the original quantity is 10 and the new quantity is 14, what is the percent increase?
The percent increase
Answers
The original amount is 10 and the new quantity is 14 percent increase is 40%
What exactly is a percentage?An quantity or part that is contained in each hundred is known as a percentage. The symbol "%" signifies that it is a fraction with 100 as the denominator.
Here,
The increase in percentage is equal to (New quantity - Original quantity)/Original quantity 100
(14-10)/10* 100.
4/10 × 100
40%
A 40% increase from the original amount to the new quantity may be calculated as a result.
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Related Questions
A Diginacci sequence is created as follows.
• The first two terms are any positive whole numbers.
• Each of the remaining terms is the sum of the digits of the previous
two terms.
For example, starting with 5 and 8 the Diginacci sequence is
5, 8, 13, 12, 7, 10,...
The calculations for this example are
5+ 8 = 13, 8 + 1 + 3 = 12, 1+ 3 +1+ 2 = 7,1 + 2 + 7 = 10.
a) List the first 26 terms of the Diginacci sequence above.
b) Find, with explanation, two starting terms for a Diginacci sequence
so that its 2021st term is 11.
C) Find, with explanation, a Diginacci sequence that has no term equal
to 11
d) Find, with explanation, a sequence with two different starting terms
which contains five consecutive terms that are even and not all identical
Answers
a)
Answer:
5, 8, 13, 12, 7, 10, 8, 9, 17, 17, 16, 15, 13, 10, 5, 6, 11, 8, 10, 9, 10, 10, 2, 3, 5, 8
Explanation:
Diginacci Sequence
5+8=13, 8+1=9, 1+3+1+2=7, 1+2+7=10, 7+1+0=8, 1+0+8=9, 8+9=17, 9+1+7=17
A lot runs between two parallel streets. The length of the lot on one of the streets is 160-ft. The length of the lot on the other street is 100-ft. The area of the lot is 14,170 square feet. How far apart are the two streets?
Answers
Answer:
Step-by-step explanation:Area = 1/2(b1 + b2)x h
Area = 18,000 ft^2
b1 = 80 ft
b2 = 100 ft
18,000 = 1/2(80 + 100) x h
36,000 = (180)h
h = 36,000/180
h = 200ft.
This is the distance between streets.
Hope this helps :-)Area = 1/2(b1 + b2)x h
Area = 18,000 ft^2
b1 = 80 ft
b2 = 100 ft
18,000 = 1/2(80 + 100) x h
36,000 = (180)h
h = 36,000/180
h = 200ft.
This is the distance between streets.
Hope this helps :-)
Question
The population of a certain bacteria can be modeled by the function P(t) = 2,000(1.034), where t
represents the number of hours after an experiment has started. What does 2,000 represent in the
function?
Answers
The number 2,000 represent the number of bacteria at t = 0 in the function.
What is an exponent?Consider the function:
y = a (1 ± r) ˣ
Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is a plus sign, then there is exponential growth happening by r fraction or 100r %
If there is a minus sign, then there is exponential decay happening by r fraction or 100r %
The population of a certain bacteria can be modeled by the function
\(\rm P(t) = 2,000\times (1.034) ^t\)
Where t represents the number of hours after an experiment has started.
The number 2,000 represent the number of bacteria at t = 0 in the function.
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The number of people who live in a unit of area is called the population density of the area. It usually given as people "per square mile" or "per square kilometer".
A map of the Orchard Hill Neighborhood is shown. The population of the Orchard Hill Neighborhood is 360 people. The lenght of each block is the same and the lenght of 20 blocks is 1 mile.
What is the area in square miles of Orchard Hill?
A. 0.35 square mile
B. 0.03 square mile
C. 0.15 square mile
D. 0.60 square mile
Answers
Answer: 0.03
Step-by-step explanation:
1 block = 1/20 mile = 0.05 miles
4(0.05) = 0.20
3(0.05) = 0.15
A=l•w=0.20(0.15)=0.03
The area of the Orchard Hill is 0.03 square miles if the length of each block is the same and the length of 20 blocks is 1 mile, option (A) is correct.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We have:
20 blocks = 1 mile
1 block = 1/20 miles = 0.05 miles
Length of 3 blocks = 3×0.05 = 0.15 miles
Length of 4 blocks = 4×0.05 = 0.20 miles
Area of the Orchard Hill = 0.15×0.20 = 0.03 square miles
Thus, the area of the Orchard Hill is 0.03 square miles if the length of each block is the same and the length of 20 blocks is 1 mile, option (A) is correct.
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Rocky Mountain Tire Center sells 7,000 go-cart tires per year. The ordering cost for each order is $40, and the holding cost is 40% of the purchase price of the tires per year. The purchase price is $23 per tire if fewer than 200 tires are ordered, $18 per tire if 200 or more, but fewer than 5,000 , tires are ordered, and $15 per tire if 5,000 or more tires are ordered. a) How many tires should Rocky Mountain order each time it places an order?
Answers
To determine the optimal order quantity for Rocky Mountain Tire Center, you must consider ordering costs, storage costs, and the purchase price of the tires. The order quantity should minimize the total cost including both ordering cost and storage cost.
The EOQ formula is given by: EOQ = √((2DS) / H)
Where: D = Annual demand (7,000 go-cart tires)
S = Ordering cost per order ($40) H = Holding cost - percentage of the purchase price (40% of the purchase price)
we need to determine the purchase price per tire based on the quantity ordered.
EOQ = √((2 * 7,000 * 40) / (0.4 * 15))
=118 tires
they should order approximately 118 tires.
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Angle A and angle B are complementary angles. If the
measure of angle A is 42°, find the measure of angle B.
Answers
Answer:
B = 48
Step-by-step explanation:
Complementary angles add to 90
A+B = 90
42+B = 90
Subtract 42 from each side
B = 90-42
B = 48
Answer:
\(\Huge \boxed{\angle B = 48 \° }\)
\(\rule[225]{225}{2}\)
Step-by-step explanation:
Two angles are complementary when they add up to 90 degrees.
\(\angle A + \angle B = 90\)
\(\angle B = 90 - \angle A\)
\(\angle B = 90 - 42\)
Subtracting the values,
\(\angle B = 48\)
\(\rule[225]{225}{2}\)
Please help me with this Geometry Question
Answers
The value of x from the given figure is 12 units.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
From the given figure,
Consider ΔADC and ΔABC,
∠C=∠C (Reflex property)
AC=AC (Reflex property)
∠BAC=∠CDA=90°
By AA similarity, ΔADC ~ ΔABC
So, AC/BC = DC/AC
x/36 = 4/x
x²=36×4
x²=144
x=12 units
Therefore, the value of x from the given figure is 12 units.
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Need help Need help please please please please
Answers
Answer:
2 and -2
Step-by-step explanation:
because its absolute value which means the distance away from 0 so 2 and -2 are both 2 away from 0
Which of the following is a common criticism of the Dodd-Frank Act? Check all that apply. The burdensome and expensive certification documentation The threat of government overreach Lack of real legal ability to influence financial markets Continuing presence of redlining in urban and minority areas
Answers
The Dodd-Frank Act has been criticized for a variety of reasons, and the most common ones are as follows
The Dodd-Frank Act was signed into law in 2010 by President Barack Obama. It was implemented as a reaction to the financial meltdown of 2008-2009. It consists of 2,300 pages of rules and regulations aimed at regulating and restricting the activities of financial organizations. The Dodd-Frank Act has been criticized for a variety of reasons, and the most common ones are as follows:
1.The burdensome and expensive certification documentationThe Dodd-Frank Act has created extensive certification procedures and requirements that must be met by banking and financial firms. This adds a significant financial burden to these organizations, and it's claimed that this cost is passed on to the customers, ultimately affecting their welfare.
2. The threat of government overreachThe Dodd-Frank Act empowered the government with extensive regulatory and enforcement authority over the financial sector. This is seen as a threat by many, as it can result in the government exerting undue influence over financial firms, ultimately leading to a less efficient and less competitive market.
3. Lack of real legal ability to influence financial marketsCritics of the Dodd-Frank Act claim that it has not had a real impact on the financial market. They claim that the rules and regulations are either ignored by financial firms or not enforced by regulators, ultimately rendering the Dodd-Frank Act ineffective.
4. Continuing presence of redlining in urban and minority areasThe Dodd-Frank Act was enacted to prevent the occurrence of financial discrimination, particularly in urban and minority areas. Critics of the Act claim that it has not been successful in eradicating this issue, and redlining continues to persist.
Therefore, the correct options that answer the question are: 1, 2, 3, and 4. It is important to note that while the Dodd-Frank Act has been subject to criticism, it is still considered a landmark piece of legislation that has improved the safety and stability of the financial sector.
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Select the correct number from each drop-down menu to complete the equation. 7 8 − ( − 2 + 3 4 ) = 8 7 −( − 2+ 4 3 )= ( + ) + 7 8 + 8 7
Answers
The value of the expression is 17/8.
Given is an expression, 7/8 - (-2+3/4) = ( ____+____) + 7/8, we need to solve it,
7/8-(-2+3/4)
= 7/8-(-8+3)/4
= 7/8 + 5/4
= 7+10 /8
= 17/8
Hence, the value of the expression is 17/8.
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If lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when lisa maximizes her utility she will buy?
Answers
If Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.
What is marginal utility?In economics, utility is defined as the satisfaction or benefit gained from using a product. The marginal utility of a good or service describes how much pleasure or satisfaction consumers gain as a result of a one-unit increase or decrease in consumption. There are three different kinds of marginal utility. They have a marginal utility of either positive, negative, or zero. For example, if Lisa spends her money on veggie burgers and pints of soy milk, and the price of the veggie burgers is three times the price of the soy milk, Lisa will maximize her utility by purchasing both goods until the marginal utility of the veggie burgers is three times the marginal utility of the soy milk.Therefore, if Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.
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Lee wants to fence off a rectangular area that is 36 feet squared in size for a vegetable garden. He is considering three garden lengths of 6 ft, 9 ft, and 12 ft. He wants to determine which garden would require the least amount of fencing.
Determine the dimensions of the garden that would require the least amount of fencing.
Answers
tried my best to show the steps!! all i did was isolate to find the missing widths attached to the respective lengths (divided surface area by width) and then multiply both sides by two and add them together to find the perimeter.
The dimensions of the garden that would require the least amount of fencing are 6 ft in length and 6 ft in width.
The dimensions are the sides of a geometric shape.
The lengths of the three gardens are given as 6 ft, 9 ft, and 12 ft respectively.
If the area of the garden is 36 feet squared, then the widths for the three lengths will be as follows:
The width of the garden with a length of 6 ft \(= \dfrac{36}{6} = 6\ ft\)
The width of the garden with a length of 9 ft \(= \dfrac{36}{9} = 4\ ft\)
The width of the garden with a length of 6 ft \(= \dfrac{36}{12} = 3\ ft\)
The parameters are calculated as:
The parameter of the garden with dimensions (6 ft, 6 ft) = 2(6 + 6) = 24 ft
The parameter of the garden with dimensions (9 ft, 4 ft) = 2(9 + 4) = 26 ft
The parameter of the garden with dimensions (12 ft, 3 ft) = 2(12 + 3) = 30 ft
The least of the parameter is of the garden with dimensions (6 ft, 6 ft).
Thus, the garden with dimensions (6 ft, 6 ft) would require the least amount of fencing.
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Can Sombody please help real fast?
Answers
Answer:
look at the picture I sent
PLEASE help me identify what type of quadrilateral this is please help ASAP
I would really appreciate it
Answers
Answer:
its c)
Step-by-step explanation:
just looked it up
If (x) = 3x - 1 and g(x) = x + 2, find (f - g)(x).
Answers
Answer:
2x-3
Step-by-step explanation:
f (x) = 3x - 1
g(x) = x + 2
(f - g)(x) = 3x-1 - ( x+2)
Distribute the minus sign
= 3x-1 -x-2
Combine like terms
= 3x-x-1-2
= 2x-3
(f - g )( x ) = 2 x - 3
step-by-step explanation:f ( x ) = 3x - 1
g ( x ) = x + 2
(f - g )(x ) = ( 3x - 1 ) - ( x + 2. )remove unnecessary parantheses
3 x - 1 - x - 2collect like terms
3x - x - 1 -22 x -3Use differentiation and/or integration to express the following function as a power series (centered at ).
f(x)=1/((6+x)^2)
[infinity]
f(x)=∑ _________
n=0
Answers
We start by using the quotient rule to find the first derivative of f(x):
f'(x) = -(2(6+x))/((6+x)^2)^2 = -2/(6+x)^3
Next, we can use the formula for the geometric series with ratio r = -(x-(-6))/(-6) = (x+6)/6:
1/(6+x)^3 = (-1/6)(x+6)(-1/6)^n = (-1/6) * [(x+6)/6]^n
Therefore, we have:
f(x) = (-1/6) * [(x+6)/6]^n
Substituting in the value of n, we get the power series representation of f(x):
f(x) = (-1/6) * [(x+6)/6]^n = (-1/6) * [(x+6)/6]^0 + (-1/6) * [(x+6)/6]^1 + (-1/6) * [(x+6)/6]^2 + ...
Simplifying, we get:
f(x) = 1/36 - (x+6)/216 + (x+6)^2/1296 - (x+6)^3/7776 + ...
Therefore, the power series representation of f(x) centered at is:
f(x) = ∑ (-1/6) * [(x+6)/6]^n, n = 0 to infinity
f(x) = 1/36 - (x+6)/216 + (x+6)^2/1296 - (x+6)^3/7776 + ...
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Harry is organizing a picnic. he can spend at most $24.00 on beverages. iced tea costs $2.00 per gallon and lemonade costs $2.50 per gallon. if x represents the number of gallons of iced tea and y represents the number of gallons of lemonade, which inequality shows the number of gallons of each drink that he can buy? identify the number of gallons of iced tea that harry can buy if he buys 5 gallons of lemonade.
Answers
The inequality that shows the number of gallons of each drink that Harry can buy is 2x + 2.5y ≤ 24.
The number of gallons of iced tea that Harry can buy if he buys 5 gallons of lemonade is 5 gallons of iced tea
Which inequality represents Harry's purchase?The number of gallons of iced tea that can be bought is x so the total price would be:
= 2x
Number of gallons of lemonade is:
= 2.5y
Harry can spend not more than $24.00 which means the total should either be $24 or less:
2x + 2.5y ≤ 24
If Harry buys 5 gallons of lemonade, he would spend:
= 5 x 2.50
= $12.50
The number of gallons of iced tea he can buy is:
= (24 - 12.50) / 2.00
= 5 gallons of iced tea
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Draw a triangle with vertices (2, 1), (4, 2), and (2, 4). Then perform the following transformation: a 180° rotation about the origin.
Answers
Answer:
To perform a 180° rotation about the origin, we simply switch the signs of the coordinates and flip them across the x-axis. So, the new coordinates of the vertices will be:
(2, 1) -> (-2, -1)
(4, 2) -> (-4, -2)
(2, 4) -> (-2, -4)
Plotting these points and connecting them, we get the triangle:
(2, 4)
*
/ \
/ \
(-2, -4)---(-4, -2)
(2, 1)
After the 180° rotation, the triangle is flipped upside down and its position is mirrored across the origin.
Step-by-step explanation:
In which number is the digit 6 one hundred times larger than it is in the number 647?
A. 5,638
B. 6,523,532
D. 38,641
C. 65,398
Answers
Answer:
65,398
Step-by-step explanation:
In the numbers 5,638 and 38,641, the digit 6 is the SAME value as in 647. In the number 6,523,532, the digit 6 is 10,000 times larger than in 647. In the number 65,398 the digit 6 is 100 times larger than in 647.
Sammie is driving to her cottage with her family. The drive 675 miles in 9 hours. What is the unit rate in miles divided by hour
Answers
Answer:
75
Step-by-step explanation:
miles driven/hours= answer
Answer:
75 miles per hour
Step-by-step explanation:
miles/hours
675/9
75/1 or 75 miles / hour
a) what is the value of the 8 in the number 24.387?
Gve your answer as a fraction. ???
Answers
Answer:8/100
Step-by-step explanation: you would count the placement value of the numbers after the decimal point
∠VTW≅∠UTW and ∠U≅∠V. Complete the proof that
VW
≅
UW
.
T
U
V
W
Answers
Answer: did you make that up ??
Step-by-step explanation:
Answer:
A. Alternate interior
B. Transitive property
C. Converse alternate interior angles theorem.
a fruit basket contains 5 apples, 6 oranges, and 3 peaches. if 3 fruit are selected and consumed, then compute the chance that all 3 fruits are not apples. write the answer as a decimal number rounded to third place value. group of answer choices
Answers
All three fruits are not apples is 0.027
Probability sampling is the process of selecting a sample from a population when the selection is based on the randomization principle, often known as chance or random selection.
P (X) = n/N
Given :
A fruit basket contains 5 apples
oranges=6
peaches=3
To find :
compute the chance that all 3 fruits are not apples ?
Solution :
P(all 3 are apples) =(5x4x3)/(14x13x12)
⇒ 60/ 2184
⇒ 0.027
the chance that all 3 fruits are not apples is 0.027
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The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 65,000 miles and a standard deviation of 1500 miles. What warranty should the company use if they want 95% of the tires to outlast the warranty?
Answers
The company should use a warranty period that is equal to 67,467.5 miles.
To determine the warranty period, we need to find the value of the tire life that corresponds to 95% of the tires. We can use the standard normal distribution table to find the value of the z-score that corresponds to the 95th percentile. This value is approximately 1.645.
Now, we can use the formula for the normal distribution to find the tire life value that corresponds to the z-score of 1.645. This formula is:
X = μ + zσ
Where X is the tire life value, μ is the mean of the distribution (65,000 miles), z is the z-score (1.645), and σ is the standard deviation of the distribution (1500 miles).
Plugging in the values, we get:
X = 65,000 + 1.645(1500)
X = 67,467.5
This means that 95% of the tires will have a life of at least 67,467.5 miles.
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2. A university physics class has 16 more freshmen than sophomores. If the class has 42 students, find the
number of freshmen in the class..
Answers
Answer: There are 29 freshman in the class
Step-by-step explanation:
Sophmore = x
Freshman = x+16
x + (x + 16) = 42
x + x + 16 = 42
2x + 16 = 42
2x = 26
x = 13
Sophmore = x = 13
Freshman = x + 16 = 29
Answer:
29 freshmen
Step-by-step explanation:
Freshmen = 16 + x
Sophomores = x
Equate the number of freshmen(16 + x ) and the number of sophomores( x ) to 42( the total number of students in the class)
(16 + x ) + x = 42
16 + 2x = 42
2x = 42 - 16
2x / 2 = 26/2
x = 13
Therefore, the number of freshmen
= 16 + x
= 16 + 13
= 29
4. Answer each question. Show your reasoning
a. 20% of a is 11. What is o?
b. 75% of bis 12 What is b?
c. 80% of c is 20 What is e?
d. 200% of dis 18. What is ?
Answers
D has a number of 9. However, the symbol "?" in the question denotes an unknown number that must be entered. As a result, we are unable to respond.
What is the reasoning?a. Let x be the value of a. Then, we can write the equation: \(0.2x = 11\) . Solving for x, we get:
\(x = 11 / 0.2 = 55\)
Therefore, the value of a is 55. However, the question asks for the value of o, which is not given. Therefore, we cannot provide an answer.
b. Let x be the value of b. Then, we can write the equation: \(0.75x = 12.\) Solving for x, we get:
\(x = 12 / 0.75 = 16\)
Therefore, the value of b is 16.
c. Let x be the value of c. Then, we can write the equation: 0.8x = 20. Solving for x, we get:
\(x = 20 / 0.8 = 25\)
Therefore, the value of c is 25. However, the question asks for the value of e, which is not given. Therefore, we cannot provide an answer.
d. Let x be the value of d. Then, we can write the equation: 2x = 18. Solving for x, we get:
\(x = 18 / 2 = 9\)
Therefore, the value of d is 9. However, the question asks for an unknown value, represented by the symbol "?". Therefore, we cannot provide an answer.
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14
1
Alex claims that when is divided by a fraction, the result will be greater than
To convince Alex that this statement is only sometimes true:
4
Part A: Enter one digit into each box to create an expression that is greater than 4
Part B: Enter one digit into each box to create an expression that is not greater than
DRAG & DROP THE ANSWER
1
3
4
2
9
6
5
Part A: Expression greater than
1
++
Part B: Expression not greater than
1
1
4
Answers
The fraction greater than 1/4 is 1/2 and the fraction less than 1/4 is 1/12.
Given that a fraction 1/4 we need to find fractions by which when we divide 1/4 we get fractions greater and less than it,
So,
1/4 ÷ 1/2 = 1/4 × 2
= 2/4 = 1/2
1/2 > 1/4
And,
1/4 ÷ 3/1 = 1/4 × 1/2
= 1/12
1/12 < 1/4
Hence the fraction greater than 1/4 is 1/2 and the fraction less than 1/4 is 1/12.
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A package of 3 pairs of insulated socks cost $20.37. What is the unit price of the pairs of socks?
Answers
Answer:
$6.79
Step-by-step explanation:
20.37 / 3 = 6.79
Answer:
6.79$
Step-by-step explanation:
If you do $20.37 divided by 3. you get the answer $6.79
find the devivative of the function fast f(x) = √(x²+ 13x) by V x3 ) using the denivative.
Answers
The derivative the function f(x) = √(x²+ 13x)/√x³ is given by = (x-1)/(2x²√(x+13)).
We know that the divide rule of derivative of a function with respect to 'x' is given by,
d/dx (u/v) = (v*(du/dx) - u*(dv/dx))/v²
where u and v are the functions of independent variable x.
The given function is,
f(x) = √(x²+ 13x)/√x³
Simplifying the function we get,
f(x) = √((x² + 13x)/x³) = √((x(x + 13)/x³) = √(x+13)/√x² = √(x+13)/x
differentiating the above function with respect to 'x' we get,
f'(x) = (x*(d/dx(√(x+13))) - √(x+13)*(d/dx(x)))/x²
= ((x/(2√(x+13)) - 1/(2√(x+13)))/x²
= (x-1)/(2x²√(x+13))
Hence the derivative is (x-1)/(2x²√(x+13)).
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find the area of the part of the plane with vector equation r(u, v) = 8 v, u − 7v, 4 − 2u v that is given by 0 ≤ u ≤ 1, 0 ≤ v ≤ 1.
Answers
To find the area of the part of the plane defined by the vector equation, we need to calculate the magnitude of the cross product of the partial derivatives of r(u, v) with respect to u and v, and then integrate it over the given range of u and v.
Let's start by finding the partial derivatives of r(u, v) with respect to u and v:
∂r/∂u = <0, 1, -2v>
∂r/∂v = <8, -7, -2u>
Now, calculate the cross product of the partial derivatives:
N = (∂r/∂u) × (∂r/∂v)
= <0, 1, -2v> × <8, -7, -2u>
= <-2v, 16u + 2v, 7u>
Next, we calculate the magnitude of the cross product:
\(|N|= \sqrt{(-2v)^{2} +(16u + 2v) ^{2} + (7u)^{2} } \\ =\sqrt{{4v^{2} + (16u + 2v)^{2} + 49u^{2} }\)
Now, we integrate the magnitude of the cross product over the given range:
Area = ∫∫|N| du dv
\(\int\limits^1_0 \int\limits^1_0 \sqrt{{4v^{2} + (16u + 2v)^{2} + 49u^{2} } } .du.dv\)
Unfortunately, the integral cannot be solved analytically due to its complexity. However, it can be approximated numerically using numerical integration techniques or computational tools.
Alternatively, if you have access to a mathematical software or programming language, you can use numerical methods to calculate the integral and approximate the area.
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