Simple interest formula:
Total = start value x (1 + (rate x time))
Total = 13,000 x (1 + (0.047 x 6))
Total = 13000 x 1.282
Total = £16,666
To win in the New York State lottery, one must correctly select 6 numbers from 59 numbers. The order in which the selection is made does not matter. How many different selections are possible?
32,441,381,280 different selections are possible.
Amount calculationGiven that to win in the New York State lottery, one must correctly select 6 numbers from 59 numbers, and the order in which the selection is made does not matter, to determine how many different selections are possible the following calculation must be performed:
59 x 58 x 57 x 56 x 55 x 54 = X32,441,381,280 = XTherefore, 32,441,381,280 different selections are possible.
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Using the following function, explain how the following features (asymptotes,
intercepts, holes) can be identified/constructed in the graph.
3(2-3)(x+2)(x-4)/8(6+9) (2-3)
The given asymptote, intercepts and holes of the given function depends
on the numerator and denominator of the function from which we have;
The vertical asymptote is the line x = -9The x-intercept occurs at the points, x = -2, and x = 4, the y-intercept is located at the point at which y = [tex]-\dfrac{1}{3}[/tex]The hole is at the point (3, 0)How can the properties of the function be found?The given function is presented as follows;
[tex]f(x) = \mathbf{ \dfrac{3 \cdot (x - 3) \cdot (x + 2) \cdot (x - 4)}{8 \cdot (x + 9) \cdot (x - 3)}}[/tex]
Given that there is a common factor of (x - 3) in the numerator and the denominator, we have;
[tex]f(x) = \mathbf{\dfrac{3 \cdot (x + 2) \cdot (x - 4)}{8 \cdot (x + 9)}}[/tex]
The asymptote is obtained by equating the denominator to zero as follows;
8·(x + 9) = 0
x = -9
The asymptote is the line x = -9The intercepts is given by the points the x or y-value are zero, which gives;
[tex]At \ an \ intercept, \ f(x) = \dfrac{3 \cdot (x - 3) \cdot (x + 2) \cdot (x - 4)}{8 \cdot (x + 9) \cdot (x - 3)}= 0[/tex]
3·(x - 3)·(x + 2)·(x - 4) = 0
Therefore;
x = -2, x = 4 at the x-intercepts[tex]At \ the \ \mathbf{y-intercept}, \ f(0) = \dfrac{3 \cdot (0- 3) \cdot (0 + 2) \cdot (0 - 4)}{8 \cdot (0 + 9) \cdot (0 - 3)}= -\dfrac{1}{3}[/tex]
The hole is given by the point where the function is zero.
Placing (x - 3) = 0 in the denominator
Therefore;
A hole is the point x = 3Learn more about asymptotes and intercepts here:
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Make C the subject of the formula:
F=9/5 C + 32
A shoe store stocks 4 pairs of boots for every 5 pairs of athletic shoes. When the store stocks 40 pairs of athletic shoes, how many pairs of boots will they stock?
Group of answer choices
A. 16
B. 20
C. 32
D. 35
Answer:
32
Step-by-step explanation:
40/5=8
8×4=32
Answer:32
Step-by-step explanation:the ratio is 4 boots for every 5 athletic shoe so you divide 40 by 5 and get 8 so you have to multiply 8 by 4 which 32 so when they stock 40 pair of athletic shoes they will also stock 32 pairs of boots
Find the value of y when u= 3 and v= -2 y=4uv -3v
Answer:
-18
Step-by-step explanation:
so substitution is the answer! (not literally the answer though lol)
y = 4(3)(-2) - 3 (-2)
y = 4(-6) + 6
y = -24 + 6
y = -18
Answer:
y=-18
Step-by-step explanation:
y=4uv-3v
y= 4(3)(-2)-3(-2)
12(-2)+6
-24+6
y=-18
vi) Briefly explain the effects of migration in various areas.
Answer:
first it is not a maths question
second the ans to the question
Step-by-step explanation:
please mark brainliestplezzzzz........
Migration is when people move from one place to another.
The impact of people moving from one place to another can either be positive. The positive aspects are:
The people can enjoy better infrastructural facilities like good roads, stable power supply etc.The standard of living of the people can be enhanced.There will be access to education and job opportunities for the migrants.The negative effects of migration can include
Pressure on the public services and the natural resources.
Overcrowding.Increase in pollution.Increase in social vices like robbery.Read related link on:
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The bumper car ride at the state fair has 3 red cars, 4 green cars, and 5 blue cars. Michelle is first in line for the ride and is assigned a car at random. Garth is next in line and is randomly assigned a car. What is the probability that both Michelle and Garth will drive a red bumper car? Express your answer as a percent. If necessary, round your answer to the nearest tenth.
25%
6.3%
95.5%
4.5%
Answer:
25%
Step-by-step explanation:
so you will add 4,3,5=12
3/12=0.25 then = 25%
The probability that both Michelle and Garth will drive a red bumper car is calculated as; 4.5%
What is the Probability?We are told that;
Number of red cars = 3 red cars
Number of green cars = 4 green cars.
Number of blue cars = 5 blue cars.
Total Number of Cars = 3 + 4 + 5
Total number of Cars = 12 cars
Probability that Michellewill drive a red bumper car is;
P(A) = 3/12
Probability that Garth will drive a red bumper car is;
P(B) = 2/11
Probability that both Michelle and Garth will drive a red bumper car is;
P(A ∩ B) = (3/12) × (2/11)
P(A ∩ B) = 0.045 = 4.5%
Read more about Probability at; https://brainly.com/question/251701
As part of a group exercise, four students each randomly selected a card with a side length on it. The table shows the results. Which set of students could form a triangle with their side lengths?
Will, Aubrey, and Deacon
Will, Aubrey, and Deacon
Rayna, Will, and Aubrey
Rayna, Will, and Aubrey
Deacon, Rayna, and Will
Deacon, Rayna, and Will
Aubrey, Deacon, and Rayna
Aubrey, Deacon, and Rayna
Answer:
Step-by-step explanation:
c is correct just had it
Arrange the expressions in increasing order of their values.
10° +101x110
100x101x110
10° +101+110
100x101-110
Answer:
10^0*10^1-1,
10^0*10^1*1^10,
10^0+10^1*1^10,10^0+10^1+1^10
Step-by-step explanation:
Probability: Sample Space, (In)dependent events
A coffee shop offers French roast and
Italian roast coffee.
If you can answer this correctly i'll give you brainliest
Answer:
A-3n-5=-48+(-45n)
B--5=-48-42n
C--43=-42n
43/42=n
The total degree measure for all the interior angles of a 17-gon is (blank)
degrees.
=================================
Work Shown:
n = number of sides = 17
S = sum of the interior angles of a polygon
S = 180(n-2)
S = 180(17-2)
S = 180*15
S = 2700
Answer:
2,700°
Step-by-step explanation:
Total degree measure for all the interior angles of a 17-gon
[tex] = (n - 2) \times 180 \degree \\ \\ = (17 - 2) \times 180 \degree \\ \\ = 15 \times 180 \degree \\ \\ \huge \red { \boxed{ = 2,700 \degree}}[/tex]
Help!! (23) what is the answer I am working in my homework and I was sick for last week and didn’t get to learn any!
Answer:
sorry can I help you with but it says apparently log with a base four times the height of an area less than 2000 feet square feet I really don't know but I'm going to see just try your hardest
i promise I will mark you the branliest
What was the experience of Jewish people under Persian rule?
Jewish people were forced out of their homeland.
Jewish people became afraid to worship in public spaces.
Jewish people remained and were free to practice their faith.
Jewish people persuaded the Persian ruler to convert to Judaism.
Answer:
Jewish people became afraid to worship in public spaces
Step-by-step explanation:
cause i got it on edge 2020
Which statement describes a process to solve square root b plus six minus square root b =5 Add a radical term to both sides and square both sides only once. Add a constant term to both sides and square both sides only once. Add a radical term to both sides and square both sides twice. Add a constant term to both sides and square both sides twice.
Answer:
Add a radical term to both sides and square both sides twice.
Step-by-step explanation:
Given the radical equation
√(b+6) - √b = 5
We are to evaluate the expression for the value of b
Step 1: Add the radical term √b to both sides
√(b+6) - √b +√b = 5+√b
√(b+6) = 5+√b.
Step 2: Square both sides of the equation
(√(b+6))² = (5+√b.)²
b+6 = 25+10√b+ (√b)²
b+6 = 25+10√b + b
Step 3: collect like terms
b+6-b-25 = 10√b
-19 = 10√b
Step 4: square both sides of the resulting equation
(-19)² = (10√b)²
361 = 100b
b = 361/100
b = 3.61
Based on the calculation above, the correct option is C.
Add a radical term to both sides and square both sides twice.
Answer:
C
Step-by-step explanation:
edg 2021
Write an equation for the table in the slope intercept form.
Answer:
C. y=1.6x-5
Explanation:
-5-(-8.2)= 1.6
1.6=m
-8.2=1.6(-2)=b
1.6(-2)=-3.2
-8.2-(-3.2)=-5
-5=b
hope this helps =3
5 times a number, increased by 2
less than twice the number, is 40.
Find the number.
Answer:
21/5 or 4.2
Step-by-step explanation:
we need to repeat the steps backward.
"increased by 2 than less than twice the number"
we need to add 2 to 40 and divide by 2 . (40+2)/2 = 21. "5 times a number"the previous result has to be divided by 5.
(21)/(5) = 21/5 = 4.2
Proof:
"5 times a number, increased by 2
less than twice the number, is 40."
2( 5( 21/5 ) ) - 2 =2( 21 ) - 2 = 42-2 = 40
Also, please mark me as brainliest.
Find the area
6m
4m
9m
Answer:
36
Step-by-step explanation:
The radius of a circle is (x + 9) cm. Find the area of the circle in terms of the variable x. Leave the answer in terms of .
Answer:
Area of Circle = πr²
22/7(x + 9)²
3.14 × (x²+ 81 + 18x)
Which graph has a slope of 4/5
Answer:
Step-by-step explanation:
i would be keen to answer your question.
but please provide more information in order for us to help you solve the problem.
thanks.
Answer:
I believe it is the first one. I know it isn't the second one
find the surface area no links no pdfs just type it into the answer section will give brainliest
Check the picture below.
let's firstly convert the mixed fractions to improper fractions.
[tex]\stackrel{mixed}{7\frac{1}{2}}\implies \cfrac{7\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{15}{2}} ~\hfill \stackrel{mixed}{12\frac{1}{2}}\implies \cfrac{12\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{25}{2}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{two~triangles}{2\left[ \cfrac{1}{2}\left(\cfrac{15}{2} \right)(10) \right]}~~ + ~~\stackrel{\textit{three rectangles}}{(10)(15)~~ + ~~\left( \cfrac{15}{2} \right)(15)~~ + ~~\left( \cfrac{25}{2} \right)(15)}} \\\\\\ 75~~ + ~~150~~ + ~~112.5~~ + ~~187.5\implies \boxed{525}[/tex]
There is a spinner with 10 equal areas, numbered 1 through 10. If the spinner is spun
one time, what is the probability that the result is a multiple of 5 or a multiple of 2?
Herman is traveling 125 miles from his house to the beach by car. Herman plans to stop for lunch when the ratio of the distance he has traveled to the distance he still has to travel is 2:3. What distance will Herman have traveled when he stops for lunch?
Answer:
250 miles
Step-by-step explanation:
The given distance between the house and the beach is 125 miles.
Let [tex]x[/tex] miles be the distance between the house and the lunch stop.
So, at the time of the lunch stop, he already traveled [tex]x[/tex] miles, the remaining distance is the distance between the lunch stop and the beach.
Let [tex]y[/tex] miles be the remaining distance, so
[tex]y=125-x.[/tex]
Give that the ratio of the distance he has traveled, [tex]x[/tex], to the distance he still has to travel, [tex]y[/tex], is [tex]2:3[/tex],i.e
[tex]x:y=2:3[/tex]
[tex]\Rightarrow \frac x y =\frac 2 3[/tex]
[tex]\Rightarrow \frac {x}{125-x}=\frac 2 3[/tex]
[tex]\Rightarrow 3\times x=2\times(125-x)[/tex]
[tex]\Rightarrow 3\times x=2\times125-2\timesx[/tex]
[tex]\Rightarrow 3 x=250-2x[/tex]
[tex]\Rightarrow 3x-2x=250[/tex]
[tex]\Rightarrow x=250[/tex]
Hence, the distance traveled by Herman when he stops for lunch is 250 miles.
Which expression is equivalent to the following complex fraction? 2 minus startfraction 1 over y endfraction divided by 3 startfraction 1 over y endfraction startfraction 3 y 1 over 2 y minus 1 endfraction startfraction (2 y minus 1) (3 y 1) over y squared endfraction startfraction y squared over (2 y minus 1) (3 y 1) endfraction startfraction 2 y minus 1 over 3 y 1 endfraction
The expression which is equal to the given complex fraction will be
(2-(1/y)/3+(1/y)=(2y-1)/(3y+1)
What is a complex fraction?
The complex fraction will be defined as the expression containing the fractions in their numerator and denominator or at least one of them like either numerator or denominator containing fraction in it.
now we have to find the solution to the given expression:
[tex]=\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} }[/tex]
[tex]=\dfrac{\dfrac{2y-1}{y} }{\dfrac{3y+1}{y} }[/tex]
[tex]=\dfrac{2y-1}{3y+1}[/tex]
Hence the expression which is equal to the given complex fraction will be
[tex]\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} }= \dfrac{2y-1}{3y+1}[/tex]
To know more about complex fractions follow
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Answer:
D
Step-by-step explanation:
edge 2022
Natalie is responsible for supplying drinking water for each member of the football team during all the games they play at her school. She knows that they will play a total of 12 games at the school and that there are 15 players on the team. She figures that each player will drink 2 bottles of water during each game. What would be a good first step for Natalie to perform when solving this problem?
Answer:
360 bottles.
Step-by-step explanation:
the first step i would start off with is getting the number of bottles needed, which is the 12 games, times the 2 per game, which gives us 24 bottles. so if 24 bottles are needed for one player, we can figure out the total number of bottles needed by multiplying 24 bottles per player, by the 15 players and we get 360 bottles of water.
Hope this helps, please rate 5 stars and give brainlest!
Raul opened a savings account with $3,500 . Each week , x , raul pays the dog sitter $25 from his saving account. Write a function, f(x) , that is equal to the amount of money in the account after Raul pays the dog sitter each week .
Answer:
f(x) = -25d + 3,500
Step-by-step explanation:
Raul opened a savings account with $3,500.
Each week, Dale pays the dog sitter $25 from his saving account.
Let d be the number of weeks and f(x) be the function representing the amount of money in the account after Raul pays the dog sitter d weeks.
The amount of money in the Raul's account is decreasing each week by $25, then the slope of the linear function is
Initially, at week d=0, Raul's account has $3,500, so b=3,500.
Write the function's expression in the form
f(x) = md + b
Hence,
f(x) = -25d + 3,500
T is the midpoint of SU. If ST = x + 3 and SU = 3x − 1, what is ST?
Answer: 4
Step-by-step explanation:
find the compunt intrest on rs 31250 at 12 % per annum for 12 1/2 years
i will mark you as the brainlest if you give a step by step solution
Answer:
$128847Step-by-step explanation:
given Principle at 31250
and rate = 12%
and time 12.5 years
the amount would be given by the equation
[tex]P(1+\frac{rate}{100})^{time}[/tex]
plug in values to get
[tex]31250(1+\frac{12}{100})^{12.5}[/tex]
end up with value $128847
Writing you are adding two rational numbers with different signs. How can you tell if the sum will be positive, negative, or zero
Answer:
If the 2 numbers are the same, it will be zero. If the positive number is larger than the negative number, the sum will be positive. If the negative number is larger than the positive number, then the sum will be a negative number.
Step-by-step explanation:
please help thank you
Answer:
1. 150.8 in³ (rounded to tenths place) or 48π (in terms of Pi) depending on whether your teacher wants the answer in terms of Pi or not.
2. 113.1 in³ (rounded to tenths place) or 36π (in terms of Pi)
Step-by-step explanation:
The formula for the volume of a cylinder:
height of the cylinder X Pi X (radius of the cylinder)²
1. 4² is 16, 16*3 is 48, times Pi is 48π or 150.796447.
2. 3² is 9, 9*4 is 36, times Pi is 36π or 113.097336
Let me know if you need help rounding to hundredths or thousandths place.