Rashawn puts $550 in an account earning 8% simple interest annually. How many dollars will he have in his account after 6 years? HELP ASAP

The product of the two terms \(\dfrac{4n}{(4n-4)} \times \dfrac{(n-1)}{(n+1)}\) is \(\dfrac{n}{(n+1)}\).

A fraction is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25.

The product of the two fractions can be written as,

\(\dfrac{4n}{(4n-4)} \times \dfrac{(n-1)}{(n+1)}\)

Taking 4 as the common term from both numerator and denominator of the first fraction, therefore,

\(\dfrac{4n}{4(n-1)} \times \dfrac{(n-1)}{(n+1)}\\\\=\dfrac{n}{(n-1)} \times \dfrac{(n-1)}{(n+1)}\\\\\)

Now, cancelling the common factor from the numerator and the denominator, we will get,

\(=\dfrac{n}{(n-1)} \times \dfrac{(n-1)}{(n+1)}\\\\\\=\dfrac{n}{(n+1)}\)

Hence, the product of the two terms \(\dfrac{4n}{(4n-4)} \times \dfrac{(n-1)}{(n+1)}\) is \(\dfrac{n}{(n+1)}\).

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Answer:

i think its b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

It is a little over 100 and is going up by 120 each day

Answer:

5 and 5

Step-by-step explanation:

The absolute value of a number is the number but positive.

/-5/ = 5 and /5/ = 5

Hope this helps!

Answer:

16^5 + 16^4 = 16^4(16 + 1) = 16^4(17)

Step-by-step explanation:

Here, we are to use factoring to show that the given expression is divisible by 17.

That would go as follows;

16^5 + 16^4 = 16^4(16 + 1)

= 17(16^4)

This shows clearly that the expression is divisible by 17

Fraction : Word problems may involve fractions if we are dealing with partial values coming from a whole.

Total number of pages she read on Monday are 50 pages .

Total number of pages she read on Tuesday are 40 pages .

Operations with Fractions:

we have to remeber some important rules, making fractions similar for addition and subtraction, and applying the reciprocal for the divisor in division. The operations would depend on the analysis of the problem.

We have given in the problem that on Monday, Saumya read 1/3 of a book and on Tuesday, she read 2/5 of the remaining pages. After those, the remaining number of pages is 60

Firstly, we have to find the total number of pages the book has.

We will begin by finding the remaining fraction of pages after Saumya read on Monday. We will subtract 1/3 from 1 whole since she read from the beginning of the book.

1 − 1/3 = 2/3

Now, we know that on Tuesday, Saumya began reading with 2/3 remaining in the book. We will now find the fraction of the pages Saumya read on Tuesday. We know that it's 2/5 of the remaining pages, so it's 2/5 of 2/3

=> 2/5× 2/3 = 4/15 of the total number of pages of the book on Tuesday. So now, we will find the total fraction of the number of pages of the book that Samuya has read so far. This is so we can compare this fraction with the number of pages remaining. For this, we will add

1/3 + 4/15 = (5 + 4)/15 = 9/15

then 1 - 9/15 = (15-9)/15 = 6/15

This means that there would be another 6/15

= 2/5 of the book remaining and

that the remaining 2/5 of the book = 60 pages the total number of pages = 60/2/5

= 60×5/2 = 150

Therefore, the book has a total of 150 pages.

Total number of pages she read on Monday

= 1/3 of 150 = 50 pages

Total number of pages she read on Tuesday

= 4/15 of 150 = 40 pages

Hence, the total number of pages she read on Monday and Tuesday are 50 pages and 40 pages respectively.

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The observed odds ratio (the observed association between migraine headache and cell phone use) is OR = 1.23.

An investigator is studying the association between cell phone use and migraine headaches.

100 cases (migraine patients) and 100 controls (people who don't suffer from migraine), and asks each group how many hours they use their cell phones per day, on average.

To calculate odd ratio ( exposure is cell phone as to check cell phone use on migraine)

Odds of disease in exposed = 60/55= 1.09

Odd of disease in non exposed = 40/45 = 0.88

Thus the odds ratio will be = 1.09:0.88

=> Odds of disease in exposed / odds of disease in non exposed = 1.09/ 0.88 = 1.23

= OR = 1.23

Hence the answer is the observed odds ratio (the observed association between migraine headache and cell phone use) is OR = 1.23.

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Answer:

Perimeter of rhombus =4×l

16=4l

l=16/4=4

its length =4cm

area of rhombus=36cm²

base× height (here base=length)=36cm²

4h=36

h=36/4=9

:.altitude of rhombus is 9cm.

The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.

a. The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x

b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:

$0.88 = $0.60 + $0.14 * x

Subtracting $0.60 from both sides, we get:

$0.88 - $0.60 = $0.14 * x

$0.28 = $0.14 * x

Dividing both sides by $0.14, we find:

x = $0.28 / $0.14

x = 2 miles

Therefore, the cab charges $0.88 for a ride of 2 miles.

c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:

Cost = $0.60 + $0.14 * 8

Cost = $0.60 + $1.12

Cost = $1.72

Therefore, the cab charges $1.72 for a trip of 8 miles.

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Relation and Function both are same except for one thing.

Relation can have repetitive domain while Function cannot. We can say that Function is a relation without repetitive domain.

Example of Relation

{(1,1),(1,3),(2,5),(2,6),(3,46),(3,90)}

This is a relation because there are same and repetitive domain.

Example of Function

{(1,1),(2,4),(3,9),(4,16),(5,25),(6,36),(7,49)}

This can be classified as relation as well but relation that is function. We can say that function is a subset of relation. Remember that functions are relations that don't have repetitive domain while relations that are not function (or just relations) can have repetitive or same domain.

Graph of Relation and Function

Relations can have graphs along with Functions. The problem is you might not see set of ordered pairs but graph instead.

How can we tell if the graph is a function or just only relation? The answer is to do line test.

If the graph intercepts only one point then it is a function. Otherwise, no.

The vector parameterization of the tangent line to r(t) at the point P(2, 1, 3) is R(u) = (2i + j + 3k) + u(3i + j + 3k).

To find the vector parameterization of the tangent line to the curve defined by the vector function r(t), we need to consider the point on the curve where the tangent line passes through. In this case, the point P(2, 1, 3) is given.

The vector form of the tangent line is given by R(u) = P + uT, where P is the position vector of the point P and T is the direction vector of the tangent line.

The position vector of the point P is P = 2i + j + 3k.

To find the direction vector of the tangent line, we differentiate the vector function r(t) with respect to t. The result gives us the derivative vector, which represents the direction of the tangent line at any given point on the curve.

Substituting t = 2 (since we want the tangent line at the point P), we get r'(2) = i + 4j + 12k.

Therefore, the direction vector of the tangent line is T = i + 4j + 12k.

Substituting the values of P and T into the vector form R(u) = P + uT, we get R(u) = (2i + j + 3k) + u(3i + j + 3k), which represents the vector parameterization of the tangent line to the curve at the point P(2, 1, 3).

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Answer: y=5/2x+3

Step-by-step explanation:

y=mx+b

-7=(5/2)(-4)+b

b=3

y=5/2x+3

Answer:

Step-by-step explanation:

Given system:

The first equation is a horizontal line, the second equation is a line with a slope of -3.

Since the lines have different slopes, they intersect at one point.

As there is one intersection, the system has one solution.

Given that x is in quadrant 3, its value for tan x=1/2 will be 206.565°, and its value for cos(206.565°) will be -0.894.

Trigonometry is the study of angles and the angular relationships between planar and three-dimensional shapes. The cosecant, cosine, cotangent, secant, sine, and tangent are among the trigonometric functions (also known as the circle functions) that make up trigonometry. The sine, cosine, and tangent are the three fundamental trigonometric operations. The cotangent, secant, and cosecant functions are derived from these three basic functions. On these functions, all trigonometrical concepts are built.

Here,

Tan x=1/2

π<x<3π/2

x=tan⁻¹/²(1/2)

x=26.565°

As the x is in quadrant 3,

=180+26.565°

=206.565°

cos(206.565°)=-0.894

The value of x for tan x=1/2 will be 206.565° as x is in quadrant 3 and for the same value of x, cos(206.565°) will be -0.894.

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Answer:

-sqrt 5 - 2 sqrt 5/10

Step-by-step explanation:

Edge 2023

Answer:

33.9 minutes

Step-by-step explanation:

Answer:

  (1/2, -3/4)

Step-by-step explanation:

You want to solve by substitution the equations ...

We notice that the term 2y shows up in both equations. That means we can use one of them to write an expression for 2y that we can use in the other equation.

Solving the second equation for 2y, we have ...

  2y = 5x -4 . . . . . add 5x to both sides

Using this expression for 2y in the first equation gives ...

  15x +(5x -4) = 6

  20x = 10 . . . . . . . . . add 4, collect terms

  x = 1/2 . . . . . . . . divide by 20, simplify

Now, we can use our expression above to find y:

  2y = 5x -4 = 5(1/2) -4

  2y = 5/2 -8/2 = -3/2 . . . . simplify

  y = -3/4 . . . . . . . . . . . . divide by 2

The solution is (x, y) = (1/2, -3/4).

__

Additional comment

The graph confirms this solution.

You can substitute anything that is convenient. For example, we could have rewritten the first equation to be ...

  -3(-5x) +2y = 6

Then we could solve the second equation for -5x: -5x = -2y -4 and make the substitution ...

  -3(-2y -4) +2y = 6

  8y +12 = 6 . . . . . simplify

  8y = -6 . . . . . . . subtract 12

  y = -6/8 = -3/4 . . . . divide by 8

You're probably told that you need an expression for one of the variables. Solving the second equation for y gives ...

  2y = 5x -4 . . . . . . add 5x to the second equation

  y = (5x -4)/2 . . . . . . expression for y

This always works. As we have seen, in some cases it is not necessary to go this far. It usually pays to look at what you have to work with before you develop a strategy for solving it.

It takes 2 seconds to achieve the maximum height of the object.

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (also referred to as the codomain), where each input has precisely one output and the output can be linked to its input.

The height function of the object is given by:

h(t) = -16t² + 64t + 96

To find the number of seconds it takes to achieve its maximum height, we need to find the vertex of the parabola. The vertex of a parabola of the form h(t) = at² + bt + c is located at:

t = -b / 2a

where a, b, and c are the coefficients of the quadratic function. In this case, a = -16, b = 64, and c = 96. Substituting these values, we get:

t = -b / 2a = -64 / (2 * -16) = -64 / -32 = 2

Therefore, the maximum height of the object is achieved after 2 seconds. To justify this answer, we can also check that the coefficient of t² is negative, which means that the parabola opens downwards and has a maximum point. We can also use calculus to find the derivative of h(t) with respect to t:

h'(t) = -32t + 64

Setting h'(t) = 0 to find critical points, we get:

-32t + 64 = 0

t = 2

Since the second derivative is negative, h''(t) = -32 < 0, the point (2, h(2)) is a maximum point. Therefore, it takes 2 seconds to achieve the maximum height of the object.

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In the given figure, we have several angles labeled with numbers. To find their sum, we need to add up the measures of each angle. Let's break down the process step by step.

Starting with angle 1, its measure is 90 degrees, as indicated by the right angle symbol. Moving to angle 2, it forms a linear pair with angle 1, so its measure is also 90 degrees. Angle 3 is adjacent to angle 2 and forms a straight line, meaning it has a measure of 180 degrees. Next, angle 4 is a vertical angle to angle 1, so its measure is 90 degrees.

Moving on to angle 5, it is vertically opposite to angle 4, so it also measures 90 degrees. Finally, angle 6 forms a linear pair with angle 5, resulting in a measure of 90 degrees.

Now, let's add up the measures: 90 + 90 + 180 + 90 + 90 + 90 =  [insert answer here].

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Answer:

-24a^10

Step-by-step explanation:

You multiply like terms with like terms. You multiply -4 with 6, and a^5 with a^5.

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Answer:

124

Step-by-step explanation:

Answer:

vggx yvhvjvd

Step-by-step explanation:

vhbbgu hg h

Answer:

the answer is A :)

please mark me brainliest

Step-by-step explanation:

Answer:

x=z-y/a-b

Step-by-step explanation:

Answer:

6n^2 or 6n squared

Step-by-step explanation:

To find the greatest common factor we have to first find out all the factors for every other number.

Factors - Numbers you can multiply to find that number.

For example, we have 6n^3 what numbers can be multiplied to find that number?

After calculation, the average salary is 865.8644 thousands of dollars and average tenure is 7.955 years. Number of CEOs who are in their first year as CEO is equal to 5.

Here are the steps in R Studio to perform the tasks:

(a) Finding the average salary and the average tenure in the sample:

Load the CEOSAL2 data set in R Studio using the read.csv function.

       ceos <- read.csv("CEOSAL2.csv")

Calculate the average salary using the mean function:

       average_salary <- mean(ceos$salary)

Calculate the average tenure using the mean function:

average_tenure <- mean(ceos$ceoten)

(b) Finding the number of CEOs in their first year as CEO and the longest tenure as CEO:

Use the sum function and a logical test to count the number of CEOs in their first year as CEO:

first_year_ceos <- sum(ceos$ceoten == 0)

Use the max function to find the longest tenure as CEO:

longest_tenure <- max(ceos$ceoten)

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In a time series design, a researcher collects data on a dependent variable (DV) at multiple time points before and after the implementation of a treatment. If the researcher notes that every time sampled individuals are observed on the DV, the average score increases, it may be tempting to attribute this variation to the treatment.

However, caution should be exercised when making such conclusions. While the observed trend in the DV may be associated with the treatment, it's essential to consider alternative explanations, such as maturation, history, or regression to the mean. Maturation refers to the natural developmental processes that occur in participants over time, which might contribute to the observed changes. History refers to external events that could impact the DV, unrelated to the treatment. Regression to the mean occurs when extreme scores naturally become closer to the average over time, which might be mistaken as a treatment effect.

To confidently attribute variation in the DV to the treatment, the researcher should consider using a control group and a comparison group design. This allows for the comparison of changes in the DV between those who received the treatment and those who did not, reducing the likelihood of confounding variables.

In summary, although the increasing average scores in a time series design may suggest a relationship between the treatment and the DV, the researcher should be cautious when attributing this variation solely to the treatment. Other factors and potential confounding variables must be considered before making any definitive conclusions.

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Jasper's early withdrawal reduced his future annuity payments by $16,906.31.

To help Jasper compute his future annuity payment,

First, we have to calculate the future value (FV) of his investment at age 60 if he had not made any early withdrawals using the formula:

FV = \(PV (1 + r/n)^{(n*t)}\)

where:

PV = present value (amount invested)

r = annual interest rate,

n = number of compounding periods per year

t = number of years.

Given:

PV = $34,000

r = 5.4% per year

n = 12 (monthly compounding)

t = 14 years (from age 46 to age 60)

Logging the values, we get:

FV = \($34,000 (1 + 0.054/12)^{(12*14)}\)

= \($34,000 (12.0045/12)^{168}\)

= \($34,000 (1.000375)^{168}\)

FV = $68,786.56

This is the amount he would have received at age 60 if he had not withdrawn early.

Next, we shall now estimate the surrender charge and IRS fee that Jasper has to pay for his early withdrawal of $9,200.

Surrender charge = 2.2% x $9,200 = $202.40

IRS fee = 10% x $9,200 = $920

So, the total amount that Jasper receives from his early withdrawal is:

Amount received = $9,200 - $202.40 - $920 = $8,077.60

To calculate the new FV Jasper's investment by adjusting the present value (PV).

Subtract the withdrawn amount and add back the surrender charge:

New PV = $34,000 - $8,077.60 + $202.40 = $26,125.80

So, the new future value can then be calculated using the same formula:

New FV = $\($26,125.80 (1 + 0.054/12)^{(12*12)}\)

New FV = $\($26,125.80 (1.0045)^{144}\)

New FV = $26,125.80 x 2.2424

New FV = $58,651.29

Thus, Jasper's early withdrawal reduced his future annuity payments by $68,786.56 - $51,880.25 which is $16,906.31.

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Answer:48

Step-by-step explanation:

The flux of the vector-field F = 1i + 1j + 2k across the surface S is 2. We find out the flux of the vector-field using Green's Theorem.

Flux form of Green's Theorem for the given vector-field

φ = ∫ F.n ds

= ∫∫ F. divG.dA

Here G is equivalent to the part of the plane = 2x+4y+z = 2.

and given F = 1i + 1j + 2k

divG = div(2x+4y+z = 2) = 2i + 4j + k

Flux = ∫(1i + 1j + 2k) (2i + 4j + k) dA

φ = ∫ (2 + 4 + 2)dA

= 8∫dA

A = 1/2 XY (on the given x-y plane)

2x+4y =2

at x = 0, y = 1/2

y = 0, x = 1

1/2 (1*1/2) = 1/4

Therefore flux = 8*1/4 = 2

φ = 2.

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Answer:

1. C.

2. D.

Step-by-step explanation:

1. All coordinates are doubled

2.  All coordinates are halved.

The solutions to the systems of equations graphically are (-2, 3) and (3, 8)

From the question, we have the following parameters that can be used in our computation:

f(x) = x + 5

g(x) = x² - 1

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This points are located at (-2, 3) and (3, 8)

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Question

Estimate the solution to the following system of equations by graphing.

f(x) = x + 5

g(x) = x² - 1

Answer:

D. -3, -7

Step-by-step explanation:

Answer(Trả lời):

Xin lỗi nếu tôi sai (sorry if I got it wrong)

Step-by-step explanation(Giải thích):

x-intercept(s):

( √ 3.79128784 , 0 ) , ( − √ 3.79128784 , 0 )  

y-intercept(s):  

( 0 , − 3 )

NOT a parabola (Không phải parabol)