Answer:
Dear Mary,
I understand your concerns about the cost of attending college and how it might not be worth it in the end. However, earning a college degree can significantly increase your earning potential and lead to greater job opportunities. In fact, individuals with a bachelor's degree earn an average of $1 million more over their lifetime compared to those with only a high school diploma. Moreover, pursuing a degree in chemical engineering can open doors to highly rewarding and well-paying career paths.
I agree that the published costs of attendance on college websites can be overwhelming, but keep in mind that these figures are often the maximum amount and many students receive financial aid to reduce their expenses. Financial aid comes in many forms, including scholarships, grants, work-study programs, and loans. Scholarships and grants do not have to be repaid, so it's worth exploring those options first. Loans can be daunting, but they can also be manageable if you borrow responsibly and budget accordingly.
It's understandable that you may feel uncertain about whether you qualify for financial aid or not, but it's always worth applying. Many families are surprised to find out that they qualify for aid that they didn't expect. The Free Application for Federal Student Aid (FAFSA) is the form used to determine your eligibility for federal and state financial aid, and it's free to complete. Private institutions may also require additional forms, so make sure to check each college's financial aid website for more information.
As for student loans, there are many repayment plans available, and you can choose one that works best for your budget. If you're having trouble finding a job after graduation, you can apply for deferment or forbearance to temporarily suspend your payments. It's important to have a plan in place for repayment, but it's also important not to let the fear of repayment stop you from pursuing your dreams.
I hope this information helps you make a more informed decision about your college plans. Remember, investing in your education can have long-lasting benefits and lead to a brighter future.
Best regards,
[Your Name]
Step-by-step explanation:
Write a polynomial f (x) that meets the given conditions. Polynomial of lowest degree with zeros of -2 (multiplicity 2) and 3 (multiplicity 2) and with f(0)=−108 Select one: a. f (x) = -3x4 + 6x3 + 33x2 - 18x - 108 b. f (x) = -3x4 + 6x3 + 33x2 - 36x - 108 c. f (x) = -3x4 + 6x3 - 111x2 - 36x - 108 d. f (x) = x4 - 2x3 - 11x2 + 12x - 108
f (x) = -3x4 + 6x3 + 33x2 - 18x - 108.
The correct answer is a. f (x) = -3x4 + 6x3 + 33x2 - 18x - 108, since this is a polynomial of the lowest degree (4) that has zeros of -2 (multiplicity 2) and 3 (multiplicity 2), as well as f(0)=-108. To solve this problem, use the Factor Theorem to determine the factors of the polynomial. Since the zeros are -2 and 3, the polynomial must factor into (x+2)2 and (x-3)2. This gives us the polynomial: f (x) = -3(x+2)2(x-3)2 - 108. Finally, expand the polynomial to get the answer: f (x) = -3x4 + 6x3 + 33x2 - 18x - 108.
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Vn=CBS (tn, Sn) - Sn
(a) (8 points) Find the formula for the delta-loss operator and the delta-gamma loss operator if the risk factor changes are chosen to be the log returns of S. In your calculation the Greeks C, CBS, CBS should appear as parameters.
The formula for the delta-loss operator and the delta-gamma loss operator if the risk factor changes are chosen to be the log returns of S is ΔΓL = (1/2) * CBS * (tn - ln(Sn/Sn-1))².
The delta-loss operator is given by the formula: ΔL = CBS * (tn - Sn). This represents the change in loss for a given change in the underlying risk factor, S.
The delta-gamma loss operator is given by the formula: ΔΓL = (1/2) * CBS * (tn - Sn)²s represents the change in loss for a given change in the underlying risk factor, S, and also takes into account the curvature of the loss function.
To find the formula for the delta-loss operator and the delta-gamma loss operator if the risk factor changes are chosen to be the log returns of S, we can simply substitute the log returns of S for the risk factor changes in the formulas above. The log returns of S are given by the formula: ln(Sn/Sn-1).
So, the formula for the delta-loss operator with log returns of S is: ΔL = CBS * (tn - ln(Sn/Sn-1)). And the formula for the delta-gamma loss operator with log returns of S is: ΔΓL = (1/2) * CBS * (tn - ln(Sn/Sn-1))².
In these formulas, the Greeks C, CBS, and CBS appear as parameters, as requested. These parameters represent the sensitivity of the option value to changes in the underlying risk factor, S.
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MTH 438 AO Online Spring 2022 Bordet Quiz: Review Test II (Quiz 2) Question 11 of 40 > This quiz: 40 point(s) possible This question: 1 point(s) possible A hospital experiment involves two different waiting line configurations for patients arriving for admission. The waiting times (in seconds) are recorded with a single line configuration that feeds four stations and another configuration with individual lines at the four stations. Fi two samples, then compare the two sets of results. Specifically, determine whether there is a difference between the two data sets that is not apparent from a comparison of the measures of center. If so, what is it?
Conduct a hypothesis test or calculate and compare the measures of center and spread for each sample.to determine if there is a statistically significant difference between the two waiting line configurations.
1. We can use a two-sample t-test to compare the means of the two samples and determine if the difference is statistically significant. The null hypothesis would be that there is no difference between the means of the two samples, and the alternative hypothesis would be that there is a significant difference between the means.
If the p-value is less than the significance level (e.g., 0.05), we can reject the null hypothesis and conclude that there is a statistically significant difference between the waiting times for the two configurations.
2. The two samples of waiting times from the hospital experiment can be compared by using the measures of center, such as the mean and median, and the measures of spread, such as the standard deviation and range.
Calculate the mean and median of each sample. The mean is the sum of the data values divided by the number of data values, and the median is the middle value when the data values are arranged in ascending order.
In conclusion, to compare the two samples from the hospital experiment, conduct a hypothesis test or calculate and compare the measures of center and spread for each sample.
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The spinner shown has six equal-size sections and is spun twice.
What is the probability that the sum of the numbers spun is 4? Express as a percent rounded to the nearest tenth if necessary.
Therefore , the solution of the given problem of probability comes out to be the likelihood of obtaining a sum of 4 is about 8.3%.
What is probability?Calculating the likelihood that a claim is true or that a specific event will occur is the primary objective of the branch of mathematics known as parameter estimation. Chance can be represented by any number between 0 and 1, at which 1 usually represents certainty and 0 typically represents possibility. A probability diagram shows the chance that a specific event will occur.
Here,
There are a total of 6 x 6 = 36 results when the spinner is spun twice because there are six sections on it, each with a number from 1 to 6.
We can make a list of every result and determine how many times the sum is 4:
=> 1, 3
=> 2, 2
=> 3, 1
There are three results, and their total is 4. As a result, 3/36 = 1/12 is the chance of receiving a sum of 4. We can multiply this by 100 and tenth it to represent it as a percentage:
=> 1/12 x 100 ≈ 8.3
In other words, the likelihood of obtaining a sum of 4 is about 8.3%.
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Alya loves to read. She reads 90 pages in half an hour. How many pages does she read per minute?
Answer:
3 pages per minuet 90pages/30min=3 pages per min
Step-by-step explanation:
Answer:
3 pages
Step-by-step explanation:
Create a ratio:
30 minutes is equal to 1 hour
90 pages/30 minutes
Divide 90/30
90/30=3
Alya reads 3 pages per minutes
Hope this helped you!
Stay safe and have a good day/night! :)
Lennox Madrid Polynomial Long Division (Level 1) Feb 18, 1:52:23 PM Use the long division method to find the result when 2x^(3)+4x^(2)+7x+5 is divided by x+1.
The result of the given polynomial division (2x^(3)+4x^(2)+7x+5 divided by x+1) using long division method is 2x^(2) + 2x + 5.
To find the result of the given polynomial division using long division method, we need to follow the steps below:
Step 1: Write the dividend and the divisor in long division form.
______________________
x + 1 | 2x^(3) + 4x^(2) + 7x + 5
Step 2: Divide the first term of the dividend by the first term of the divisor. In this case, 2x^(3)/x = 2x^(2). Write the result above the dividend.
2x^(2) _______________
x + 1 | 2x^(3) + 4x^(2) + 7x + 5
Step 3: Multiply the result by the divisor and write the product under the dividend.
2x^(2) _______________
x + 1 | 2x^(3) + 4x^(2) + 7x + 5
- (2x^(3) + 2x^(2))
---------------------
Step 4: Subtract the product from the dividend and bring down the next term.
2x^(2) _______________
x + 1 | 2x^(3) + 4x^(2) + 7x + 5
- (2x^(3) + 2x^(2))
---------------------
2x^(2) + 7x + 5
Step 5: Repeat the process until the degree of the remainder is less than the degree of the divisor.
2x^(2) + 2x + 5 _______________
x + 1 | 2x^(3) + 4x^(2) + 7x + 5
- (2x^(3) + 2x^(2))
---------------------
2x^(2) + 7x + 5
- (2x^(2) + 2x)
---------------------
5x + 5
- (5x + 5)
---------------------
0
Step 6: Write the final result as the quotient plus the remainder over the divisor.
[tex](2x^{3} + 4x^{2} + 7x + 5)/(x + 1) = 2x^{2} + 2x + 5[/tex]
Therefore, the answer is 2x^(2) + 2x + 5
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Describe the transformations of g(x) as it relates to the parent function f(x)=2^(x). g(x)=-7(2)^(10x-3)+4 Select all the transformations that apply:
The transformations of g(x) as it relates to f(x)=2^(x) are as follows:
- Vertical stretch by a factor of -7
- Horizontal compression by a factor of 10
- Horizontal shift to the right by 3/10
- Vertical shift up by 4
The transformations of g(x) as it relates to the parent function f(x)=2^(x) are:
- A vertical stretch by a factor of -7, since the coefficient of the parent function is -7.
- A horizontal compression by a factor of 10, since the coefficient of x in the exponent is 10.
- A horizontal shift to the right by 3/10, since the term inside the exponent is (10x-3).
- A vertical shift up by 4, since the constant term added to the function is 4.
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Raj lent out Rs 65,000 for 3 years at 25% per annum and borrowed Rs 60,000 for 2 years at 15% per annum. How mach did he gain or lose?
Raj profited Rs 30,750 from lending and borrowing money.
Raj gained from lending out Rs 65,000 for 3 years at 25% per annum and lost from borrowing Rs 60,000 for 2 years at 15% per annum.
To find out how much he gained or lost, we need to calculate the interest earned from lending and the interest paid from borrowing and then find the difference between them.
Interest earned from lending = Principal x Rate x Time
= Rs 65,000 x 25% x 3
= Rs 48,750
Interest paid from borrowing = Principal x Rate x Time
= Rs 60,000 x 15% x 2
= Rs 18,000
Difference between interest earned and interest paid = Rs 48,750 - Rs 18,000
= Rs 30,750
Therefore, answer is +Rs. 30,750.
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how many times greater is 17*10^8 than 4*10^8
Answer:
The answer for 17x10^8 is 1,700,000,000 and the answer for 4x10^8 is 400,000,000
subtract them.
Hope that helps you out!
If your grades 77% and you get 0/20pts on an final, what would your grade be?
Answer:
Assuming that the final exam is worth 20% of the final grade, we can use the following formula to calculate the overall grade:
overall grade = (0.8 * current grade) + (0.2 * final exam grade)
Plugging in the values given in the problem, we get:
overall grade = (0.8 * 77%) + (0.2 * 0%) = 61.6%
Therefore, if you get a score of 0/20 on the final exam, your overall grade would be 61.6%.
A bus covers a certain distance in 3hours 20 minutes ata n average speed of 45km/h.How long will it take to cover the some distance at a speed of 36km/h?
Answer:
Let's first convert the time taken to cover the distance at 45 km/h into minutes:
3 hours and 20 minutes = 3 x 60 + 20 = 200 minutes
The distance covered by the bus at 45 km/h is:
distance = speed x time
distance = 45 km/h x 200 minutes
distance = 9000/60 km
distance = 150 km
Now, let's use the distance and the new speed of 36 km/h to calculate the time it would take to cover the same distance:
distance = speed x time
150 km = 36 km/h x time
time = distance / speed
time = 150 km / 36 km/h
time = 4.1667 hours or 4 hours and 10 minutes (rounded to the nearest minute)
Therefore, it would take approximately 4 hours and 10 minutes to cover the same distance at a speed of 36 km/h.
Which of these is a pythagorean triple?
20, 48, 52
10, 26, 89
1, 2, 3
15, 18, 21
Answer:
Step-by-step explanation: the answer is 20, 48, 52
A picoliter is three metric units larger than a femtoliter. How many centiliters are in a picoliter?
The amount of centiliters in a picoliter is A = 1 x 10⁻¹⁰ cL
What is unit conversion?In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.
The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.
A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.
Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.
Given data ,
Let the first unit of measurement be represented as A
where A = centiliters
Now , the amount of Liters in a centiliter is
From the unit conversion ,
1 L = 100 cL
And , 1 cL = 10⁻² L
Now , the amount of Liters in a picoliter is
1 L = 10¹² picoliters
And , amount of centiliters in a picoliter is A
where A = 10⁻¹⁰ cL
So , the 1 pL = 10⁻¹⁰ cL
Hence , the unit conversion of liters is solved
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PLEASE HELP
Write the equation of the line with a y-intercept of (4,0) and an x-intercept of (0,6)
Answer:
y = -3/2x + 6
Step-by-step explanation:
Slope m = (y2 - y1)/(x2 - x1)
m = (6 - 0)/(0 - 4) = 6/-4 = -3/2
Slope-intercept form is y = mx + b
Substitue m = -3/2, y = 0, x = 4
0 = -3/2(4) + b
b = 6
y = -3/2x + 6
pls help me solve this
Answer:
because there was an issue the first time you did this for you can reach me by the researchers will ensure you have all available upon the first term or the receiver to the wrong I am not sure what is your educational sectors to be seen in this podcast encourage students and how to answer the questions know what they are doing for the study to be seen before turning in to a Research paper is the one that has been provided by a Goggle of a student who is known for its own thoughts on a great topic that will be implemented in a far way to encourage you and the effective to make my life easier reading a book english and a web page like that is always fighting for a free time and I mean the only thing I want do is make a essay My own and then I can Did it will also cause you to change your life
a boy eats (1)/(4 )of a loaf at breakfast and (5)/(8) of it for lunch. what fraction of the loaf is left?
(1)/(8) fraction of the loaf is left. The fraction of the loaf that is left can be found by subtracting the fraction of the loaf that was eaten at breakfast and the fraction that was eaten at lunch from the whole loaf.
First, we need to find a common denominator for the fractions (1)/(4) and (5)/(8). The smallest common denominator for these fractions is 8.
To convert (1)/(4) to a fraction with a denominator of 8, we can multiply both the numerator and denominator by 2:
(1)/(4) * (2)/(2) = (2)/(8)
Now we can subtract the fractions:
(8)/(8) - (2)/(8) - (5)/(8) = (1)/(8)
So, the fraction of the loaf that is left is (1)/(8).
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Can someone please help with this Geometry.. it’s so hard
Answer:
112m
Step-by-step explanation:
The area of the given Parallelogram is 112 m².
given that the parallelogram in fig.. We splits this parallelogram in three parts, that is, first is triangle ,second is square and third is again a triangle.
Since, the area of triangle:
[tex]\mathrm{Area\ of\ triangle}=\frac{1}{2}[/tex] × base × height
and the [tex]\mathrm {Area\ of\ Square}=[/tex] width × height.
Here in triangle, base=6 and height=8
[tex]\mathrm {Area\ of\ Square}=[/tex]
therefor the [tex]\mathrm{Area\ of\ triangle}=\frac{1}{2}[/tex]×6×8
=24m².
Here in square, width=8 and height=8
therefore the [tex]\mathrm {Area\ of\ Square}=[/tex] 8×8
=64m².
Area of first split, that is, triangle is 24 m².
Area of second split, that is, square is 64 m².
Area of third split, that is, again a triangle is 24 m².
Total area= 24+64+24
=112 m².
Therefor the total area of parallelogram is 112 m².
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Given that,
x + 1: 3y = 1:7 and 2x : y + 3 = 2:5
Find x and y
The value of 'x' and 'y' in x + 1 : 3y = 1 : 7 and 2x : y + 3 = 2 : 5.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
We know, We can write a : b as, a/b.
Therefore, The given equations can be formed as,
(x + 1)/3y = 1/7 and 2x/(y + 3) = 2/5.
7x + 7 = 3y.
7x - 3y = - 7...(i)
And,
10x = 2y + 6.
10x - 2y = 6...(ii)
Now, Multiplying eqn(i) by 10 and (ii) by 7 we have,
70x - 30y = - 70...(iii) and 70x - 14y = 42...(iv)
Now, By Subtracting (iii) and (iv) we have,
- 16y = - 112
y = 7 and hence x = 2
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determine the next three terms of each of the number patterns 1 2 4 8 16 32
Answer:
Determine the next three terms of each of the number patterns 1 2 4 8 16 32
1, 2, 4, 8, 16, 32, 64, 128, 256
Step-by-step explanation:
You're welcome.
Let u = 3i - 2j + 4k, v = -7i + 4j - 5k, w = i + j + k
a.) calculate w(u + v)
b.) calculate the angle between u and w
c.) calculate proy uv
a.) The value of this vector expression w(u + v) is
b) The angle between the vectors u and v is 54.73 degrees.
c) the proy uv is -147/25 i + 98/25 j - 196/25 k
a) First we will have to find the sum of the vectors u+v= (3i - 2j + 4k) + (-7i + 4j - 5k) = (-4i + 2j - 1k)
now the dot product of w and (u+v) is
= (i + j + k). (-4i + 2j - 1k)
= -4+2-1 = -3
b.)
The angle between u and w can be calculated using the dot product: u.w = |u|.|w| cos ∅
u • w = (3i - 2j + 4k) • (i + j + k) = 3 + (-2) + 4 = 5
|u| = √(3² + (-2²) + 4²) = √(25) = 5
|w| = √(1²+ 1² + 1²) = √(3) =3
The angle between u and w can be calculated using the formula: angle ∅ = cos⁻¹(u • w / (|u| • |w|))
angle = cos⁻¹(5 / (5 • √(3))) = cos⁻¹(1/ √3) = 0.6435 radians, or 54.73 degrees.
c.)
To calculate the projection of u onto v, use the formula: proy uv = (u•v/|u|^2) * u
here u.v = (3i - 2j + 4k).(-7i + 4j - 5k)= -49
|u|= 5
proy uv = (-49*(3i - 2j + 4k))/5² = -147/25 i + 98/25 j - 196/25 k
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help with this please
Answer:30
Step-by-step explanation:
A person walks into a insurance company looking for life insurance. If they die, their family is to receive $130,000. The insurance company calculates that their chance of dying is .0014. Round answers to two decimals if needed. What is the expected payout for the insurance company? $ If the insurance company wants to charge 15% over the expected payout, how much should the insurance company charge the person?
a) The expected payout for the insurance company is $182.
b) If the insurance company wants to charge 15% over the expected payout, the insurance company should charge the insured $27.30.
What is the expected payout?In a game of chance, the expected payout is the expected value of the game minus the cost.
For the insurance company, the expected payout is the probability-weighted value of the insurance undertaking.
The expected payout is the product of the amount to be paid to the insured family and the probability or chance of the insured dying.
The amount the insured family will receive = $130,000
The chance of the insured dying = 0.0014
The expected payout = $182 ($130,000 x 0.0014)
Charge over the expected payout = 15%
The amount the insurance company should charge the person = $27.30 ($182 x 15%)
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Solve the trigonometric equation where x is in radians.
3Cos2x + Sinx = 1
Please walk through the steps you take and write down any assumptions or calculations you use.
The final answer is x ≈ 0.73 radians or x ≈ -0.52 radians.
To solve the trigonometric equation 3Cos2x + Sinx = 1, we will need to use some trigonometric identities and algebraic manipulation. Here are the steps:
Use the double angle identity for cosine to rewrite the equation:
3(1 - 2Sin^2x) + Sinx = 1
Simplify the equation by distributing and rearranging terms:
6Sin^2x - Sinx - 2 = 0
Use the quadratic formula to solve for Sinx:
Sinx = (-(-1) ± √((-1)^2 - 4(6)(-2))) / (2(6))
Simplify the expression:
Sinx = (1 ± √49) / 12
Solve for the two possible values of Sinx:
Sinx = (1 + 7) / 12 = 8/12 = 2/3
Sinx = (1 - 7) / 12 = -6/12 = -1/2
Use the inverse sine function to find the possible values of x in radians:
x = Sin^-1(2/3) ≈ 0.73 radians or x = Sin^-1(-1/2) ≈ -0.52 radians
Check the solutions by plugging them back into the original equation:
3Cos2(0.73) + Sin(0.73) ≈ 1
3Cos2(-0.52) + Sin(-0.52) ≈ 1
Both solutions are valid, so the final answer is x ≈ 0.73 radians or x ≈ -0.52 radians.
Throughout the calculations, we made the assumption that x is in the domain of the trigonometric functions and that the equation has real solutions. We also used the double angle identity for cosine and the quadratic formula to solve the equation.
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Given thatf(x)=x2−3andg(x)=−5x+2, find(gt)(52), if it exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A.(gf)(52)=B. The value for(gf)(52)does not exis
From function f(x)=x2−3andg(x)=−5x+2,The correct answer is A. (gf)(52)= -6.75
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between a variable quantity and another variable quantity.
To find (gf)(52), we first need to find f(52) and then substitute that value into g(x).
First we need to Find f(52)
f(x)=x2−3
f(52)=(52)2−3
f(52)=52−3
f(52)=1.75
Then we can Substitute f(52) into g(x)
g(x)=−5x+2
g(f(52))=−5(1.75)+2
g(f(52))=−8.75+2
g(f(52))=−6.75
Therefore, (gf)(52)=−6.75
The final answer is A. (gf)(52)=−6.75
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What’s the Lateral Surface area and the Total surface area
The lateral surface and the total surface areas of the prism are 96 in² and 2304 in² respectively.
What is surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Given is prism, we need to find the lateral surface and the total surface areas,
Lateral surface area = (perimeter of base) × length
Perimeter of base = 3 × 4 = 12 in
length = 8 in
The lateral surface area = 12 × 8 = 96 in²
Total surface area = (perimeter of base) × length × 2(base area)
= 96 × 2(3×4)
= 96 × 24
= 2304 in²
Hence, the lateral surface and the total surface areas of the prism are 96 in² and 2304 in² respectively.
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Please Help I need the answer now
Health club A costs $18 more than health club B charges.
What are linear and non-linear functions?A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x - 2 depicts a linear function because it is a straight line in the coordinate plane.
Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.
An example of a non-linear function is a quadratic function.
Given, The equation y = 35x + 40 represents health club B charges.
And the equation for health club A is, 35x + 58.
Now, To obtain how much more health club A charges we have to take the difference which is,
= (35x + 58) - (35x + 40).
= 35x - 35x + 58 - 40.
= $18 more.
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will mark brainiest which set if side lengths form a right triangle
Answer:
15m,20m,25m
Step-by-step explanation:
15 cm, 20cm and 25cm follows the same pattern as the 3-4-5 pattern of the Pythagorean triplet. The Pythagorean triplet holds true.
Jane deposits $1,250 quarterly into a retirement account that pays interest at the rate of 3.25% per year compounded continuously. How much will she have in her account at the end of 10 years?
1) $58,802.20
2) $59,081.64
3) $59,866.79
4)$60,358.28
Jane deposits $1,250 quarterly into a retirement account that pays interest at the rate of 3.25% per year compounded continuously. At the end of 10 years, she will have $60,358.28 in her account. The correct answer is option 4
To solve the problem, we can use the formula for continuous compounding given by:[tex]A = Pe^{rt}[/tex], where,A is the amount at the end of the investment period, P is the principal (the initial amount deposited), e is Euler's number, which is approximately equal to 2.71828, r is the annual interest rate (expressed as a decimal), t is the time period in years
In this problem, P = $1,250, r = 0.0325 (3.25% as a decimal), and t = 10 years. We need to find A, the amount at the end of 10 years. Substituting the values in the formula, we get:
[tex]A = 1250e^{0.0325 × 10} ≈ $60,358.28.[/tex]
Therefore correct answer is option 4
To know more about Euler's number here:
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Factor 39x3y2 - 52x2y2 completely
Answer:
here is your answer
Step-by-step explanation:
13x^2y^2 (3x-4)
Please help I’ll give brainliest!!
Answer:
[tex]\large\boxed{\tt (3x+4)(x+7)=3x^{2}+25x+28}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked to factor the given trinomial.}[/tex]
[tex]\large\underline{\textsf{What is a Trinomial?}}[/tex]
[tex]\textsf{A Trinomial is an expression that has 3 terms. No more, and no less.}[/tex]
[tex]\large\underline{\textsf{What is Factoring?}}[/tex]
[tex]\textsf{Factoring is a way to split a trinomial into 2 binomials. Binomials have 2 terms.}[/tex]
[tex]\textsf{Factoring helps us to find the possible values of x, setting the binomials equal to 0.}[/tex]
[tex]\textsf{We don't have to do this for our problem though.}[/tex]
[tex]\large\underline{\textsf{Factoring Looks Like;}}[/tex]
[tex]\tt x^{2} + x + 1 = (x+?)(x+?)[/tex]
[tex]\tt The \ 2 x's \ multiply \ to \ equal \ x^{2}.[/tex]
[tex]\textsf{The x's multiply with the whole numbers inside the opposite binomial.}[/tex]
[tex]\large\underline{\textsf{To Factor;}}[/tex]
[tex]\textsf{Factoring is a little tedious, we must be careful and make sure we are finding}[/tex]
[tex]\textsf{the correct factors for factoring to work out. Remember that the trinomial has to}[/tex]
[tex]\textsf{equal the 2 binomials being multiplied.}[/tex]
[tex]\large\underline{\textsf{Solving;}}[/tex]
[tex]\tt 3x^{2} + 25x + 28[/tex]
[tex]\textsf{3x can't be split apart in 2 whole numbers, so it remains 3 in one of the binomials.}[/tex]
[tex]\underline{\textsf{We should have;}}[/tex]
[tex]\tt (3x+?)(x+?)[/tex]
[tex]\textsf{We don't have to worry about} \ \tt 3x^{2} \ \textsf{anymore.}[/tex]
[tex]\textsf{Our goal is to find factors of 28 that multiply to get to 25x and 28.}[/tex]
[tex]\textsf{We might need to try many factor pairs before we have our factored expression.}[/tex]
[tex]\underline{\textsf{Factors of 28;}}[/tex]
[tex]\tt 28: 1, 2, 4, 7, 14, 28.[/tex]
[tex]\textsf{We should substitute the factor pairs in, then FOIL.}[/tex]
[tex]\textsf{Foiling is multiplying 2 binomials together.}[/tex]
[tex]\underline{\textsf{Substitute;}}[/tex]
[tex]\tt (3x+1)(x+28) = 3x^{2}+85x+28[/tex]
[tex]\textsf{Incorrect Factor Pair Whether Flipped or Not.}[/tex]
[tex]\tt (3x+2)(x+14)=3x^{2}+44x+28[/tex]
[tex]\textsf{Incorrect Factor Pair Whether Flipped or Not.}[/tex]
[tex]\large\boxed{\tt (3x+4)(x+7)=3x^{2}+25x+28}[/tex]
[tex]\textsf{Correct Factor Pair. If these factors were flipped it would be incorrect.}[/tex]