1. The decrease in the balance would be $11.25 2. The interest on the average daily balance would be $28.77. 3. The total interest paid would be $214,960. 4. The payment would be $1,978.
Describe Interest?Interest refers to the amount of money that is charged or earned for the use of borrowed money. It is a fee paid by a borrower to a lender for the use of funds, or a payment received by a depositor from a bank for the use of their money.
Interest rates are typically expressed as a percentage of the principal amount and can be fixed or variable, depending on the terms of the loan or investment. The interest rate charged on a loan is determined by a number of factors, including the creditworthiness of the borrower, the length of the loan, and prevailing market conditions.
1. The decrease in the balance would be $11.25.
Calculation:
Minimum payment = 2.5% of $450 = $11.25
New balance after paying the minimum = $450 - $11.25 = $438.75
The decrease in the balance would be $450 - $438.75 = $11.25.
2. The interest on the average daily balance would be $28.77.
Calculation:
The balance for the first 14 days of the month = $2000
The balance for the last 16 days of the month = $1400
Average daily balance = (14 * 2000 + 16 * 1400) / 30 = $1666.67
Interest for the month = 0.23 / 12 * $1666.67 = $28.77
3. The total interest paid would be $214,960.
Calculation:
No. of payments = 30 * 12 = 360
Total amount paid = $876 * 360 = $315,360
Total interest paid = $315,360 - $125,000 = $190,360
4. The payment would be $1,978.
Calculation:
Monthly interest rate = 7.3% / 12 = 0.6083%
Number of payments = 30 * 12 = 360
Payment = $275,000 * 0.006083 / (1 - (1 + 0.006083)^-360) = $1,977.54 (rounded to nearest dollar: $1,978)
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What is the value of 8.3?
The answer is 6.03 did this help?
Which of the following are measures of the angle shown? Select all that apply.
Answer:
B, C
Step-by-step explanation:
360 - 90 - 15 = 255
-90 - 15 = -105
You are taking a survey to determine the most popular pizza ordered at the local pizza shop. Which of the examples below will give a random sample of the population? Select all that apply. A) Watching people order pizza one night each week for a month B) Asking your friend what his favorite pizza is C) Having 50 customers rate their favorite pizza as they order D) Asking 5 people at the pizza shop what they ordered Hint Video This feature does not work with a screen reader. Please use shapes, lines, or other tools available below to annotate the page. Pressing enter on this button enables or disables the feature. Pen Tools Answer checkboxes A
Answer:
AStep-by-step explanation:
It is A because people will order what they want.B will not be a random sample because it is your friend, not a random person.
C a customer may be ordering another pizza that is not their favorite.
D Five is not enough and you may be bias (Ex: You need to ask 1 more person and there are 2 people: one with a dog, and one without. Let's say you like dogs, than you may go to the dog person more likely)
What would help me find the x?
Answer:
C
Step-by-step explanation:
I think its C because where x is you see those three lines, those mean congruent so in that triangle whatever x is the other two angles are the same thing. If I had to guess what x is, its prob 60.
11.
Jolie’s time at work increases from 25 hours per week to 30 hours per week. By what percentage did the time at work per week increase?
Show your mathematical calculations below. Describe how you determined the percentage that Jolie's time at work increased.
Jolie's working time increased by 20 %
What is percentage?A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.
Given that, Jolie’s time at work increases from 25 hours per week to 30 hours per week, we need to find that by what percentage did the time at work per week increase,
Using the concept of percentage,
Initial working hours = 25 hours per week
Final working hours = 30 hours per week
Increased hour = 30 - 25 = 5 hours
Percentage increased = 5 / 25 x 100 = 20%
Hence, Jolie's working time increased by 20 %
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GUYS A NEED HELP WITH THIS ASAP, I have to turn it in tomorrow, can y’all help me pls?? :,(
The values that make the inequality m + 4 > -6 true are -4, 0, and 5.
The values that make the inequality n - 3n ≤ 8 true are -4, 0, and 5.
The values that make the inequality -5 < 5f true are 0 and 5.
The values that make the inequality 7 ≤ -y + 7 true are -10, -4, 0, and 5.
An inequality for the statement "Hank's height (h) is less than or equal to 6 feet." is h ≤ 6.
An inequality for the statement "A magazine (m) cost more than $3.50" is m > $3.50.
An inequality for the statement "The temperature (t) is at least -5 degrees" is t ≥ -5.
How to determine the true values?In this exercise, we would evaluate the given inequalities as follows;
-4 + 4 > -6
0 > - 6 (True).
0 + 4 > -6
4 > - 6 (True).
5 + 4 > -6
9 > - 6 (True).
n - 3n ≤ 8
-4 - 3(-4) ≤ 8
8 ≤ 8 (True).
0 - 3(0) ≤ 8
0 ≤ 8 (True).
5 - 3(5) ≤ 8
-10 ≤ 8 (True).
Generally speaking, the phrase "at least" simply means or represents greater than or equal to and it can be denoted by this inequality symbol (≥).
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Answer the following questions on the basis of the following three sets of data for the country of North Vaudeville:
(A)
Price Level
110
100
95
90
Real GDP
(A)
275
250
225
200
The data in
Price
Level
(B)
100
100
100
100
Real GDP
(B)
200
225
250
275
Price
Level
(C)
110
100
95
90
Real GDP
(C)
225
225
225
225
a. Which set of data illustrates aggregate supply in the immediate short run in North Vaudeville?
The data in B
The short run?
The long run?
The data in C
b. Assuming no change in hours of work, if real output per hour of work increases by 10 percent, what will be the new levels of real
GDP in the right column of A?
Instructions: Enter your answers rounded to the nearest whole number.
At a price level of 110:
At a price level of 100:
At a price level of 95: [
At a price level of 90:
The solutions are given below.
What is GDP?Gross domestic product is a monetary measure of the market value or the market value of all the final goods and services produced and sold in a specific time period by a country or countries, generally "without double counting the intermediate goods and services used up to produce them".
here, we have,
1a. We can see immediate short run aggregate supply in North vaudeville in column A. This is because the price is fixed while output increases
1b. We can see short run aggregate supply in North vaudeville in column c. This is because output increases with price increase.
1c we can see long run aggregate supply in North vaudeville in column B. This is because output is constant with price increase.
Assuming output per hour of work decreases by 25% for column C then for each price, output is:
2A. Given price P= 110, output is 285(1-0.25) = 213.75
2B. Given price P = 100, output is 260(1-0.25) = 195
2C. Given price P = 95, output is 235(1-0.25) = 176.25
2D. Given price P = 90, output is 210(1-0.25) = 157.50
3. The new data from question 2 reflects a decrease in aggregate supply.
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kim and courtney share a 20 ounce box of cereal. By the end of the week kim has eat 2/5 of the box and courtney has eaten 1/10 of the box of cereal what fraction of the box is left
Answer: 1/2
Step-by-step explanation:
Kim ate 2/5 which is also equal to 4/10 and Courtney has eaten 1/10
4/10 + 1/10 = 5/10 = 1/2
Which of the following theorems verifies that ABC-DEF?
AA
63°
63
C
D
OA: AA
OB. HA
OC. LL
D. HL
The theorem that justifies the similarity of the two triangles is given as follows:
A: AA.
What is the Angle-Angle Similarity Theorem?The Angle-Angle (AA) Congruence Theorem states that if two pairs of corresponding angles are congruent, then the triangles are similar.
In other words, if two angles of one triangle are equal in measure to two angles of another triangle, then the third angle in each triangle must also be equal in measure, and the two triangles are therefore congruent.
The two pairs of corresponding angles that are congruent in this problem are given as follows:
63º and 63º.90º and 90º. -> right angle.Hence the third angle will also have the same measure for both triangles.
Hence the AA theorem can be used and the correct option is given by option A.
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Line m has a linear equation of y = 2x + 1 and line t has a linear equation of y = -2x - 4.
Are the lines parallel, perpendicular, or intersecting?
They are intersecting
a) Not parallel because they share different slopes
b) Not perpendicular, they dont intersect creating a right angle. This is because neither of the slopes are a reciprocal of each other.
The function y = 8.5(1.1)^x models the population in thousands of a town where x is the number of years after 2000. What will be the town's population in 2007? Give the answer to two decimal places. Answers to choose from: A. 16.56 thousand B. 12 thousand C. 8.52 thousand D. 5 thousand
Pls help I rly appreciate it! :)
The population in thousands of a town in the year 2007 is 16.56 thousand.
What use does the base value serve in an exponential function?In an exponential function, the base value controls how quickly the function increases or decreases. The function expands exponentially if the base value is more than 1, whereas it degrades exponentially if the base value is between 0 and 1. Faster growth or decay is indicated by a bigger base value.
Given that,
y = 8.5(1.1)ˣ
The value of x is calculated as:
x = 2007 - 2000 = 7 years.
Substitute the value of x in the given function:
y = 8.5(1.1)⁷
y = 16.56
Hence, the population in thousands of a town in the year 2007 is 16.56 thousand.
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Maria can run 5 miles in the time that it takes Gus to run 4 miles. Assuming that both Maria and Gus maintain constant speeds and run for equal periods of time, which equation correctly relates the variables defined below?
G: distance Gus runs, in miles
M: distance Maria runs, in miles
Answer:
5 miles / Maria's time = 4 miles / Gus's time
Since both Maria and Gus run for equal periods of time, we can set their times equal to each other:
5 miles / t = 4 miles / t
where t is the time it takes both of them to run.
Simplifying this equation, we can see that the distance Maria runs (M) is equal to the distance Gus runs (G) multiplied by 5/4:
M = (5/4)G
Therefore, the correct equation that relates the variables defined is:
M = (5/4)G
This means that Maria's distance is 1.25 times Gus's distance. So, the correct answer is option B: M = 1.25G.
What are the possible values for
From the diagram you know that the triangles have two pairs of congruent corresponding sides, that LM< _, and that m
Please imma give brainlest
Help
Measure of ∠K in triangle KLM by open mouth theorem is ∠K < 90°.
What is open mouth theorem?The open mouth theorem states that if two sides of a triangle are congruent with two sides of another triangle, and the included angle of the first triangle is greater than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle.
Given,
two triangles KLM and NOP
KL≅NO and KM≅NP
LM = 7, OP = 9
LM < OP
By open mouth theorem
m∠K < m∠N
m∠N = 90°
m∠K < 90°
Hence, m∠K < 90° is the value of angle K, in triangle KLM
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Explain how to identify the major and minor axes of an ellipse are by looking at both the graph and the equation.
In the graph, the major axis is the horizontal axis, while the minor axis is the vertical axis.
What is ellipse?An ellipse is a geometric shape that is a type of curve. In mathematics, an ellipse is defined as a set of points in a plane, such that the sum of the distances between any point on the curve and two fixed points is a constant which is known as foci.
To identify the major and minor axes of an ellipse, you can use both the graph and the equation of the ellipse.
Identify the major and minor axes using the graph: The major axis is the longest diameter of the ellipse, which passes through the center and touches the curve at two points called the vertices. The minor axis is the shortest diameter of the ellipse, which also passes through the center and touches the curve at two points called the co-vertices. On the graph, the major axis is the horizontal axis, while the minor axis is the vertical axis.
Identify the major and minor axes using the equation: The equation of an ellipse can be written in the standard form:
[tex]\frac{(x-h)^{2}}{a^{2}} + \frac{(y-k)^{2}}{b^{2}} = 1[/tex]
where the ellipse's center is (h, k), the semi-major axis' length is a, and the semi-minor axis' length is b. The semi-major axis is half the length of the major axis, while the semi-minor axis is half the length of the minor axis. Therefore, you can identify the major and minor axes by looking at the denominators of the terms that contain x and y in the equation. The larger denominator corresponds to the semi-major axis, while the smaller denominator corresponds to the semi-minor axis.
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The formula N = p + 0.04p models the new population, N, of a town with current population p if the town is expecting population growth of 4% next year. Find the new population of a town whose current population is 4300 persons
N=? persons
Answer:
Step-by-step explanation:
To find the new population, we can substitute p = 4300 into the formula:
N = p + 0.04p
N = 4300 + 0.04(4300)
N = 4300 + 172
N = 4472
Therefore, the new population of the town is 4472 persons.
Jazz Corporation owns 10% of the Williams Corp. stock. Williams distributed a $23,000 dividend to Jazz Corporation. Jazz Corp.'s taxable income (loss) before the dividend was ($3,300). What is the amount of Jazz's dividends received deduction on the dividend it received from Williams Corp.?
The DRD for Jazz Corporation on the dividend it received from Williams Corp. is $4,000.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
To calculate the dividends received deduction (DRD) for Jazz Corporation on the dividend it received from Williams Corp., we need to determine the taxable income limit for the deduction.
The taxable income limit is based on the percentage of ownership in the company. Since Jazz Corporation owns 10% of Williams Corp. stock, the taxable income limit is 50% of its taxable income, or $4,000 ($8,000 x 50%).
The DRD is then calculated as the lesser of the dividend received or the taxable income limit. In this case, Jazz Corporation received a dividend of $12,900, which exceeds the taxable income limit of $4,000.
Therefore, the DRD for Jazz Corporation on the dividend it received from Williams Corp. is $4,000.
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4/3b = 4/5 what does b=
Answer:
20B
Step-by-step explanation:
Answer:
20B
Step-by-step explanation:
The lengths of three line segments are 4 centimeters, 5 centimeters, and 9 centimeters.
Based on the information, we can infer that it is FALSE because it's not possible to construct a triangle with the measures of 4cm, 5cm and 9cm in length on its sides.
How to know if the statement is false or true?To find out if the statement is false or true, we must analyze the information on the lengths of the sides of the triangle and review the construction rules of a triangle to find out if its lengths have any condition.
In accordance with the above, we find that no triangle can be built with these lengths on its sides because, according to the Triangle Inequality Theorem, the sum of two of the sides of the triangle must be greater than the length of the third side. Therefore, if the sum of 4 + 5 results in 9, it is false that we can build a triangle with these measurements.
Note: This question is incomplete. Here is the complete information:
True or false.
Using this information, triangles can be constructed.
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Homework help
Consider the difference of squares identity
For the polynomial 9x² - 49, the values of a and b include the following:
a = 3x
b = 7
What is a difference of two (2) squares?In Mathematics, the standard form for a difference of two (2) squares is modeled or represented by this mathematical expression:
a² - b² = (a + b)(a - b).
Where:
a and b are numerical values (numbers or numerals).
Based on the information provided, we have the following polynomial function:
9x² - 49
By using the sum-product pattern, we have the following:
9x² + 21x - 21x - 49
By writing the common factor from the two pairs, we have the following:
(9x² + 21x) + (-21x - 49)
3x(3x + 7) - 7(3x + 7)
By rewriting in factored form, we have the following:
9x² - 49 = (3x - 7)(3x + 7)
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Solve for the following....
[tex]\boxed{\tt 4x-(9-3x)=8x-1}[/tex]
Answer:
-8
Step-by-step explanation:
4x - 9 + 3x = 8x - 1
7x - 9 = 8x - 1
7x = 8x + 8
x = -8
Therefore, the solution to the equation 4x - (9 - 3x) = 8x - 1 is x = -8.
Given:-
[tex] \sf \: 4x - ( 9 - 3x ) = 8x - 1[/tex][tex] \: [/tex]
Solution:-
[tex] \sf \: 4x - ( 9 - 3x ) = 8x - 1[/tex][tex] \: [/tex]
[tex] \sf \: 4x - 9 + 3x = 8x - 1[/tex][tex] \: [/tex]
[tex] \sf \: 4x + 3x - 9 = 8x - 1[/tex][tex] \: [/tex]
[tex] \sf \: 7x - 9 = 8x - 1[/tex][tex] \: [/tex]
[tex] \sf \: 7x - 8x = -1 + 9[/tex][tex] \: [/tex]
[tex] \sf \: -1x = 8[/tex][tex] \: [/tex]
[tex] \sf \: x = \cancel \frac{8}{ - 1} [/tex][tex] \: [/tex]
[tex] \underline{ \sf \color{lightgreen} \: x = -8 \: }[/tex][tex] \: [/tex]
━━━━━━━━━━━━━━━━━━━━━━━
hope it helps! :)
Using the graphs below, select the graph that represents h(x), given that function h(x) = f(x)+g(x).
Answer: h(x) = 8x so choice A.
Step-by-step explanation:
f(x) = (x + 2)² - 1
g(x) = -(x - 2)² + 1
SOLVE:
h(x) = f(x) + g(x)
——————————————
Step 1: Put together
((x + 2)² - 1) + (-(x - 2)² + 1)
Step 2: Positive and Negative 1 add to 0
((x + 2)² - ) + (-(x - 2)² + )
Step 3: Rewrite
(x + 2)² - (x - 2)²
Step 3: Expand the expression
(x + 2)(x + 2) - (x - 2)(x - 2)
Step 4: Distribute
(x² + 4x + 4) - (x² - 4x + 4)
Step 5: Remove Parentheses (don't forget to distribute the negative)
x² + 4x + 4 - x² + 4x - 4
Step 6: Collect Like Terms
x² and -x² add to 0
+ 4 and - 4 add up to 0
Leaving only + 4x and + 4x which add up to 8x
Therefore, h(x) = f(x) + g(x), h(x) = 8x
Graph Letter A:
A catering company buys some items with a list price of $5,000. If the supplier extends trade discount rates of 35/30/5, find the net price using the net price factor, complement method.
The net price using the net price factor, complement method is $2958.75.
What does "net price factor" mean?The complementary of the product of the market discount rates is represented by the net price factor, which is a decimal number. It is used to determine an item's final price after various trade discounts have been applied. By multiplying the complementary of the discount rates collectively and deducting the result from 1, we may determine the net price factor.
We use the complement method to calculate the net price using the net price factor.
For the given trade discount rates we have:
The complement of 35% is 65%
The complement of 30% is 70%
The complement of 5% is 95%
Multiply the values:
65% × 70% × 95% = 0.65 × 0.70 × 0.95 = 0.40825
The net price is obtained by:
1 - 0.40825 = 0.59175
Multiply the net price by the list price:
0.59175 × 5000 = $2958.75
Hence, the net price using the net price factor, complement method is $2958.75.
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elsa made 20,000 in taxable income last year. Suppose the income tax rate is 10% for the first 9,000 plus 16% for the amount over 9,000
Answer:
Elsa's income tax for last year was 2,660 dollars.
Step-by-step explanation:
dibuja una línea desde cada ecuación hasta la propiedad de igualdad que ilustra
By adding 3 to both sides of the equation (6+3)-3=9-3, this demonstrates the addition property of equality. This results in the equation being simplified to 6+3=9.
What does Property of Equality means?The properties of equality describe the relationship between two sides of an equation and state that the two sides remain equal even after the same arithmetic operation is performed on each side. a = a, according to the reflexive property of equality. For example, 5 = 5, because the number's value is equal to itself.
As per the addition property of equality, when we add the same number to both sides of an equation then the two sides remain equal. This can be written as, if a = b, then a + c = b + c.
Translated question "Draw a line from each equation to the property of equality it illustrates. (6+3)−3=9−3 Addition Property of Equality"
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Use the bar graph to find the experimental probability of rolling a 5.
Answer:19?
Step-by-step explanation:
3. Carnivorous plants have some unique and amazing characteristics. What do these characteristics
suggest about life and the world that we live in? In other words, what can carnivorous plants teach us
about the world? Make a point and support it with an example from the text. Explain what your support
shows.
We have no control over our cravings, affection, passion, or avarice. Humans and plants have many characteristics. You eat human flesh because you are a plant. Our way of life is represented by the plant.
What are carnivores animals?Whether by hunting or scavenging, an animal or plant that consumes meat gets its food and energy needs from animal tissues (primarily muscle, fat, and other soft tissues).
The majority of the member species of the order Carnivora are known by the technical term "carnivoran," although confusion is often caused by the resemblance between the name of the order and the name of the diet.
So, in the given situation as the grows and as the money grows, it demonstrates that we are all looking out for one another.
In some ways, we are all carnivorous plants.
We all commit murder.
We are powerless against our hunger, love, passion, and greed. Plants and humans are similar in many ways.
What we desire is to live, and to exist in this world. You are a plant that consumes human flesh.
The plant represents our way of life.
Therefore, we have no control over our cravings, affection, passion, or avarice. Humans and plants have many characteristics. You eat human flesh because you are a plant. Our way of life is represented by the plant.
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Complete question:
Carnivorous plants have some unique and amazing characteristics. What do these characteristics suggest about life and the world that we live in? In other words, what can carnivorous plants teach us about the world?? Make a point and support it with an example from the text. Explain what your support shows.
50 yd. 40 yd. What is the length of the missing leg? If necessary, round to the nearest tenth.
a = ? yards
Answer:
a=50-40
a=10
lxb
answer
2. Themba decides to draw a bar graph. Use graph 2 below to answer the questions that follow: 25 20 No. 15 of Customers 10 5 0 Graph 2: Favourite Sandwiches Ham Favourite Sandwiches Cheese Egg Chicken Polony Sandwich Choice
The probability both will be peanut butter sandwiches will be 1/6.
What is probability?Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true.
here, we have,
The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.
The probability that John picks a peanut butter sandwich from the first bag is 6/12 = 1/2.
The probability that John picks a peanut butter sandwich from the second bag is 4/12 = 1/3.
The probability that John picks a peanut butter sandwich from both bags is (1/2) * (1/3) = 1/6.
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Solve the equation 13coshx + 12 sinhx = 23/4
Answer:
5 3/4
Hope this is what you're looking for
Solve the inequality
Answer: x> -28/13
Step-by-step explanation:
1.
Simplify the expression
2. Combine multiplied terms into a single fraction
3. Distribute
4. Rearrange terms
5. Combine multiplied terms into a single fraction
6. Multiply by 1
7. Multiply all terms by the same value to eliminate fraction denominators
8. Cancel multiplied terms that are in the denominator
9. Distribute
10. Distribute
negative five-sevenths ( 21 x plus 35 ) < 1/3 ( 9-6 x )
negative 315 x minus 525 is less than negative 42 x plus 63
2
Add
525
to both sides
3
Simplify the expression
4
Add
42 x
to both sides
5
Simplify the expression x> -28/13
