Enter 27 the bottom:
91
43
X
----------
273
step 4:Add 0 Enter a 0 at the bottom right as a place holder,because you now move over one digit:
91
43
X
_______
273
+ 0
Step 5: Multiply
4 x 1 = 4. Put 4 below the line and 0 as a reminder on top:
0
91
43
x
________
273
+ 40
Step 6:Multiply
4 x 9 = 36 and add 0 from the previous step to get 36. Enter 36 at the bottom:
91
43
x
__________
273
+ 3640
Step 7: Add to get answer
Add up the bottom two numbers (273 + 3640 = 3913 to get the answer:
91
x 43
_________
273
+ 3640
____________
= 3913
Witch is the equation of the given line?x = -3x = 3y = -3 y = -3x
y=-3
1) Since the graph shows us a horizontal line, where any value of x corresponds to y=-3
(2, -3), (3,-3) etc..
2) Then we have a constant function. y=-3
Answer:
y = - 3
Step-by-step explanation:
the line is horizontal and parallel to the x- axis with equation
y = c ( c is the value of the y- coordinates the line passes through.
the line passes through (- 4, - 3 ) and (2, - 3 ) both with y- coordinate - 3 , so
y = - 3 ← equation of line
Please help me in your own words I only have 30 minutes
1) given
2) corresponding angle theorem
3) vertical angle theorem
4) transitive
given a function f (x), what transformation(s) take place in the graph of -f (x + 4)?
Given a function f(x), the transformation(s) that take place in the graph of -f(x + 4) are; Shifting the function by 4 units to the left and reflection about the horizontal axis.
What is the transformation of the function?We are told that a function f(x) undergoes transformation to get -f(x + 4).
Now, when it comes to transformation, moving the function by say c units to the right simply means subtracting c units from x. However, moving the function by c units to the left simply means adding c units to x.
Now, when we transform f(x) to f(-x), it simply means a reflection about the vertical axis. Whereas, when we transform f(x) to -f(x), it simply means a reflection about the horizontal axis.
Thus, the transformation of f(x) to -f(x + 4) is simply shifting the function by 4 units to the left and reflection about the horizontal axis.
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you are in a car race. during a 10 second pit stop, the other cars gain 1/4 mile on you. how much would the other cars gain on you during a 1 min pit stop.
When the pit stop duration is one minute other cars will gain 3/2 miles
Time duration of a pit stop during the car race = 10 seconds
The distance gained by other cars = 1/4 mile
Pit stop: During a race, a racing car makes a pit stop to get fuel, fresh tires, repairs, mechanical adjustments, a new driver, or any combination of the aforementioned. The pits typically consist of a row of garages where the work is done outside and a pit lane that runs parallel to the start/finish straight and is connected to the main track at each end.
When the duration is one minute or 60 seconds, then the distance gained by other cars will be:
Distance gained by other cars in 10 seconds*6 = 1/4*6 = 3/2 miles
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1) If g(x) is a linear function, g(-2) = 6 and g(2) = 18, what is the rate of change? Is this function increasing or decreasing? Show your work!
Answers:
Rate of change = 3
The function is increasing
===================================================
Explanation:
The notation g(-2) = 6 means the input x = -2 leads to the output y = 6. Therefore, the point (-2,6) is on f(x). The other point given is (2,18).
For linear functions, the terms "rate of change" and "slope" are the same thing.
Let's use the slope formula on the two points (-2,6) and (2,18)
[tex](x_1,y_1) = (-2,6) \text{ and } (x_2,y_2) = (2,18)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{18 - 6}{2 - (-2)}\\\\m = \frac{18 - 6}{2 + 2}\\\\m = \frac{12}{4}\\\\m = 3\\\\[/tex]
The slope is 3, which can be written as 3/1
A slope of 3/1 means we go up 3 and to the right 1.
slope = rise/run = 3/1
rise = 3 = go up 3
run = 1 = go to the right 1
Since the slope is positive, this means the line is going uphill as we move to the right. In other words, the function is increasing.
Help please basic geometry
From the diagram in the image below, it can not be assumed that A C D is a right angle. Option A
This is further explained below.
What is a triangle's right angle?Generally, In a triangle, a right triangle, also known as a right-angled triangle, an orthogonal triangle, or what was previously known as a rectangle triangle, is a triangle in which either one of the triangle's angles is a right angle or two of the sides are perpendicular to one another.
The relationship between the sides of a right triangle and the other angles provides the foundation for the study of trigonometry.
In conclusion, It is not possible to deduce from the diagram in the figure below that the angle ACD are right angles. Alternative A
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The functions f and g are defined as follows.
g(x) = 4x+2
f(x)=3x²-3x
Find f(-5) and g(-4).
Simplify your answers as much as possible.
The value of functions f(-5) and g(-4) are 90 and -14 respectively.
What are functions and how to evaluate them?An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable.In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.Finding the value of f(x) =... or y =... that corresponds to a certain value of x is what it means to evaluate a function. To accomplish this, merely swap whatever value has been set to x into each of the x variables.Given functions are:
g(x) = 4x+2
f(x) = 3x²-3x
We have to find f(-5) and g(-4).
f(x) = 3x²-3x, here in the function we replace the x variables with the value given.
f(-5) = 3x²-3x
= 3(-5)² - 3(-5)
= 75 + 15 = 90
g(x) = 4x+2
g(-4) = 4×(-4) + 2
= -16 + 2 = -14
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please help asap Evaluate the numerical expression open parentheses 2 to the power of 3 close parentheses to the power of one half.
4
cube root of 4
square root of 8
square root of 128
Answer:
C) square root of 8=====================
Given expressionOpen parentheses 2 to the power of 3 close parentheses to the power of one half.Convert it to math language and simplify[tex](2^3)^{\frac{1}{2} =[/tex] Expression as described[tex](8)^{\frac{1}{2} =[/tex] Cube of 2 is 8[tex]\sqrt{8}[/tex] Different form of square rootCorrect choice is C
Which of the following is a binomial in y
(1) y² + √2
1
(2) y + +2
y
(3) √5 + √2y
(4) y√y+1
Answer:
Binomial polynomial means that no negetive power on the no
(1) y² + √2 is correct answer
Darrel divided 575 by 14 by using partial quotients. What is the quotient? Explain your answer using numbers and words.
Answer: 41 1/14
Step-by-step explanation:
41R1 ==> 41 1/14
14|575
-56
____
15
-14
__
1
Solve the following system of equations.
-8x -9y = 10
4x -5y = 14
(See picture attached)
Answer:
x=10 and y=-10
Step-by-step explanation:
-8x-9y=10
4x-5y=14
put each equation in brackets and get the coefficient of y in the first equation , multiply it with everything in the second equation .Get also the coefficient of y in the second equation and multiply it with everything in the first equation.
-5(-8x-9y=10)
-9(4x-5y=14)
the subtract the first equation from the second equation after multiplying.
40x+45y=-50
-
-36x+45y=-90
4x=40
x=10
Now get any equation from the two equations and find the value of y.
-8x-9y=10
-8*10-9y=10
-9y=10+80
-9y=90
y= -10
Question 10
If the nth term of a sequence is
3n - 4 what is the 10th term?
Answer:
a₁₀ = 26
Step-by-step explanation:
to find a₁₀ substitute n = 10 into the nth term formula
a₁₀ = 3(10) - 4 = 30 - 4 = 26
If f(x)=-x and j(x)=f(x)+19 list the following attributes
f(x): Slope Y-intercept Zero J(x) Slope Y-intercept Zero
The slope of the functions f(x) and j(x) will be -1. And the y-intercept of the function j(x) will be 19.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
If f(x) = - x and j(x) = f(x) + 19
Then the function j(x) will be given as,
j(x) = f(x) + 19
j(x) = - x + 19
The slope of the functions f(x) and j(x) will be -1. And the y-intercept of the function j(x) will be 19.
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Factor completely.
25 - 9x²
IF YOU CHECK YOU WILL FIND THAT THIS IS A DIFFERENCE OF TWO SQUARES
[tex] = (5 - 3x)(5 + 3x)[/tex]
ATTACHED IS THE SOLUTION
Elijah buys 112 words of exterior equipment from thestereo store there is a 2.5% processing fee for using a credit card what is the total cost of the stereo quitman
Given,
Elijah buys $112 worth of exterior equipment from the stereo store.
Processing fee for using the credit card = 2.5%
Therefore,
Total cost of the exterior equipment
= Worth price + procession fee
= 112 + 2.5% of 112
= 112 + 2.8
= 114.8
Hence, the total cost would be $114.8
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can someone help me with this
Answer:
if im not mistaken its $11
Step-by-step explanation: dint know how to explain but i think its correct
Show the relationship between -5/6 and -7/10. Use an inequality symbol.
[number] / [number] < Fraction btw not division
The relationship between -5/6 and -7/10 is -5/6< -7/10.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
The sign for more than is >. In other words, -7/10>-5/6 means "-7/10 is bigger than -5/6." The sign for less than is <.There is two other sign which represents greater than or equal to and less than and equal to.
It is given that,
Fraction 1,
-5/6 = -0.83
Fraction 2,
-7/10 = -0.7
As we know the value of -0.7 is greater than -0.83.
As a result, the relationship is -5/6< -7/10.
Thus, the relationship between -5/6 and -7/10 is -5/6< -7/10.
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Use the number line to add the fractions.
Drag and drop the answer into the box to match the sum.
The value gotten when -1/2 is added to 2/3 is 1/6.
What is the sum of the fractions?Addition is the process that is used in mathematics to determine the sum of two or more numbers. The sign that represents addition is +.
A fraction is a non-integer that has a numerator and a denominator. The numerator is the number above the line and the denominator is the number below the line. An example of a fraction is 1/2. 1 is the numerator and 2 is the denominator.
[tex]-\frac{1}{2} + \frac{2}{3}[/tex]
[tex]\frac{-3 + 4}{6}[/tex] = [tex]\frac{1}{6}[/tex]
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What is the equation in slope-intercept form of a line (y = mx + b) that has aslope of 3 y-intercept of 6?
The equation of the line is y = 3x + 6
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the equation of the line?The given parameters are
Slope, m = 3
y-intercept, c = 6
A linear equation is represented as
y = slope * x + y-intercept
i.e.
y = mx + c
So, we have
y = 3x + 6
Hence. the linear equation is y = 3x + 6
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can someone answer this pls Im dying
Answer: The rectangle has 2, and the triangle has 3
Step-by-step explanation:
Subtract using the number line. −1−(−6) Enter your answer in the box.
Using the number line we get the value as 5 .
In basic mathematics, real numbers are shown as a graphic of a graduated straight line called a number line.
Every point on a number line is considered to correspond to a real number, and every real number is assumed to correspond to a point.The integers are typically shown as lines of specially chosen, evenly spaced dots. Even though the picture only shows the integers, as well as numbers that are in between the integers, the line contains all real numbers, going forever in both directions. When teaching fundamental addition and subtraction with negative numbers, it is widely used as a teaching technique.Now as represented in the number line we subtract the numbers to get
−1−(−6) = 5
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Find perimeter PERMITER NOT AREA
Answer:
perimeter = 38 units.
Step-by-step explanation:
30 + 7.85
= 37.85
≈ 38 units
Answer:
37.85 (Assuming you are supposed to estimate pi)
Step-by-step explanation:
First, add the easy stuff:
10+10+5+5=30
Then, find the circumference of the circle:
c = 2 π r
c = 2(5)π
c = 10π
Divide by 4:
10π/4 ≅ 7.85
7.85 + 30 = 37.85
Find the measure of
We can conclude that the angle ∠RST is 110°.
What are angles?An angle is a figure in plane geometry that is created by two rays or lines that have a common endpoint. The Latin word "angulus," which means "corner," is the source of the English word "angle." The common endpoint of two rays is known as the vertex, and the two rays are referred to as the sides of an angle.So, as we can see line R and line T are parallel to each other.
Join, R and T with a line that makes a right angle with both lines.(Refer to the image attached below)
Now, we know that ∠R = 90° and ∠SRT = 90 - 60 = 30°.Similarly, ∠T = 90° and ∠STR = 90 - 50 = 40°.In triangle SRT, we know the two angles which are ∠R = 30° and ∠T = 40°.
We know that sum of all angles in a triangle is 180°.So, ∠S in triangle SRT will be:
40 + 30 + ∠S = 18070 + ∠S = 180∠S = 180 - 70∠S = 110Therefore, we can conclude that the angle ∠RST is 110°.
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100 points plus brainiest
The linear function f(x) = 0.5x + 80 represents the average test score in your math class, where x is the number of the test taken. The linear function g(x) represents the average test score in your science class, where x is the number of the test taken.
x g(x)
1 81
2 83
3 85
Part A: Determine the test average for your math class after completing test 2. (2 points)
Part B: Determine the test average for your science class after completing test 2. (2 points)
Part C: Which class had a higher average after completing test 4? Show work to support your answer. (6 points)
after using each and every details of science class and maths class given in the question
solution of
part a - f(2) = 81
part b - g(2) = 83
part c - Test average for maths class after test 2 is greater
WHAT ARE FUNCTIONS ?Function is a mathematical phrase, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). Functions are used frequently in mathematics and are crucial for constructing physical links in the sciences.
CALCULATIONf(x) = 0.5x + 80
solving (A) f(2) = 0.5 * 2 + 80
= 1 + 80
= 81
solving (B) : g(2) =83 when x= 2
so :
g(2) = 83
solving (C) : which is greater f(2) or g(2)
in (a) and (b)
f(2) = 81
g(2) = 83
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Answer:
part a - f(2) = 81
part b - g(2) = 83
part c - average for maths class after test 2 is greater
Step-by-step explanation:
Got it right
Jerald is having drain issues at his home and decides to call a plumber. The plumber charges $70 to come to his house and $50 for every hour they work. If the plumber charges Jerald a total of $285, how many hours did the plumber work?
Write and solve an equation to determine the number of hours worked by the plumber.
50x − 70 = 285; x = 7.1 hours
50x + 70 = 285; x = 4.3 hours
70x − 50 = 285; x = 4.8 hours
70x + 50 = 285; x = 3.4 hours
Answer: B
Step-by-step explanation:
A $70 is fixed, we have to add $50 each hour. So, it will be 70 + 50x. If he charged $285 overall, this means that 70 + 50x = 285
50x = 285 - 70
50x = 215
x = 215/50 = 4.3
HELP
What are the similarities and differences do you see between 3 and 4
For example:
Similar: both arithmetic/linear/common difference
Different: #1 is discrete #3 is continuous
WILL GIVE BRAIN
A bottled water company quality control officer wants to find out how well the label machines are working. He is studying every machine and every bottle to make sure it is usable to a customer. Which represents a population?
the first fifty bottles labeled on Monday morning
one hundred bottles
all the bottles with incorrectly placed labels
all the bottles produced in one day
All the bottles produced in one day represents the population in statistics .
In statistics, a population is a collection of similar things or events that are important to a specific experiment or topic.
A statistical population can be made up of actual objects (such all the stars in the Milky Way galaxy) or hypothetical groups of things that are assumed to be an infinite number of objects based on experience-based generalizations (e.g. the set of all possible hands in a game of poker). A common objective of statistical analysis is to gather information about a chosen community.In statistical inference, a subset of the population (a statistical sample) is chosen to represent the population in a statistical study.The statistical sample must also fairly and accurately represent the population.Since the population represents all the data for a particular time period , in this case we can conclude that the population for the factory will be all the bottles produced in 1 day.
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help i don’t get it
answers pls
The value of x in the given right-angled triangle is 13.
What is the value of x?A triangle is a polygon with three sides and three vertices. The sum of angles in a triangle is 180 degrees. A right triangle is a triangle in which one of its angles measure 90 degrees. The longest side of a right triangle is known as the hypotenuse.
180 = 39 + (3x + 12) + 90
Combine similar terms: 180 - 39 - 12 - 90 = 3x
Add similar terms together: 39 = 3x
Divide both sides of the equation by 3: x = 39/3
x = 13°
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