Answer:
yes, you do.
FYI: 1/4 of an hour is 15 minutes
Suppose that at your university, you will pay \( \$ 21,000 \) each year for tuition, \( \$ 1,000 \) each year for textbooks, and \( \$ 13,000 \) per year for room and board. Before you left for colleg
The opportunity cost of completing an undergraduate education in four years is $60,000.
To calculate the opportunity cost of completing an undergraduate education in four years, we need to compare the costs of attending college to the potential earnings from the job offer as an Assistant Manager.
The total cost of attending college for four years includes tuition, textbooks, and room and board:
Total cost of college = Tuition + Textbooks + Room and board
= $21,000/year * 4 years + $1,000/year * 4 years + $13,000/year * 4 years
= $84,000 + $4,000 + $52,000
= $140,000
If you decided not to go to college and accepted the job offer as an Assistant Manager, you would earn $50,000 per year for four years:
Potential earnings from job offer = Annual salary * Number of years
= $50,000/year * 4 years
= $200,000
The opportunity cost of completing an undergraduate education in four years is the potential earnings from the job offer minus the total cost of attending college:
Opportunity cost = Potential earnings - Total cost of college
= $200,000 - $140,000
= $60,000
Therefore, the opportunity cost of completing an undergraduate education in four years is $60,000.
Question-
Suppose that at your university, you will pay $21,000 each year for tuition, $1,000 each year for textbooks, and $13,000 per year for room and board. Before you left for college. your boss at Panda offered you a job as an Assistant Manager paying $50,000 per year.
Assume that if you decided not to go to college, your parents would NOT let you live at. home.
What is your opportunity cost in completing an undergraduate education in four years?
Learn more about opportunity cost from the given link
https://brainly.com/question/3611557
#SPJ11
to construct a confidence interval using matched pairs, we must compute the standard deviation of the
We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.
What is the difference between standard deviation and confidence interval?The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.
According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.
Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.
The difference between the values in the matched pairs' standard deviation is calculated.
The complete question is:
To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.
To learn more about standard deviation refer to:
https://brainly.com/question/475676
#SPJ4
We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.
What is the difference between standard deviation and confidence interval?
The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.
According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.
Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.
The difference between the values in the matched pairs' standard deviation is calculated
To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.
To learn more about standard deviation visit:
brainly.com/question/475676
#SPJ4
Round 161.69 to the nearest tenth.
Answer:
161.7
Step-by-step explanation:
1. Choose your answer inside the box.
vertex
face
net
solid figures
sphere
cone
edge
rectangular prism
cube
square
pentagonal prism
pyramid
cylinder
rectangle
1. Flat parts of the solid figure.
2. The line where two faces meet.
3. The point where three edges meet.
4. Closed figure that can be folded into a closed 3-dimensional figure. It is a pattern
you can form into solid figures.
5. A polyhedron whose bases are congruent polygons and whose lateral faces are
parallelograms.
6. A polyhedron whose base is a polygon. The lateral faces are triangles
7. A solid figure with a curved surface of points that are all of the same distance from
the other
8. A solid figure with curved surfaces and one circular base
9. A solid figure with curved surfaces and that has two circular bases that are
congruent and parallel
10. A polygon with four equal sides and angles.
Answer:
I AM sure u will find answers in googl
let me go check
Step-by-step explanation:
FaceEdgeVertexNetPrism PiramidSphereConeCylinder SquareEvaluate The Integral By Reversing The Order Of Integration. Integral^64 _0 Integral^4 _3 Squareroot Y 3e^X^4 Dx Dy
Answer : by reversing the order of integration, we obtained the integral ∫[3 to 4] 2/3 * 64^(3/2) * e^(x^4) dx. However, this integral cannot be evaluated analytically.
To reverse the order of integration, we need to rewrite the given integral by interchanging the order of integration and the limits of integration.
The original integral is:
∫[0 to 64] ∫[3 to 4] √y * 3e^(x^4) dx dy
Let's reverse the order of integration:
∫[3 to 4] ∫[0 to 64] √y * 3e^(x^4) dy dx
Now, we can evaluate the integral by integrating with respect to y first and then integrating with respect to x.
∫[3 to 4] ∫[0 to 64] √y * 3e^(x^4) dy dx
Integrating with respect to y:
∫[3 to 4] [∫[0 to 64] √y * 3e^(x^4) dy] dx
The inner integral becomes:
∫[0 to 64] √y * 3e^(x^4) dy = 2/3 * (y^(3/2)) * e^(x^4) | [0 to 64]
= 2/3 * (64^(3/2)) * e^(x^4) - 2/3 * (0^(3/2)) * e^(x^4)
= 2/3 * 64^(3/2) * e^(x^4)
Substituting this result back into the outer integral:
∫[3 to 4] 2/3 * 64^(3/2) * e^(x^4) dx
Now, we can evaluate the integral with respect to x:
2/3 * 64^(3/2) * ∫[3 to 4] e^(x^4) dx
Unfortunately, the integral with respect to x in this form does not have a standard closed-form solution. Therefore, we cannot evaluate it analytically.
In summary, by reversing the order of integration, we obtained the integral ∫[3 to 4] 2/3 * 64^(3/2) * e^(x^4) dx. However, this integral cannot be evaluated analytically.
Learn more about analytically : brainly.com/question/29804070
#SPJ11
the sum of three consecutive no. is 7 and less than 700 .find the no.
Answer:
Sorry, the question isn't clear enough to answer.
Step-by-step explanation:
Sorry, the question isn't clear enough to answer.
HELP PLEASE HELP I HAVE TO GET 5 MORE OF THESE QUESTIONS DONE IN 15 MINUTES
Answer:I think the answer is B
Step-by-step explanation:
Answer:
This is actually really confusing cause there is to options its either B or C
Step-by-step explanation:
If a food item with an original (AP) weight of 4 pounds at a cost of $1.10 per pound yields a servable weight of 2 pounds, what is the cost per servable pound for this food item? a. $0.50 b. $1.50 c. $2.20 d. $4.40
Given that the cost is $1.10 per pound, we can calculate the cost per servable pound by dividing the total cost ($1.10 * 4 pounds) by the servable weight (2 pounds). Therefore, the correct option is c. $2.20.
The original weight of the food item is 4 pounds, and the cost per pound is $1.10. Therefore, the total cost of the food item is 4 pounds * $1.10 = $4.40.
The servable weight of the food item is 2 pounds. To find the cost per servable pound, we divide the total cost ($4.40) by the servable weight (2 pounds):
Cost per servable pound = Total cost / Servable weight = $4.40 / 2 pounds = $2.20.
Hence, the cost per servable pound for this food item is $2.20. Therefore, the correct option is c. $2.20.
To learn more about cost click here, brainly.com/question/14566816
#SPJ11
Help!!
The number of yards Kyle travels on in-line skates, y, varies directly with the amount of time spent skating, t. When Kyle skates for 1.5 min, he can travel 351 yd.
Which equation shows this direct linear variation?
y = 526.5t
Y = 234t
y = 175.5t
y = 352.5t
Answer:
y = 234t
Step-by-step explanation:
Divide the equation by t on both sides. See image.
Mia has 12 boxes of chocolate chip cookies and 24 boxes of sugar cookies. Each box of chocolate chip cookies has 36 cookies. Each box of sugar cookies has 84 cookies. Mia says she has about 1,800 cookies in all. Is her answer reasonable? Explain.
Yes, because (12 x 20) + (40 x 80) = 3,400
Yes, because (12 x 80) + (40 x 40) = 2,560
No, because (12 x 40) + (20 x 80) = 2,080
No, because (12 x 80) + (20 x 40) = 1,760
Answer:
The answer given by Mia is not reasonable cause, when we sum up the data given by her we will conclude that the expression should be like (12*36) + (24*84) = 1800.
Step-by-step explanation:
Mia has 12 boxes of chocolate chip cookies and 24 boxes of sugar cookies.
Each box of chocolate chip cookies has 36 cookies.
Each box of sugar cookies has 84 cookies.
So, the total number of chocolate chips cookies will be = 12 * 36 ----(i)
And the total number of sugar cookies will be = 24 * 84 -----(ii)
As Mia says she has about 1,800 cookies in all.
So, we can write (i) and (ii) combined as,
(12*36) + (24*84) = 1800
The answer given by Mia is not reasonable cause, when we sum up the data given by her we will conclude that the expression should be like (12*36) + (24*84) = 1800.
Explanation: No, her answer is not reasonable.
Step by Step solution:
According to the given information, Mia has 12 boxes of chocolate chip cookies and 24 boxes of sugar cookies.
Now, each box of chocolate chip cookies has 36 cookies which means she has (36 × 12) = 432 chocolate chip cookies in total, using the unitary method.
Also, each box of sugar cookies has 84 cookies which means she has (84 × 24) = 1008 sugar cookies in total, using the unitary method.
Mia will then have with her in total of [(36 × 12) + (84 × 24)] = 1440 cookies.
It is an incorrect fact that Mia says that she has about 1800 cookies in total.
Hence, Mia has 1440 cookies in total.
To know more about the unitary method:
https://brainly.com/question/24587372
#SPJ1
For each pair of signals x() and ℎ() given below, compute the convolution integral y() = x() ∗ ℎ()
1) x() = () and ℎ() = ^(−2) ( − 1)
The convolution integral y(t) = x(t) * h(t) for the given pair of signals x(t) and h(t) can be computed as follows:
y(t) = ∫[x(τ) * h(t - τ)] dτ
1) x(t) = δ(t) and h(t) = δ(t - 2) * (t - 1)
The convolution integral becomes:
y(t) = ∫[δ(τ) * δ(t - τ - 2) * (τ - 1)] dτ
To evaluate this integral, we consider the properties of the Dirac delta function. When the argument of the Dirac delta function is not zero, the integral evaluates to zero. Therefore, the integral simplifies to:
y(t) = δ(t - 2) * (t - 1)
The convolution result y(t) is equal to the shifted impulse response h(t - 2) scaled by the factor of (t - 1). This means that the output y(t) will be a shifted and scaled version of the impulse response h(t) at t = 2, delayed by 1 unit.
In summary, for x(t) = δ(t) and h(t) = δ(t - 2) * (t - 1), the convolution integral y(t) = x(t) * h(t) simplifies to y(t) = δ(t - 2) * (t - 1).
Learn more about integral here:
https://brainly.com/question/31433890
#SPJ11
C. How can you tell by just looking at the coefficients of -2x2 and 2x2 that the terms will add to zero?
Answer:
-2x^2 + 2x^2 is equal to zero, -2+2=0 the negative 2 cancels the positive 2
Step-by-step explanation:
fill in the blanks pls, ignore the ones inside it
For n=0, we have
\(f(0)=3\)for n=1, we have
\(\begin{gathered} f(1)=2f(0) \\ f(1)=2\cdot3=6 \end{gathered}\)for n=2, we obtain
\(\begin{gathered} f(2)=2f(1) \\ f(2)=2\cdot6=12 \end{gathered}\)for n=3, we have
\(\begin{gathered} f(3)=2f(2) \\ f(3)=2\cdot12=24 \end{gathered}\)and so on. Then, the pattern is given by
\(\begin{gathered} f(n)=3\cdot2^n\text{ for n}\ge1 \\ \text{with f(0)=3} \end{gathered}\)Lets check our formula.
When n=1, we have
\(f(1)=3\cdot2=6\)when n=2, we have
\(f(2)=3\cdot2^2=3\cdot4=12\)when n=3, we have
\(f(3)=3\cdot2^3=3\cdot8=24\)han earns $33,00 for babysitting 4 hours. at this rate, how much will he earn if he babysits for 7 hours?
Answer:
$57.75
Step-by-step explanation:
7×33/4
231/4
57.75
24of a nunber is what fraction of the number
Answer:
24% can be written as 0.24 which is 24 / 100 or 6/25.
Answer:
6/25
Step-by-step explanation:
24%=0.24
0.24=24/100
Simplified: 6/25
Examine this geometric sequence of depreciating car values: $20,000 $18,400 $16,928 $15,573. 76 if the original price of the car was $20,000, what is the depreciation rate? what will the car be worth after 6 years?.
The depreciation rate of a geometric sequence can be found by multiplying the difference of 1 and r by 100. The depreciation rate and the price after 6 years are given as 8% and $13,181.63 respectively.
How to know whether a given sequence is geometric?In order to check a geometric sequence, find the ratios of the consecutive terms of the given sequence. If they are equal, the given sequence is geometric.
The given geometric sequence is as below,
$20,000, $18,400, $16,928 and $15,573.
The common ratio is given as,
r = 18400/20000
= 0.92
Since, r < 1, the sequence is decreasing.
Thus, the rate of depreciation can be found as,
Depreciation rate = (1 - 0.92) × 100%
= 8%.
The price after 6 years is given by finding the 6th term of the given geometric sequence as,
a₆ = a × r⁵
= 20000 × 0.92⁵
= 13181.63
Hence, the depreciation rate is given as 8% and the price of the car after 6 years is $13,181.63.
To know more about geometric sequence click on,
https://brainly.com/question/11266123
#SPJ1
please help answer this.
An expression that can be sued to approximate m< U include the following: B. sin⁻¹(0.38).
How to determine the angle U?In order to determine the ratios for sin U, we would apply the basic sine trigonometry ratio because the given side lengths represent the opposite side and hypotenuse of a right-angled triangle;
sin(θ) = Opp/Hyp
Where:
Opp represent the opposite side of a right-angled triangle.Hyp represent the hypotenuse of a right-angled triangle.θ represent the angle.For the sine ratio, we have:
sin(θ) = Opp/Hyp
sin(U) = 7.5/19.5
U = sin⁻¹(0.38)
Read more on right angle triangle and trigonometric function here: brainly.com/question/24349828
#SPJ1
Pls answer fast A 4-column table with 4 rows. Column 1 is labeled Principal (dollars) with entries 3,300, 3,300, 3,300, 3,300. Column 2 is labeled Interest Rate with entries 0.045, b, 0.045, 0.045. Column 3 is labeled Years with entries 1, 3, 7, c. Column 4 is labeled Interest (dollars) with entries a, 445.50, 1,039.50, 1,188.00. Find the values to complete the table. a = b = c =
Answer:
a=148.50
b=0.045
c=8
Step-by-step explanation:
i just took the quiz on edgeunity
All the value of variables are,
a = 148.50, b = 0.05, and c = 8
Now, For the values of a, b, and c in the table, we can use the formula for simple interest:
I = Prt
where I is the interest earned in dollars,
P is the principal in dollars,
r is the interest rate per year as a decimal, and t is the time in years.
Hence, By Using this formula, we can solve for the missing values in the table as follows:
For the first row, we have
P = 3300, r = 0.045, and t = 1.
We can plug in these values and the given value of a = into the formula to solve for a:
a = Prt
a = 3300 x 0.045 x 1
a = 148.50
Therefore, a = 148.50 for the first row.
For the second row, we have P = 3300, t = 3, and I = 445.50.
We can plug in these values and solve for r:
I = Prt
445.50 = 3300 x r x 3
r = 0.05
Therefore, b = 0.05 for the second row.
For the third row, we have P = 3300, t = 7, and I = 1039.50. We can plug in these values and solve for r:
I = Prt
1039.50 = 3300 x r x 7
r = 0.045
Therefore, c = 7 for the third row.
For the fourth row, we have P = 3300, t = c, and I = 1188.00. We can plug in these values and solve for c:
I = Prt
1188.00 = 3300 x 0.045 x c
c = 8
Therefore, c = 8 for the fourth row.
Thus, we have a = 148.50, b = 0.05, and c = 8 to complete the table.
Learn more about the Interest visit:
https://brainly.com/question/7639734
#SPJ2
Savannah can run 1/2 mile in 300 seconds. What is
Savannah's unit rate?
10 mile per minute
2 1/2 mile per minutes
2/5 mile per minutes
1/10 mile per minute
The required unit rate of the Savannah run is given as 1/10 mile per minute. Option D is correct.
What is the unit rate?A unit rate is a rate in which the second term is 1. In other words, a unit rate is a rate that compares two quantities, with the second quantity being expressed as 1. Unit rates are often used to express a rate per unit of measurements, such as price per item, speed per hour, or cost per pound.
here,
As given in the question Savannah can run 1/2 mile in 300 seconds to evaluate the unit rate we must convert the time given second in minutes by dividing it by 60,
300 seconds = 300/60 = 5 minutes
Now,
Unit rate = 1/2 mile: 5 minutes
Unite rate = 1/10 mile per minute
Thus, the required unit rate of the Savannah run is given as 1/10 mile per minute. Option D is correct.
Learn more about unit rates here:
https://brainly.com/question/20920959
#SPJ6
Matilda earns 48$ in 4 hours, How many hours does it take her to earn 288$?
Answer:
24
Step-by-step explanation:
If Matilda earns $48 in 4 hours, then she must earn 48/4 (12) dollars per hour. We know she earns $12 per hour, and that she made $288, so we divide the total amount earned (288) by her hourly wage ($12) to find she worked 288/12 or 24 hours.
Matilda will earn $288 in 24 hours.
What are word problems?A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
Given is that Matilda earns $48 in 4 hours.
Let us assume that it will take her {x} hours to earn $288.
Then, we can write -
there is earning of $48 in 4 hours.
so, there will be earning of $1 ins (4/48) or (1/12) hours.
hence, she will earn $288 in (1/12 x 288) or 24 hours.
Therefore, Matilda will earn $288 in 24 hours.
To solve more questions on equation modelling, visit the link below -
brainly.com/question/29299318
#SPJ2
An account earns simple interest.
$2000 at 3.5% for 4 years
a. Find the interest earned.
b. Find the balance of the account.
With given simple interest, the interest earned is $280 and the balance of the account after 4 years is $2280.
What is simple interest?
Simple interest is a way of calculating interest on a loan or investment that just considers the initial principle amount. Simply said, simple interest is a fixed percentage of the principle amount that is added to the initial amount over time.
I = P * r * t is the formula for simple interest.
Now,
a. The interest earned can be found using the formula:
I = P * r * t
Where I is the interest earned, P is the principal amount, r is the interest rate per year as a decimal, and t is the time in years.
In this case, P = $2000, r = 0.035, and t = 4.
I = 2000 * 0.035 * 4 = $280
Therefore, the interest earned on the sum is $280.
b. The balance of the account after 4 years can be found by adding the interest earned to the principal:
Balance = Principal + Interest
Balance = $2000 + $280 = $2280
Therefore, the balance of the account after 4 years is $2280.
To know more about simple interest visit the link
brainly.com/question/25845758
#SPJ9
Probability and Statistics - Colored Points Six points are drawn from uniform distribution U10,1]. The first three points are marked green and the next three are marked red on the real line. What is the probability that all adjacent points differ in color? Pick one of the choices 1/20 1/10 1/6 1/5 Clear selection Probability and Statistics - Dice Consider an unbiased six-faced dice with integers 1 through 6 marked on the faces. Assume the dice is thrown repeatedly, until the sum of the numbers cast till that point is a multiple of 6. What is the expected number of throws? Pick one of the choices 03 4.5 Clear selection
The probability that all adjacent points differ in colour is \(\frac{1}{5}\).
What is probability ?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
Have given ,
We have first three colour Green that is g1 , g2 and g3
And We have next three colour red that is r1 , r2 and r3
The probability that all adjacent points differ in colour = 3! * \(^{4}C_{3}\) 3! / 6!
=> \(\frac{ 3! * 4! *3!}{6!}\)
=> \(\frac{1}{5}\)
The probability that all adjacent points differ in colour is \(\frac{1}{5}\).
To learn more about probability visit : brainly.com/question/30034780
#SPJ4
Let f(x)=-2x-1 and g(x)=x^2-1
A bottling company marks a 0 for every bottle that comes out correct and a 1 for every defective bottle. Estimate the probability that the next bottle is defective
Answer:
See Explanation
Step-by-step explanation:
Given
\(0 \to\) Correct
\(1 \to\) Defective
Required
The probability that the next is defective
The question is incomplete because the list of bottles that came out is not given.
However, the formula to use is:
\(Pr = Num ber\ o f\ d e f e c t i v e \div T o t a l\ b o t t l e s\)
Take for instance, the following outcomes:
\(0\ 1\ 0\ 0\ 0\ 1\ 0\ 0\ 1\ 1\ 0\ 0\ 0\ 1\)
We have:
\(Total = 14\)
\(D e f e ctive = 9\) --- i.e. the number of 0's
So, the probability is:
\(Pr = 9 \div 14\)
\(Pr = 0.643\)
Answer:
1/20
Step-by-step explanation:
000000000000100000
It is asking the probability of a defective bottle
there is one defective bottle out of 20
Aidan has $2,600 currently saved for a speed boat. If he saves $205 per month and his account earns a 1.7% interest rate, how many years will it take before he can buy the $29,000 boat? Enter your answer to two decimal places.
7.95
6.89
9.70
6.69
It will take Aidan approximately 9.70 years to save enough to buy the $29,000 speed boat.
To calculate the time it will take for Aidan to save enough for the speed boat, we can use the formula for compound interest. The formula is given by:
\(Future Value = Present Value * (1 + interest rate)^{(number of periods)}\)
In this case, Aidan currently has $2,600 saved, and he saves an additional $205 per month. The future value (FV) is $29,000, and the interest rate (r) is 1.7% per year. We need to find the number of periods (t) in years. Rearranging the formula, we get:
t = log(FV / PV) / log(1 + r)
Plugging in the values, we have:
t = log((29000 - 2600) / 205) / log(1 + 0.017)
≈ 9.70 years
Therefore, it will take Aidan approximately 9.70 years to save enough to buy the $29,000 speed boat.
Learn more about interest rate visit:
brainly.com/question/29294869
#SPJ11
Write the function in standard form.
Y=-4(x+2)(x+3)
Answer:
Below
Step-by-step explanation:
To write this function in the standard form simplify it.
● -4(x+2)(x+3)
● -4 (x^2+3x+2x+6)
●-4(x^2+5x+6)
●-4x^2-20x-24
Answer:
y = -4(x+2.5)²+1
Step-by-step explanation:
Standard form is given by f(x) = a(x-h)²+k, where (h,k) is the vertex. We are already given a = -4, and if we graph the equation given, we can see that the vertex is (-2.5, 1). So, we can set up the equation y = -4(x+2.5)²+1.
Your Assignment
Answer the questions to describe the transformations of figure ABCD.
1. Is A'B'C'D' a translation, rotation, or reflection of ABCD? Explain how you can tell.
Write your answer in the space below.
2. Is A"B"C"D" a translation, rotation, or reflection of A'B'C'D'? Explain.
Write your answer in the space below.
3. Suppose the measure of ∠B is 89°. Which other angles must measure 89°? How do you know?
Write your answer in the space below.
4. What is the perimeter of A"B"C"D"? Explain how you found the perimeter.
Answer:
i don't have the answer but i can add the chart for thos who can answer the question
Step-by-step explanation:
Answer:
1. Reflection
2. rotation and reflection
3. b', b''
4. 26.3
Step-by-step explanation:
1. It is like looking in a mirror. Its is being reflected across the y axis
2. It is rotated 90 degrees to the right. Then reflected over the x axis.
3. they are the same
4. It is the same as A" B" C" D" so the lengths are the same and you just add them.
Step-by-step explanation:
A diver is 25 feet below sea level. After he swims up 15 feet toward the surface, what is his elevation?
Answer:
-10.
Step-by-step explanation:
-25+15=-10.
How far apart are the foci of an ellipse with a major axis of 32ft and minor axis of 14ft ?
The foci are placed 4 feet apart from the ellipse's center. Then the distance between the foci of the ellipse will be separated by 8 feet.
What is an ellipse?Ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called foci adds up to a constant. It is taken from the cone by cutting it at an angle.
A major axis of 32 ft and a minor axis of 14 ft.
The major axis 2a of the ellipse will be
2a = 10 feet
a = 5 feet
The minor axis 2b of the ellipse will be
2b = 14
b = 7 feet
We must utilize the following connection to get the foci's coordinate:
b² = a² - c²
3² = 5² - c²
c² = 25 - 9
c² = 16
c = ± 4
As a result, the foci are placed 4 feet apart from the ellipse's center. As a result, the foci are separated by 4 + 4 = 8 feet.
More about the ellipse link is given below.
https://brainly.com/question/19507943
#SPJ1
Somebody help me with this
Answer:
D s>350000
Step-by-step explanation:
The difference in base salary is 7,000 (45,000-38,000). To earn an additional 7,000, sales must be at least 350,000.
350000 x.02 (2% commission) is 7,000