100 miles = $14
200miles = $28
300miles=$45
Given: ,
bisects ∠AEC.
A horizontal line has points A, E, D. 2 lines extend from point E. One line extends to point B and another extends to point C. A small box represents the angle for C E D.
What statements are true regarding the given statement and diagram?
∠CED is a right angle.
∠CEA is a right angle.
m∠CEA = One-half(m∠CEB)
m∠CEB = m∠BEA
m∠DEB = 135°
m∠AEB = 35°
Answer:
angle ced is a right ange
so the m angels debate =135 m angle aeb =35
so the answer is 135+35 =170
180 is a all side sim
=180-170=10 answer
Answer:
∠CED is a right angle.
∠CEA is a right angle.
m∠CEB = m∠BEA
m∠DEB = 135°
estimate the following by rounding each number all the way; then add to find the exact answer. 417,459 384,404
The average exact answer is 801,863. Rounding each number all the way means that 417,459 is rounded to 400,000 and 384,404 is rounded to 400,000. 400,000 + 400,000 = 800,000, which is rounded to 801,863.
417,459 rounded to 400,000
384,404 rounded to 400,000
400,000 + 400,000 = 800,000
800,000 rounded to 801,863
Exact answer is 801,863
When rounding each number all the way, 417,459 is rounded down to 400,000 and 384,404 is rounded up to 400,000. When adding these two numbers, the exact answer is 801,863. This can be shown by step by step calculations. First, 417,459 is rounded to 400,000 and 384,404 is rounded to 400,000. Next, 400,000 + 400,000 equals 800,000. Finally, 800,000 is rounded up to 801,863, which is the exact answer. This demonstrates how rounding each number all the way and then adding them together can be used to estimate the exact answer without having to do any more complex calculations.
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are 2:! and 3:1 an equivalent ratio?
2:1 and 3:1 are not equivalent ratio.
What is an equivalent ratios?
A ratio compares two quantities named as antecedent and consequent, by the means of division. For example, when we cook food, then each ingredient has to be added in a ratio. Thus, we can say, a ratio is used to express one quantity as a fraction of another quantity.
Two ratios are equivalent to each other if one of them can be expressed as the multiple of the other. Hence, to get the equivalent ratio of another ratio, we have to multiply the two quantities (antecedent and consequent) by the same number.
Given ratios are 2:1 and 3:1
we can write it as 2/1 and 3/1.
The lcm of 2 and 3 is 6.
Multiply denominator of both ratio with 6, we get
2/6 and 3/6 And we can see both the ratios are not equal.
Hence, there are not equivalent ratios.
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The length of one side of a triangle is 2 feet less than three times the length of its second side. The length of the third side is 3/4 of the sum of the lengths of the first two sides. Find the lengths of all three sides if the perimeter of the triangle is 17.5 feet.
Answer:
7 feet, 3 feet, 7.5 feetStep-by-step explanation:
Let the sides be a, b and c.
GivenThe length of one side of a triangle is 2 feet less than three times the length of its second side
a = 3b - 2The length of the third side is 3/4 of the sum of the lengths of the first two sides:
c = (3/4)(a + b)The perimeter of the triangle is 17.5 feet:
a + b + c = 17.5SolutionSubstitute a with b in the second equation:
c = (3/4)(3b - 2 + b) = (3/4)(4b - 2) = (3/4)(4b) - (3/4)(2) = 3b - 1.5Now substitute a and c with b in the third equation and solve for b:
a + b + c = 17.53b - 2 + b + 3b - 1.5 = 17.57b - 3.5 = 17.57b = 17.5 + 3.57b = 21b = 3Find the value of a:
a = 3b - 2 = 3*3 - 2 = 9 - 2 = 7Find the value of c:
c = 3b - 1.5 = 3*3 - 1.5 = 9 - 1.5 = 7.5The sides of the triangle are:
a = 7 feet, b = 3 feet, c = 7.5 feetPLEASE HURRY WILL GIVE BRAINLIEST if you show your work!
Answer:
(x² + 7x + 6) ÷ (x² + 2x + 1)
This should be in the form of a fraction, I just don't know how to format it that way on here.
Step-by-step explanation:
Since your denominators are equal on both fractions, you just need to subtract your numerators.
3x² + 9x + 12 - (2x² + 2x + 6)
When there is a - in front of an expression in parenthesis, you should change the sign of each term in the expression of the numerator being subtracted.
So this:
2x² + 2x + 6
Will become this:
2x² - 2x - 6
This is how it will look:
3x² + 9x + 12 - 2x² - 2x - 6
Now all you have to do is collect the like terms.
3x² and -2x² are like terms so you will add them together: 3x² + (-2x²) = 3x² - 2x² = x²
This is how your numerator should look so far:
x² + 9x + 12 - 2x - 6
Now we move on to the next like terms.
9x and -2x are like terms so we add them together: 9x + (-2x) = 9x - 2x = 7x
This is how your numerator should look so far:
x² + 7x + 12 - 6
Now we move on to the last set of like terms.
12 and -6 are like terms so we add them together: 12 + (-6) = 12 - 6 = 6
This is how your numerator should be now:
x² + 7x + 6
Now all you have to do is put your numerator on top of your denominator which is the same as in the start of your equation (x² + 2x + 1).
You are done! I hope this was clear and you understand :)
Answer:
(x² + 7x + 6) ÷ (x² + 2x + 1)
This should be in the form of a fraction, I just don't know how to format it that way on here.
Step-by-step explanation:
Since your denominators are equal on both fractions, you just need to subtract your numerators.
3x² + 9x + 12 - (2x² + 2x + 6)
When there is a - in front of an expression in parenthesis, you should change the sign of each term in the expression of the numerator being subtracted.
So this:
2x² + 2x + 6
Will become this:
2x² - 2x - 6
This is how it will look:
3x² + 9x + 12 - 2x² - 2x - 6
Now all you have to do is collect the like terms.
3x² and -2x² are like terms so you will add them together: 3x² + (-2x²) = 3x² - 2x² = x²
This is how your numerator should look so far:
x² + 9x + 12 - 2x - 6
Now we move on to the next like terms.
9x and -2x are like terms so we add them together: 9x + (-2x) = 9x - 2x = 7x
This is how your numerator should look so far:
x² + 7x + 12 - 6
Now we move on to the last set of like terms.
12 and -6 are like terms so we add them together: 12 + (-6) = 12 - 6 = 6
This is how your numerator should be now:
x² + 7x + 6
Now all you have to do is put your numerator on top of your denominator which is the same as in the start of your equation (x² + 2x + 1).
You are done! I hope this was clear and you understand :)
Step-by-step explanation:
Rachael needs to rent a car while on vacation. The rental company charges $17.95, plus 19 cents for each
mile driven. If Rachael only has $40 to spend on the car rental, what is the maximum number of miles she
can drive?
Answer:
116 miles
Step-by-step explanation:
We can solve this by first writing an equation for the cost of the car rental. To begin, the base cost is $17.95, so any further costs must be added to that. Next, the car costs 19 cents (0.19 dollars) for each mile driven, so for each mile, we add 19 cents. This can be written as 0.19 *x if x represents the amount of miles driven. Therefore, we can add the two input costs of the car (the base cost and cost per mile) to get
17.95 + 0.19 * x = total cost.
After that, we want to maximize x/the number of miles with only 40 dollars. We can do this by setting this equal to the total cost, as going over the total cost is impossible and going under would be limiting the amount of miles (this because we are adding money for each mile, so more money means more miles). Therefore, we have
17.95 + 0.19 * x = 40
subtract 17.95 from both sides to isolate the x and its coefficient
22.05 = 0.19 * x
divide both sides by 0.19 to isolate x
22.05/0.19 = x = 116.05
The question asked us to round down, and 116.05 rounded down is 116 for our answer
Evaluate the expression when
x = 32 and y = 2.
x / 4x
A) 1/16
B) 16/21
C) 2
D) 4
PLEASE HELP FAST!!
Answer:
C
Step-by-step explanation:
32/4 (4)
32/16 = 2
Therefore, the answer is C, 2.
I hope this helps! Please mark me brainliest if you can!
Professor A.B.C company opens his own company, Electronic Tutorial Services, and completes the following transactions in June:
6/1 A.B.C company invests 20,000 in the business.
6/3 Purchased 12,100 of equipment.
6/4 Paid 220 premium for an insurance policy.
6/6 Purchased office supplies on Account 140.
6/9 Purchased a new computer for 9,000. Paid 40% cash agreed to pay the remainder Later.
6/10 Billed student Omar 58 for tutorial services that were performed.
6/14 Paid for the supplies purchased on June 6th.
6/15 the owner suggested to purchased new Building for his company by 22,000
6/25 Received 85 cash from student Salim Ali for tutorial services performed.
6/30 Student billed on June 10 pays the amount due to A.B.C company.
6/30 A.B.C company withdraws 60 for personal use.
Required: Prepare the all Accounting Cycles
In June, A.B.C company invested $20,000, purchased equipment, paid insurance premium, bought office supplies, billed students for tutorial services, received cash, paid for supplies, withdrew personal funds.
Accounting Cycles:
1. June 1:
- A.B.C company invests $20,000 in the business.
- Prepare the journal entry:
- Debit: Cash ($20,000)
- Credit: Capital ($20,000)
2. June 3:
- Purchased equipment for $12,100.
- Prepare the journal entry:
- Debit: Equipment ($12,100)
- Credit: Cash ($12,100)
3. June 4:
- Paid $220 premium for an insurance policy.
- Prepare the journal entry:
- Debit: Insurance Expense ($220)
- Credit: Cash ($220)
4. June 6:
- Purchased office supplies on account for $140.
- Prepare the journal entry:
- Debit: Office Supplies ($140)
- Credit: Accounts Payable ($140)
5. June 9:
- Purchased a new computer for $9,000. Paid 40% in cash and agreed to pay the remainder later.
- Prepare the journal entry for the cash payment:
- Debit: Computer ($3,600) [40% of $9,000]
- Credit: Cash ($3,600)
- Prepare the journal entry for the remaining amount:
- Debit: Computer ($5,400)
- Credit: Accounts Payable ($5,400)
6. June 10:
- Billed student Omar $58 for tutorial services performed.
- Prepare the journal entry:
- Debit: Accounts Receivable ($58)
- Credit: Tutorial Services Revenue ($58)
7. June 14:
- Paid for the supplies purchased on June 6th ($140).
- Prepare the journal entry:
- Debit: Accounts Payable ($140)
- Credit: Cash ($140)
8. June 15:
- The owner suggested purchasing a new building for the company for $22,000.
- No journal entry is required at this point. It is a decision made by the owner.
9. June 25:
- Received $85 cash from student Salim Ali for tutorial services performed.
- Prepare the journal entry:
- Debit: Cash ($85)
- Credit: Accounts Receivable ($85)
10. June 30:
- Student billed on June 10 pays the amount due ($58).
- Prepare the journal entry:
- Debit: Cash ($58)
- Credit: Accounts Receivable ($58)
11. June 30:
- A.B.C company withdraws $60 for personal use.
- Prepare the journal entry:
- Debit: Withdrawals ($60)
- Credit: Cash ($60)
These transactions represent the accounting cycles for the given period.
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what equation describes a line that has a slope of 4/5 and a y-intercept of 2/5
Answer:
y = 4/5 x + 2/5
Step-by-step explanation:
I don't understand plz help! Evaluate each expression for g = -7 and h = 3 and match it to its value.
1. gh
2. g2 - h
3. g + h2
4. g + h
5. h - g
6. g - h
-10. 46. 10. 2. -4. -21
Answer:
Answers: 1) gh= -7×3= -21
2) g2-h= -7×2-3= -17 *that is what I got from my calculations.
3) g+ h2 = -7+3×2= 1 *that is what I got from my calculations.
4) g+h = -7+3 = -4
5) h-g= 3--7= 3+7= 10
6) g-h= -7-3= 10
Step-by-step explanation:
I don't fully understand neither but I tried.
Question: 18 of 19
Lesson 18
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 50, direction angle 0 = 50°
Choice 'A' OV
Choice 'B'O V
Choice 'C'OV
Choice 'D' OV
(38.3, 32.1)
(33.8, 31.2)
(32.1, 38.3)
(31.2, 33.8)
4
The component form of the following vectors is Option A. V = (38.3, 32.1).
To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.
The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.
In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.
The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).
Let's calculate the components:
x = 50 * cos(50°) ≈ 38.3
y = 50 * sin(50°) ≈ 32.1
Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).
Therefore, the correct answer is A. V = (38.3, 32.1).
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The question is incomplete. Find the full content below:
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 50, direction angle θ = 50°
A. V = (38.3, 32.1)
B. V = (33.8, 31.2)
C. V = (32.1, 38.3)
D. V = (31.2, 33.8)
there are 34 rose bushes currently in the park. Park workers will plant more rose bushes today. When the workers are finished there will be 70 rose bushes in the park. How many rose bushes did the workers plant today
Answer:
I think the answer is C
Step-by-step explanation:
Because they said there are 34 currently so if you add 36 or 34 to 70 it has to be C
which could be the function graphed below ??
Answer:
D \(\sqrt{x+4}\)
Step-by-step explanation:
PLEASE HELP IM GIVING BRAINLYEST FOR ANYONE WHO CAN AWNSER THIS!?!
For questions 1 – 10, find the slope of the line.
If I did this correct, it should be 7,5 hope ot helps
Hhhhhheellllppppppp asap
Answer:
A
Step-by-step explanation:
Answer:
i think A is the answer
Step-by-step explanation:
5.5 is worth more than 5.05 is this is not what ur asking plz clarify :)
Marcelo scored 7 points for his basketball team. This was 20% of his team’s points. How many points did his team score?
Answer:
35
Step-by-step explanation:
20% = 7
Therefore, 100% = Total Points By Whole Team
20% x 5 = 100%
7 x 5 = 35 Points
19. Ronna eamed $235 babysitting. She decides to deposit the money into a bank account that earns
3% interest. If she leaves the money in the account for 2 years, how much interest will she earn?
Please look at the photo for the question. Thank you!
The zeros with each multiplicity are given as follows:
Multiplicity one: x = 6.Multiplicity two: x = 11.Multiplicity three: x = -6 and x = -5.How to obtain the multiplicities?The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
Considering the linear factors of the function in this problem, the zeros are given as follows:
(x + 6)³ -> zero at x = -6 with multiplicity of 3.(x - 11)² -> zero at x = 11 with multiplicity of 2.x - 6 -> zero at x = 6 with multiplicity of 1.(x + 5)³ -> zero at x = -5 with multiplicity of 3.More can be learned about the Factor Theorem at brainly.com/question/24729294
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What’s the slope of the graph?
Answer:
3/4
Step-by-step explanation:
rise 3 then run 4 rise/run
The axis of symmetry formula is helpful when we are trying to find __________________________ (circle one):
A. The speed of the diver
B. The time it takes the diver to enter the water
C. The time it takes the diver to reach the maximum height
The axis of symmetry formula is used to find:
C. The time it takes the diver to reach the maximum height.
How to obtain the vertex of a quadratic function?The standard definition of a quadratic function is given as follows:
y = ax² + bx + c.
The leading coefficient a determines if the vertex of the quadratic function is a maximum point or a minimum point, as follows:
a > 0: minimum point.a < 0: maximum point.The x-coordinate of the vertex is given as follows, using the axis of symmetry formula:
x = -b/2a.
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Question 4 of 10, Step 1 of 1 1/out of 10 Correct Certify Completion Icon Tries remaining:0 The Magazine Mass Marketing Company has received 16 entries in its latest sweepstakes. They know that the probability of receiving a magazine subscription order with an entry form is 0.5. What is the probability that no more than 3 of the entry forms will include an order
Answer:
0.0105 = 1.05% probability that no more than 3 of the entry forms will include an order.
Step-by-step explanation:
For each entry form, there are only two possible outcomes. Either it includes an order, or it does not. The probability of an entry including an order is independent of any other entry, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
The Magazine Mass Marketing Company has received 16 entries in its latest sweepstakes.
This means that \(n = 16\)
They know that the probability of receiving a magazine subscription order with an entry form is 0.5.
This means that \(p = 0.5\)
What is the probability that no more than 3 of the entry forms will include an order?
At most 3 including an order, which is:
\(P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)\)
In which
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{16,0}.(0.5)^{0}.(0.5)^{16} \approx 0\)
\(P(X = 1) = C_{16,1}.(0.5)^{1}.(0.5)^{15} = 0.0002\)
\(P(X = 2) = C_{16,2}.(0.5)^{2}.(0.5)^{14} = 0.0018\)
\(P(X = 3) = C_{16,3}.(0.5)^{3}.(0.5)^{13} = 0.0085\)
Then
\(P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0.0002 + 0.0018 + 0.0085 = 0.0105\)
0.0105 = 1.05% probability that no more than 3 of the entry forms will include an order.
The Ice Chalet offers dozens of different beginning ice-skating classes. All of the class names are put into a bucket. The 5 P.M., Monday night, ages 8 to 12, beginning ice-skating class was picked. In that class were 64 girls and 16 boys. Suppose that we are interested in the true proportion of girls, ages 8 to 12, in all beginning ice-skating classes at the Ice Chalet. Assume that the children in the selected class are a random sample of the population.
Required:
Construct a 92% Confidence Interval for the true proportion of girls in the ages 8-12 beginning ice-skating classes at the Ice Chalet.
Answer:
The answer is "(0.73,0.87)".
Step-by-step explanation:
Given:
number of girls\(= 64\)
number of boys\(= 16\)
Total number of children\(= 64+16= 80\)
So,\(n=80\)
Calculating the value of the proportion which is given by girls:
\(\hat{p}= \frac{\text{number of girls}}{\text{total number of childrens}}\)
\(=\frac{64}{80}\\\\=\frac{8}{10}\\\\= 0.8\)
Therefore the confidence interval is:
\(\to \hat{p}\pm z_{(1-\frac{\alpha }{2})}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\\to 0.8 \pm 1.75\sqrt{\frac{0.8(1-0.8)}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{\frac{0.8(0.2)}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{\frac{0.16}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{0.002}\\\\\to 0.8 \pm 1.75 (0.04)\\\\\to 0.8 \pm 0.07\\\\\to (0.73,0.87)\)
\(\therefore \\\\\text{The lower confidence limit} = 0.73\\\\\text{The upper confidence limit} = 0.87\\\)
Solve for X!!!! Please thanks
Answer:
4
Step-by-step explanation:
Angles in a triangle add to \(180^{\circ}\).
\(7x+2+60+90=180 \\ \\ 7x+152=180 \\ \\ 7x=28 \\ \\ x=4\)
5.
a.
A study conducted at a school showed that the batteries used by calculators lasted an average of 101 days with a margin of error of ‡9 %.
What is the minimum average number of days a teacher can expect to have the batteries last in her classroom?
b.
There are roughly 279 days from the first day of school until the last day of school, the teacher has 24
TI-84 calculators and each one requires 4 triple A batteries. If the teacher can buy triple A batteries wholesale at 52 cents a battery, how much do you think she will need to spend at most on batteries for calculators over the year?
a. The teacher can expect the batteries to last at least 92.09 days on minimum average.
b. The teacher will need to spend at most $49.92 on batteries for calculators over the year.
What is minimum average day?
a. The margin of error of ‡9% means that we can be 95% confident that the true average number of days the batteries will last is within 9% of the sample average. To find the minimum average number of days a teacher can expect to have the batteries last in her classroom, we subtract the margin of error from the sample average:
Minimum average = 101 - (0.09)(101) = 92.09 days (rounded to two decimal places)
Therefore, the teacher can expect the batteries to last at least 92.09 days on average.
What is spend ?
b. The total number of batteries required for the 24 TI-84 calculators is:
24 calculators x 4 batteries per calculator = 96 batteries
The total cost of the batteries will be:
96 batteries x $0.52 per battery = $49.92 (rounded to two decimal places)
Therefore, the teacher will need to spend at most $49.92 on batteries for calculators over the year, assuming all batteries need to be replaced.
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A cylinder has a height of 20 cm and a diameter of
6 cm. What is the volume, in cubic centimeters, of the
cylinder? Use 3.14 for T.
How do we decide if a situation requires us to measure in square units or cubic units?
Answer: see below...
Step-by-step explanation:
Square units are when we are finding the surface area.
Since it is side x side, so ^2.
Cubic units are when we are finding the volume.
Since it is side x side x side, so ^3.
Create a factorable polynomial with a GCF of 6. Rewrite that polynomial in two
other equivalent forms. Explain how each form was created. (10 points)
Polynomial: 6x^3 + 12x^2 - 18x
Form 1: 6(x^3 + 2x^2 - 3x)
Explanation: This form was created by factoring out the GCF of 6 from each term in the polynomial.
Form 2: 6x(x^2 + 2x - 3)
Explanation: This form was created by factoring out the GCF of 6x from each term in the polynomial.
In both forms, the GCF of 6 allows us to factor out common factors and simplify the polynomial expression while preserving its original meaning.
To create a factorable polynomial with a greatest common factor (GCF) of 6, we can start by considering the common factors of the terms. Let's construct a polynomial:
Polynomial: 6x^3 + 12x^2 - 18x
To rewrite this polynomial in two other equivalent forms, we can factor out the GCF from each term and simplify.
Form 1: 6(x^3 + 2x^2 - 3x)
In this form, we factored out the GCF of 6 from each term: 6x^3/6 = x^3, 12x^2/6 = 2x^2, and -18x/6 = -3x.
Form 2: 6x(x^2 + 2x - 3)
In this form, we factored out the GCF of 6x from each term: 6x^3/6x = x^2, 12x^2/6x = 2x, and -18x/6x = -3.
We created each form by identifying the common factors in the polynomial and factoring them out. This process allows us to rewrite the polynomial in equivalent forms that emphasize different aspects.
In Form 1, we factored out the GCF of 6, leaving the remaining polynomial inside the parentheses. This form highlights the fact that the polynomial can be written as the product of the GCF and the remaining terms.
In Form 2, we factored out the GCF of 6x, again leaving the remaining polynomial inside the parentheses. This form emphasizes the fact that the polynomial can be written as the product of the GCF and another factor, in this case, x.
By rewriting the polynomial in these two forms, we have created equivalent expressions that emphasize the presence of the GCF and demonstrate the polynomial's factorability.
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Mr. Black bought a television set for $450.00. He later sold the television set at a loss of 30%. (a) Calculate the amount of the loss.
The amount of the loss exists 1350.
What is the amount of loss?
Amount of Loss means an amount equivalent to the outstanding balance of the principal amount, less any amounts recognized by perfecting rights under a security agreement, together with such interest as the executive director shall permit, to a maximum of such interest as may be permitted by rule.
Given: Mr. Black purchased a television set for $450.00. He subsequently sold the television set at a defeat of 30%.
From the given information, we get
\($4500\cdot \frac{30}{100}\)
simplifying, we get
\($4500\cdot \frac{30}{100}\)
= 1350
Therefore, the amount of the loss exists 1350.
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After simplification, how many terms will be there in 4x3 + 9y2 - 3x + 2 - 1?
3
6
5
4.
Answer:
Correct answer is 4 because the last 2 terms can be combined:
Step-by-step explanation:
4x3 + 9y2 – 3x + 2 – 1 = 4x3 – 3x + 9y2 + 1.
Two spoiled dogs eat a total of 18 treats in a certain amount of time. How many spoiled dogs will eat 36 treats in the same amount of time, assuming each dog eats treats at the same rate?
The number of dogs ate 36 treats is 4 dogs.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, two spoiled dogs eat a total of 18 treats in a certain amount of time.
Number of treats ate by each dog = 18/2
= 9 treats
Number of dogs ate 36 treats = 36/9
= 4 dogs
Therefore, the number of dogs ate 36 treats is 4 dogs.
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