Answers
Related Questions
Which has a higher cost of credit, a $12,000.00 loan for 3 years at 25.8% interest or a $24,000.00 loan for 3 years at 12.9% interest?
Answers
According to the given statement comparing the two loans, we can see that the second loan(I2 = $9,324.00) with a higher principal but a lower interest rate has a slightly higher cost of credit.
To compare the cost of credit for the two loans, we can calculate the total interest paid for each loan.
For the first loan:
Principal (P1) = $12,000.00
Interest rate (r1) = 25.8% = 0.258
Time (t1) = 3 years
The total interest (I1) can be calculated using the formula:
I1 = P1 × r1 × t1
I1 = $12,000.00 × 0.258 × 3
I1 = $9,288.00
Therefore, the total interest paid for the first loan is $9,288.00.
For the second loan:
Principal (P2) = $24,000.00
Interest rate (r2) = 12.9% = 0.129
Time (t2) = 3 years
The total interest (I2) can be calculated using the same formula:
I2 = P2 × r2 × t2
I2 = $24,000.00 × 0.129 × 3
I2 = $9,324.00
Therefore, the total interest paid for the second loan is $9,324.00.
Comparing the two loans, we can see that the second loan with a higher principal but a lower interest rate has a slightly higher cost of credit. The $24,000.00 loan for 3 years at 12.9% interest has a cost of credit of $9,324.00, which is higher than the $9,288.00 cost of credit for the $12,000.00 loan for 3 years at 25.8% interest.
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Shelly and Terrence completed a different number of tasks in a game. Shelly earned 90 points on each task. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game:
90x − 20
What does the factor x of the first term of the expression represent? (2 points)
Group of answer choices
The total number of tasks Terrence completed
The total number of tasks Shelly completed
The sum of Shelly's and Terrence's total points
The difference between Shelly's and Terrence's total points
Answers
The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed
The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.
To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.
On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.
So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.
Therefore, the correct answer is: The total number of tasks Terrence completed.
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if belongs to the interval , at which values of does the curve have a tangent line parallel to the line ?
Answers
Answer:
you need to show the numbers
Step-by-step explanation:
If I have 2(2.5)³, is it 2.5 to the power of 3? Or is it 2 to the power of 3?
Answers
Between which two integers does square root of /500 lie?
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Answer:
22 and 23
Step-by-step explanation:
Step 1: Solve the square root
\( \sqrt{100 \times 5} \)
\( \sqrt{ {10}^{2} \times 5 } \)
We can move the 10² out because it matches the index of the root
\(10 \sqrt{5} \)
Step 2: Input into calculator to find decimals
\(10 \sqrt{5} = 22.36\)
Therefore the square root of 500 lies between 22 and 23
22 and 23
Because 5000 is between 222
(484) and 232 (529), the square root of 500 is in between 22 and 23..
The number of pounds can be safely loaded onto an elevator, x, can be represented by the inequality x _> 1,200. Which number line correctly represents the inequality.
Sorry i can't show u the diagram just try i will give u alot of points
Answers
The number line correctly represents the inequality, shown in the graph.
What is a number line?A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
The inequality x ≥ 1,200 represents the number of pounds that can be safely placed onto an elevator.
So the number line is given as x ≥ 1200, a shaded line beyond the integer 1200 on the number line.
Thus, the number line accurately depicts the inequality depicted in the graph.
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A department store buys 300 shirts at a cost of $2,100 and sells them at a selling price of $10 each. Find the percent markup
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Answer:.
1.43%
2100/300=7
So they bought each shirt for 7 dollars.
Now they are selling them at 10 dollars.
OK so, now we will divide 10 by 7 which is: 1.42857143
and once you simplify its 1.43%
Can someone pls help me with this?
Answers
Answer:
the answer is C
Step-by-step explanation:
guys please I had a zero on this
I just need help
Answers
Using conversion from fraction to decimal and rational numbers, we have that:
7. The fraction that has a corresponding decimal greater than 1 is 4/3.
8. One rational number between 7 and 8 is given by option a, which is 7.83838383...
How to convert a fraction to decimal?A fraction is converted to decimal dividing the numerator by the denominator.
In item 7, we consider fraction 4/3, for which:
The numerator is 4.The denominator is 3.Hence the corresponding decimal is given as follows:
4/3 = 1.333, which is the result of the division of 4 by 3, and is greater than 1.
What are rational numbers?The set of rational numbers is composed by all numbers that can be represented by fractions, such as integer, terminating decimals and repeating decimals.
In item 8, option a, we have the number 7.83, with the bar at 83. This means that 83 is the repeating decimal part, that is, the rational number is 7.83838383...
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four percent of the customers of a mortgage company default on their payments. a sample of 20 customers is selected. what is the probability that exactly two customers in the sample will default on their payments?
Answers
Using the Binomial probability distribution,
The probability that exactly two customers in the sample will default on their payments is 0.31..
We have given that,
4% of total customers a mortgage company default on their payments .
The probability of success i.e number of customers default on their payments (p) = 4%
= 0.04
The probability of failure (q) = 1-p = 1-0.04 = 0.06
Total number of customers in sample (n) = 20
we have to find out the probability that exactly two customers in the sample will default on their payments.
Using the Binomial probability distribution,
P(X=x)= ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾
the required probability is P(X= 2 )
Now, P(X= 2) = ²⁰C₂(0.04)²(0.06)¹⁸
=> P(X=2) = 190 × 0.0016 × 1.0155 = 0.31
Hence, the required probability is 0.31
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show that p 2 = p by multiplying p = a(at a)−1at by itself and canceling
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we have shown that p^2 = p by multiplying p = a(at a)^(-1)at by itself and canceling.
To show that p^2 = p by multiplying p = a(at a)^(-1)at by itself and canceling, let's proceed with the calculation:
p^2 = p * p
Substituting p = a(at a)^(-1)at:
p^2 = a(at a)^(-1)at * a(at a)^(-1)at
We can cancel the terms in the middle:
p^2 = a(at a)^(-1)at * (at a)^(-1)at
Now, let's simplify the expression. Since (at a)^(-1)at * (at a)^(-1)at is equivalent to the identity matrix, we have:
p^2 = a(at a)^(-1) * at
Next, we can apply the inverse property of a matrix to obtain:
p^2 = a * (at a)^(-1) * at
By using the property (AB)^(-1) = B^(-1)A^(-1), we can rewrite the expression as:
p^2 = a * (a^(-1))(at)^(-1) * at
Now, we can use the property (AB)^(-1) = B^(-1)A^(-1) again to rearrange the terms:
p^2 = a * (at)^(-1) * a^(-1) * at
Finally, using the property (A^(-1))^(-1) = A, we have:
p^2 = a * I * a^(-1) * at
Simplifying further, we obtain:
p^2 = aa^(-1) * at
Since aa^(-1) is equal to the identity matrix I, we have:
p^2 = I * at
Multiplying any matrix by the identity matrix results in the original matrix, so:
p^2 = at
Hence, we have shown that p^2 = p by multiplying p = a(at a)^(-1)at by itself and canceling.
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When constructing a perpendicular bisector why must the compass opening be greater than 1/2.
Answers
It is critical to open a compass with over half the way in order for the arcs formed to meet for perpendicular bisector.
What is perpendicular bisector?A perpendicular bisector would be a line that cuts a line segment in half and forms a 90-degree angle at the intersection point. In other words, a perpendicular bisector separates a line segment now at midpoint, forming a 90-degree angle.
Now, consider an example;
When you wish to build a perpendicular line on a line segment, like line AB, you do the following;
Set the compass on a radius more than half the length of the line AB.Using A as your center, draw an arc above and below line AB.With the same radius and B as our center, draw additional arcs on top or below line AB to join a first arcs on the both side of the line.Join the two arc intersections to cut line AB at M.A line AB appears to be bisected perpendicularly as a result. The arcs would not have met if the compass is opened less than half way down line AB.
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A chef has 2 blocks of butter. Each block weighs 1 pound. She cuts each block into sixths.
How many 1/6
-pound pieces of butter does the chef have?
Answers
Answer:
220
Step-by-step explanation:
Wendy bought a book and the ale tax o the book wa $2. 12 if the ale tax i 8% what wa the price of the book
Answers
The price of the book is $ 0.1696
A sales tax is a consumption tax imposed by state or local governments on the sale of goods or services consumers pay when making a purchase. It is the responsibility of a business to collect sales tax and remit payment to the government when the business has some form of connection to the jurisdiction.
"Information available from the question"
Wendy bought a book and the sale tax on the book was $2. 12 if the sale tax is 8%
To determine the price of the book.
Now,
Sale tax is = 8%
The sale tax on the book was $2. 12
=> Sale tax 8% of 2.12
\(\frac{8}{100}\) × 2.12
=> 0.1696
Hence, The price of the book is $ 0.1696
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Guys can you please help. I dont understand. Thank you. :))))
Lines AB and CD intersect at E. If the measure of angle AEC=5x-20 and the measure of angle BED=x+50, find, in degrees, the measure of angle CEB.
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Answer: 112.5
Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.
10. A local
meteorologist
estimated 3.5 inches of
rain for the month of
April. The actual rainfall
was 5.8 inches. What
was the percent error of
the estimate to the
nearest tenth of a
percent?
Answers
Answer:
39.7%
Step-by-step explanation:
(actual value - estimated value) / actual value
5.8 - 3.5 = 2.3
2.3 / 5.8 = 0.3965 = 39.65%
7. At an event, there were 3 less
than 4 times the number of
students from John Colet School
compared to the number of
students from The Grange. Let g
be the number of students from
The Grange. If there were a total
of 37 students from the two
schools, find the number of
students from each school.
Answers
Answer:
i am not surte
Step-by-step explanation:
There are 5 white balls,8 red balls ,7 yellow balls and 4 green balls in a container a ball is choosen at random.what is the probabilty of chooseing neither white or green? .
Answers
15/19 + 14/19 = 29/19
Step-by-step explanation:
Add the number of balls in the basket together.
Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball
pls give two answers for good measure
Answers
Answer:
2nd answer choice.
Step-by-step explanation:
The inequality is x-5 greater/equal to -2 which if you simplify gives you x>= 3 and since the second answer choice has a filled-in dot which means equal to and the arrow goes to the right which means greater than.
Step-by-step explanation: To solve for x in this inequality,
your goal is the same as it would be if you were solving an
equation, to get x by itself on one side.
Since 5 is being subtracted from x, add 5 to both sides of the inequality.
On the left, the -5and +5 cancel out and on the right, -2 + 5 is 3.
So we have x ≥ 3.
When graphing, start with a closed dot at +3 because x is
not just greater than +3, it's equal to it as well.
Then draw an arrow to the right, like I have done below.
help please!!!!!!!!!!!!!!
Answers
Answer:2
2b√5ab
Step-by-step explanation:
Answer:
\( \sqrt{20a {b}^{3} } \\ = \sqrt{4 \times 5 \times ab {b}^{2} } \\ = 2b \sqrt{5ab} \\ thank \: you\)
Need help on this please help
Answers
A recent survey found that 3 out of every 7 people like birds. If 3500 people were surveyed, how many like birds?
Answers
Find the line that is perpendicular to line n that passes through point (2, –3).
If the slope of the perpendicular line is -2/5, what is the y-intercept of the perpendicular line?
b = negative StartFraction 19 Over 5 EndFraction
b = negative StartFraction 11 Over 5 EndFraction
b = four-fifths
b = 2
Answers
Answer:
its b
Step-by-step explanation:
Answer:it’s b
Step-by-step explanation:
If B=3n-10B=3n−10 and C=n^{2}-6n-6,C=n
2
−6n−6, find an expression that equals 2B-3C2B−3C in standard form.
Answers
The expression of 2B - 3C in standard form is -3n^2 + 24n - 2
Functions and valuesGiven the following expressions
B = 3n - 10
C = n^2-6n-6
Required
2B - 3C
Substitute
2B - 3C = 2(3n -10) - 3(n^2-6n-6)
2B - 3C = 6n - 20 -3n^2+18n+18
2B - 3C = -3n^2 + 24n - 2
Hence expression of 2B - 3C in standard form is -3n^2 + 24n - 2
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5 kilograms of coffee are going to be shared equally among 44 people.
About how many kilograms of coffee does each person get?
Choose 1 answer:
(Choice A)
A
Between 0 and 1 kilograms
(Choice B)
B
Between 1 and 2 kilograms
(Choice C)
C
Between 2 and 3 kilograms
(Choice D)
D
Between 3 and 4 kilograms
Answers
Answer:
A
Step-by-step explanation:
5/44=0.11kg
Answer:
I think A
Step-by-step explanation:
I think A would be the answer.
Have a nice day !
Please help me with this question?!
Answers
Answer: d
Step-by-step explanation:
Develop a single formula you can use to find the profit earned by both the Alcone Company & Besame Beauty for their lip color. Explain why your formula will work for both companies
Answers
Answer:
I have no idea!!!!!!!!!!!!!
Help please due soon!!
Answers
Answer:
9)b
10)b
Step-by-step explanation:
9) (i cant see it clearly im not sure about it)
b. 2^3/2^-2
=2^(3-(-2))
=2^5
=32
10) (8.4/4)*10^6
=2.1*10^6
given m ll n, find the value of x
Answers
x = 56
Those angles are same-side interior angles, meaning they are supplementary (supplementary means that two angles will equal 180.)
Thus,
124 + x = 180
124 (-124) + x = 180 (-124)
x = 56
WRITE INEQUALITY AND SOLVE • A pizza cost $5 plus 25 cents for each topping.
If you have $10, what is the maximum number of
toppings you can get on the pizza?
Answers
(.25x)+5 ≤10 or .25x ≤5 i believe both should work.
20 is how many toppings....
you need four quarters to make a dollar and honestly i just counted with my fingers even though i could have just multiplied 5 x 4
sorry for missing the inequality part at first.........