Here is a model I have made (I'm not a great artist). There are 42 circles in total, placed in 7 columns. Each column has 6 circles. This model represents 42/7 by splitting 42 into 7 parts, which are the columns, and showing that each column has 6 circles, which is the answer to 42/7.
The model to represent 42/7 is shown in the image attached,
What is the modelA "model" is a representation or abstraction of a system, concept, process, or phenomenon that helps us understand, predict, or explain how things work or interact.
In this image representation, each number represents one-seventh of the whole. One can shade in six of them to represent 42/7. In a more technical context, precise methods of representing fractions, such as using mathematical notation or diagrams is used.
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To pay for a home improvement project that total is $20,000 a homeowner is choosing between two different credit card loans with an interest rate of 7% the first credit card compounds interest quarterly or the second credit card compounded monthly the homeowner plans to pay off the loan in 10 years part a determine the total value of a loan with the quarterly compounded interest Show all work and round your answer to the nearest hundred part B determine the total value of the loan with the monthly compounded interest show all work and round your answer to the nearest hundredth Park see what is the difference between the total interest accrued on each loan explain your answer in complete sentences
A. The total value of the loan with quarterly compounded interest is $52,400.
B. The total value of the loan with monthly compounded interest is $52,010.04
How did we get the values?Part A: Total value of the loan with the quarterly compounded interest
To find the total value of the loan, we'll use the formula for compound interest:
A = P * (1 + r/n)^(nt)
Where:
A = final amount (loan + interest)
P = principal amount (initial loan) = $20,000
r = interest rate = 7% = 0.07
n = number of times compounded per year = 4 (quarterly)
t = number of years = 10
Plugging in the values, we get:
A = $20,000 * (1 + 0.07/4)^(4 * 10)
A = $20,000 * (1.0175)^40
A = $20,000 * 2.620075
A = $52,401.51
Rounding to the nearest hundred, the total value of the loan with quarterly compounded interest is $52,400.
Part B: Total value of the loan with the monthly compounded interest
To find the total value of the loan with monthly compounded interest, we'll use the same formula with a different value of n:
A = P * (1 + r/n)^(nt)
Where:
n = number of times compounded per year = 12 (monthly)
Plugging in the values, we get:
A = $20,000 * (1 + 0.07/12)^(12 * 10)
A = $20,000 * (1.005833)^120
A = $20,000 * 2.600502
A = $52,010.04
Rounding to the nearest hundredth, the total value of the loan with monthly compounded interest is $52,010.04
The difference between the two loans is $52,401.51 - $52,010.04 = $391.47
The difference between the two loans is due to the higher frequency of compounding in the monthly compounded interest loan. The interest is compounded more times per year, so the interest is accumulating on the interest more quickly, leading to a higher overall interest charge.
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Aliyah $24 to spend on seven pencils. After buying them she had $10.how much did each Pencil cost?
Answer:
2 dollars
Step-by-step explanation:
24-10=14
7 pencils cost 14 dollars
1 pencil costs 2 dollars
please give me brainliest!!
What is the circumference of a circle with a radius of 7 mm?
Answer:
8 = 4 +$
Step-by-step explanation:
Can someone help me with this
Answer:
Y is 90 degrees.
Step-by-step explanation:
This is an equalterial triangle which means all of the angles are the same. The angle for the upper part of the triangle is 60 as well. We can do 2x=60 because they add up to the angle which is 60. This gives us x=30. If x=30 and the other angle is 60, then the other angle has to be 90 because all triangle has an angle sum of 180. So 30 +60 + 90= 180. Hope this helps!
Answer:
y=90 degrees.
Step-by-step explanation:
Solve each equation by completing the square.
d² - 24d + c
Answer:
d² - 24d + c = (d - 12)² - 144 + c
Find the distance between F and G. F(4,8) G(16,12)
Answer:
4√10
Step-by-step explanation:
distance = √((16-4)²+ (12-8)²)
= √(144 + 16)
=√160
=√(4X4X10)
=√4 X √4 X √10
= 2 X 2 X √10
= 4√10
5x-y=1/4 write in slope-intercept form
The slope intercept form of the given equation is,
y = 5x - 1/4
Given an equation of a line as,
5x - y = 1/4
We have to write the equation of the line in slope intercept form.
Equation of the line in slope intercept form is,
y = mx + c
Here m is the slope and c is the y intercept.
Rearranging the given equation,
5x = y + 1/4
5x - 1/4 = y
or,
y = 5x - 1/4
Hence the slope intercept form is y = 5x - 1/4.
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Toni's brownie recipe calls for 2 teaspoons of salt to 3 teaspoons of vanilla. How many teaspoons of salt does Toni need to every one teaspoon of vanilla?
Answer:
2/3
Step-by-step explanation:
Use the diagram in the photo to answer the questions that follow.
Answer:
Step-by-step explanation:
1. y =25x
2. answer : 250
3.independent is n and dependent is v
A case of single-serving bags of chips contains 8 boxes. Each box contains 10 bags of chips.
A case of chips cost $29.60. What is the unit price for a single bag of chips?
Answer:
each bag of chips are 0.37 cents
Step-by-step explanation:
1 case =29.60
29.60 divided by 8 (number of boxes in case)=3.70
3.70 divided by 10(number of chip bags in box)=0.37
Therefore each bag of chips = 0.37cents
Use the following information. (pls hurry)
SPORTS In a football game, each team earns 6 points for each touchdown it scores.
Write an equation to find y, the total number of points for scoring x touchdowns.
Oneida is buying hats and gloves for charity. She needs to buy an equal number of each item. The table shows the cost of the items.
Item Cost ($)
Gloves 3.00
Hat 5.00
If she has $50 to spend on the hats and gloves, then the inequality 5x+3x≤50 can be used to find the number of each item she can buy. How much money will she have left after buying the greatest number of hats and gloves?
Oneida will have $2 left after buying the greatest number of hats and gloves.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
The inequality 5x + 3x ≤ 50 can be used to find the number of each item Oneida can buy, where x is the number of each item she buys:
5x + 3x ≤ 50
8x ≤ 50
x ≤ 6.25
Since Oneida needs to buy an equal number of hats and gloves, the maximum value of x that satisfies the inequality is 6.
So she can buy 6 hats and 6 gloves, which will cost:
6 hats × $5 per hat = $30 for the hats
6 gloves × $3 per glove = $18 for the gloves
The total cost will be $30 + $18 = $48.
Therefore, Oneida will have $50 - $48 = $2 left after buying the greatest number of hats and gloves.
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A contractor has made a scale drawing of an addition he will be making to a house. On
the drawing each foot is represented by 3/4 inch. What are the following dimensions?
a. The length of the room? (Distance on drawing: 9 inches)
b. The width of the room? (Distance on drawing: 6% inches
Answer:
12 ft and 9 ftStep-by-step explanation:
Scale is:
1 foot = 3/4 inch1 inch = 1 : 3/4 foot = 4/3 foota. The length of the room
9 inches = 9*4/3 foot = 12 feetb. The width of the room
6 3/4 inches = 27/4 inches = 27/4*4/3 = 9 feetAnswer:
12 ft and 9 ft
Step-by-step explanation:
When is stranger things season 4 coming out
Answer:
july 2021
Step-by-step explanation:
Answer:
we still don't know but the are starting to film
Step-by-step explanation:
Jim runs 3 miles in 28 minutes. At the same rate, how many miles would he run in 42 minutes?
Answer:
9/2 miles or 4.5 miles
Step-by-step explanation:
First lets see how many miles Jim would run in one minute. That would be 3/28 miles in one minute. Than multiply that by 42 and you get 9/2.
a team lost 3 games and won 7 games what was the team's win loss ratio
Answer:
1 to 2.333
Step-by-step explanation:
3/3=1 7/3=2.333 . . .
So I think its (1:2.33) or 1 to 2.33
Of the 50 people who started a math class meeting at 10:00 each morning, only 37 finished the class. What fraction of people finished the class?
Answer:
37/50
Step-by-step explanation:
So 37 out of 50 who finished the class, so 37/50 .
And you can't simplify it.
For any positive integer n, the value of n! is the product of the first n positive integers. For example, 4! = 4 * 3 * 2 * 1 =24. What is the greatest common divisor of 5! and 7! ?
The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.
the greatest common divisor of 5! and 7! is 120.
To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.
First, let's calculate the values of 5! and 7!:
5! = 5 * 4 * 3 * 2 * 1 = 120
7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040
Now, let's factorize both numbers:
Factorizing 120:
120 = 2^3 * 3 * 5
Factorizing 5,040:
5,040 = 2^4 * 3^2 * 5 * 7
To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).
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On a number line, 7.05 would be located Choose all answers that make a true statement.
7.05
A. between 8 and 9
B. to the right of 7.02
C. to the left of 7.08
D. between 8.0 and 8.1
On a number line, 7.05 would be located
B. to the right of 7.02C. to the left of 7.08How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
Number = 7.05
The analysis of its position s as follows:
A. between 8 and 9: False. 7.05 is to the left of 8 and is not between 8 and 9.B. to the right of 7.02: True. 7.05 is greater than 7.02, so it is to the right of 7.02 on the number line.C. to the left of 7.08: True. 7.05 is less than 7.08, so it is to the left of 7.08 on the number line.D. between 8.0 and 8.1: False. 7.05 is not between 8.0 and 8.1.So, the true statements are B and C.
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Jae is a real estate photographer. The amount he earns in one week is a linear function of the number of houses he photographs. If he photographs 3 houses, he earns $390, and if he photographs 5 houses, he earns $620.
a. Create a linear model for Jae's earnings (y) (in dollars) as a function of the number of houses he photographs (x) and put the model in slope-intercept form.
Step-by-step explanation:
(x, y) =
(3, $390)
(5, $620)
y = ax + b
390 = 3a + b
620 = 5a + b
2. equation minus 1. equation
230 = 2a
a = 115
390 = 3×115 + b = 345 + b
45 = b
y = 115x + 45
find the volume of the cone. make sure to round
Answer: 333.29
V= ⅓Bh is how you would do it
What is the equation of the line through the origin and (2,5)?
A. y = 5/2x
B. y = 2/5x
C. y= 2x
D. y = 5x
Answer:
A
Step-by-step explanation:
We can just use the slope equation here.
\(m=\frac{y2-y1}{x2-x1}\)
The two given points are (0,0) and (2,5)
\(m=\frac{5-0}{2-0}=\frac{5}{2}\)
Since the line intersects the y-axis at the origin, the y-intercept is 0.
So, our slope-intercept equation is \(y=\frac{5}{2}x\).
Hope this helps!
Match each function on the left to all points on the right that would be located on the graph of the function. Help!! thanks
Each function on the left should be matched to all points on the right that would be located on the graph of the function as follows;
f(x) = 2x + 2 ⇒ (0, 2).
f(x) = 2x² - 2 ⇒ (-1, 0).
\(f(x) = 2\sqrt{x+1}\) ⇒ (0, 2).
What is a function?In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.
Next, we would determine the point or ordered pair that represent a solution on the graph of each of the function as follows;
For the ordered pair (0, 2), we have:
f(x) = 2x + 2
2 = 2(0) + 2
2 = 2 (True).
For the ordered pair (-1, 0), we have:
f(x) = 2x² - 2
0 = 2(-1)² - 2
0 = 2 - 2
0 = 0 (True).
For the ordered pair (0, 2), we have:
\(f(x) = 2\sqrt{x+1}\\\\2= 2\sqrt{0+1}\\\\2 = 2\sqrt{1}\)
2 = 2 (True).
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What the heck does this mean lol
Answer:
Step-by-step explanation:
The significant figures of a number that carry meaningful contribution to its measurement resolution
g A two-factor study with 3 levels of factor A and 3 levels of factor B uses a separate sample of 10 participants in each treatment condition. How many participants are needed for the entire study
Answer:
the total number of participants required is 90
Step-by-step explanation:
Given the data in the question;
Factor A has three levels
Factor B has three levels
sample size n; ten participants
we have two Way ANOVA involving Factor A and Factor B.
Now,
{ Total # Participants Required } = { #Levels factor A } × { #Levels factor B } × { Sample size of each level }
we substitute
{ Total # Participants Required } = 3 × 3 × 10
{ Total # Participants Required } = 9 × 10
{ Total # Participants Required } = 90
Therefore, the total number of participants required is 90
Divide 0.0844 /(-0.72) and round to the nearest hundreths
Answer:
-0.12
Step-by-step explanation:
0.0844/(-0.72)=-0.11722222222
-0.11722222222 rounded to the nearest hundredths in -0.12
Answer:
- 0.11722222222
Step-by-step explanation:
- 0.0844 ÷ - 0.72 = - 0.11722222222
if andre rides his bike for 8 miles, how long will this take?
Answer:
25 minutes
Step-by-step explanation:
it kinda depends on how fast hes going but most likely 25 minutes
Question 5: Let P be a polynomial function. If (x-2) is a factor of thepolynomial, what is the value of u?P(x) = 3x3 – ux? - 15x + 14-28-62
Remember that
If (x-2) is a factor
then
For x=2
P(2)=0
so
substitute
0=3(2^3)-u(2^2)-15(u)+14
solve for u
0=24-4u-15u+14
0=38-19u
19u=38
u=2If the x-intercept is 7, the point version would be written as (answer)
Answer:
(7,0)
Step-by-step explanation:
The x intercept is the x value when y = 0
(7,0)
5
Convert 1101 two to base 5
the answer is 23...........