To calculate your available credit, you need to subtract your current balance and the amount of cash advance you want from your credit limit:
Available credit = credit limit - current balance - cash advance amount
Given that your credit limit is $7,500 and your current balance is $2,200, the available credit can be calculated as follows:
Available credit = $7,500 - $2,200 - cash advance amount
Now, if you want a cash advance of $1,000, for example, your available credit will be:
Available credit = $7,500 - $2,200 - $1,000 = $4,300
Therefore, your available credit is $4,300 if you want a cash advance of $1,000.
To calculate the transaction fee, you need to multiply the cash advance amount by the transaction fee percentage. In this case, the transaction fee is 2.5%. So, if you want a cash advance of $1,000, the transaction fee will be:
Transaction fee = $1,000 x 0.025 = $25
Therefore, if you want a cash advance of $1,000, you will owe a transaction fee of $25. It's important to note that cash advances usually come with a higher interest rate than regular credit card purchases, so it's best to use them only when absolutely necessary and pay them off as soon as possible to avoid accruing interest charges.
the sum of the first 9 terms of an AP is 56 and the sum of the next 10 terms is 430.find the first three terms of the AP.
The first three terms of the AP are -4.28, -7.28, -10.28
What is arithmetic sequence?An arithmetic sequence in algebra is a sequence of numbers where the difference between every two consecutive terms is the same.
Given that, the sum of the first 9 terms of an AP is 56 and the sum of the next 10 terms is 430. we need to find the first three terms of the AP.
The sum of the first n terms in an arithmetic sequence is (n/2)⋅(a₁+aₙ). It is called the arithmetic series formula.
Therefore,
56 = 9/2(2a₁+(9-1)d)
12.44 = 2a₁+7d
2a₁ = 12.44-7d....(i)
430 = 19/2(2a₁+18d)
45.26 = 2a₁+18d
2a₁ = 45.26-18d....(ii)
Equating the RHS of the equations,
12.44-7d = 45.26-18d
11d = 32.82
d = 3
Put d = 3, in equation (i)
2a₁ = 12.44-7(3)
2a₁ = -8.56
a₁ = -4.28
Therefore, the next three terms = -4.28, -7.28, -10.28
Hence, the first three terms of the AP are -4.28, -7.28, -10.28
Learn more about arithmetic sequence, click;
https://brainly.com/question/15412619
#SPJ9
Can 10 18 10 make a triangle
Answer:
No
Step-by-step explanation:
Btw, you know this using Pythagorean therom
10^2 equals 100 and you have two 10's so now you have 200
18^2 equals 324
And because even in a straight line 200 is not long enough for the 324 so it would not fit.
Hope this helps, Brainliest would also help me btw
A circular grassy plot of land of diameter 42 metre has a path wide 3.5 m running around it on outside find the cost of gravelling the path ₹ 4 per square metre
Answer:
₹ 2,001.20
Step-by-step explanation:
We can consider the grassy plot as a circle with radius = 42/2 = 21 m
The grassy plot and the path together form another circle with radius = 21 + 3.5 = 24.5 m
Area of a circle = πr² where r is the radius
Area of grassy plot = π x 21² = 441π m²
Area of outer circle (grassy plot + path) = π x (24.5)² = 600.25π m²
Area of the outer path alone = 600.25π - 441π = 159.25π = 500.30 sq meters
Cost of paving 1 square meter = ₹ 4
Cost of paving 500.3 sq m = 500.3 x 4 = ₹ 2,001.20
procedures that help organize or describe data collected from a sample or a population are called . group of answer choices a. inferential statistics b. analytical variables c. dependent variables d. descriptive statistics
Procedures that help organize or describe data collected from a sample or a population are called Descriptive statistics.
Hence, option D is correct answer.
Descriptive statistics and examples: what are they?Data can be meaningfully and effectively described or summarised using descriptive statistics. For instance, knowing that everyone in our scenario wore blue shoes wouldn't be helpful. It would be helpful to know how evenly distributed their anxiety scores were. Measures of central tendency and measurements of variability make up descriptive statistics (spread).
The mean, median, and mode are measurements of central tendency, while the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness are measures of variability.
Why do we utilise descriptive statistics?
In order to emphasise potential correlations between variables and to give basic information about the variables in a dataset, descriptive statistics can be helpful for both of these aims. The three most used descriptive statistics, which represent the following three variables: graphical/illustrative techniques.
Learn more about the Statistics here: https://brainly.com/question/218301
#SPJ1
Plot the points (-3, 8) and (5, -8) on the plane below. Determine the slope-intercept form of the equation of the line
through these points.
A graph of the points (-3, 8) and (5, -8) is shown on the plane below.
The slope-intercept form of the equation of the line through these points is y = -2x + 2.
How to determine an equation of this line?In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.At data point (-3, 8), a linear equation in standard form for this line can be calculated by using the point-slope form as follows:
y - 8 = (-8 - 8)/(5 + 3)(x + 3)
y - 8 = -16/8(x + 3)
y = -2(x + 3) + 8
y = -2x - 6 + 8
y = -2x + 2
Read more on slope here: brainly.com/question/23086745
#SPJ1
What is the frequency of the function f(x)? f(x)=14cos(2x)+5 express the answer in fraction form. Enter your answer in the box.
The frequency of the function f(x) is 1/π.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable. In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
We need to find the frequency of given function;
f(x)=1/4 cos(2x)+5
To finding the period and then use the general relation frequency
frequency = 1/period
In the given function f(x)=1/4 cos(2x)+5 here, only the constant 2 which will multiply with x effects the period.
As we know that 2π is the period of cosx then the period of cos(2x) is
2x=2π
x=π
So, the period of cos(2x) is π
Now the frequency is F=1/π
Learn more about function here:
https://brainly.com/question/2253924
#SPJ1
Which recursive definition describes the Fibonacci sequence?
Please mark brainlyest.
The Fibonacci numbers are defined by the following recursive formula: f0 = 1, f1 = 1, fn = fn−1 + fn−2 for n ≥ 2. Thus, each number in the sequence (after the first two) is the sum of the previous two numbers.
Examine the coordinate grid below. What are the coordinates of the point A’ when point A is reflected across the x-axis?
Answer:
The rule for reflection along the x axis (x;y) to (x; -y)
A' (x ; -(y) )
A' (4 ; -(5) )
A' (4 ; -5 )
7. A rectangular picture frame has a length of 14 inches and a width of 8 inches. What is the perimeter of the picture frame?
Answer:
The perimeter of the picture frame is 44 inches.
Step-by-step explanation:
The formula for the perimeter of a rectangle is:
Perimeter = 2 x (length + width)
In this case, the length of the picture frame is 14 inches and the width is 8 inches. Substituting these values into the formula, we get:
Perimeter = 2 x (14 + 8) = 2 x 22 = 44 inches
Therefore, the perimeter of the picture frame is 44 inches.
#CarryOnLearning
In a controlled lab environment some organisms exhibit constant growth over a specific period.
Suppose a certain organism starts out weighing 16 mg and grows to 46 mg over a 5 hour period.
Find a linear model (equation of line) that describes the growth of the organism for the time period given.
Hint x is number of hours and y is the weight. Show work
So the linear model that describes the growth of the organism over the 5 hour period is: y = 6x + 16, where x is the number of hours and y is the weight of the organism in mg.
What is linear model?A linear model is a mathematical equation that describes a linear relationship between two or more variables. In other words, it is a model that assumes that the relationship between the variables can be represented by a straight line. Linear models are commonly used in various fields, including economics, finance, engineering, and science, to analyze and predict the relationship between variables. They are particularly useful when analyzing data that shows a linear trend, or when making predictions based on historical data. Linear models can be simple or multiple, depending on the number of independent variables involved. They can also be adjusted to fit nonlinear data by transforming the variables or using a different model altogether.
Here,
To find a linear model that describes the growth of the organism over time, we need to determine the rate of growth (change in weight per unit time) and the initial weight.
The rate of growth can be found by taking the difference between the final weight and the initial weight and dividing by the time period:
Rate of growth = (final weight - initial weight) / time period
= (46 mg - 16 mg) / 5 hours
= 6 mg/hour
So the organism is growing at a rate of 6 mg per hour.
The initial weight of the organism is given as 16 mg.
Now we can write the equation of the line as:
y = mx + b
where y is the weight of the organism in mg, x is the time in hours, m is the rate of growth in mg/hour, and b is the initial weight in mg.
Substituting the values we found, we get:
y = 6x + 16
To know more about linear model,
https://brainly.com/question/29757372
#SPJ1
What is 5/8 equative to
Answer chooses
0.48
0.6
0.675
Answer: C
Step-by-step explanation:
I'll give brainliest
(-7, 4).
Step-by-step explanation:1. Write the given equations.[tex]x=-2y+1\\ \\3x+8y=11[/tex]
2. Solve one of the equations for one of the variables.Most of the times you solve a systems of equations, you'll have to solve one of the equations for one of the variables (x or y), since the first equation is already solved for "x", we may use that and skip this first solving step.
[tex]x=-2y+1[/tex]
3. Substitute the value of "x" on the second equation by the argument of "x" in the first equation.[tex]3(-2y+1)+8y=11[/tex]
4. Distribute and multiply on the left side of the equation.Chech attached image 1.
[tex](3)(-2y)+(3)(1)+8y=11\\ \\(-6y)+(3)+8y=11\\ \\-6y+3+8y=11[/tex]
5. Subtract "3" from both sides of the equation.[tex]-6y+3+8y-3=11-3\\ \\-6y+8y=8[/tex]
6. Work out like terms at the left hand side.[tex]2y=8[/tex]
7. Divide by "2" on both sides.[tex]\frac{2y}{2} =\frac{8}{2} \\ \\y=4[/tex]
8. Substitute "y" by the calculated value (4) on any of the equations to find the value of "x".[tex]x=-2(4)+1\\ \\x=-8+1\\ \\x=-7[/tex]
9. Express the final answer.Now that weëve found a value for both "x" and "y", write the solution as an ordered pair:
(x, y)
(-7, 4).
10. Verify your answer.To algebraically verify your answer, you must use the value of either "x" or "y" on both of the equations and it should return the other value of the missing variable.
Since we already checked with the first equation, go ahead and plug in any of the values on the second equation and check if it returns the correct value.
For example, if we use y=4 in equation 2, it should return an "x" value of -7. Let's test it!
[tex]3x+8(4)=11\\ \\3x+32=11\\ \\3x=11-32\\ \\3x=-21\\ \\\frac{3x}{3} =\frac{-21}{3} \\ \\x=-7[/tex]
That's correct! Answer is (-7, 4).
-------------------------------------------------------------------------------------------------------
Learn more about solving equations here:
brainly.com/question/30652933
brainly.com/question/30596312
brainly.com/question/28282032
brainly.com/question/28306861
brainly.com/question/28285756
brainly.com/question/28306307
brainly.com/question/30015231
Brainly.com/question/29888440
The vertices of a rectangle are at (-4,2),(3,2),(3,-2), and (-4,-2). What is the length of the longer side of the rectangle?
The longer side of the rectangle is the side that connects the points (-4,2) and (3,2), which have the same y-coordinate, so it is a horizontal line.
The length of this side is the distance between the x-coordinates of these two points, which is:
3 - (-4) = 7
Therefore, the length of the longer side of the rectangle is 7 units.
Find domain Range Y-intercept X- intercept Vertical asymptote Horizontal asymptote Pic attached below note write domain and range in interval notation
Find domain
Range
Y-intercept
Xi intercept
Vertical asymptote
Horizontal asymptote
Pic attached below
The domain and range of the function f(x) = 3/x + 2 are (-∞, 0) ∪ (0, ∞) and (-∞, 2) ∪ (2, ∞). The vertical and horizontal asymptotes are x = 0 and y = 2 respectively
What is the domain and range of a functionIn mathematics, the domain of a function is the set of all possible input values (also known as the independent variable) for which the function is defined. The range of a function is the set of all possible output values (also known as the dependent variable) that the function can produce.
To determine the domain and range of a function, it's important to consider the nature of the function, its graph or formula, and any restrictions that may apply.
The function f(x) = 3/x + 2
The domain of the function is (-∞, 0) ∪ (0, ∞)
The range of the function is (-∞, 2) ∪ (2, ∞)
The x - intercept is (-3/2, 0)
The y - intercept does not exist
The vertical asymptotes is x = 0
The horizontal asymptotes is y = 2
Learn more on domain and range of a function here;
https://brainly.com/question/10197594
#SPJ1
show how the damping ratio for a mass-spring-damper system is defined by the ode for a mass-spring-damper system in terms of mass, m, stiffness, k, and damping, b?
The equation that shows the damping ratio for a mass-spring-damper system which is defined in terms of the mass, m, stiffness, k, and damping, b is ζ = b / (2sqrt(mk)).
What is damping ratio?The damping ratio ζ is defined as the ratio of the damping coefficient b to the critical damping coefficient b_c, which is the minimum damping required to prevent the system from oscillating.
The damping ratio is a dimensionless quantity that represents the amount of damping in the system relative to the critical damping needed to prevent oscillations. A higher damping ratio indicates a more heavily damped system, while a lower damping ratio indicates a less damped system that may oscillate more.
The motion of a mass-spring-damper system can be described by a second-order linear ordinary differential equation (ODE) of the form:
md²x/dt² + bdx/dt + kx = F(t)
where m is the mass of the system, b is the damping coefficient, k is the spring constant, x is the displacement of the mass from its equilibrium position, and the external force applied to the system is F(t).
The critical equation will be -
b_c = 2√(mk)
Therefore, the damping ratio can be expressed as:
ζ = b / b_c
Substituting the expression for b_c into the above equation, we get:
ζ = b / (2√(mk))
To know more about coefficient visit:
https://brainly.com/question/1594145
#SPJ1
given that f(x) =x^2 - 13x + 36 and g (x) = x -4, find f (x) -g (x) and express the result as a polynomial in simplest form.
Answer:
f(x)-g(x)
= [tex](x^{2} - 13x + 36) - ( x -4)[/tex]
= [tex]x^{2} -13x+36-x+4[/tex]
= [tex]x^{2} -14x-40[/tex]
Yesterday, a movie theater sold 289 bags of popcorn. A large bag of popcorn costs $4. A small bag of popcorn costs $1. In all, the movie theater made $544 from popcorn sales. Write and solve a system of equations to find how many bags of each side of popcorn were sold.
The movie theater sold __ large bags of popcorn.
The movie theater sold __ small bags of popcorn.
(MARKING BRAINLIEST FOR RIGHT ANSWER)
Answer:
The movie theater sold 85 large bags of popcorn and 204 small bags of popcorn.
Step-by-step explanation:
Let's use the following variables to represent the number of large and small bags of popcorn sold:
L: the number of large bags of popcorn sold
S: the number of small bags of popcorn sold
We can then write a system of equations based on the information given in the problem:
L + S = 289 (the total number of bags sold is 289)
4L + S = 544 (the total revenue from popcorn sales is $544)
To solve for L and S, we can use the method of substitution. Rearrange the first equation to solve for one variable in terms of the other:
L = 289 - S
Substitute this expression for L in the second equation and solve for S:
4(289 - S) + S = 544
1156 - 4S + S = 544
3S = 612
S = 204
Now that we know that 204 small bags of popcorn were sold, we can use the first equation to solve for L:
L + S = 289
L + 204 = 289
L = 85
Therefore, the movie theater sold 85 large bags of popcorn and 204 small bags of popcorn.
The multiplicative inverse of a number is also called its _______________.
Answer:
Step-by-step explanation:
What is the volume of a cube with a side length of 1/4 inch?
Answer: 1/64 cubic inch
Step-by-step explanation:
Side of cube = 1/4
Volume = s^3 = 1/4^3
= 1/64
Hope this helps!!
Together, teammates Pedro and Ricky got 2685 base hits last season. Pedro had 285 more hits than Ricky. How many hits did each player have?
Answer:
Ricky has 1204 hits and Pedro has 1481 hits.
Step-by-step explanation:
Answer: pedro had 1,200 and ricky had 1,485
Step-by-step explanation: all i did was 2685 - 285 which equals 2,400. then i did 2,400 divided by 2 which was 1,200, pedro had 1.200 hits.
1,200 add 285 equals 1,485. ricky has 1,485. to double check add 1,200 and 1,485 and you should get 2,685
Which ot the following numbers is NOT divisible by 3?
300
321
241
8,910
Answer:
Which of the following numbers is NOT divisible by 3?
241Step-by-step explanation:
You're welcome.
Answer:
241
Step-by-step explanation:
300÷3=100
321÷3=107
241÷3=80.33
8,910÷3=2,970
Express the folowing interval in set-builder notation and gragh the interval on a number line.
[-2,3)
The interval in set builder notation is {x : x ≥ -2 and x < 3, where x ∈ R} and the graph of the interval is given below.
What is meant by Set Builder Form?Set builder form is used to represent the numbers in a set especially infinite numbers in a set using a statement which describes all the elements in the set.
Given interval is [-2, 3).
This is a closed interval from -2 and open interval at 3.
So, this interval contains all the elements from -2 to 3 where 3 is not included.
So, the set builder form can be written as,
{x : x ≥ -2 and x < 3, where x ∈ R}
The graph of the interval on the number line will be a straight line with closed circle at -2 and open circle at 3.
Hence the set builder form is {x : x ≥ -2 and x < 3, where x ∈ R}.
Learn more about Set Builder Form here :
https://brainly.com/question/10294211
#SPJ9
Round 10.468 to the nearest hundredth
Answer:
Step-by-step explanation:
10.468 rounded to the nearest hundredth would be 10.47
4 = tenths place
6 = hundredths place
8 = thousandths place
8 >= 0.5 so 10.468 --> 10.47
Answer: 10.47
Step-by-step explanation: After the decimal, it goes tenths, hundredths, thousandths. So we're looking at the second place after the decimal, which is a 6, and the next number is 8. Think of it like 68, rounding up to the next ten, or 70. So that turns it into 10.470, and you get to drop the zero to make it 10.47.
14. Tamika is calculating the measure of an interior angle of a regular polygon and gets an answer of 184°. How do you know Tamika made an error?
Answer:
Step-by-step explanation:
Because the interior angle, which cannot be greater than 180, is apparently 184 degrees.
Suppose that the quadratic function:
f (x) = (x − 3)² + 5
is transformed
into:
g(x) = (x − 6)² + 3.
How is the graph of the original function transformed?
A: left 2 units and down 3 units
B: right 3 units and down 2 units
C: right 3 units and up 2 units
D: right 2 units and down 3 units
E: left 3 units and up 2 units
F: left 3 units and down 2 units
Answer:B
Step-by-step explanation: I took the test
trust me :p
If the discriminant is negative, there are nο real sοlutiοns, but there are twο cοmplex sοlutiοns in the fοrm οf cοmplex cοnjugates.
What is the quadratic equatiοn?In algebra, a quadratic equatiοn is any equatiοn that can be rearranged in standard fοrm as where x represents an unknοwn value, and a, b, and c represent knοwn numbers, where a ≠ 0.
A quadratic equatiοn is a secοnd-degree pοlynοmial equatiοn in οne variable οf the fοrm:
ax² + bx + c = 0
where a, b, and c are cοnstants, and x is the variable. The quadratic equatiοn is used tο sοlve prοblems that can be represented by a secοnd-degree pοlynοmial functiοn.
The general fοrm οf the quadratic equatiοn can be sοlved using the quadratic fοrmula:
x = (-b ± √(b² - 4ac)) / 2a
where the "±" sign means that there are twο pοssible sοlutiοns, οne with the pοsitive square rοοt and the οther with the negative square rοοt.
The quadratic equatiοn can have οne, twο, οr nο real sοlutiοns depending οn the value οf the discriminant b² - 4ac. If the discriminant is pοsitive, there are twο distinct real sοlutiοns. If the discriminant is zerο, there is οne real sοlutiοn with a multiplicity οf 2.
If the discriminant is negative, there are nο real sοlutiοns, but there are twο cοmplex sοlutiοns in the fοrm οf cοmplex cοnjugates.
To learn more about quadratic equation, Visit
https://brainly.com/question/1214333
#SPJ1
If f(1)=9f and f(n)=−2f(n−1)−1 then find the value of f(4)
Answer:
f(4)= 36
f(4) = 7n-7
Step-by-step explanation:
f(4)= 9(4)
36= f(4)
f(4) = - 2(4)(n-1)-1
8(n-1) - 1
7 (n-1)
7n-7 = f(4)
How do you find this ?
Answer:
Option D : 22°
Step-by-step explanation:
The relationship between angle C and the two legs of the right triangle ie AB and BC is
[tex]\tan C = \dfrac{AB}{BC}\\\\\text{We have AB = 2, AC = 5}\\\\\rightarrow \tan C = \dfrac[2}{5}= 0.4\\\\m\angle C = \tan^{-1}(0.4) = 21.8^\circ[/tex]
Rounded to the nearest degree this would be 22°
Option D
Answer:
D
Step-by-step explanation:
using either the sine or cosine or tangent ratios in the right triangle , that is
sin C = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{2}{\sqrt{29} }[/tex] , then
∠ C = [tex]sin^{-1}[/tex] ( [tex]\frac{2}{\sqrt{29} }[/tex] ) ≈ 22° ( to the nearest degree )
or
cos C = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{5}{\sqrt{29} }[/tex] , then
∠ C = [tex]cos^{-1}[/tex] ( [tex]\frac{5}{\sqrt{29} }[/tex] ) ≈ 22° ( to the nearest degree )
or
tan C = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{2}{5}[/tex] , then
∠ C = [tex]tan^{-1}[/tex] ( [tex]\frac{2}{5}[/tex] ) ≈ 22° ( to the nearest degree )
jo needs to estimate the cost, icluding tax, of a pair of jeans originally priced at $30, they are on sale for 40% off.
which is the best plan for determining the sale price ?
Therefore , the solution of the given problem of percentage comes out to be $18 is the original price.
What is a percentage?In mathematics, a percentage is any value that can be represented as a fraction of 100. There are also sporadic uses of the abbreviations "pct.," "pct," or "pc." Nonetheless, it is typically denoted by the "%" symbol. The proportional amount is flat and lacks any dimensions. As percentages have a numerator of 100, they can be thought of as fractions. The percent symbol (%) must come after a number to denote that it is a percentage.
Here,
To determine the sale price of the jeans including tax, Jo should follow these steps:
Find the sale price of the jeans before tax:
Sale price = Original price - Discount
= $30 - 40%($30)
= $30 - $12
= $18
Find the tax amount by multiplying the sale price by the tax rate (which varies depending on the location):
Tax amount = Sale price x Tax rate
Add the sale price and the tax amount to get the total cost:
Total cost = Sale price + Tax amount
So the best plan for Jo to determine the sale price including tax would be to follow the above steps using the applicable tax rate in their location.
To know more about percentage visit:
https://brainly.com/question/28269290
#SPJ1
4% interest compounded semiannually. What must Tony deposit today so he will have $60,000 in four years?
Determine whether the following statement describes a population or a sample. The amount of money each person in your world history class spends renting movies in a week.
The statement describes a sample. Specifically, it is referring to the amount of money each person in your world history class spends renting movies in a week. The class is a subset of a larger population, and the statement is only referring to the sample within that population.
How can you tell if a sample is representative of the whole?By incorporating members of all demographic categories (gender, rural/urban, economic levels, etc.) and having them in the same proportions as the entire population, your sample must be representative of the general population. If there are excessive numbers of participants from rural areas, men, etc., it is not truly representative.
Is money a sampling or a population?Response and justification: A population is the sum of money each student in your global history class spends each week on movie rentals. Because each member of the group is included in the study, this is a population.
To know more describes a population visit:
https://brainly.com/question/13794992
#SPJ1