Using the table, the average daily balance of the credit card for the August 1 through August 31 billing period is $705.
What is the average daily balance?The average daily balance refers to the computed total balance divided by the number of days in the billing cycle.
The computed total balance is the sum of closing balance multiplied by the number of days covered in the billing cycle before the next credit card transaction or activity.
Day Activity Adjustment Closing Balance No. of days Total
1 -- -- 950 7 $6,650
8 Payment −600 350 8 2,800
16 Purchase +300 650 8 5,200
24 Purchase +250 900 8 7,200
Total 31 $21,850
Average daily balance = $705 ($21,850/31)
Thus, the average daily balance on the credit card is $705.
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6. A garbage truck collects trash from
68 trash cans. Another truck collects
trash from 39 fewer trash cans. How
many trash cans do the trucks collect
trash from in all?
trash cans
What do you know about the relationship between lines a and b? justify your conclusion with a theorem or postulate
Answer:
last answer.
Step-by-step explanation:
First of all, how did you get the second answer?
Line a has to be perpendicular to Line b.
Perpendicular transversal theorem:
In a plane, if a line is perpendicular to one of two parallel lines , then it is perpendicular to the other line also.
In this case, a||c, and line b is perpendicular to line c.
We can therefore use perpendicular transversal theorem to state that line a is perpendicular to line b.
What is the quotient of 7.2x10^8 and 3.6x10^5 expressed in scientific notation
Answer:
2.0 x 10^3
Step-by-step explanation:
7.2x10^8/3.6x10^5= 2000= 2.0 x 10^3
QUESTION 1: In the clip, Danny Nguyen is all-in with A 7 against an opponent with A K+. The flop is
5 K 5. After this, the next two cards must both be sevens for Nguyen to win. Compute the probability
of this happening. NOTE: There are three sevens left in the deck and it is no longer a 52 card deck
because the cards shown are removed. Show all calculations in determining your answer
The probability is 0.00332.
From the given question,
Danny Nguyen has A 7 and opponent has A K+.
The flop is : 5 K 5
As there are two players playing the remaining cards in the deck will be (52 - 2 - 2 - 3 -1(burn)) = 44
For Nguyen to win he needs two of the three 7's left in the deck for turn and river.
For turn we have to select a 7 from the three 7's and for river we have to select a 7 of the remaining two 7's.
So the probability is
P = [tex]\frac{\binom{3}{1}}{\binom{43}{1}}*\frac{\binom{2}{1}}{\binom{41}{1}}[/tex]
P = 0.00332
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Danny’s home cost $350,000. If the federal government program for flood damage insurance covers only $150,000, what percent of the total value does this represent?
Amount of $150,000 represents 42.86% of $350,000.
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Danny’s home cost $350,000. The federal government program for flood damage insurance covers only $150,000.
Assume that it represents [x%] percent of the total value. Then, we can write -
x = (150000/350000) x 100
x = 42.86%
Therefore, $150,000 represents 42.86% of $350,000.
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will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest
Answer:
28.26
Step-by-step explanation:
please help me solve this question
The function on the graph can't be a sin, then the correct option is:
y = A*cos(k*x) + C
Which equation matches the graph?
We know that the graph is either of the equation:
y = B*sin(k*x) - C
Or
y = A*cos(k*x) + C
Now, notice that there is a maximum at x = 0
And we also know that:
sin(0) = 0
cos(0) = 1
Then the option with the sin can be discarded, as it does not have a maximum at x = 0.
The correct option is:
y = A*cos(k*x) + C
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Make the subject of
X
16
=
р
Answer: x= p16
Step-by-step explanation:
Complete the statement. The drawing is not to scale.
Answer:
The second option so 54 degrees.
Step-by-step explanation:
The line drawn on angle d in both spots indicates it's congruent so if one side is a number the other side is that same number so in this case, it's 54 degrees.
Question 30 of 50
The inequality x ≤ -2 would represent the values {-1, -2, -3}.
False
True
Answer:
False. -1 is more than -2, so the first value shows it is false.
Suppose you sell 8,000 of the 3 pack of lenses described in question 3 above in one year. You cost on each 3 pack is $29.95 and you sell them for $59.95. If your operating expenses for the year total $144,080, what are your Net Income and Net Profit Margin Percentage?
Your net income and Net profit margin percentage, given the cost of the pack of lenses, and your operating expenses are:
Net income - $95, 920Net profit margin percentage - 19.3%How to find the net income?To find the net income, first find the revenue:
= Number of packs x selling price
= 8, 000 x 59.95
= $479,600
The cost of goods sold is:
= Cost of lenses x number of lenses
= 29.95 x 8,000
= $239, 600
The net income is:
= Revenue - cost of goods sold - operating expenses
= 479, 600 - 239,600 - 144,080
= $95, 920
The net profit margin percentage is:
= Net income / total revenue
= 95, 920 / 497, 600
= 19.3%
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Make a list of all possible rational zeros of f(x)=5x^3+7x^2−81x+45, and then use this list to find all of the functions’ rational zeros, if any exist.
Rational Zero Candidates: ±
Rational Zeros:
The zeroes of the polynomial are x=3, x=-5 and x=3/5
What are Zeroes of the polynomial?The locations where a polynomial becomes zero overall are known as the zeros of the polynomial. The term "zero polynomial" refers to a polynomial with a value of zero . The highest power of the variable x is referred to as a polynomial's degree. A linear polynomial is a polynomial with degree 1.
Given:
f(x)=5x³+7x²−81x+45.
let us take x= 3
5(27)+7(9)-81(3)+45
=135+63-243+45
= 243-243
=0
So, 3 is a root of polynomial and x-3 is factor of Polynomial.
Now, divide 5x³+7x²−81x+45 by x-3 we get 5x²+22x-15
Now, factorise 5x²+22x-15.
= 5x²+25x-3x-15
= 5x( x+ 5) - 3(x+ 5)
= (5x - 3)( x+ 5)
Then, x= 3/5 and 5
Hence, the zeroes of the polynomial are x=3, x=-5 and x=3/5
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Nakeisha is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Nakeisha will earn $30 every time one of her songs is played in a commercial and she will earn $110 every time one of her songs is played in a movie. Nakeisha's songs were played on 2 more commercials than movies, and her total earnings on the royalties from all commercials and movies was $760. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Nakeisha's songs were played. Define the variables that you use to write the system. Please help this is due tonight!!!
Answer:
z = 30x + 110y
x = y + 2
z = royalties
x = no of commercial
y = no of movies
Please help I was sick and missed out on class.Thank you
Answer:
Y= -1.67x + 0.67
Step-by-step explanation:
Hope this was ok
What is the value of the expression m - when m = 3?
1/15
13/15
23/15
The value of the expression when m = 3 is 13/15. So option(2) is correct.
The equation is defined in its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, x + 3 = 4 is an equation, in which x + 3 and 4 are two expressions separated by an 'equal' sign.
Given the expression as shown below:
2/5 m - 1/3
If m is equal to 3, then the expression will be;
2/5(3) - 1/3
6/5 - 1/3
Find the LCM
6/5 - 1/3 = 3(6)-5/15
6/5 - 1/3 = 18-5/15
6/5 - 1/3 = 13/15
Therefore the value of the expression if m = 3 is 13/15
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5–3 3/5 ÷ (–3– –3 3/4)
Answer:
[tex]0.2[/tex]
Step-by-step explanation:
... .. ... .. .
Solve the equation without using a calculator
[tex]\displaystyle\\3^\frac{x+2}{3x-4}-2\cdot3^\frac{5x-10}{3x-4}=7[/tex]
Answer:
x = 2=========================
Rewrite(5x - 10)/(3x - 4) = (6x - 8 - x - 2)/(3x - 4) = 2 - (x + 2)/(3x - 4)Substitute[tex]3^{(x + 2)/(3x - 4)} = t[/tex]New equationt - 2·9/t = 7t - 18/t = 7t² - 7t - 18 = 0t² - 9t + 2t - 18 = 0t(t - 9) + 2(t - 9) = 0(t - 9)(t + 2) = 0t - 9 = 0 and t + 2 = 0t = 9 and t = - 2 (excluded as the power of 3 can't be negative)Substitute back[tex]3^{(x + 2)/(3x - 4)} = 9[/tex][tex]3^{(x + 2)/(3x - 4)} = 3^2[/tex][tex](x + 2)/(3x - 4) = 2[/tex][tex]x + 2 = 6x - 8[/tex][tex]6x - x = 2 + 8[/tex][tex]5x = 10[/tex][tex]x = 2[/tex]
ABC is a straight line. The length AB is five times the length BC . AC= 90CM. Work out the length AB
Answer:
AB = 75cm
Step-by-step explanation:
Let BC equal x. Then AB is 5x because it is 5 times as long.
The whole length is 90, that was given.
Add the pieces, 5x and x, and set them equal to 90.
Solve the equation. See image. Last, calculate AB.
see image.
Write an equation for the quadratic graphed below:
x-intercepts: (-3,0) and (1,0); y-intercept: (0,-3)
Answer:
y = (x + 3)(x - 1) or y = x² + 2x - 3Step-by-step explanation:
Quadratic equation:
y = a(x - p)(x - q), where a - constant, p and q - x-intercepts.Substitute p and q:
y = a(x - (-3))(x - 1)y = a(x + 3)(x - 1)Find the value of a, using the y-intercept:
- 3 = a(0 + 3)(0 - 1)- 3 = a*3*(-1)-3 = - 3aa = 1The equation is:
y = (x + 3)(x - 1)or
y = x² + 2x - 3a waste bin is in the shape of a cylinder. the diameter of the base is 20cm and the height is 25cm. what is the volume of the bin. please help me with the answer.
Answer:
[tex]250\pi[/tex] cm³
Step-by-step explanation:
If the radius is 20 cm, the diameter is 10 cm.
Thus, the volume is [tex]\pi(10^2)(25)=250\pi[/tex] cm³.
15) Set up an equation and solve using a FULL sentence.
Erlena has $250. She saves $75/month. Jabril has $400. He
saves $50/month. When will they have the same amount?
How much will each of them have at that time?
By 6 months both of them have same amount
Each of them have $700 at that 6 months.
What is an equation?In French, an equation is defined as having one or more variables, whereas in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign.
Unknowns are the variables for which the equation must be solved, and equation solutions are the values of the unknowns that satisfy the equality.
Given that, Erlena has $250 and she saves $75/month then,
The equation is,
250+75x
And also given that, Jabril has $400 and he saves $50/month then,
The equation is,
400+50x
250+75x=400+50x
150=25x
x=6
By 6 months they have same amount
250+75(6)=700
400+5(6)=700
They both have $700 at that 6 months
Therefore, By 6 months both of them have same amount
Each of them have $700 at that 6 months.
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Turn into vertex form x^2= 9x-20
The vertex form of the given equation is (x - 9/2)² - 1/4
Vertex form
The general vertex form is written as
y = a (x - h)² + k
Where, a, h, and k are real numbers, where a ≠ 0.
And x and y are variables where (x, y) represents a points.
Given,
Here we have the equation x² = 9x - 20
Now, we have to convert this equation into vertex form.
In order to convert this into vertex form, first we have to rewrite the given equation as follows:
=> x² - 9x + 20 = 0
Here the coefficient of the x is 9, so now we divide this by 2 :
=> 9 ÷ 2 = 9/2
And then we have to square it (9/2) ² then we get the value 81/4.
So we add and subtract 81/4, then we get,
=> x² - 9x + 81/4 - 81/4 + 20 = 0
Now, we have to rewrite it as,
=> [x² - 9x + 81/4] + [-81/4 - 20]
When we simplify it then we get,
=> (x - 9/2)² - 1/4
Therefore, the vertex form of the equation is (x - 9/2)² - 1/4.
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NO LINKS!! Please help me with this symmetry. Select all that apply.
We are looking for the functions which are symmetric with respect to the y-axis.
This should be an even function with the vertex on the y-axis.
All functions of odd degree or restricted domain or range are excluded:
Lines, cubic functions, square root or exponent functions.Possible symmetric functions:
Quadratic, 4th degree etc., absolute value, circles with center on the y-axis.See the attached. Those with red cross are excluded, with green mark are correct choices.
Answer:
[tex]y=-7x^2[/tex]
[tex]y=8x^2-3[/tex]
Step-by-step explanation:
Functions are symmetric with respect to the y-axis if for every point (a, b) on the graph, there is also a point (-a, b) on the graph:
f(x, y) = f(-x, y)To determine if a graph is symmetric with respect to the y-axis, replace all the x's with (−x). If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the y-axis.
Therefore, any function that includes the term x² will be symmetric with respect to the x-axis since (-x)² = x².
[tex]\begin{aligned}&\textsf{Given}: \quad& y&=-7x^2\\&\textsf{Replace $x$ for $(-x)$}: \quad& y&=-7(-x)^2\\&\textsf{Simplify}: \quad &y&=-7x^2\\\end{aligned}[/tex]
Therefore, since the resultant expression is equivalent to the original expression, it is symmetric with respect to the y-axis.
[tex]\begin{aligned}&\textsf{Given}: \quad& y&=8x^2-3\\&\textsf{Replace $x$ for $(-x)$}: \quad& y&=8(-x)^2-3\\&\textsf{Simplify}: \quad &y&=8x^2-3\\\end{aligned}[/tex]
Therefore, since the resultant expression is equivalent to the original expression, it is symmetric with respect to the y-axis.
i thought of a two-digit number.the digits of my number are different. the units digit f my number is the tens digit raised to the third power. what is my number?
Answer:
28
Step-by-step explanation:
[tex] {2}^{3} = 8[/tex]
The units digit (8) is the tens digit (2) raised to the third power.
Suppose that a particular medical procedure has a cost that is normally distributed with a mean of $19,800 and a standard deviation of $2900. What is the maximum cost that a patient would pay if he is in the lowest 4% of all paying patients?
Select one:
A) $24,875
B) $19,684
C) $14,725
D) $792
The maximum cost that a patient would pay if he is in the lowest 4% of all paying patients is C) $14,725.
How to calculate the cost?Given that
mean = $19800
standard deviation = $2900
Using standard normal table ,
P(Z < z) = 4%
P(Z < z) = 0.04
P(Z < -1.75) = 0.04
z = -1.75
Using z-score formula,
x = z * standard deviation + mean
x = -1.75 * 2900 + 19800 = 14725
The maximum cost is $14725
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A coach can take 40 passengers.how many passenger can be carried by 18 coaches
Shirley buys a piece of remnant fabric that is triangular in shape with a base length of 2 yd and a height measuring one half yd. If the fabric sells for $4.50 per square yard, how much does Shirley pay for the piece of fabric?
Answer:
the 2 x 0.5 triangle fabric piece cost $2.25
Step-by-step explanation:
Area of a triangle = 1/2 x base x heightbase: 2 yardsheight: 0.5 yards Area of fabric: 1/2 x 2 x 0.5 = 0.5 yards squaredPrice per square yard: $4.50Actual price: $4.50 / 2 = $2.25Find the slope of the table below.
Answer: 10
Step-by-step explanation:
To find the slope, we will take two points and find the change in y over change in x.
[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{35-15}{3-1}=\frac{20}{2} =10[/tex]
The slope of the table is 10.
What kind of relationship is expressed below?
5i+3=7
The relationship for the expressed value will be an equation, as there is equal sign in between the expression.
What is an equation?
Two or more expressions with an equal sign is called an equation.
As in given expressed value two expressions are equated with equal sign,
5i+3=7
Here, Left hand side is equal to Right hand side.
Also have Equal sign.
Whereas in expression, there will be no equal sign,
only - variables, operators and numeric values.
For Function, expression is equated to F(variable).
Hence, equation is the relationship for 5i+3=7.
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The vertices of a triangle are p(-1,4) Q (8,-3) and R(2,-6) Name the vertices of R y-x (PQR)
The reflection of the points P(-1, 4), Q(8, -3) and R(2, -6) across the line y = x are P'(1, -4), Q'(-8, 3) and R'(-2, 6).
First, let us understand the reflection of a point:
The reflection of a point or set of points across the line y = x results in a point or set of points whose coordinates are the interchange of the x-value and the y-value of the original point or set of points.
We are given:
The vertices of a triangle are P(-1, 4), Q(8, -3) and R(2, -6).
We need to find the reflection of the points across the line y = x.
So,
P(-1, 4) = P'(1, -4)
Q(8, -3) = Q'(-8, 3)
R(2, -6) = R'(-2, 6)
Thus, the reflection of the points P(-1, 4), Q(8, -3) and R(2, -6) across the line y = x are P'(1, -4), Q'(-8, 3) and R'(-2, 6).
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