Answers
Answer:B
Step-by-step explanation
Related Questions
Aloma, a university graduate who started a successful business, wants to start an endowment in her name that will provide scholarships to ChE students. She wants the scholarship to provide $13,000 per year and expects the first one to be awarded on the day she fulfills the endowment obligation. If Aloma plans to donate $240,000, what rate of return must the university realize in order to award the annual scholarship forever?
The rate of return that the university must realize in order to award the annual scholarship forever is _____%.
Answers
Answer:
5.73%
Step-by-step explanation:
Calculation for the rate of return that the university must realize
Using this formula
Rate of return = Initial payment/(Plan to donate- Initial payment)
Let plug in the formula
Rate of return=$13,000/($240,000-$13,000)
Rate of return=$13,000/$227,000
Rate of return=0.0573*100
Rate of return =5.73%
Therefore The rate of return that the university must realize in order to award the annual scholarship forever is 5.73 %.
6x-4=3x+4 i need help doing this
the answer would be,,..................... .................................... I have no clue AT ALL¶§§
Answers
Answer:
x = 8/3
Step-by-step explanation:
6x-4=3x+4
Subtract 3x from each side
6x-3x-4=3x-3x+4
3x-4 =4
Add 4 to each side
3x-4+4 = 4+4
3x =8
Divide each side by 3
3x/3 = 8/3
x = 8/3
Answer:
hi
Step-by-step explanation:
exact form: 8/3
decimal form:
2.6 repeating sign over six
mixed number form: 2 2/3
Which ordered pairs make the inequality true?
x+3y<9
Select each correct answer.
(5,1)
(1,3)
(−2,3)
(−1,4)
Answers
Answer:
The ordered pairs (-2,3) and (5,1) make the inequality true.
Step-by-step explanation:
The mean mark of a group of 10 boys is 58. If the mean of 7 of them is 61, what is the mean of the remaining 3 boys
Answers
Answer:
The mean of the remaining 3 boys is 51.
Step-by-step explanation:
The mean mark of the entire group ([tex]p_{10}[/tex]), dimensionless, is:
[tex]p_{10} = \frac{1}{10}\cdot \Sigma_{i = 1}^{10} x_{i}[/tex] (Eq. 1)
([tex]p_{10} = 58[/tex])
[tex]\frac{1}{10}\cdot \Sigma_{i=1}^{10} x_{i} = 58[/tex] (Eq. 1b)
Where [tex]x_{i}[/tex] is the mark of the i-th boy, dimensionless.
In addition, we know the following mean marks from statement:
[tex]p_{7} = \frac{1}{7} \cdot \Sigma_{i = 1}^{7} x_{i}[/tex] (Eq. 2)
([tex]p_{7} = 61[/tex])
[tex]\frac{1}{7}\cdot \Sigma_{i=1}^{7} x_{i} = 61[/tex] (Eq. 2b)
[tex]p_{3} = \frac{1}{3}\cdot \Sigma_{i=8}^{10}x_{i}[/tex] (Eq. 3)
Where:
[tex]p_{7}[/tex] - Mean mark of the first 7 boys, dimensionless.
[tex]p_{3}[/tex] - Mean mark of the remaining 3 boys, dimensionless.
By applying sum properties in (Eq. 1b) and using (Eq. 2b) and (Eq. 3), we obtain the mean of the remaining 3 boys:
[tex]\frac{1}{10}\cdot [\Sigma_{i = 1}^{7}x_{i}+\Sigma_{i=8}^{10}x_{i}] = 58[/tex]
[tex]\frac{1}{10}\cdot [7\cdot (61)+3\cdot p_{3}] = 58[/tex]
[tex]7\cdot (61) + 3\cdot p_{3} = 580[/tex]
[tex]3\cdot p_{3} = 153[/tex]
[tex]p_{3} = \frac{153}{3}[/tex]
[tex]p_{3} = 51[/tex]
The mean of the remaining 3 boys is 51.
The sum of four consecutive integers is 2486. Find the biggest of these four consecutive integers.
Answers
Answer:
623
Step-by-step explanation:
2486/4 is the middle number = 621.5
Four numbers so the nearest whole numbers are the middle two
620, 621, 622, 623
=623
Can somebody help me with this pleaseee I need help
Answers
Answer:
3.225
Step-by-step explanation:
15%= 15/100
therefore 15% tip of 21.50
15/100×21.50 = 3.225
.The annual yield per orange tree is fairly constant at 270 pounds per tree when the number of trees per acre is 30 or fewer. For each additional tree over 30, the annual yield per tree for all trees on the acre decreases by 3 pounds due to overcrowding. Find the number of orange trees per acre, x, that maximizes the total yield for an acre, T, in pounds. What is the total maximum yield in pounds of oranges
Answers
Answer:
The answer is below
Step-by-step explanation:
Let the yield per hectare be Y and the number of orange trees per acre, x. For fewer than or 30 trees there is a yield of 270 pounds per tree, therefore:
Y(x) = 270 for x ≤ 30
If it is more than 30 trees the yield decreases by 3 pounds, hence:
Y(x) = 270 - 3(x - 30) = 360 - 3x for x > 30
The total yield T is given as T(x) = x × Y
T(x) = x × 270 = 270x for x ≤ 30
T(x) = x(360 - 3x) = 360x - 3x² for x > 30
The maximum yield is at T'(x) = 0
T'(x) = 360 - 6x
360 - 6x = 0
6x = 360
x = 360/6
x = 60
T(6) = 360(60) - 3(60²) = 10800 pounds
Personal Finance: Cost of a Car The suggested list price of a new car is $24,000. The dealer’s cost is 85% of list. How much will you pay if the dealer is willing to accept $300 over cost for the car?
Answers
Answer: $20,700
Step-by-step explanation:
Given that :
List price of car = $24,000
Dealer's cost = 85% of the list price of the car
Dealer acceptance cost = $300 over the cost
Hence, total amount to be paid :
Dealer's cost + dealer's acceptance cost
Dealer's cost = (0.85 * $24,000) = $21,400
Hence, Total cost :
$20,400 + $300 = $20,700
The lions and the tigers played a football game the lions scored three more than three times the number of points the tigers scored
Answers
This question is incomplete
Complete Question
The lions and the tigers played a football game. The Lions scored three more than three times the number of points the Tigers scored. The total number of points scored by both teams is 31. How many points were scored by each team?
Answer:
The number of points scored by the Lions = 24
The number of points scored by the Tigers = 7
Step-by-step explanation:
Let the number of points scored by the lion = l
The number of points scored by the tiger = t
The Lions scored three more than three times the number of points the Tigers scored.
l = 3 + 3(t)
The total number of points scored by both teams is 31.
= l + t = 31
3 + 3t + t = 31
4t = 31 - 3
4t = 28
t = 28/4
t = 7 points
Note:
l + t = 31
I = 31 - t
l = 31 - 7
l = 24 points
The number of points scored by the Lions = 24
The number of points scored by the Tigers = 7
A candy company claims that 20% of the candies in its bags are colored green. Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies. If there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct. What is the probability of Steve agreeing with the company’s claim? Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.
Answers
Answer:
The probability of Steve agreeing with the company’s claim is 0.50502.
Step-by-step explanation:
Let X denote the number of green candies.
The probability of green candies is, p = 0.20.
Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.
So, n = 30 candies are randomly selected.
All the candies are independent of each other.
The random variable X follows a binomial distribution with parameter n = 30 and p = 0.20.
It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.
Compute the probability of 5, 6 and 7 green candies as follows:
[tex]P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328[/tex]
Then the probability of Steve agreeing with the company’s claim is:
P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)
= 0.17228 + 0.17946 + 0.15328
= 0.50502
Thus, the probability of Steve agreeing with the company’s claim is 0.50502.
What is the percent decrease when the balance in a bank account goes from $300 to $60?
The percent decrease is 20%.
The percent decrease is 25%.
The percent decrease is 80%.
The percent decrease is 87%.
Answers
Answer:
according to me I think that the percentage decrease is 80% and this is how I got it I took 60 and subtracted it from 300 to get 240 then I took 240 over 300 * 100% and I got 80%
Step-by-step explanation:
the percent decrease is 87%
PLEASE ANSWER QUICKLY I WILL MARK BARINLIEST AND WILL GIVE
30 POINTS
Answers
Find the slope plus extra pts
Answers
Answer:
The Slope is -4
m = -4
Step-by-step explanation:
Hopefully this Helps! If this wasn't the answer you were looking for please don't hesitate to either comment here or private message me! Have a nice day/night! :))
Is the product of 0.4 * 1.8 greater then or less then 0.4
Answers
Answer:
Greater
Step-by-step explanation:
.4*1.8 is .72
.72 is greater than .4
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Answers
Answer:
24
Step-by-step explanation:
Answer:
R is D
Step-by-step explanation:
Mathematical Expression:
R=D divided by T
For Y=R substitute R with RT:
R=D
Sammy wants to buy a new mattress priced at $419. He enters into an agreement to pay $26 a month for 24 months. How much will the finance charge be for this purchase?
Answers
A family of four bought a vacafion
package for $4,000. If the tax rate
is 10% how much will they payin
faxes?
Answers
Sandra has $32 in her purse. She $15 for a CD.Which expression represents this situation.
32+15
-32+15
-32+(-15)
32+(-15)
Answers
Rewrite 8^-12 isIng a positive exponent
Answers
Answer:
8^12??
Step-by-step explanation:
what is islng
Answer:
1/[tex]8^{12}[/tex]
Step-by-step explanation:
Express with a positive exponent using a [tex]^{-n}[/tex] = 1/[tex]a^{n}[/tex]
1/[tex]8^{12}[/tex]
Solution
1/[tex]8^{12}[/tex]
Alternate form
≈ 1.45519 x [tex]10^{-11}[/tex]
There are 5 stacks of huge waffles that each weigh 45 pounds, and a group of people want to eat all of the stacks of waffles. If a person can eat 2 pounds, how many people are necessary to eat all of the waffles?
Answers
Answer: 112 people.
Step-by-step explanation:
Answer:
You would need 112.5 people to eat all the stacks of pancakes.
Step-by-step explanation:
45 times 5 = 225
and then 225 divided by 2 is 112.5
Hope this helps!
Good question lol
The table shows the makeup of a New Year’s Eve television show. What fraction of the show will be for the audience to speak?
Table:
Introduction: 10%
Skits: 25%
Guests: 45%
Audience: 20%
Answers
Answer:
1/5
Step-by-step explanation:
We need to find the fraction of the show will be for the audience to speak. Here, the part of the audience is 20%.
We know that, percent means we need to divide the value by 100 i.e.
[tex]20\%=\dfrac{20}{100}\\\\=\dfrac{2}{10}\\\\=\dfrac{1}{5}[/tex]
So, the required fraction is 1/5.
Un abuelo quiere repartir una cierta cantidad de manera proporcional entre sus tres nietos de 14, 10 y 6 años de edad ¿A quién le corresponde más? Resuelve el problema apoyándote con los videos previos. Una vez resuelto, planteen el tema a alguien de su familia y juntos comenten cómo utilizan las relaciones proporcionales en sus quehaceres.
Answers
Answer:
El nieto de 14 años de edad recibirá la mayor cantidad.
Step-by-step explanation:
En este problema, debemos tener en mente que la cantidad aportada es directamente proporcional a la edad de quien recibe, esta cantidad es igual al producto de la cantidad total y la razón de la edad de quien recibe y la suma de todas las edades.
Bajo este razonamiento, podemos concluir que el nieto de 14 años de edad recibirá la mayor cantidad.
Samantha has 4 1/2 gallons of lemonade for her daughter’s birthday party. Each gallon of lemonade contains 1.5 grams of fat. How many grams of fat are contained in all the lemonade Samantha has for the party?
Answers
Answer: 6.75
Step-by-step explanation:
1/2 gallons = 0.75 grams
1 gallons = 1.5 grams
2 gallons = 3 grams
4 gallons = 6 grams
6 + 0.75 = 6.75
I hope this helped!
In the diagram below, the radii of the two concentric circles are 3 centimeters and 7 centimeters, respectively.
What is the area of the shaded region?
Answers
Answer:
125.6 cm²
Step-by-step explanation:
Area of the shaded region = area of larger circle - area of the smaller circle
Area of the smaller circle = πr²
π = 3.14, r = 3 cm
Area of smaller circle = 3.14*3² = 3.14*9 = 28.26 cm²
Area of larger circle = πr²
π = 3.14, r = 7
Area of larger circle = 3.14*7² = 3.14*49 = 153.86 cm²
Area of the shaded region = 153.86 - 28.26 = 125.6 cm²
You plan on using cost-based pricing. The cost of your product is $10, and you are planning a 30% mark-up. What should the price of your product be?
Answers
Answer:
Selling price= $13
Step-by-step explanation:
Giving the following information:
The cost of your product is $10, and you are planning a 30% mark-up.
The price of the product is calculated by adding to the manufacturing costs a predetermined percentage.
Selling price= 10*1.3
Selling price= $13
Based on the cost of the product and the mark-up, the price of the product will be $13.
Price of productThis can be fund using the formula:
= Cost of product x ( 1 + markup percentage)
Solving gives:
= 10 x ( 1 + 30%)
= 10 x 1.3
= $13
In conclusion, the product would be $13.
Find out more on cost based pricing at https://brainly.com/question/4144684.
I need help with this question.
Answers
Answer:
Angle RQT and Angle RQO
Step-by-step explanation:
These angles share the common vertex of Q and the common side of RQ
Answer:
The first option.
Step-by-step explanation:
The way I always remember adjacent angles is they are kinda beside each other.
Hey guys I need help. Care to be kind? :(
Answers
9514 1404 393
Answer:
$77.94
Step-by-step explanation:
The (signed) sum of charges and credits results in the total due:
$82.04 -4.10 = $77.94 . . . amount due
Help guys, please I needed this answer PLEASE!!!
Answers
: The average student college loan rate is 4%. You borrowed $18,000 per year for 4 years for tuition, room, & board. If the interest is computed as simple interest, annually, how much interest will you owe when you graduate. Assume 4 years interest on the freshman year loan, 3 years on the sophomore loan, 2 years on the junior loan, and 1 year on the senior loan.
Answers
Answer: A) 7,200
Step-by-step explanation:
Answer:7200
Step-by-step explanation:
2+2=7200
Two student clubs plan to share a bus on a trip to the capital.Transportation and lunch for one day is 12 bucks per student.One club has 25 members and the other club has 18 members.What is the total cost of the trip
Answers
Answer:
516
Step-by-step explanation:
add 25 and 18 and you get 43 students if you have to pay 12 for every student you'd have to multiply 43 × 12 = 516 so the trip would be 516 in total