Question
The average daily balance of a credit card for the month of December was $5600, and the unpaid balance at the end of the
month was $6900. If the monthly interest rate is 2.5% of the average daily balance, what is the total balance on the next
billing date January 1? Round your answer to the nearest cent. Do not use commas to separate numbers or dollar signs. For
example, $5, 678.00 should be entered as 5678.00.
Answers
Answer:
The first step is to determine the amount of interest charged for the month of December based on the average daily balance:
Average Daily Balance = $5600
Monthly Interest Rate = 2.5%
Interest Charged for December = Average Daily Balance * Monthly Interest Rate * Number of Days in December
Number of days in December is 31.
Interest Charged for December = $5600 * 0.025 * 31 = $4340.00
The total balance on the credit card on January 1 will be the sum of the unpaid balance at the end of December and the interest charged for December:
Total Balance on January 1 = Unpaid Balance at End of December + Interest Charged for December
Total Balance on January 1 = $6900 + $4340.00
Total Balance on January 1 = $11240.00
Rounded to the nearest cent, the total balance on the next billing date January 1 is $11,240.00.
The nearest cent, the total balance on the next billing date, January 1, is $12640.00.
To calculate the total balance on the next billing date, we need to consider the average daily balance for December, the unpaid balance at the end of December, and the monthly interest rate.
The monthly interest rate is 2.5% of the average daily balance. Let's calculate the interest charged for the month of December:
Interest charged = (2.5/100) * Average daily balance
= (2.5/100) * $5600
= $140
Next, let's calculate the total balance on the next billing date, January 1:
Total balance = Average daily balance + Interest charged + Unpaid balance
= $5600 + $140 + $6900
= $12640
Rounded to the nearest cent, the total balance on the next billing date, January 1, is $12640.00.
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Related Questions
a six sided cube with the letters s,o,l,v,e,d is rolled twice. what is the probability of rolling two consonants? express as a fraction in simplest form.
Answers
There are 6 possible outcomes for each roll of the cube, since there are 6 letters on the cube. Out of the 6 letters, there are 3 consonants (S, L, V) and 3 vowels (O, E, D).
To find the probability of rolling two consonants, we need to multiply the probability of rolling a consonant on the first roll (3/6) by the probability of rolling a consonant on the second roll (also 3/6), since the rolls are independent events.
(3/6) * (3/6) = 9/36 = 1/4
Therefore, the probability of rolling two consonants is 1/4, which can also be expressed as 25%.
a/(a−b)(a−c)+b/(b+c)(b−a)b+c/(a−c)(b−c)
Answers
Answer:
a^2-ac/a-b + b^3-b^2*a/b+c + bc-c^2/a-c
Step-by-step explanation:
There are 3 teaspoons in a tablespoon. There are 10 16 times more teaspoons in a cup. How many teaspoons are in a cup?
Answers
One of the requirements for becoming an associate scientist in a certain lab is the ability to accurately process 100 specimen slides per hour. Ibragim can currently process 65 slides per hour and believes that with practice he can increase his processing speed by 2 slides per hour each week. Which of the following represents the number of slides per hour that Ibragim believes he will be able to process w weeks from now?
Answers
The number of slides per hour that Ibragim believes he will be able to process w weeks from now is represented by the following calculation: 65 + 2w.
What is number?Number is an abstract concept used to describe a quantity or amount. It can refer to a countable quantity of objects, or it can refer to an abstract concept such as size, direction, or position. In mathematics, number is used as a way of measuring and describing a quantity or amount. It is used to represent quantities in equations and formulas, to compare quantities, and to measure and compare distances. Number is also used to represent relationships between different objects, such as in geometry where angles, lines, and points are all represented by numbers.
This equation shows that Ibragim's slides per hour processing speed will increase by 2 for each week that passes. For example, if Ibragim practises for 4 weeks, his slides per hour processing speed will have increased from 65 to 73. This is because 65 + (2 x 4) = 73. Therefore, if Ibragim practises for w weeks, then the number of slides per hour he believes he will be able to process will be 65 + 2w.
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The expression 65 + 2w represents the number of slides per hour that Ibragim believes he will be able to process w weeks from now. This expression can be used to calculate the number of slides per hour that Ibragim believes he will be able to process after any number of weeks of practice.
What is number?Number is an abstract concept used to describe a quantity or amount. It can refer to a countable quantity of objects, or it can refer to an abstract concept such as size, direction, or position. In mathematics, number is used as a way of measuring and describing a quantity or amount. It is used to represent quantities in equations and formulas, to compare quantities, and to measure and compare distances. Number is also used to represent relationships between different objects, such as in geometry where angles, lines, and points are all represented by numbers.
The number of slides per hour that Ibragim believes he will be able to process w weeks from now is given by the expression 65 + 2w. In this expression, 65 represents the number of slides per hour that Ibragim can currently process, and 2w represents the number of slides per hour that Ibragim believes he can increase his processing speed by each week.
For example, if Ibragim believes he will be able to process slides at a rate of 100 per hour after 6 weeks of practice, then the expression would be 65 + 2(6) = 77. This means that Ibragim believes he will be able to process 77 slides per hour after 6 weeks of practice. In general, if w represents the number of weeks of practice, then the expression 65 + 2w represents the number of slides per hour that Ibragim believes he will be able to process w weeks from now.
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Complete questions as follows-
Asher is interviewing for a job as an elementary school teaching assistant. The interviewer notices that he is very friendly, kind, and calm. In terms of context, what might the interviewer think about Asher?
a
Asher comes off as though he is hiding something.
b
Asher has personality traits that are a great fit for this type of job.
c
Asher should be hired as a principal instead of a teaching assistant.
d
Asher would be a better fit as a maintenance worker at the school.
Answers
B) Asher has personality traits that are a great fit for this type of job,
as being friendly, kind, and calm are desirable traits for a teaching assistant working with young children.
someone please help :,)) (picture attached) click question to see photo
Answers
Answer:180 square inches
Step-by-step explanation:
18*6+9*8=180
W(4y-4)
Z
52°
Y
14
3y
X
Answers
Check the picture below.
[tex]52=(4y-4)+(3y)\implies 52=76-4\implies 56=7y \\\\\\ \cfrac{56}{7}=y\implies \boxed{8=y} \\\\\\ \stackrel{\measuredangle W}{4y-4}\implies 4(8)-4\implies \text{\LARGE 28}[/tex]
An interior angle of a regular polygon measures 140 degrees how many sides does the polygon have
Answers
Interior angle = (n-2) x 180° / n
where n is the number of sides of the polygon.
We are given that one of the interior angles measures 140 degrees. Therefore, we can set up the equation:
140 = (n-2) x 180° / n
To solve for n, we can first cross-multiply to eliminate the fraction:
140n = (n-2) x 180°
Distribute the 180° term:
140n = 180n - 360°
Add 360° to both sides:
140n + 360° = 180n
Subtract 140n from both sides:
360° = 40n
Divide both sides by 40:
n = 9
Therefore, the regular polygon has 9 sides.
I will give brainliest to whoever answers this correctly, Answer is not x=0.1
Answers
The value of x in the infinite geometric series, x = (7 ± i√107) / 26.
What is the value of xWe can start by simplifying the left-hand side of the equation:
-1 + 1/x + x + x² + ...+ xⁿ + ...
= -1 + (1/x) * (1/(1 - x))
Using the formula for the sum of an infinite geometric series:
1 + r + r² + ... = 1/(1 - r) for |r| < 1
We can simplify the left-hand side further:
= -1 + (1/x) * (1/(1 - x))
= -1 + (1/(x - x²))
Now we have:
-1 + (1/(x - x²)) = 10/3
Multiplying both sides by 3(x - x²), we get:
-3(x - x²) + 3 = 10(x - x²)
Simplifying, we get:
13x² - 7x + 3 = 0
Using the quadratic formula, we can solve for x:
x = (7 ± √(7² - 4133)) / (2*13)
x = (7 ± i√(107)) / 26
Since the expression is defined only for |x| < 1, we can discard the solution with the plus sign, leaving:
x = (7 - √(-143)) / 26
x = (7 - 3i√13) / 26
Therefore, the solution for x is x = (7 ± i√107) / 26.
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(1x10⁶) - (8x10⁴) I'm scientific notation
Answers
Answer: 9.2 x 105
Step-by-step explanation:
Question 9 Explain work
Answers
The condition that proves congruent of two given triangles ΔDEF ∼ ΔJKL would be option (a) DE : JK = 3:1 but ratio value in option is given wrong.
What is the congruent triangle?In this case triangle in congruent when two sides and one angle of first triangle is equal to two sides and one angle of second triangle.
we have given proof two triangles congruent by the postulate of SAS.
Since two corresponding sides of these triangles are congruent and one angle is also congruent. So to prove both the triangles congruent.
∠EDF ≅ ∠KJL will complete the SAS property to prove both the triangles are congruent.
DE : JK
= 21 : 7
= 3 : 1
So, DE: JK = 3:1 is answer.
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Two brothers drove home together from a trip. Kevin drove for 12 hours at a average speed of 65 per hour. Jeffery drove 24 hours at an average speed of 60 miles per hour. What is the total number of miles driven by the two brothers?
Answers
The total number of miles driven by the two brothers is 2,220 miles.
What is the total number of miles driven?Average speed is the ratio of total distance and time. It measures how fast an object is moving with respect to time.
Average speed = distance / time
In order to determine the formula for distance from the formula of average speed, multiply both sides of the equation by time.
Distance = time x average speed.
The distance that Kevin covered = 65 x 12 = 780 miles
The distance that Jeffery covered = 60 x 24 = 1440 miles
The total distance is the sum of the distance covered by Kevin and the distance covered by Jeffery.
Total distance = 1440 + 780 = 2,220 miles
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please answer the question
Answers
a.) The area covered by algae for 10 days after it was spotted would be = 35.7 m²
How to calculate the area covered by the algae after 10 days?The area covered by the algae when it was first spotted = 12.5 m²
For every week(7 days) = 2(12.5)
But 10 days = x
Make X the subject of formula;
X = 10× 2(12.5)/7
X = 250/7
X = 35.7 m²
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Ivan bought a desk on sale for $179.20. This price was 32% of the original price.
Answers
Answer:
Below
Step-by-step explanation:
I suppose you are looking for the ORIGINAL price
x = original
32% is .32 in decimal
so .32 * x = $ 179.20
x = 179.20/.32 = $ 560.
4. A certain radioactive material is known to decay at a rate proportional to the amount present. A block of this material originally having a mass of Qograms is observed, after 24hrs, to have experienced a reduction in mass of 10%. Find an expression for the mass of the block at any time.
Answers
Therefore , the solution of the given problem of expressions comes out to be Q = Q0 e(ln(0.9)/24)t this is the formula for the block's mass at any moment t.
Explain expression.Calculations such as joining, random subdivision, variable multiplier, and elimination are required. They would accomplish the following if they were united: An algorithm, some information, and a mathematical equation. Numerical information, formulas, elements, and arithmetic operations like additions, erasures, errors, and categories are all included in a declaration of truth. Words and phrases can be evaluated and analysed.
Here,
Let's write Q for the radioactive material's mass at any moment t. (t). We can write: Because the substance decays at a rate proportional to its mass.
=> -kQ = dQ/dt
where k is a measure of ratio. This first-order differential equation can be solved by separating the variables, and it is separable:
=>-k dt Equals dQ/Q
By combining both parts, we obtain:
=>Q = -kt + C, where
where C is the integration constant. We can use the original assumption that the material has a mass of Q grammes at time t = 0 to determine C:
=> ln(Q) = C
When we add this to the prior solution, we obtain:
=> Q = -kt + ln, where (Q0)
where Q0 is the starting mass of the material.
=> 0.9Q0 = Q(24) = Q0 e^(-k*24)
After finding k, we obtain:
=> k = ln(0.9)/(-24) (-24)
Using this value of k as a substitute in the preceding equation, we obtain:
=> (ln(0.9)/24)t - ln(Q) + ln (Q0)
If we simplify, we get:
=> Q = Q0 e(ln(0.9)/24)t
This is the formula for the block's mass at any moment t.
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Which of the following is the same as 8(9+2)?
8*9+8
8*9+2
8*9+8*2
9(8+2)
2(8+9)
Answers
Answer:
The third one
Step-by-step explanation:
if you look at it, and actually solve it its 88.
The following table represents measurement of the height of a bean sprout:
Days after sprout
was planted 7 9 11 13
Height of sprout
in inches 3 4.5 6 7.5
Create a linear equation to represent this situation. According to your equation, how tall will the sprout
be after 14 days?
Answers
The linear equation representing the situation is y = 0.75x - 2.25, and according to this equation, the height of the sprout after 14 days would be 8.25 inches.
To create a linear equation that represents the relationship between the height of the bean sprout and the number of days after planting.
Therefore, the slope of the line is:
slope = change in height / change in days = (7.5 - 3) / (13 - 7) = 1.5
The intercept of the line can be found by substituting one of the data points into the point-slope form of a line:
y - y1 = m(x - x1)
where m is the slope, x1 and y1 are the coordinates of one of the data points. We choose the first data point (7, 3):
y - 3 = 1.5(x - 7)
y - 3 = 1.5x - 10.5
y = 1.5x - 7.5
Therefore, the linear equation that represents the relationship between the height of the bean sprout (y) and the number of days after planting (x) is:
y = 1.5x - 7.5
To find the height of the sprout after 14 days, we substitute x = 14 into the equation:
y = 1.5(14) - 7.5
y = 10.5
Therefore, the height of the sprout after 14 days is predicted to be 10.5 inches.
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l-80-20l – 100 + l-100l = ???
Answers
Step-by-step explanation:
We can simplify the given expression using the rules of absolute values:
l-80-20l – 100 + l-100l
= -(20l + 80) - 100 + 100 (since |x| = -x when x is negative)
= -20l - 80
= -20(l + 4)
Therefore, the simplified expression is -20(l + 4).
Answer:
100
Step-by-step explanation:
[tex] | - 80 - 20| - 100 + | - 100| \\ = | - 100| - 100 + | - 100| \\ = 100 - 100 + | - 100| \\ = | - 100| \\ = \boxed{100}[/tex]
____________
hope it helps!
1. Write the equation of the circle, (x-2)²+(y-5)²=7² in general form.
Answers
Answer:
The equation in general form is x² + y² - 4x - 10y - 20 = 0
Answer:
x² + y² - 4x - 10y - 20 = 0
Step-by-step explanation:
The general equation of circle is
x² + y² + ax + by + c = 0
where a, b and c are constants
To convert the standard form of the equation (x - 2)² + (y - 5)² = 7² into general form, expand the squares and the constant on the right side and adjust the terms to have 0 on the right side
(x - 2)² = x² - 4x + 4
(y - 5)² = y² - 10y + 25
7² = 49
(x - 2)² + (y - 5)² = 7²
= x² - 4x + 4 + y² - 10y + 25 = 49
Subtract 49 from each side to get 0 on the right:
x² - 4x + 4 + y² - 10y + 25 - 49 = 0
Simplify the constant terms
4 + 25 - 49 = 29 - 49 = -20
Required equation is
x² + y² - 4x - 10y - 20 = 0
whats the answer please
Answers
Therefore, y = 7x + 2/5, 7x + 5 = y, and y = 7x + 4 are the equations that depict a line parallel to y = 7x + 3.
what is equation ?A mathematical statement known as an equation demonstrates the equality of two expressions or values by separating them with an equal symbol. The values on either side of the equal symbol in an equation are equal and can be used to find the value of an unknown variable. For instance, the equation "2x + 3 = 7" states that "2x + 3" equals the number "7".
given
Since parallel lines have identical slopes, the equation of a line that is perpendicular to y = 7x + 3 will have the same slope as 7.
Any equation of the form y = 7x + b, where b is a constant, will therefore indicate a line parallel to y = 7x + 3.
y = 3x + 7: This line's slope, 3, is less than 7, so it is not parallel to the line y = 7x Plus 3.
y = 7x + 2/5: This line is parallel to y = 7x + 3 because it has the same slope as that equation.
7x + 5 = y: This equation is parallel to y = 7x + 3 because y = 7x + 5 has the same slope as it.
y = 7 + 3x is not parallel to y = 7x + 3 because it has the same slope as the solution y = 3x + 7, which does not equal 7.
Therefore, y = 7x + 2/5, 7x + 5 = y, and y = 7x + 4 are the equations that depict a line parallel to y = 7x + 3.
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The complete question is:- Choose all the equations below that represent a line parallel to
y=7x+3
y=3x+7 y=7x+2/5
7x+5=y
y=2x+3
y=4+7x y=3-7x
y+7x=3 y=7+3x
Which trinomials are prime?
Choose all answers that are correct.
x² + 4x-21
x²-5x-2
x² + 3x + 7
x²-x-1
Answers
Answer:
Step-by-step explanation:
x² + 4x-21
x²-5x-2
x² + 3x + 7
x² + 4x-21
x²-5x-2
x² + 3x + 7
x²-x-1
x²-x-1
Need help asap!
Solve the following system of equations and show all work. y = −x2 + 4 y = 2x + 1
Answers
Answer:
The solutions to the given system of equations are:
x = 1, y = 3x = -3, y = -5Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}y=-x^2+4\\y=2x+1\end{cases}[/tex]
To solve the given system of equations, substitute the second equation into the first equation:
[tex]\implies 2x+1=-x^2+4[/tex]
Add x² to both sides:
[tex]\implies x^2+2x+1=4[/tex]
Subtract 4 from both sides:
[tex]\implies x^2+2x-3=0[/tex]
Factor the quadratic equation:
[tex]\implies x^2+3x-x-3=0[/tex]
[tex]\implies x(x+3)-1(x+3)=0[/tex]
[tex]\implies (x-1)(x+3)=0[/tex]
Apply the zero product property:
[tex](x-1)=0 \implies x=1[/tex]
[tex](x+3)=0 \implies x=-3[/tex]
Substitute the found values of x into the second equation and solve for y:
[tex]x=1 \implies y=2(1)+1=3[/tex]
[tex]x=-3 \implies y=2(-3)+1=-5[/tex]
Therefore, the solutions to the given system of equations are:
x = 1, y = 3x = -3, y = -5You participate in a 5K competitive race. Which Z-score would you prefer to have compared to your competitors for the time it took you to complete the race?
Answers
The z-scοre is prefer tο have cοmpared tο yοur cοmpetitοrs fοr the time it tοοk yοu tο cοmplete the race is -2.50.
What is z-scοre?When a value is given a Z-scοre, it shοws hοw far οff frοm the standard deviatiοn it is. The amοunt οf standard deviatiοns a given data pοint is abοve οr belοw the mean is represented by the Z-scοre, alsο knοwn as the standard scοre. The level οf variability within a particular data cοllectiοn is effectively reflected in the standard deviatiοn.
We knοw that ,
=> z=(x-µ)/σ
If we have z scοre less it means we cοmplete the race in less time as cοmpare tο οthers.
Sο, z scοre -2.50 is least as per given all the οptiοns. sο ,we wοuld yοu prefer -2.50 cοmpared tο οur cοmpetitοrs fοr the time it tοοk yοu tο cοmplete the race.
Hence the z-scοre is -2.50.
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simplify the expression, 23.5 - 2.4 (3.9 - 8.6 ) + 4.4
Answers
23.5-2.4x(-4.7)+4.4
=23.5-(-18.5)+4.4
23.5+18.5+4.4
=46.5 ans#
Need help on multiple choice question
Answers
which of the following statements are not true? check all that apply.
Answers
Answer:
A
b
D
Step-by-step explanation:
The sun revolves around the Earth." Statements 1 and 4 are true.
As the question asks for statements that are not true, I will go through each statement and determine if it is true or false. Statement 1: "Water boils at 100 degrees Celsius."
This statement is true. Water boils at 100 degrees Celsius at sea level under normal atmospheric conditions.
Statement 2: "The moon is made of cheese." This statement is not true. The moon is not made of cheese. It is primarily composed of rock and does not contain any dairy products.
Statement 3: "The sun revolves around the Earth." This statement is not true.
The Earth revolves around the sun in an elliptical orbit. The concept that the Earth is at the center of the solar system and the sun revolves around it was disproven by the heliocentric model proposed by Nicolaus Copernicus in the 16th century.
Statement 4: "Gravity only exists on Earth." This statement is not true. Gravity exists everywhere in the universe. It is a fundamental force that attracts objects with mass towards each other.
While the strength of gravity may vary depending on the mass of the objects and their distance apart, it is present throughout the universe.
To summarize, the statements that are not true are: 2. "The moon is made of cheese." 3. "The sun revolves around the Earth." Statements 1 and 4 are true.
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How do I correctly simplify the expression and where did the student go wrong?
Answers
Part A: The student that simplified the give trigonometrical identity expression incorrectly is student B.
Part B: The correct complete solution is shown below
Simplifying Trigonometrical identities expressionsFrom the question, we are to determine the student that simplified the expression incorrectly.
Part A:
The student that simplified the expression incorrectly is student B.
The student is went wrong in step 3.
From step 2, the student divided (1 + tan²θ) by (tanθ/cotθ). The student is supposed to divide [(1 + tan²θ)/tanθ] by cotθ
Part B:
The correct solution is shown below
[(1 + tan²θ)/tanθ] ÷ cotθ
(sec²θ/tanθ) ÷ cotθ
Which can be written as:
(sec²θ/tanθ) ÷ 1/tanθ
Then,
(sec²θ/tanθ) × tanθ/1
= sec²θ/1
= sec²θ
Hence, the correct simplified expression is sec²θ
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I'LL MARK THE BRAINLIEST
What is the exact circumference of the circle?
Answers
Answer: c=2πr
Step-by-step explanation:
because im just that guy
Answer:
c=62.8
Step-by-step explanation:
diameter=20
radius=10
c=2πr
c=2×22/7×10
c=62.8
)) The players on Matthew's soccer team each bring a water bottle with them to practice.
For a statistics project, Matthew asked each player how much water his bottle held. This box
plot shows the results.
12
Water bottle volume (oz.)
Submit
20
16
4) What fraction of the water bottles held at least 24 ounces?
24
28
32
Please help rn
Answers
The fraction of the water bottles that has at least 24 ounces is 1/4.
What fraction of the water bottles held at least 24 ounces?A box plot is a graph that is used to show the distribution and level of a set of scores. The scores are distributed into 4 groups. Each group has a value of 25%
24 represents the third quartile of the dataset. The third quartile represents 75% of the dataset. A third quartile value of 24 means that at most 3/4 (75%) of the dataset has a value that is at most 24 and 1/4 or 25% of the dataset has a value that is at least 24.
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the foot m and n of two vertical poles MT and NK are in line with a point D on the same horizontal level ground.Mt and NK are 8cm and 12cm respectively, M lies between D and N is 30m from d.the angle of elevation of k from t is 40: calculate 1.distance KT,2.distance dn correct to two significant figures 3.angles of elevation of k from d correct to two decimal places
Answers
The distance KT and angle of elevation of the pole's top, K, with respect to the ground, D, are;
KT is about 6.2 cm
DN = 30 m
The angle of elevation of K from D is 0.23°
What is an angle of elevation?The angle created between a horizontal line and the line of sight of a viewer gazing up at an object is known as the angle of elevation.
The two vertical poles are MT and NK
The height of MT = 8 cm
The height of NK = 12 cm
From the top of the pole MT, point T, to the top of the pole NK, point K, there is a 40-degree elevation difference.
The poles' height differences are 12 cm - 8 cm, or 4 cm.
The distance KT can be found as follows;
Therefore;
sin(40°) = 4/KT
KT = 4/(sin(40°)) ≈ 6.2
The distance KT is approximately 6.2 cm
According to the information in the question, the distance is DN = 30 m.
The base of the poles MT and NK is on the same level ground as point D.
ND=30m
Hence, the trigonometric ratio for tangent may be used to get the angle of elevation,, of the top of the pole NK, (point K), from D as follows;
tan(θ) = NK/ND
tan(θ) = (12 cm)/(30 m) = 0.12/30 = 0.004
θ = arctan(0.004) ≈ 0.23°
K is elevated from d at an angle of roughly 0.23°.
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