If the interest rate on your loan is lowered from 3.5% to 3%:
A) The percentage change is 14.28%
B) The percentage point of change is 0.5%
What is meant by interest rate?A portion of the total loan amount that the borrower is required to pay the lender as interest over a predetermined timeframe. An interest rate is the percentage of a loan, deposit, or borrowing that must be paid in interest each period (called the principal sum). The total amount of interest charged depends on the amount lent or borrowed, the interest rate, the frequency of compounding, and the length of time it was lent, deposited, or borrowed.
Let the capital will be 100
For interest rate 3.5% then the loan amount will be:
100×(3.5/100)=3.5
For interest rate 3% then the loan amount will be:
100×(3/100)=3
A) Percentage change=((-3.5+3)/3.5)×100
=(-0.5/3.5)×100
=14.28%
B) Percentage point of change=3.5%-3.0%
=0.5%
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which of the following is not the same across classification and regression decision trees? a. type of predicted variable b. impurity measure/ splitting criteria
The following is not the same across classification and regression decision trees is a . type of predicted variable .
Given :
which of the following is not the same across classification and regression decision trees a. type of predicted variable b. impurity measure/ splitting criteria .
What is classification and regression decision trees ?
CART is a predictive algorithm used in Machine learning and it explains how the target variable's values can be predicted based on other matters.
The not same across classification and regression decision trees is type of predicted variable .
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Given the following function: f ( x ) = 8 x 2 − 16 a. Factor completely. b. What are the x -intercepts. c. What is f ( − 1 ) d. What is the domain and range? e. Find the inverse of the function. f. What is the domain and range of the inverse? g. What is the relationship between the domains and range of a function and its inverse? h. Will the domain and range of all functions and their inverses follow this same pattern?
(a) This is the factored form of the equation.
(b) The x - intercepts are (√2, 0) and (-√2, 0).
(c) The value of f(-1) is -8.
What is x - intercept?
We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable. Set x = 0 and then solve for y to find the y-intercept.
(a) Consider, the given equation
f(x) = 8x^2 - 16
First to factor the equation.
Take 8 common from both the terms,
f(x) = 8(x^2 - 2)
This is the factored form of the equation.
(b) Now to find the x- intercept.
Let y = 8x^2 - 16
Set y = 0
So,
0 = 8x^2 - 16
8x^2 - 16 =0
x^2 - 2 = 0
x^2 = 2
x = ±√2
Hence, the x - intercepts are (√2, 0) and (-√2, 0).
(c) Now to find the value of f(-1)
plug x = -1 in the given equation.
f(-1) = 8(-1)^2 - 16
f(-1) = 8(1) - 16
f(-1) = 8 - 16
f(-1) = -8
Hence, the value of f(-1) is -8.
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PLEASE HELP I NEED THIS RIGHT NOW!!
Two pools are being filled with water. To start, the first pool had 972 liters of water and the second pool was empty. Water is being added to the first pool at a rate of 17 liters per minute. Water is being added to the second pool at a rate of 44 liters per minute.
Let x be the number of minutes water has been added.
Answer: To find the number of liters of water in the first pool after x minutes have passed, we can use the formula:
972 + 17x
To find the number of liters of water in the second pool after x minutes have passed, we can use the formula:
44x
Note that both of these formulas assume that the pools are being filled continuously, without any interruptions. If the flow of water into either pool is interrupted at any point, the actual amount of water in the pools may be different from what these formulas predict.
Answer:
a)
17x + 972
44x
b)
972 + 17x = 44x
Step-by-step explanation:
what is 403.1 rounded to the nearest ten
Answer:
400
Step-by-step explanation:
403.1 rounded is 400
contains two base angles measuring 110g degrees.
3.) Hot Air Balloon You are in a hot air balloon that is 600 feet above the ground where you
can see two people.
600 ft
Not drawn to scale
If the angle of depression from your line of sight to the person at B is 30°, how far is
the person from the point on the ground below the hot air balloon?
The distance from the the point on the ground bellow the hot air balloon is 1039 feet
How to calculate the distance?Distance here talks about how far the person stands from a point
The given parameters are
The angle of depression from the point 30⁰
Height of the air balloon = 600 feet
The distance from the the point on the ground bellow the hot air balloon = x
To find x we use the trigonometric ratio:
TanB = opposite/Adjacent
Tan30 = 600/x
This implies that x*tan30 = 600
Making x the subject we have 600/tan30
⇒x = 600/0.5774
x=1034 feet
In conclusion, the distance from the the point on the ground bellow the hot air balloon is 1039 feet
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For the function f(x) = -2x² + 12, determine f(4).
A) -20
B) 48
C) 76
D) -52
Answer: A.-20
Step-by-step explanation:
f(4)=-2(4)^2+12
f(4)=-2(16)+12
f(4)=-32+12
f(4)=-20
A. p = 70
B. p = 140
C. p equals 2 over 140
D. p = 0.0143
The constant of proportionality (p) for the data points on this graph would then be determined as follows: [tex]p = y/xp = 420/6 = 560/8p = 70.[/tex]
How can a proportional relationship be located on a graph?It is proportional if the relationship's graph is a line or ray that passes through the origin.A line or ray is not proportional if it does not pass through the origin.Additionally, if it is not linear, it cannot be proportional.following equation: y = px
Where:
p is the constant of proportionality.
y represents the gems collected.
x represents the game levels.
The constant of proportionality (p) for the data points on this graph would then be determined as follows: [tex]p = y/xp = 420/6 = 560/8p = 70.[/tex]
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Select the correct answer.
Solve the quadratic equation given below. (9x+13)^2=49
X= -2/3; -20/9
X= 2/3; 20/9
X= 2/3; -20/9
X= -2/3; 20/9
Answer:
x = -2/3; -20/9 so A
Step-by-step explanation:
im 100% percent sure:)
what is the reciprocal of 7 3/7?
The reciprocal of 7 3/7 is 7/52
Answer: I'm pretty sure it's 7/52
Step-by-step explanation:
7*7 is 49, plus the 3 is 52, then the reciprocal of that. 7/52 is already in it's simplest form. Hope this helps!
What’s the value of x?
For the given similar triangle the value of x will be 9 inches.
What is the similarity law for triangles?It is required by law to demonstrate that two triangles are identical in shape, although size is not a requirement. The comparable angles are congruent and the ratio of the respective sides is in the same proportions.
It is given that, the unknown side is x, from the observation it is obtained that the two triangles are similar
The derived formula is, because the sides of the similar triangles are all equal in ratio.
8/6=12/x
x=12×6 / 8
x=9 inches
Thus, for the given similar triangle the value of x will be 9 inches.
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9. What is slope of a line that is perpendicular to the line y = -3x + 2?
Answer: [tex]\displaystyle \frac{-1}{3}[/tex]
Step-by-step explanation:
The slope of a perpendicular line will always be the reciprocal of the original line's slope. Here, the reciprocal of -3 is [tex]\frac{-1}{3}[/tex].
Solve the system below by the method of your choice. Show all work.
−4x+4y=−8
4x−6y=16
Isolate one of the two variables in one of the equations.
How to solve the system?Substitute the expression that is equal to the isolated variable from Step 1 into the other equation.Determine which variable will be eliminated. ...Combine the equations using addition. ...Solve the new equation for the remaining variable.Substitute the value for that variable into one of the original equations and solve.Solve the linear equation for the remaining variable.The mathematical expression with unequal sides is known as an inequality in mathematics. Inequality is referred to in mathematics when a relationship results in a non-equal comparison between two expressions or two numbers. In this instance, any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to symbol (), less than or equal to symbol (), or not equal to symbol (), is used in place of the equal sign "=" in the expression. Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics.(- 2, - 4 )
- 4x + 4y = - 8 → (1)
4x - 6y = 16 → (2)
adding (1) and (2) term by term will eliminate x
0 - 2y = 8
- 2y = 8 ( divide both sides by - 2 )
y = - 4
substitute y = - 4 into either of the 2 equations and solve for x
substituting into (2)
4x - 6(- 4) = 16
4x + 24 = 16 ( subtract 24 from both sides )
4x = - 8 ( divide both sides by 4 )
x = - 2
solution is (- 2, - 4 )
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John nee 20 gram of a 54% acid olution for hi cience project. Hi chool' cience laboratory ha bottle of 30% olution and bottle of 60% olution. How much of each hould john ue?
By solving equations we know that he should mix 4 grams and 16 grams of the 30% and 60% bottles, respectively.
What are equations?In mathematical equations, the equals sign is used to show that two expressions are equal.
According to algebra, an equation is a statement that shows the equality of two mathematical expressions.
For instance, the formulas 3x + 5 and 14, which together make the equation 3x + 5 = 14, are separated by the word "equal."
So, John requires a total of 20 grams.
Let x equal the 30% that he requires.
Let 20-x equal 60% of what he needs.
So, we have:
(x/20 * 30) + (20-x/20 * 60) = 54
Evaluate as follows:
1.5x + 60 -3x = 54
-1.5x = -6
x = 4 grams
20-x = 16 grams
Therefore, by solving equations we know that he should mix 4 grams and 16 grams of the 30% and 60% bottles, respectively.
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The points (3,r) and (7,-1) lie on a line with slope of -3. Find the missing coordinate r .
Answer:
I'm not sure but x1=3 that's all I know I didn't do it on edge tho
Answer:
r = 11
Step-by-step explanation:
Since we have a slope and one confirmed point, a good approach would be to find the equation of the line that goes through that point. The equation can then be used to find r, for x = 3.
The standard format for an equation of a straight line is y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0). The slope is -3:
y = -3x + b
To find b, enter the given point and solve for b:
-1 = -3*(7) + b [for (7,-1)]
b = 20
The equation for this line is y = -3x + 20
Now enter (3,r)
y = -3x + 20
r = -3(3) + 20
r = 11
The point (3,r) is (3,11)
See the attached graph
i need help past due
Answer:
$3.45
Step-by-step explanation:
To find the unit price, there must be one gallon of gas
24.82 : 7.2
? : 1
Cross multiply: 24.85 = 7.2(?)
divide: 3.45138889 = ?
Round: 3.45
For each system of equations, drag the true statement about its solution set to the box under the system.
Therefore ,the answer that states, "Infinitely many solutions, both sides are equivalent expressions" is the one that should be selected in this case.
What is equation ?Equations are mathematical expressions that have two algebraic expressions on either side of an equals (=) sign. For an unknown quantity represented by an unknown variable, equations can be solved to determine its value.
Here,
The number of solutions is unlimited if there are more variables than linear independent equations.
A single solution or no solution is possible if there are the same number of linearly independent equations and variables.
In the following scenarios, we are at a loss for solutions:
y = x + 3
y = x - 3
this causes:
x + 3 = x - 3
+3 = -3
Consequently, this system lacks a solution.
The first set of equations is
y = x + 5
y = 2x + 5
You can see that there is only one solution for this system because there are only two variables and two linear independent equations.
Thus, "One solution, the graph of these lines should connect at one point" is what we have here. The key idea is (0, 5)
Another system is:
y =x+x+5 = 2x + 5
y = 2x+ 5
Since both equations are identical and there are just two variables in this situation, there are an endless number of solutions to the system.
The answer that states, "Infinitely many solutions, both sides are equivalent expressions" is the one that should be selected in this case.
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Mai plans to watch 3 movies each month. Write an equation to represent the total number of movies n that she will watch m months.
2 monthly = 2 m, an equation for calculating the total number of movies she will watch over the course of m months.
What is Equation?A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance.
Equations come in a variety of forms, including linear, quadratic, cubic, etc.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. The statement is not an equation if there is no "equal to" symbol in it.
According to our question-
Mai may view the following number of films each month if he watched two per month:
movies available = n
m = months
2 monthly = 2 m
Hence, 2 monthly = 2 m, an equation for calculating the total number of movies she will watch over the course of m months.
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please hurry
A truck company charges $30 to rent a moving truck for the day, plus 5 cents for every mile driven during the day. The function f(x)=0.05x+30 represents the total cost for the moving truck for one day's rental where x is the number of miles driven.
Part A: Jada rents the moving truck for one day and drives a total of 42 miles. What would be her costs for the rental? To earn full credit, show your work using a method explained in the Orientation.
Part B: Kimmy rented the same moving truck and spent a total of $37.80. How many miles did she drive during the rental period? To earn full credit, show your work using a method explained in the Orientation.
Answer:
Part A: $32.10
Part B: 156 miles
Step-by-step explanation:
Part A:
$0.05 per mile. 0.05 times 42 = $2.10
30 + 2.10 = $32.10
Part B:
The rent cost a day is $30
37.80 - 30 = $7.80
7.80 is the money for miles
7.80 divided by 0.05 = 156 miles
Select all of the expressions that could go on the right side of the equation to make the equation have no solutions.
Answer:
c is correct
Step-by-step explanation:
take 8 common bro
What is meant by the trend component of a time series? How is a linear trend different from a nonlinear trend? CO What is meant by the trend component of a time series? ary OA. The trend component represents changes in time-series data that are unpredictable and cannot be associated with a seasonal, cyclical, or random component. OB. The trend component is the long-term increase or decrease in a variable being measured over time. OC. The trend component is a wavelike pattern that is repeated throughout a time series and has a recurrence period of at most one year. D. The trend component is a wavelike pattern within the time series that repeats itself throughout the time series and has a recurrence period of more than one year.
Answer: A trend line is a line on a scatter plot, drawn near points, that approximates the association between the data sets.
Step-by-step explanation:
2. The linear trend in precipitation is the dominant trend type. The nonlinear trends occur much less frequently and more widely scattered over the globe. However, the nonlinear trends are credible patterns of change in precipitation.
3. The trend is the component of a time series that represents variations of low frequency in a time series, the high and medium frequency fluctuations having been filtered out. This component can be viewed as those variations with a period longer than a chosen threshold
4. The trend component represents changes in time-series data that are unpredictable and cannot be associated with a seasonal, cyclical, or random component. OB. The trend component is the long-term increase or decrease in a variable being measured over time.
5. The trend is the component of a time series that represents variations of low frequency in a time series, the high and medium frequency fluctuations having been filtered out.
6. The trend component is the long-term increase or decrease in a variable being measured over time.
Please answer this Question
Option (C) is the proper choice, both set A and B
Describe a function.
It is described as a particular kind of relationship, and each value in the domain is associated to exactly one value in the range according to the function.
These are the ordered pairs:
Set A: (-1, 0), (-2, 1), (4, 3), (3, 4) (3, 4)
Set B: (1, 4), (2, 3), (3, 2), (4, 1) (4, 1)
Set C: (2, 1), (3, 2), (2, 3), (1, 4) (1, 4)
Sets A and B are both functions since they both have sets of x values that are all distinct. Set C is not a function because it repeats the x value of 2, while also providing two distinct y values.
As a result, the function option (C) is the proper choice and the set C: (2, 1), (3, 2), (2, 3), and (1, 4) does not represent the function.
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What is an equation of the line that passes through the point (-5,-3) and is parallel to the line 3x+5y=15
Answer: [tex]y+3=-\frac{3}{5}(x+5)[/tex]
Step-by-step explanation:
The equation of the given line can be rearranged as follows:
[tex]3x+5y=15\\\\5y=-3x+15\\\\y=-\frac{3}{5}x+3[/tex]
Parallel lines have the same slope, so the slope of the line we need to find is -3/5.
Substituting into point-slope form, the equation of the line is [tex]y+3=-\frac{3}{5}(x+5)[/tex].
Imagine
Math
y =
Slope-Intercept Form - Item 35340
Pre-Quiz
x+
Guided
Learning
Complete the slope-intercept form of the linear equation that represents the
relationship in the table.
Practice
Post-Quiz
Finish
Welcome, Brookly
X
ليا
-2
y
-5
5
CLEAR
с
Please some one answer I’ve been working on this forever
Answer:
353340 + x + 33
Step-by-step explanation:
real life sum situation
As x increases by 1 unit, what is the exponential growth factor?
Identify where the new point A goes after
a 270° rotation about the origin (-4,2)
Answer: point A will stay where it is.
Step-by-step explanation: point A is the point of rotation
If e 5 x = 24 e 5 x = 24 , then x
The value of x is 0.636.
What is logarithms?
The opposite of exponentiation is the logarithm. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.
f(x) = [tex]log_{a}x[/tex] (r) y = [tex]log_{a}x[/tex], where a > 0. It is the inverse of the exponential function a^y = x. Log functions include natural logarithm (ln) or common logarithm (log).
Given equation is
e^(5x) = 24
taking log with base e on both sides:
ln e^(5x) = ln 24
Applying the formula ln e^a = a
5x = ln 24
Divide both sides by 5:
x = 0.636
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Simplify the polynomials.
- (2x²+x+1)-(x²-x+7)-(4x²+2x+8)
Answer:
-7x(to the power of 2)-2x-16
Explanation:
A andwich hop erve 4 ounce of meat and 3 ounce of cheee on each andwich. After making andwiche for an hour, the hop owner ha ued 91 combined ounce of meat and cheee. How many combined ounce of meat and cheee are ued on each (1) andwich?
The combined ounces of meat and cheese used on each sandwich is 7 ounces and the combined ounces of meat on all sandwiches is 52 ounces and that of cheese on all sandwiches is 39 ounces.
According to the question,
We have the following information:
A sandwich hop serve 4 ounce of meat and 3 ounce of cheese on each sandwich. After making sandwiches for an hour the hop owner has used 91 combined ounce of meat and cheese.
Combined ounces for 1 sandwich:
Ounces of meat + ounces of cheese
4+3
7 ounces
It is given that in an hour 91 ounces of combined cheese and meat are used.
Now, we have:
Number of sandwiches made in 1 hour = 91/7
Number of sandwiches = 13
Ounces of meat used in 13 sandwiches can be found using multiplication as follows:
13*4
Ounces of meat used in 13 sandwiches = 52 ounces
Ounces of cheese used in 13 sandwiches can found using multiplication as follows:
13*3
Ounces of cheese used in 13 sandwiches = 39 ounces
Hence, the combined ounces of meat and cheese used on each sandwich is 7 ounces and the combined ounces of meat on all sandwiches is 52 ounces and that of cheese on all sandwiches is 39 ounces.
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State all integer values of x in the interval (1, 8) that satisfy the following inequality:
4x - 5 4
Integers lying in between in interval (1, 8) are 3, 4, 5, 6, 7, which satisfy the given inequality.
Explain the term closed interval?Any interval that contains all the limit points is said to be closed. The symbol for it is []. For instance, [2, 5] denotes a value greater or equal to 2 and lower or equal to 5. If one of an open interval's endpoints is present, it is referred to as a half-open interval. These intervals are regarded as closed since the endpoints create a boundary.4x - 5 > 4
4x > 9
x > 2.25
Integers lying in between in open interval (1, 8) are 3, 4, 5, 6, 7
Thus, integers lying in between in interval (1, 8) are 3, 4, 5, 6, 7, which satisfy the given inequality.
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The correct question is-
State all integer values of x in the interval (1, 8) that satisfy the following inequality:
4x - 5 > 4
PLEASE HELP ASAP!!!
Dontaya is at the top of a lighthouse
which is 250 feet above sea level. From the top, the measure of the angle of depression to Brace's boat on the water is 48 degrees. How far is Brace's boat from the bottom of the lighthouse? (round your FINAL
answer to the nearest whole foot)
Brace's boat is 225 feet from the bottom of the lighthouse.
What do you mean by trignoemtry?
Trigonometry (“triangles” and “measures”) is the branch of mathematics that studies the relationship between the side lengths and angles of triangles.
Trigonometry is one of the important branches in the history of mathematics that studies the relationship between the sides and angles of right triangles.
Trigonometric ratios of triangles are also called trigonometric functions. Sine, cosine, and tangent are three important trigonometric functions, abbreviated sin, cos, and tan.
It is given that Dontaya is at the top of a lighthouse which is 250 feet above sea level. From the top, the measure of the angle of depression to Brace's boat on the water is 48 degrees
Let Brace's boat is x feet from the bottom of the lighthouse.
Using trignometric ratios,
tan 48 = [tex]\frac{P}{B}=\frac{250}{x}[/tex]
1.11 = [tex]\frac{250}{x}[/tex]
x = [tex]\frac{250}{1.11} = 225.23[/tex] ≈ 225 feet
Therefore, Brace's boat is 225 feet from the bottom of the lighthouse.
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