Answer: £1342.5
Step-by-step explanation:
y = a(1 + R)^n
y = 1290(1 + 0.005)^8
y ≈ 1342.51
∴ £1342.5
What is the sum........
Answer:
it's the last one
Step-by-step explanation:
the last one is the correct one
Raymond's bank account was overdrawn by $32.55. He makes two deposits of $100 each and then makes a purchase of $86.72. What is his account balance?
Raymond's account balance after depositing two deposits of $100 , purchase of $86.72 with overdrawn amount $32.55 is equal to $80.73.
As given in the question,
Raymond's bank account has:
Overdrawn amount in bank = $32.55
Deposits amounts by Raymond's = 2 × ( $100 )
= $200
Purchase amount = $86.72
Account balance in Raymond's account = ( $200 - $32.55 - $86.72 )
= ( $200 - $119.27 )
= $80.73
Therefore, Raymond's account balance after depositing two deposits of $100 , purchase of $86.72 with overdrawn amount $32.55 is equal to $80.73.
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please help! ill give brainliest and also please show work
Answer:
C. 445
Step-by-step explanation:
Directly proportional means that y = kx for some constant k. So you can start by substituting;
712 = 8k
k = 89
y = 5(89)
y = 445
Hope this helps! :)
Seth watches television for 2 hours each weekday and a total of 8 hours on the weekend. What fraction represents the amount of time he spends watching TV each week?
A. 5/84
B. 3/28
C. 26/168
D. 2/21
E. None of the above
Answer: 26/168 hours are spent watching TV a week.
Step-by-step explanation:
Weekdays: 2 * 5 = 10
Weekends: 8 * 2 = 16
Week total hrs: 24 * 7 = 168
10 + 16 = 26
26/168
suppose and are positive integers such that the units digit of is , the units digit of is , and the greatest common divisor of and is . what is the smallest possible value of the least common multiple of and ?
Smallest possible value of the least common multiple is 6
a =12 and b=54
In mathematics, the greatest common divisor (GCD) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers. For two integers x, y, the greatest common divisor of x and y is denoted as GCD(x,y)=[tex]\frac{x*y}{LCM(x,y)}[/tex]
GCD[12, 54] =[tex]\frac{(12*54)}{106}[/tex]=6
LCM[12, 54] =108
Also a =42 and b= 24 will give the same GCD of 6, but the LCM[42, 24] =168 which is greater than the first one.
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How do i simplify 7/4 in a fraction
It is already in the simplest form.
IS this correct? im not sure
2 Answers:
Choice B) irrational
Choice F) Natural
=====================================================
Reason:
Let's go through the answer choices.
A) The value 0 is a real number. A real number is any thing you can think of such as 2/3 or [tex]\sqrt{93}[/tex] or 10.657 or 22, assuming your teacher hasn't covered imaginary or complex numbers. This rules out choice A.B) This is one of the answers. See choice C for further explanationC) The value 0 is rational since 0 = 0/1 is a fraction of two integers, where the denominator is nonzero. Since 0 is rational, it means it cannot be irrational. The term "irrational" means "not rational". Therefore, we can conclude that 0 is not in the set of irrational numbers. This is why choice B is one of the answers, and why we can rule out choice C.D) The set of integers is {...., -3, -2, -1, 0, 1, 2, 3, ...} which consists of positive and negative whole numbers. We also have 0 in this set. So choice D is ruled out. E) The set of whole numbers is {0, 1, 2, 3, 4, ...} which has 0 in it. We can rule out choice E.F) The set of natural numbers is very similar to the whole numbers, but one key difference: zero is missing. The natural numbers is {1, 2, 3, 4, ...} which shows that choice F is the other answerFind the quotient and briefly explain the process and reasoning. Explain how you determined the location of the decimal
0.27÷0.03=
Answer:
Step-by-step explanation:
9 is the answer
(ANSWER QUICK PLEASE)1. Kasey noticed that the distribution of candy bars in the variety bags of candy bars is always the same. There are three times as many Twix Bars as Milky Ways. There are 5 fewer snickers than there are Twix.
Using proportions, the amounts are given as follows:
Small: 24 Twix, 8 Milky Ways, 19 Snickers.Medium: 30 Twix, 10 Milky Ways, 25 Snickers.Large: 42 Twix, 14 Milky Ways, 37 Snickers.What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
We have that the amount of Twix is triple the amount of Milky ways, hence:
In the small bag, there are 8 x 3 = 24 Twix.In the medium bag, there are 30/3 = 10 Milky Ways.There are 5 fewer Snickers then Twix, hence:
In the small bag, there are 24 - 5 = 19 Snickers.In the medium bag, there are 30 - 5 = 25 Snickers.In the large bag, there are 37 + 5 = 42 Twix and 42/3 = 14 Milky Ways.Hence the amounts are given as follows:
Small: 24 Twix, 8 Milky Ways, 19 Snickers.Medium: 30 Twix, 10 Milky Ways, 25 Snickers.Large: 42 Twix, 14 Milky Ways, 37 Snickers.More can be learned about proportions at https://brainly.com/question/24372153
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write a real life problem that corrosponds with the equation below 6/x + 6/2x=1
Answer:
6 people took x amount of candy and 6 other people took 2 times that same amount how much candy did they all take... (I think that works)
one last question for today this all
Check the picture below.
the function is the Cost function for the bagels, of course that'd depend on the price of each bagel, so the cost C(x) is dependent on how many independent bagels Naomi is buying, as you can see in the table in the picture.
now, if Naomi gets 10 bagels, that simply means that x = 10, thus the price is C(10), or namely C(10) = 1.25(10), so Naomi better check her pockets for $12.50 for the bagels, hopefully she'll get some cream cheese too and cocoa.
I could have given up, but I thought about my grandmother. She always told me that "people who believe that science is the answer to everything are missing out on everything else." With her words in mind, I searched some more. There were many facts that hinted that dragons may not be fictional. I noticed that cultures across the world all described dragons in similar ways. This was odd because they had no way to communicate with each other. I found dragons mentioned in more than just stories. They appeared in old legal papers, in the travel logs of Marco Polo, and in the Bible. I saw that the Chinese calendar uses a different animal each year. Dragons are included along with eleven real animals. I began to believe it was a real possibility that all of these people were talking about a creature that actually existed.
The text discusses the Chinese calendar by writing, "Dragons are included along with eleven real animals."
What does that imply? (5 points)
Dragons are the only fake animal on the Chinese calendar.
Dragons are not the only fake animal on the Chinese calendar.
Dragons are real because all the other animals on the calendar are fake.
Dragons are real because all the other animals on the calendar are real.
Answer:
Dragons are real because all the other animals on the calendar for real.
Step-by-step explanation:
Hope this helps.
3 math equation that equal 100
Step-by-step explanation:
60+40=100
70+30=100
80+20=100
hope it helps
I need help with this question
Answer: b=7
Step-by-step explanation:
6b+7+7b-8=90
6b+7b+7-8=90
13b-1=90
13b=91
b=7
find x for 14x+17=2(x+3)^2-5
The values of x will be 2 and -1.
Given that:-
[tex]14x+17=2(x+3)^2-5[/tex]
We have to find the value of x.
As it is a quadratic equation, there will be two values of x.
Opening the bracket and solving the equation further, we get,
[tex]14x+17=2(x^2+9+6x) -5\\14x+17 = 2x^2 +18+12x-5\\2x^2-2x-4 = 0\\2(x^2-x-2) =0\\x^2-x-2 = 0[/tex]
Using middle-term split theorem to solve the quadratic equation, we get,
[tex]x^2-x-2 = 0\\x^2+x-2x-2=0\\[/tex]
x(x + 1) - 2(x + 1) = 0
(x + 1)(x - 2) = 0
Hence, either x + 1 = 0 or x - 2 = 0 or both of them are 0.
x + 1 = 0
x = -1
and,
x - 2 = 0
x = 2
Hence, the values of x are 2 and -1.
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A rectangular exercise mat has an area of 48 square meters. Its length is
8 meters. What is the width of the mat?
Answer: 6 metres
Step-by-step explanation:
It can be written as 48=8x
48/8=x
x=6
Ernie writes this problem:
525 divided by 1500
HINT: The dividend is smaller on this problem.
Select each correct answer. There are THREE.
1500525
1500 over 525
5251500
525 long division enclose 1500
525 ÷ 1500
525 ÷ 1500
5251500
525 over 1500
1500525
1500 long division enclose 525
1500 ÷ 525
THERE IS THREE ANSWERS
The three ways that the problem that Ernie has written can be solved are:
525 ÷ 1500525 over 15001500 long division enclose 525What is division in mathematics?This is the term that is sued to refer to the topic in mathematics that has to do with the ways that numbers can be broken down into smaller units. The number that is being divided is often done with the aid of a divisor.
In this question, the number that is to be divided is 525 and the number that is to do the division is 1500. This can be written as 525 / 1500 for us to see clearly.
When written, we can write this out in the different ways that have been stated above. Hence we would have The three ways that the problem that Ernie has written can be solved are:
525 ÷ 1500525 over 15001500 long division enclose 525The solution is 0.35
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WILL MARK BRAINLIEST
Nilsa is working on a 60-minute math test. There are 20 questions on the test. If it takes her 20 minutes to complete 12 of the questions, what is the greatest amount of time on average she can spend on each of the remaining 8 questions?
Answer: 5 minutes
60 minutes to start -20 minutes used =40 minutes left
40 minutes left/ 8 questions = 5 minutes on average per question
A scientist needs 10 liters of 20% acid solution for an experiment, but she has only 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should sue mix to get the solution she needs?
what is a function?
Please help(30points)
Answer:
Denominator, opposite of the numerator
Step-by-step explanation:
When divided by negative, it's the inverse (+/-) and changes signs.
2 parts to a fraction
Numerator
---------------
Denominator
Hope this helps! :)
Are these shapes congruent or similar?
Answer:
congruent
Step-by-step explanation:
If a rotation takes triangle CAT to C′A′T′, what is C′T′?
triangle CAT with vertex A at negative 2 comma 1, vertex T at negative 1 comma 4 and vertex C at 0 comma 0, side AT has a measure of square root of 10 units, side TC has a measure of square root of 17 units, and side AC has a measure of square root of 5 units
3
square root of 17
5
Cannot be determined
The measure of C'T' is √17 units after the rotation .
Rotation of a graph is a transformation in which the figure is rotated around a fixed point.
The rotation can be clockwise or anti-clockwise.A complete rotation of 360 degrees puts the graph back into its original position.Rotation does not change the side length of the figure that is rotated.When a polygon is rotated about a fixed point then the transformed figure is congruent to the original figure.The given triangle is CAT and it has the coordinates as C(0,0) , A(-2,1) and T(-1,4).
So when the figure is rotated about a fixed point the side lengths will remain same as the original figure.
C'T' = CT = √17 (the value of CT is given)
Hence the length of C′T′ is √17 units .
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in a random sample of 99 residents of the state of new york, the mean waste recycled per person per day was 2.12.1 pounds with a standard deviation of 0.250.25 pounds. determine the 90�% confidence interval for the mean waste recycled per person per day for the population of new york. assume the population is approximately normal.
The mean waste recycled per person per day for the population of new- york is 1.9 < u < 2.3 .
Given that,
The mean waste recycled per person per day = 2.12
Standard Deviation = 0.250
c = 0.9 , So [tex]\alpha[/tex] =1-c =0.10
n = 9<30 so we use t critical value.
From t table we get the critical value = 1.859
90% confidence interval for the mean u
So,
X = 2.1 , s = 0.25 , n= 9
2.1 - 1.86 (0.25/[tex]\sqrt{9}[/tex]) < u < 2.1 =1.86 (0.25/[tex]\sqrt{9}[/tex])
1.954 < u < 2.225
1.9 < u < 2.3 .
Therefore,
From 1.9 < u < 2.3 we get that the population is approximately normal.
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research suggests that people who work in business and professional settings spend 26% of their time speaking, compared to 23% writing, and 19% reading. what percentage do those same people spend listening?
32% of the same people spend their time listening.
The total number of mentioned people will be 100% or 1. Now, in the total people, the remaining ones who are not stated in the question, must be the listeners. Thus, calculating the remaining percentage of people, we will get the percentage of listeners in same people.
So, number of people who spend time speaking = 26%
Number of people who spend time speaking = [tex]\frac{26}{100}[/tex]
Number of people who spend time speaking = 0.26
Number of people who spend time writing = 23%
Number of people who spend time writing = [tex]\frac{23}{100}[/tex]
Number of people who spend time writing = 0.23
Number of people who spend time reading = 19%
Number of people who spend time reading = [tex]\frac{19}{100}[/tex]
Number of people who spend time reading = 0.19
Total number of people involved in activities other than listening = 0.26 + 0.23 + 0.19
Total number of people involved in activities other than listening = 0.68
People who spend time listening = 1 - 0.68
People who spend time listening = 0.32
Percentage of people who spend time listening = 0.32 × 100
Percentage of people who spend time listening = 32%
Hence, 32% of the same people spend their time listening.
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Students were polled regarding their favorite sport. The results are shown in the bar graph. Create a circle graph from the data in the bar graph.
The circle graph/pie chart is made for the given bar graph.
What is defined as the circle graph/pie chart?A pie chart is a type of graph that displays data in a circular graph. The slices of pie represent the relative amount of information and are a type of pictorial data representation.
A pie chart necessitates a list of categorical and numerical variables. The term "pie" refers to the whole, and "slices" refer to the parts of the total.The "pie chart" or "circle chart" divides the circular statistical graphic in to the sectors or sections to illustrate numerical problems. Each sector represents a proportionate portion of the total.The Pie-chart works best for determining the composition of an object at that time.Now, as the data given in the bar graph.
The basketball is played the number of students is 4.
That is 40% of the total.
The football is played the number of students is 3.
That is 30% of the total.
The baseball is played the number of students is 2.
That is 20% of the total.
The soccer is played the number of students is 1.
That is 10% of the total.
Thus, the pi cart for the all data percentage is formed.
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What is the approximate carrying capacity of the population?
In which year, did the population reach the carrying capacity?
About how many years did it stay at carrying capacity?
Answer:
40billion for the tip question
the span of a set of vectors is the set of all possible linear combinations of those vectors, and will always include the zero vector
The spam of the sets of vector of all linear combination is 0,
The span of the set {(2, 5, 3), (1, 1, 1)} is the subspace of R 3 consisting of all linear combinations of the vectors v 1 = (2, 5, 3) and,
v 2 = (1, 1, 1).
this defines a plane in R 3.
Since a normal vector to this plane in n = v 1 x v 2 = (2, 1, −3),
the equation of this plane has the form 2 x + y − 3 z = d for some constant d. the plane must contain the origin—it's a subspace— d must be 0.
A linear equation is an equation in which the highest power of the variable is always 1. it is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form. A linear equation only has one or two variables.No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line
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please help with this question and give detailed explanation!! thank you!!
Answer:
[tex]-\sqrt{2}[/tex]Step-by-step explanation:
Make the following operations:
a² + b² = 6aba² + 2ab + b² = 8ab(a + b)² = 8aba + b = [tex]2\sqrt{2ab}[/tex]and
a² + b² = 6aba² - 2ab + b² = 4ab(a - b)² = 4aba - b = [tex]-2\sqrt{ab}[/tex], since a < bThe required value is:
[tex]\cfrac{a+b}{a-b} =\cfrac{2\sqrt{2ab} }{-2\sqrt{ab} } =-\sqrt{2}[/tex]Answer:
[tex]\dfrac{a+b}{a-b}=-\sqrt{2}[/tex]
Step-by-step explanation:
Given:
[tex]a^2+b^2=6ab[/tex]
[tex]0 < a < b[/tex]
Add 2ab to both sides of the given equation:
[tex]\implies a^2+b^2+2ab=6ab+2ab[/tex]
[tex]\implies a^2+2ab+b^2=8ab[/tex]
Factor the left side:
[tex]\implies (a+b)^2=8ab[/tex]
Subtract 2ab from both sides of the given equation:
[tex]\implies a^2+b^2-2ab=6ab-2ab[/tex]
[tex]\implies a^2-2ab+b^2=4ab[/tex]
Factor the left side:
[tex]\implies (a-b)^2=4ab[/tex]
Therefore:
[tex]\implies \dfrac{(a+b)^2}{(a-b)^2}=\dfrac{8ab}{4ab}[/tex]
[tex]\implies \dfrac{(a+b)^2}{(a-b)^2}=2[/tex]
[tex]\textsf{Apply exponent rule} \quad \dfrac{a^c}{b^c}=\left(\dfrac{a}{b}\right)^c:[/tex]
[tex]\implies \left(\dfrac{a+b}{a-b}\right)^2=2[/tex]
Square root both sides:
[tex]\implies \sqrt{\left(\dfrac{a+b}{a-b}\right)^2}=\sqrt{2}[/tex]
[tex]\implies \dfrac{a+b}{a-b}=\pm\sqrt{2}[/tex]
As 0 < a < b then:
a + b > 0a - b < 0Therefore:
[tex]\implies \dfrac{a+b}{a-b}=\dfrac{+}{-}=-[/tex]
So:
[tex]\implies \dfrac{a+b}{a-b}=-\sqrt{2}[/tex]
evaluate the function at each specified value
f(x) = 3x² + 8x-10
(a) f(2)
The value of function f(x) = 3x² + 8x-10 at f(2) is 18 .
A function in maths is a unique dating some of the inputs (i.e. the domain) and their outputs (referred to as the codomain) in which every enter has precisely one output, and the output may be traced returned to its enter.Evaluating a function method locating the value of f(x) =… or y =… that corresponds to a given value of x. To do this, genuinely update all of the x variables with something x has been assigned.We have given an function f(x) = 3x² + 8x-10
Putting x = 2 into this function , we get
f(2) = 3(2)²+ 8x -10
=3(4) + 8(2) -10
= 12 + 16 -10
= 18
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