I hope this is the right answer and if it's not then my apologies.
And sorry it took so long.
is this correct or it needs any fixing
In 1895, the first a sporting event was held. The winners prize money was 150. In 2007, the winners check was 1,163,000. (Do not round your intermediate calculations.)
What was the percentage increase per year in the winners check over this period?
If the winners prize increases at the same rate, what will it be in 2040?
The estimated winners' prize in 2040, assuming the same rate of increase per year, is approximately $54,680,580,063,400.
The initial value is $150, and the final value is $1,163,000. The number of years between 1895 and 2007 is 2007 - 1895 = 112 years.
Using the formula for percentage increase:
Percentage Increase = [(Final Value - Initial Value) / Initial Value] * 100
= [(1,163,000 - 150) / 150] * 100
= (1,162,850 / 150) * 100
= 775,233.33%
Therefore, the winners' check increased by approximately 775,233.33% over the period from 1895 to 2007.
To estimate the winners' prize in 2040, we assume the same rate of increase per year. We can use the formula:
Future Value = Initial Value * (1 + Percentage Increase)^Number of Years
Since the initial value is $1,163,000, the percentage increase per year is 775,233.33%, and the number of years is 2040 - 2007 = 33 years, we can calculate the future value:
Calculating this expression:
Future Value = 1,163,000 * (1 + 775,233.33%)^33
Using a calculator or computer software, we can evaluate this expression to find the future value. Here's the result:
Future Value ≈ $1,163,000 * (1 + 77.523333)^33 ≈ $1,163,000 * 47,051,979.42 ≈ $54,680,580,063,400
Therefore, based on the assumed rate of increase per year, the estimated winners' prize in 2040 would be approximately $54,680,580,063,400.
Learn more about Expressions click here :brainly.com/question/24734894
#SPJ11
ab + c = d solve for b
Answer:
\(\boxed{\boxed{b=\frac{d-c}{a}; a\neq 0}}\)
Step-by-step explanation:
\(ab+c=d\\\\ab+c-c=d-c\\\\ab=d-c\\\\\frac{ab=d-c}{a}\\\\ \boxed{b=\frac{d-c}{a}; a\neq 0}\)
help plzzzzzzzzzzzzzz
Answer:
126
Step-by-step explanation:
The area of a kitchen is 182 square feet. this is 20% of the first floor. let f represent the area of the first floor. write an equation to represent the situation
Step-by-step explanation:
f×0.2 = 182 ft²
20% is a factor 0.2, as it is 20 of 100.
The area of the first floor an equation to represent the situation is 182 = F * 20%
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
The given parameters are:
Area of kitchen = 182 square ft.
Area of first floor = 20%
F represent the area of the first floor
So, we have:
Area of kitchen = F * 20%
This gives
182 = F * 20%
Hence, the area of the first floor an equation to represent the situation is 182 = F * 20%
Read more about equations at:
brainly.com/question/2972832
#SPJ5
What is the solution to 40+40-20•0+3+125=
Answer:
188
i think, i'm not that sure what the dot in. "20.0" is. i cant tell if its for mutiplcation or a decimal
The solution to an equation is the result of solving the equation
The solution to 40 + 40 - 20 . 0 + 3 + 125 is 208
The equation is given as:
\(40 + 40 - 20 \cdot 0 + 3 + 125\)
Evaluate the products of 20 and 0
\(40 + 40 - 20 \cdot 0 + 3 + 125 = 40 + 40 -0 + 3 + 125\)
Add the terms of the expression
\(40 + 40 - 20 \cdot 0 + 3 + 125 = 208\)
Hence, the solution to 40 + 40 - 20 . 0 + 3 + 125 is 208
Read more about equations and solutions at:
https://brainly.com/question/13729904
1. Please help me with this problem I will give you the brain thing and extra points
Which equation in standard form has a graph that passes through the point (0, -5) and has a slope of 3/4?
A)3x + 4y = -20
B)3x - 4y = 20
C)4x + 3y = 20
D)4x - 3y = -20
Answer:
B) 3x - 4y = 20
Step-by-step explanation:
We can eliminate C and D since 4(0) + 3(-5) = -15 (not 20) and 4(0) - 3(-5) = 15 (not -20)
Now we will determine the slopes for A and B to see which one is correct:
A) 3x + 4y = -20 -> 4y = -20 - 3x -> y = -5 - 3/4x -> y=-3/4x - 5 (not right)
B) 3x - 4y = 20 -> -4y = 20 - 3x -> y = -5 + 3/4x -> y = 3/4x - 5 (right)
Therefore, B is correct since the slope is 3/4 and passes through (0,-5)
What condition has no solution?
A condition that is impossible to satisfy has no solution.
Mathematics can be a powerful tool for solving many problems, but there are some issues that can't be solved.
In particular, any condition that is impossible to satisfy, such as the logical statement ‘this statement is false’, has no solution in mathematics. This is because the statement can’t be proven true or false, and so it can’t be solved.
An unsolvable condition is one that cannot be solved using any combination of logical and mathematical steps.
This means that no matter how much time and effort is put in, a solution to the problem cannot be discovered.
To learn more about solution, click here:
https://brainly.com/question/25785824
#SPJ4
Express the area of the following shaded region in terms of (a) one or more integrals with respect to x, and (b) one or more integrals with respect to y
To express the area of the shaded region, set up one or more definite integrals using the given functions as limits of integration, either with respect to x or y.
To express the area of the shaded region in terms of one or more integrals, first identify the functions that bound the region. Let f(x) and g(x) be the functions bounding the region in the x direction, and h(y) and k(y) be the functions bounding it in the y direction.
(a) With respect to x: Area = ∫[g(x) - f(x)] dx, evaluated from a to b, where a and b are the limits of integration in the x direction.
(b) With respect to y: Area = ∫[k(y) - h(y)] dy, evaluated from c to d, where c and d are the limits of integration in the y direction.
To know more about integrals visit:
https://brainly.com/question/31433890
#SPJ11
a. 64
b.4
c.8
d.23
[ I NEED HELP :(( ]
You can find this by using the pythagorean theorem.
The Pythagorean Theorem states that the squares of the legs add up to the square of the hypotenuse.
The hypotenuse is the longest side, which is opposite the right angle.
The other 2 sides are the legs.
Here, the hypotenuse is BC which is 17.
AC is one leg. We are trying to find the other leg.
So you set up the equation AB^2+ 15^2 = 17^2.
This simplifies to AB^2 + 225 = 289.
AB^2 = 64.
AB = 8.
ZD, ZE, and ZF are the perpendicular bisectors of ABC. Use that information to find the length of each segment. Not that the figure is not drawn to scale.
Given:
ZD=44
ZA=87
FC=75
Find: ZC and AC
Answer:
ZC = 87, AC = 150Step-by-step explanation:
Attached screenshot, for some reason can't save as answer
–y + 6y − 16y + 15y = –16
Answer:
y=-4
I think it helps you
Step-by-step explanation:
\(\tt{-y+6y-16y+15y=-16 }\)
\(\tt{ 21y-17y=-16 }\)
\(\tt{4y=-16 }\)
\(\tt{ y=\dfrac{-16}{4} }\)
\(\bold{ y=-4 }\)
This should be the last of my questions today
When the perimeter of a rectangle is 36 units and the width is 4 units less than the
length. What is the value of l?
Answer: C
Step-by-step explanation:
The diagram I made below shows that the rectangle has a perimeter of 36 units. The width has to be 4 units less than the length. In order for the for the perimeter to be 36 units, the length would have to be 11 units. 4 units less than the length would then be 7 for the width. When you add them up, 7+7+11+11=36. Therefore the answer (length) is 11.
11
7 l 36 l 7
l l
11
Length (L) =11
Please vote me brainliest! Thanks!
Które z poniższych czworokątów są równoległobokami? W każdym równoległoboku pokoloruj jedną parę boków równoległych na zielono, a drugą na czerwono.
Answer:
Jwvqucagabanakabakqbaoanq??
ywuquqkqkakak
What does it mean to have 2 equal roots?
Therefore , it means if an equation have 2 roots , it means it is a quadratic function .
What is square root ?A number's root is that factor of the number that, when multiplied by itself, yields the original number. Specifically, squares and square roots are exponents. Think of the number nine. This can be expressed as or as 3 x 3.
Here,
If an equation have 2 roots , it means it is a quadratic function
If D=0, a quadratic function has two roots that are equal.
D (discriminant) = 0
=>b24ac=0 is required for a polynomial function to have equal roots.
Therefore , it means if an equation have 2 roots , it means it is a quadratic function .
To know more about square root , visit
brainly.com/question/29286039
#SPJ4
Given: cot theta = - 3/4 , sin theta < 0 and 0 <= theta <= 2pi
Given: cot theta = - 3/4 , sin theta < 0 and 0 <= theta <= 2pi. So. the value of theta that satisfies the given conditions is theta = 7π/6.
The given information states that cot(theta) = -3/4 and sin(theta) < 0, along with the restriction 0 <= theta <= 2π.
We can start by using the definition of cotangent to find the value of theta. The cotangent of an angle is the ratio of the adjacent side to the opposite side in a right triangle.
Since cot(theta) = -3/4, we can set up a right triangle where the adjacent side is -3 and the opposite side is 4. The hypotenuse can be found using the Pythagorean theorem.
Using the Pythagorean theorem, we have: hypotenuse^2 = (-3)^2 + 4^2 = 9 + 16 = 25. Taking the square root of both sides, we get the hypotenuse = 5.
Now, we can determine the sine of theta using the triangle. Since sin(theta) = opposite/hypotenuse, we have sin(theta) = 4/5.
Given that sin(theta) < 0, we can conclude that theta lies in the third quadrant of the unit circle.
The angle theta in the third quadrant with a sine of 4/5 can be found using the inverse sine function (arcsin). However, since we know that cot(theta) = -3/4, we can also use the relationship between cotangent and sine.
We know that cot(theta) = 1/tan(theta) and tan(theta) = sin(theta)/cos(theta). Since cot(theta) = -3/4, we can substitute sin(theta)/cos(theta) = -3/4 and solve for cos(theta).
Rearranging the equation, we have cos(theta) = -4/3.
Now, we have sin(theta) = 4/5 and cos(theta) = -4/3. From these values, we can determine that theta lies in the third quadrant.
The angle theta in the third quadrant with a sine of 4/5 is theta = 7π/6.
In conclusion, the value of theta that satisfies the given conditions is theta = 7π/6.
To learn more about cotangent, click here: brainly.com/question/30342816
#SPJ11
Patty rolls a six-sided number die 120 times. How many times should she expect to roll a
prime number?
Answer is 60 times.
Explanation:
Prime numbers in a die are 2, 3 and 5 (i.e. 3 numbers)
Total outcomes can be 1, 2, 3, 4, 5 and 6 (i.e. 6 numbers)
Probability
= Number of preferred outcomes/ Total number of outcomes
= 3/6
= 1/2
= 0.5
Probability of getting a prime number while throwing the dice 120 times
= 0.5 × 120
= 60 times
3. What is the solution of the following
addition equation?
t+8= 32
A. =4
B. = 24
C. r=40
D. 1 = 256
Please help
Answer:
(B) 24 I believe is the answer
match the terms to their definition. 1. kilometer one thousandth of a meter 2. centimeter one hundredth of a meter 3. millimeter one thousand meters
A kilometer is a unit of length in the metric system equal to one thousand meters
What is distance in math?
As its name implies, any distance formula outputs the distance (the length of the line segment). In coordinate geometry, there is a number of formulas for finding distances, such as the separation between two points, the separation between two parallel lines, the separation between two parallel planes, etc.
Kilometer: A kilometer is a unit of length in the metric system equal to one thousand meters. It is commonly used to measure long distances, such as the distance between two cities or countries.
Centimeter: A centimeter is a unit of length in the metric system equal to one hundredth of a meter. It is commonly used to measure small distances, such as the length of an object or the distance between two points.
Millimeter: A millimeter is a unit of length in the metric system equal to one thousandth of a meter. It is an even smaller unit of measurement than a centimeter and is commonly used to measure very small distances, such as the thickness of a sheet of paper or the diameter of a small object.
In the metric system, each unit of length is based on powers of 10. This means that each unit is ten times larger or smaller than the one next to it. Hence, This system of measurement makes it easy to convert between units and to measure distances of all sizes.
Learn more about distance, by the following link.
https://brainly.com/question/26046491
#SPJ4
Brooke and her two friends are splitting the bill at a restaurant
evenly. Brooke volunteers to leave a $5 tip. If Brooke pays $35 for
her share, how much was the bill?
The odometer in a car measures the number of miles driven by the car since it was made. During a trip, the odometer reading in Anita’s car is modeled by the function y=9500+55x, where x represents the number of hours driven during the trip and y represents the odometer reading in miles.
Part A
What is the meaning of the rate of change in this function?
The number of miles driven each hour during the trip.
The total number of miles driven at the beginning of the trip.
The total number of miles driven at the end of the trip.
The number of miles driven during the trip.
Question 2
Part B
What was the odometer reading, in miles, before Anita’s trip?
Answer:
Step-by-step explanation:
Part A
The units on 9500 must be miles. So if x is time, then 55 must be the rate at which she travels ie 55 miles per hour. So the answer must be A.
Part B
The trip began when the time was zero. Therefore x is zero. What remains is the mileage on the odometer when x = 0. The answer must be 1950.
compound inequality problem: 3x-10<4(x-2)
Answer:
x >-2
Step-by-step explanation:
3x-10<4(x-2)
3x - 10<4x-8
grouping liked terms
3x-4x<-8+10
-x<2
divide through by coefficient of x
x > -2
a diver was collecting water samples from a lake. he collected a sample at every 3m, starting at 5m below water surface. the final sample was collected at a depth of 35m.how many sample did he collected
The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.
We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.
The total depth range is:
35 m - 5 m = 30 m
The distance between each sample is 3 m, so the number of samples is:
(30 m) / (3 m/sample) + 1 = 10 + 1 = 11
Therefore, the diver collected a total of 11 water samples.
40000 is divided by the smallest number so that the result is a perfect cube. find the cube root of the resulting number.
The Cube root of the resulting number is 8.
The smallest number that 40000 can be divided by so that the result is a perfect cube, we need to factorize 40000 into its prime factors:
\(40000 = 2^6 \times 5^4\)
To make this a perfect cube, we need to ensure that the powers of each prime factor are multiples of 3.
The smallest number we can divide 40000 by so that the result is a perfect cube is:
\(40000 = 2^6 \times 5^4\)
Now we can find the cube root of the resulting number:
\(3\sqrt (40000 \div 100) = 3\sqrt400 = 8.\)
Factories 40000 into its prime components in order to determine.
The least number that the result may be divided by while still producing a perfect cube.
The powers of each prime factor must be multiples of three in order for this to be a perfect cube.
The least number that 40000 may be divided by to produce a perfect cube is:
For similar questions on Cube Root
https://brainly.com/question/26726803
#SPJ11
three puls sevendfive
Answer:
78
Step-by-step explanation:
\(75+3\)
All we have to do is add 3 to the number 75.
We can do this by counting.
76, 77, 78
So 75 + 3 = 78
Answer:
3 + 75 = 78
Step-by-step explanation:
Split the 75 to make 70 and 5. Now add 3 to the 5.
3 + 5 = 8
Now add the 70 back to the 8. Now you have 78.
You could also count up from 70 3 times. 76 77, 78
Solve the system of linear equations using any method
Answer:
(-1,-1)
Step-by-step explanation:
Rearange the equation
5y=6x+1 + 4y=-6x-10
9y = -9
y = -1
The only option with y as -1 is the second one
You can plug in -1 as x into any of the equations
5y=6x+1
-5 = -6+1
Hope this helps
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer: c = 13.96 or \(\sqrt{194.6}\)
Step-by-step explanation:
\(a^{2}+b^{2}=c^{2}\)
a and b = side lengths
c = hypotenuse
\(8.6^{2}+11^{2}=c^{2}\)
\(73.96 + 121=c^{2}\)
\(194.96=c^{2}\)
\(\sqrt{194.6} =c\)
\(c = 13.9628 = 13.96\)
Answer:
YZ = 13.96
m∡Z = 52°
m∡Y = 38°
Step-by-step explanation:
found YZ first by using Pythagorean Theorem:
11² + 8.6² = YZ²
YZ² = 194.56
YZ = √194.56
YZ = 13.96
Used Law of Sines to find m∡Z:
sin 90°/13.96 = sin Z/11
sin Z = 11/13.96
arcsin Z = 52°
180 - (90 + 52) = m∡Y
m∡Y = 38°
what is w if w over 6 equals 3 over 8
Answer:
w = -12Step-by-step explanation:
To solve this, we need to isolate the variable.
w/6 + 5/8 = -1 3/8=> w/6 + 5/8 = -11/8=> w/6 = -11/8 - 5/8=> w/6 = -16/8=> w/6 = -2=> w = -12Hence, the value of the variable is -12.
When palpating the abdomen, you should note whether the liver is enlarged in the:a. left lower quadrant.b. midepigastric region.c. periumbilical area.d. right upper quadrant.
When palpating the abdomen, you should note whether the liver is enlarged in the right upper quadrant, option d.
The liver is the largest internal organ located in the upper right portion of the abdomen. When assessing for liver enlargement through palpation, healthcare professionals typically focus on the right upper quadrant of the abdomen.
Anatomical Location: The liver is positioned primarily in the right upper quadrant of the abdomen. It is situated beneath the right rib cage, extending from the midline to the right side of the abdomen. The liver does not extend into the left lower quadrant (a), mid-epigastric region (b), or periumbilical area (c).Liver Enlargement: Palpation is a technique used to assess the size, consistency, and tenderness of organs or structures within the abdomen. When examining for liver enlargement, the right upper quadrant is the most appropriate location to focus on. Enlargement of the liver, known as hepatomegaly, may occur due to various conditions such as liver disease, hepatitis, cirrhosis, or tumors.By concentrating on the right upper quadrant during palpation, healthcare professionals can gather information about the size, tenderness, or abnormalities of the liver. This specific region provides the best access and proximity to assess the liver and detect any potential enlargement or abnormalities.
To learn more about liver: https://brainly.com/question/16326193
#SPJ11