The balance on a credit card, that charges a 15.5%
APR interest rate, over a 1 month period is given in
the following table:
Days 1-3: $200 (initial balance)
Days 4-20: $300 ($100 purchase)
Days 21-30: $150 ($150 payment)
What is the finance charge, on the average daily
balance, for this card over this 1 month period?
finance charge = $ [?]
Round to the nearest hundredth.
Enter
4
Answers
Finance charge = $93.00
What is finance charge of credit card?The interest you'll pay on a loan is defined as a finance charge, and it's most commonly used in the context of credit card debt. A financing fee is computed by taking your annual percentage rate, or APR, the amount you owe, and the time period into account.
Given that,
Interest rate = 15.5%
Date: 1-3 (3 days)
Average daily balance = amount paid × days
= $200 × 3 = $600
Date: 4-20 (17 days)
Average daily balance = amount paid × days
= $300 × 17 = $5100
Date: 21-30 (10 days)
Average daily balance = amount paid × days
= $150 × 10 = $1500
So, total average daily balance for the month
= $(600+5100+1500)
= $7200
Now, the finance charge = $7200 × (15.5÷12)
= $93.00
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Related Questions
HELP I GIVE BRAINLIEST!!!!!
Answers
Drop Down 1
(2 in)(10 ft/1 in) = 20 ft
Drop Down 2
This means the scale factor is 1:2, and thus the new length will be 3 inches.
Find the equation (in terms of xx ) of the line through the points (-4,1) and (5,-3)
Answers
EXPLANATION
Given two points of a line, we can find the the equation of that line using the steps below:
• Step 1
Determine the slope of the line, using the formula below:
[tex]\text{slope(m)}=\frac{y_2-y_1}{x_2-x_1}[/tex]The points given are (-4, 1) and (5, -3). This implies that the coordinates are
x₁= -4 y₁=1 x₂=5 y₂=-3
Substitute the values into the formula and simplify.
[tex]m=\frac{-3-1}{5+4}=-\frac{4}{9}[/tex]• Step 2
Determine the y-intercept(b) of the line.
Substitute x₁= -4 y₁=1 and m=-4/9 into y=mx + b and solve for intercept(b).
1 = (-4/9)(-4) + b
[tex]1=\frac{16}{9}+b[/tex]Subtract 16/9 from both-side of the equation.
[tex]b=1-\frac{16}{9}[/tex][tex]b=\frac{9-16}{9}=-\frac{7}{9}[/tex]The intercept (b) = -7/9
• Step 3
Form the equation by substituting the value of the slope and intercept into y=mx + b.
Hence, the equation of the line is:
[tex]y=-\frac{4}{9}x-\frac{7}{9}[/tex]List the first 6 multiples of 8
Answers
Answer: 8, 16, 24, 32, 40, 48
Step-by-step explanation:
because if you add all of those numbers up, that's what you get.
Answer:
8 - 16 - 24 - 32 - 40 - 48
Step-by-step explanation:
8 x 1 = 8
8 x 2 = 16
8 x 3 = 24
8 x 4 = 32
8 x 5 = 40
8 x 6 = 48
I will give brainliest, like and rating if u solve this right
If f(x) = x³+ 3x² + 4x + 5 and g(x) = 5, then g (f(x)) =_?
Answers
125 + 75 + 20 + 5 = 225
225 would be your answer. I am pretty sure this would be your answer, if not, please let me know!
Daniel and his three friends are sharing the cost of a pizza. The pizza costs $13.00. If Daniel has
$5.00, how much will he have left after he pays his share?
Answers
Answer: 1.75
Step-by-step explanation:
13/4 = 3.25
5.00-3.25
1.75
Omar buys eggs and lemons at the store.
He pays a total of $26.10.
He pays a total of $6.30 for the eggs.
• He buys 6 bags of lemons that each cost the same amount.
How much does each bag of lemons cost?
Answers
Answer:
Each bag of lemons cost $3.30
Step-by-step explanation:
The equation will be
6x = 26.10 - 6.306x=26.10−6.30
Solve for x to get,
6x = 19.86x=19.8
x = 3.3x=3.3
Answer:
$3.30 for each bag of lemons
Step-by-step explanation:
We know that Omar only bought both lemons and eggs. We also know that the total amount of money he spent on groceries is $26.30 and that the eggs are worth $6.30 out of the total.
So, if we can subtract the cost of the eggs from his total cost of groceries to find how much the lemons cost. After that we can divide the cost of all the lemons, which is $19.80, by the number of bags, which is 6, to find how much each bag costs.
(26.10 - 6.30) / 6 = ?
19.8/6 = 3.30
Pedro has scores of 81, 80, 82, 88 after four tests. What score must he make on his fifth test to have an average of 76 or greater?
Answers
Answer:
he must make sure he gets up to 49 and higher to obtain an average of 76 or greater
Step-by-step explanation:
logically from 49 - 100 :)
(x + a)(x + 2)(3x + 1) = bx³ + cx² + dx - 10
Find the values of a, b, c and d.
Answers
If 343 is the third proportional of A and B, where a:b= 1:7 then the value of a+b will be
Answers
Hello, help me please)
Answers
olution:
iven;
[tex]\log_52x=3[/tex][tex]\log_52x=3[/tex]Applyin the power property of logarithm given as;
[tex]\log_ba=c\Leftrightarrow a=b^c[/tex]Thus;
[tex]\operatorname{\log}_52x=3\Leftrightarrow2x=5^3[/tex]Simplify further, we have;
[tex]\begin{gathered} 2x=5\times5\operatorname{\times}5 \\ \\ 2x=125 \end{gathered}[/tex]ivide both sides by 2;
[tex]\begin{gathered} \frac{2x}{2}=\frac{125}{2} \\ \\ x=\frac{125}{2} \end{gathered}[/tex]NSWER:
[tex]x=\frac{125}{2}[/tex]At the city museum, child admission is $6.00 and adult admission is $9.60. On Sunday, twice as many adult tickets as child tickets were sold, for a total sales of $630.00. How many child tickets were sold that day?
Answers
Answer:
25 child tickets and 50 adult tickets
Step-by-step explanation:
Let c be the number of child tickets and a be the number of adult tickets. We have this system of equations:
6.00c + 9.60a = 630.00
a = 2c
Substitute 2c for a in the top equation:
6.00c + 9.60(2c) = 630.00
6.00c + 19.20c = 630.00
25.20c = 630.00
c = 25, a = 50
To find the solution to |3x + 2|= 4, which two equations must you solve?
Answers
Answer:
YOU MUST SOLVE ---> |3x + 2|
Step-by-step explanation:
|3x + 2| = 4
-2 -2
3x = 4
x = 0.75
HOPE this HELPED
Sanjay uses 225 N of force to move a wheelbarrow 18 m at a velocity of 1.8 m/s. What was the amount of power used?
Answers
The amount of power used when Sanjay applied a force of 225N to move a wheelbarrow over the given distance at a velocity of 1.8m/s is 405 watts.
What was the amount of power used to move the wheelbarrow?Power is the quantity of energy transferred per unit time. The relationship between force, velocity and power is expressed aa;
P = F × v
Given the data in the question;
Force applied F = 225N = 225kgm/s²Distance moved s = 18mVelocity v = 1.8m/sPower = ?To find the amount of power used, plug the given values into the above formula and solve for P.
P = F × v
P = 225kgm/s² × 1.8m/s
P = 225kgm²/s³ × 1.8
P = 405kgm²/s³
Power P = 405W
Therefore, the amount of power used by Sanjay is 405 watts.
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if a population has a mean of 30, if 3 points are added to each score how do you calculate the mean for the new distribution
Answers
When the population has a mean of 30, if 3 points are added to each score, the mean for the new distribution is 33.
How to illustrate the information?It should be noted that mean simply means the average of a given set of numbers that are given. The entire group about whom you want to make conclusions is referred to as a population. The particular group from which you will gather data is known as a sample. The sample size is always smaller than the population as a whole. A population in research doesn't usually refer to humans.
In this case, the population has a mean of 30 a and 3 points are added to each score.
In this case, the new mean will be the addition of the numbers. This will be illustrated as:
= 30 + 3
= 33
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I have been stuck in this problem for 2 hours please help
Answers
We need to find the values of "x" and "y" from two triangles that are congruent. If the triangles are congruent it means that the corresponding angles are equal. This means that angle R and angle N are the same, and from the angle sum theorem w know that the interior angles of triangle QPR sum 180, that is mathematically:
[tex](9x-18)+84+\angle R=180[/tex]Since angle N is 3x+y, we replace that in the equation:
[tex](9x-18)+84+(3x+y)=180[/tex]Simplifying we get:
[tex]\begin{gathered} 12x+y+66=180 \\ 12x+y=180-66 \\ 12x+y=114,\text{ (1)} \end{gathered}[/tex]That gives us equation (1), but we need another equation since we have two variables. The other equation we get it from angles L and P, since this two angles must be equal. So we get the following equation:
[tex]4x+17=9x-18[/tex]Solving for "x", we get:
[tex]\begin{gathered} 4x-9x=-18-17 \\ -5x=-35 \\ x=-\frac{35}{-5}=7 \end{gathered}[/tex]The value of "x" is 7. Now we input this value in equation (1), like this:
[tex]\begin{gathered} 12x+y=114 \\ 12(7)+y=114 \\ 84+y=114 \end{gathered}[/tex]Solving for "y", we get:
[tex]\begin{gathered} y=114-84 \\ y=30 \end{gathered}[/tex]therefore, the value of "y" is 30.
3/4+6 and 2/4÷1 and 3/5
Answers
The answer is a) 27/6 b) 1/2 c) 0.6 = 6/10 = 3/5 and their sum is 5.6
What are the various mathematic operations?The four basic arithmetic operations in Maths, for all real numbers, are:
→ Addition (Finding the Sum; ‘+’)
→ Subtraction (Finding the difference; ‘-’)
→ Multiplication (Finding the product; ‘×’ )
→ Division (Finding the quotient; ‘÷’)
In this given question ;
a) [tex]\frac{3}{4}[/tex] + 6
first take LCM so we will get : [tex]\frac{3+24}{6}[/tex] = [tex]\frac{27}{6}[/tex]
b) [tex]\frac{2}{4}[/tex]÷ 1
this implies [tex]\frac{1}{2}[/tex] ÷ 1 = [tex]\frac{1}{2}[/tex]× 1 = [tex]\frac{1}{2}[/tex]
c) [tex]\frac{3}{5}[/tex] = 0.6
If we were to solve a + b + c we get : 27/6 = 4.5
b= 1/2 = 0.5
so 4.5+ 0.5 + 0.6 = 5.6
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Nautical flags are used to communicate on
ships. Kimani uses the
scale drawing at the
right to sew a nautical Z flag. The scale from
her flag to the drawing is 20
Each color is
4
of the flag. How many square inches of
each color of fabric does Kimani need?
Answers
Answer:
5
Step-by-step explanation:
according to my own understanding since her flag to the drawing is 20. each colour is 4,then u divide 20 by 4. The answer is 5
Can somebody help me with question number 4?
Answers
nswer:
[tex]\begin{gathered} x\text{ = -4} \\ y\text{ = 3} \end{gathered}[/tex]Explanation:
ere, we want to solve the syastem of linear equations simultaneously by elimination
We have this as:
[tex]\begin{gathered} -4x+\text{ 3y = 25} \\ 6x-5y\text{ = -39} \end{gathered}[/tex]We start by multiplying the first equation by 6 and the second by 4. We have this as:
[tex]\begin{gathered} -24x\text{ + 18y = 150} \\ 24x-20y\text{ = -156} \end{gathered}[/tex]Add both equations as follows:
[tex]\begin{gathered} -2y\text{ = -6} \\ y\text{ = }\frac{-6}{-2}\text{ = 3} \end{gathered}[/tex]To get x, we multiply the first equation by 5 and the second by 3
We have this as:
[tex]\begin{gathered} -20x\text{ + 15y = 125} \\ 18x-15y=-117 \end{gathered}[/tex]We proceed to add both equations:
[tex]\begin{gathered} -2x\text{ =8} \\ x\text{ = }\frac{8}{-2} \\ x\text{ = -4} \end{gathered}[/tex]Houston wants to play the "Guess your weight" game at the Strawberry Festival. If the guess is not within 10 pounds of his actual weight, Houston wins a prize. Houston weighs 102 pounds.
Write an equation to represent this situation. Use the equation to determine the greatest and least guesses that can be made without Houston winning a prize?
Answers
An equation to represent this situation is |x - 102| = 10.
The greatest and least guesses that can be made without Houston winning a prize are 112 pounds and 92 pounds.
Given:
Actual Weight of Houston = 102 pounds
Now, if the guess is not within 10 pounds of his actual weight, Houston wins a prize.
An equation to represent this situation can be written as,
|x - 102| = 10
As we know a modulus function always generates a positive value.
We need the difference between the guessed weight and the actual weight to be exactly 10 pounds so we have applied modulus in the equation.
Now we utilize the above equation to determine the greatest and least guesses that can be made without Houston winning a prize.
The greatest guessed weight will be,
x - 102 = 10 ⇒ x = 102 + 10 ⇒ x = 112 pounds
The least guessed weight will be (the modulus value will be negative in this case)
-x + 102 = 10 ⇒ x = 102 - 10 ⇒ x = 92 pounds
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Round to the place value of the underlined digit 698, 07 to the underline number is six
Answers
The place value of the underlined digit (6) is tens of thousands and should be rounded to 70,000.
What is a place value?A place value simply refers to a numerical value (number) which denotes a digit based on its position in a given number and it includes the following:
TenthsHundredthsThousandthsUnitTensHundredsThousands.Tens of thousands.Hundred of thousandsIn this scenario, the place value of the underlined digit (6) is tens of thousands and 9 is the next digit to six (6). Therefore, we would add one (1) to the underlined digit (6) and then change all of the other digits to zero (0) as follows:
69,807 = 70,000
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Mark operates a small sign-making business. He finds that if he charges x dollars for each sign, he sells 37−x signs per week. What is the smallest number of signs that he can sell to have an income of $300 in one week?
Answers
The smallest number of signs that he can sell to have an income of $300 in one week is 12.
The price of one sign is x
Number of signs he sells per week = 37-x
The total earning from selling these is x(37-x) which is given as $300
(37- x) x = 300
37x - x² = 300
x² - 37x + 300 = 0
As per formula to find base in a quadratic equation
[tex]x =\frac{37 - \sqrt{37^{2}-4 . 1 . 300 } }{2 . 1} \\x =\frac{37 - \sqrt{1369-1200 } }{2} \\x =\frac{37 - \sqrt{169 } }{2} \\x = \frac{37-13}{2}\\ x = \frac{24}{2}\\ x = 12[/tex]
The other base can be
[tex]x =\frac{37 + \sqrt{37^{2}-4 . 1 . 300 } }{2 . 1} \\x =\frac{37 + \sqrt{1369-1200 } }{2} \\x =\frac{37 + \sqrt{169 } }{2} \\x = \frac{37+13}{2}\\ x = \frac{50}{2}\\ x = 25[/tex]
Therefore the smallest number of signs that he can sell to have an income of $300 in one week is 12.
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Which number is equivalent to 3^(4)÷3^(2)
Answers
the answer is definitely 9
What’s the slope of this line?
X
6
9
15
21
у
-5
-7
-11
-15
Answers
Slope is [tex]\frac{-2}{3}[/tex] of coordinates (6,5) and (9,-7).
What is slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. [1] The letter m is frequently used to represent slope; however, there is no obvious reason for this. The slope of a curve at a point in differential calculus is defined as the slope of the tangent line at that point as a generalization of this practical definition. The slope can be determined between any two locations when the curve is represented by a series of points in a diagram or list of point coordinates. Maybe when the curve is represented as a continuous function.
Given Data
coordinates - (6,-5) and (9,-7)
slope of the line denoted as m
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
m = [tex]\frac{-7-(-5)}{9-6}[/tex]
m = [tex]\frac{-2}{3}[/tex]
Slope is [tex]\frac{-2}{3}[/tex]
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The width of a rectangle is 15 cm less than the length. The perimeter is
8 cm. Find the rectangle's dimensions.
Answers
If the width of a rectangle is 15 cm less than the length and the perimeter of the rectangle is 150 cm, then the length is 45 cm and width is 30 cm
The width of a rectangle is 15 cm less than the length
Consider the length of the rectangle as x
The the width of the rectangle = x-15
The perimeter of the rectangle = 150 cm
The perimeter of the rectangle = 2(l+w)
Where l is the length and w is the width
Substitute the values in the equation
2(x+(x-15))=150
2(2x-15)=150
4x-30 = 150
4x = 180
x = 45 cm
The width of the rectangle = x-15
= 45-15
= 30 cm
Hence, If the width of a rectangle is 15 cm less than the length and the perimeter of the rectangle is 150 cm, then the length is 45 cm and width is 30 cm
The complete question is
The width of a rectangle is 15 cm less than the length. The perimeter is
150 cm. Find the rectangle's dimensions.
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Which of the following is LEAST associated with human capital?
a)medical treatment that reduces time off of work due to illness or injury.
b)maintenance of fully automated production facilities
c)a college course in accounting
d)an on-the-job training course in the latest production methods.
Answers
Answer:
Hope it helps you
Step-by-step explanation:
(a) medical treatment that reduces time off of work due to illness or injury.
Annalise buys a pair of sunglasses for 30% off and saves $15. What is the original price of the pair of sunglasses?
*
Answers
Answer:
$50
Step-by-step explanation:
We will call x the original price of the sunglasses.
We can create the equation below using the information given.
[tex]x*\frac{30}{100} =15[/tex]
Now solve for x.
[tex]x = 15*\frac{100}{30}[/tex]
[tex]x = \frac{100}{2}[/tex]
[tex]x=50[/tex]
for each of the points identify the axis or constant where the point is located 8.7 and 2.3 
Answers
The given points are located in the 1st quadrant.
How to determine which quadrant?Refer to the attachment.
Since the two points x or abscissa = 8.7 and ordinate or y axis = 2.3 and both the numbers are positive thus they belong to the First quadrant.
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the expression 2x squared minus -x squared is equivalent to
Answers
2x² - x²
Factor:
x²(2 - 1)
x²(1)
x²
--------------------------------------------
(3x² + x + 8) + (x² - 9)
Add like terms:
(3x² + x²) + x +(8 - 9)
4x² + x - 1
-----------------------------------------------
-3x² - 7x + 9 - 5x² + 6x - 4
Add like terms:
(-3x² - 5x²) + (-7x + 6x) + (9 - 4)
-8x² - x + 5
Can you solve this please.
Answers
The simplified expression of (x¹² ÷ x⁴). x³ is x¹¹
How to solve expression?The expression can be solved as follows:
(x¹² ÷ x⁴). x³
The law of indices can be used to solve the expression.
Therefore,
[tex]\frac{x^{a} }{x^{b} } = x^{a - b}[/tex] and [tex](x^{a} )^{b} = x^{ab}[/tex] and [tex]x^{a} .x^{b} = x^{a+b}[/tex]
Hence,
(x¹² ÷ x⁴) = x¹² / x⁴ = x¹²⁻⁴ = x⁸
Therefore,
(x⁸). x³ = x⁸⁺³
Finally,
x⁸⁺³ = x¹¹
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Mr. Salcedo was driving at a constant speed. He drove 120 3/4 miles in 3 hours. At that speed, how
many miles will he drive in 7 1/2 hour? How many miles will he drive in one hour?
Answers
He will cover 301.875 miles in 7.5 hours at a unit speed of 40.25 miles per hour.
What is unit rate?A ratio that compares two amounts of different types of units is called a rate. When a unit rate is expressed as a fraction, the denominator is 1 unit.
Rate = Distance/Time
If Mr.Salcedo was driving at 120 3/4 miles in 3 hours, his unit rate will be calculated as:
Unit rate =[120 3/4]/3
Unit rate = 483/12
Unit rate = 40 1/4 miles/hr
This shows that he drove 40 1/4 miles/hr.
The miles he drove in 7 1/2 hour is expressed as;
Miles driven = 161/4 * 15/2
Miles driven = 301.875 miles
Hence the miles that he will drive in 7.5 hours is 301.875miles and the unit rate is 40.25 miles/hr
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