PLEASE HELP
Joannie lent $200 to her sister. Four years later, her sister repaid her in full with $228. What simple annual interest rate did Joannie's sister pay?
A. 3.0%
B. 3.5%
C. 4.0%
D. 4.5%

If the mean seasonal factor for June was 96.9, and the sum for all twelve months is 1195, the adjusted seasonal index for June is 8.11

To calculate the adjusted seasonal index for June, we need to divide the mean seasonal factor for June by the sum of the seasonal factors for all twelve months and then multiply the result by 100.

Adjusted seasonal index for June = (Mean seasonal factor for June / Sum of seasonal factors for all twelve months) × 100

Adjusted seasonal index for June = (96.9 / 1195) × 100 ≈ 8.11

The adjusted seasonal index for June is approximately 8.11.

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The identities among the given statements are:

tan x = sin x / cos x

sin x / tan x = cos x

We have,

Let's analyze each of the given statements to determine whether they are identities:

tan x = sin x / cos x:

This is an identity.

It is known as the fundamental identity of trigonometry, as it holds true for all values of x (except when cos x is equal to 0).

tan x cos x = sin x:

This is not an identity.

It is a specific equation that may be true for certain values of x, but it does not hold true for all values of x.

cos x = tan x sin x:

This is not an identity.

Similar to the previous statement, it is a specific equation that may be true for certain values of x, but it does not hold true for all values of x.

sin x / tan x = cos x:

This is an identity.

It can be derived from the fundamental identity by dividing both sides by cos x, resulting in sin x / cos x = cos x / cos x, which simplifies to sin x / tan x = cos x.

Thus,

The identities among the given statements are:

tan x = sin x / cos x

sin x / tan x = cos x

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Answer:

92         4× 23

Step-by-step explanation:

sorry if im incorrect

Answer:

Carl solves 69 multuplication problems

Answer:

m = $14/day

w = $6/day

Step-by-step explanation:

See attached image.

Answer:

0.6376785714275 is the average degrees celcius in the city.

Step-by-step explanation:

In order to find the average, I must add the numbers and divide them by 4.

2.34 + -2/7 + -0.45 + 3/8 = 2.55071428571

2.55071428571/4 = 0.6376785714275

I AM 100% SURE

Can I have Brainliest?

Answer: C. Y = 5x + 5

Step-by-step explanation:

    We need to write, or decide on, the equation for the blue line as this line represents the trend line for this scatter plot. We will write this in slope-intercept form. See attached for a visual.

    First, we will find our slope. We will use \(\frac{rise}{run}\) for this since we have a graph with clear points. See attached, we count up [5] and then count to the right [1] for a slope of 5.

     -> Slope = 5

   Now, we will find our y-intercept. This is where the line intersects the y-axis. The line hits the y-axis at point (0, 5) giving us a y-intercept of 5.

     -> Y-intercept = 5

   Lastly, we will write our equation and decide on an answer.

y = mx + b

y = (5)x + (5)

Y = 5x + 5

             C. Y = 5x + 5

Answer:

\(gradient = - 3 \\ y = mx + c \\ 2 = ( - 3 \times 0) + c \\ c = 2 \\ \therefore \: y = - 3x + 2 \\ y = 2 - 3x\)

Answer:I think is am B

Step-by-step explanation:

Step-by-step explanation:

(5x)°+(3x+4)°=180°

5x+3x+4=180

8x=176

x=22

D=5x

D=110°

Answer:

\(12\) cm

Step-by-step explanation:

If Kelsey knit a total of \(6\) cm of scarf over \(2\) nights, then we know that she can knit \(\frac{6}{2}=3\) cm each night. Therefore, after \(4\) nights of knitting, Kelsey would have knit a total of \(3*4=12\) cm of scarf in total. Hope this helps!

Hi!

Let's solve the equation for x!

\(\mid\bold{x-1\mid+5=2}\)

Step 1:

\(\bold{\mid x-1\mid=-3}\)

Now it's a little easier to solve! :')

Now, What does | | mean ?

Remember, It means "absolute value", and it's Always a positive number.

And this statement states: "take the absolute value of x-1, Whatever that happens to be, And it'll equal -3".

But that's impossible!

Therefore, this equation has no solutions.

I hope I helped you, have a wonderful day!

- stargazing \(\tiny\pmb{0.2}\)

\(\huge\text{Hey there!}\)

\(\mathsf{|x - 1| + 5 = 2}\)

\(\large\text{Add }\rm{-5}\large\text{ to both sides: }\)

\(\mathsf{|x - 1| + 5 - 5 = 2 - 5}\)

\(\large\text{Simplify it:}\)

\(\mathsf{|x - 1| = 2 - 5}\)

\(\mathsf{|x - 1| = -3}\)

\(\large\text{Since, the absolute value is SMALLER than 0, we have no solutions}\)

\(\huge\boxed{\text{Answer: }\mathsf{No\ solutions}}\)\(\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

The future value of $12,250 after 8 years, with a 4% annual interest rate compounded quarterly, is approximately $16,495.11.

To calculate the future value of $12,250 after 8 years with an annual interest rate of 4% compounded quarterly, we can use the formula for compound interest:

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

Where:

FV is the future value

PV is the present value (initial amount)

r is the annual interest rate (in decimal form)

n is the number of compounding periods per year

t is the number of years

Given:

PV = $12,250

r = 4% = 0.04 (as a decimal)

n = 4 (compounded quarterly)

t = 8 years

Plugging in these values into the formula, we get:

FV = $12,250 * (1 + 0.04/4)^(4*8)

= $12,250 * (1 + 0.01)^(32)

= $12,250 * (1.01)^(32)

Using a calculator, we can evaluate this expression to find the future value:

FV ≈ $12,250 * 1.349858807576003

FV ≈ $16,495.11

Therefore, the future value of $12,250 after 8 years, with a 4% annual interest rate compounded quarterly, is approximately $16,495.11.

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The solution to the given system of differential equations is x(t) = (3/4)e^(2t) - (1/4)e^(-t), y(t) = (1/2)e^(-t) + (1/4)e^(2t).

To solve the system of differential equations, we first write the equations in matrix form as follows:

[1, -2; -3, 5] [x; y] = [0; 0]

Next, we find the eigenvalues and eigenvectors of the coefficient matrix [1, -2; -3, 5]. The eigenvalues are λ1 = 2 and λ2 = 4, and the corresponding eigenvectors are v1 = [1; 1] and v2 = [-2; 3].

Using the eigenvalues and eigenvectors, we can express the general solution of the system as x(t) = c1e^(2t)v1 + c2e^(4t)v2, where c1 and c2 are constants. Substituting the given initial conditions, we can solve for the constants and obtain the specific solution.

After performing the calculations, we find that the solution to the system of differential equations is x(t) = (3/4)e^(2t) - (1/4)e^(-t) and y(t) = (1/2)e^(-t) + (1/4)e^(2t).

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Another term for roots or x intercept is zeroes.

In algebra, a quadratic equation is any equation that can be rearranged in standard form ax^2+bx+c, where x represents an unknown value, and a, b, and c represent known numbers, where a ≠ 0. (If a = 0 and b ≠ 0 then the equation is linear, not quadratic.)

The numbers a, b, and c are the coefficients of the equation and may be distinguished by respectively calling them, the quadratic coefficient, the linear coefficient and the constant coefficient or free term.

Roots are also called x-intercepts or zeros. A quadratic function is graphically represented by a parabola with vertex located at the origin, below the x-axis, or above the x-axis. Therefore, a quadratic function may have one, two, or zero roots.

Hence , another term for roots or x intercept is zeroes.

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Answer:

A=(pie) r^2

Step-by-step explanation:

A = Area

(pie) = 3.14

r^2 = (r is the radius)

Answer:

pi r^2

Step-by-step explanation:

That is your answer

Answer:

x=180-90-54, y=180-x,z=90

Step-by-step explanation:

the sum of the degree of a triangle will equal 180. the sum of the degree of a line will equal 180.

The cheapest straightedge and compass construction of two perpendicular straight lines will cost you 11¢. This is because each use of the straightedge costs 3¢, and each use of the compass costs 5¢. Therefore, it takes three uses of the straightedge (3 x 3¢ = 9¢) and two uses of the compass (2 x 5¢ = 10¢) to create the two perpendicular straight lines, for a total of 11¢. So it will cost you  11¢

To create the perpendicular lines, first move the straightedge to create a line segment with one endpoint at the origin. Next, place the compass at one endpoint of the line segment and draw an arc with the desired radius, cutting the line segment at another point. Then, repeat this process with the straightedge and compass, but with the compass at the new endpoint and draw a perpendicular arc, intersecting the original arc. This will create the two perpendicular lines.

Each time you move the straightedge or compass, you incur a new charge. As outlined above, it will take three moves of the straightedge and two moves of the compass, for a total of five moves and a cost of 11¢.

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Answer:

4

Step-by-step explanation:

44w55

Markov chain model with periodic classes of states can be exemplified by a weather model and ergodic system in a Markov chain is the game of Monopoly.

Example of Markov chain with periodic classes of states:

One example of a Markov chain model with periodic classes of states is a weather model that includes seasonal variations. Let's consider a simplified model with three states: sunny, cloudy, and rainy. In this model, the weather is observed over a long period of time, and it is known that the weather tends to follow a cyclic pattern, transitioning from one season to another. The stochastic matrix representing this Markov chain will have non-zero probabilities for transitions between states within the same season (e.g., sunny to sunny, cloudy to cloudy, rainy to rainy), but zero probabilities for transitions between states in different seasons (e.g., sunny to rainy, rainy to cloudy). This creates periodic classes or groups of states that correspond to the different seasons, resulting in a Markov chain with periodic behavior.

Example of ergodic system in a Markov chain:

A common example of an ergodic system in a Markov chain is the game of Monopoly. In Monopoly, players move around the board based on the outcome of rolling dice. The states in this Markov chain correspond to the positions on the board. Each roll of the dice determines the transition probabilities from one state (position) to another. In an ergodic system, it means that it is possible to reach any state from any other state in a finite number of steps. In the context of Monopoly, this means that players can move from any position on the board to any other position by rolling the dice and following the game rules. The stochastic matrix for this Markov chain will have non-zero probabilities for transitions between all states, reflecting the possibility of moving to any position on the board from any other position.

In summary, a Markov chain model with periodic classes of states can be exemplified by a weather model that represents the cyclic nature of seasons, while an example of an ergodic system in a Markov chain is the game of Monopoly, where players can reach any position on the board from any other position through successive dice rolls and gameplay.

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A common everyday counting unit that is used to mean 12 of an object is a Dozen

Dozen is derived from the Old French word "douzaine" which means twelve each. In most situations, a dozen is used to refer to a group of twelve items. The term dozen is also used in informal situations to refer to a very large number of objects. For example, one might say "I have dozens of friends!" to mean that they have a lot of friends.

Dozen is a useful term when counting items. It allows for large numbers to be easily broken down into manageable groups. For example, if you have 120 pencils, you could easily count them by saying that you have 10 dozen pencils. It can also be useful when talking about fractions. For example, instead of saying "one and a half of an item," one could say "one and a half dozen of an item."

Dozen is a common everyday counting unit that is used to mean 12 of an object. It is a useful term when counting items and when talking about fractions, and can be used in both formal and informal settings.

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Answer:

a answer is correct

Step-by-step explanation:

A. 3.6 percent , implying that prices have increased 16-fold.

may be this is helpful answer!

The correct answer is c. 4 percent, implying that prices have increased 16-fold.

Given that we need to determine the average annual U.S. inflation rate was about,

If the average annual U.S. inflation rate over the last 80 years was 4 percent, it means that prices, on average, increased by 4 percent each year.

To calculate the total increase over 80 years, we can use the compound interest formula.

Using the formula \(A = P(1 + r/n)^{(nt)\), where:

A is the final amount (price increase),

P is the principal amount (initial price),

r is the annual interest rate (inflation rate),

n is the number of times interest is compounded per year (assuming it's compounded annually),

and t is the number of years,

We can plug in the values and solve for the factor by which prices have increased:

\(A = P(1 + r/n)^{(nt)\)

\(16 = 1(1 + 0.04/1)^{(1\times80)\)

Simplifying further:

\(16 = (1.04)^{80\)

Taking the 80th root of both sides:

\(16^{(1/80)} = 1.04\)

This implies that prices have increased by a factor of approximately 1.04, or 16-fold, over the last 80 years, given an average annual inflation rate of 4 percent.

Hence the correct answer is c.

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Explanation:

The ratio 3:5 is equivalent to 3x:5x after multiplying both parts by x.

Jess has 3x dollars and Marie has 5x dollars

3x+5x = 64

8x = 64

x = 64/8

x = 8

Therefore,

The ratio 24:40 reduces to 3:5 after dividing both parts by the GCF 8.

---------------------------

Another way to solve:

m = amount Marie has

64-m = amount Jess has

3/5 = (64-m)/m

3m = 5(64-m)

3m = 320-5m

3m+5m = 320

8m = 320

m = 320/8

m = 40 dollars is the amount Marie has

The displacement and distance traveled depend on the given time interval.

To find the displacement, we need to integrate the velocity function from 0 to 5 or 0 to 5π, depending on the given time interval.

If the time interval is [0,5], we have:

Displacement = ∫[0,5] v(t) dt
Displacement = ∫[0,5] 6cos(t) dt
Displacement = [6sin(t)] from 0 to 5
Displacement = 6sin(5) - 6sin(0)
Displacement ≈ 2.785 meters

If the time interval is [0,5π], we have:

Displacement = ∫[0,5π] v(t) dt
Displacement = ∫[0,5π] 6cos(t) dt
Displacement = [6sin(t)] from 0 to 5π
Displacement = 0 - 6sin(0)
Displacement = 0 meters

To find the distance traveled, we need to integrate the absolute value of the velocity function over the given time interval.

If the time interval is [0,5], we have:

Distance = ∫[0,5] |v(t)| dt
Distance = ∫[0,5] |6cos(t)| dt
Distance = ∫[0,π/2] 6cos(t) dt + ∫[π/2,5] -6cos(t) dt
Distance = [6sin(t)] from 0 to π/2 + [-6sin(t)] from π/2 to 5
Distance = 6 - 6sin(5) ≈ 2.215 meters

If the time interval is [0,5π], we have:

Distance = ∫[0,5π] |v(t)| dt
Distance = ∫[0,5π] |6cos(t)| dt
Distance = ∫[0,π] 6cos(t) dt + ∫[π,2π] -6cos(t) dt + ∫[2π,3π] 6cos(t) dt + ∫[3π,4π] -6cos(t) dt + ∫[4π,5π] 6cos(t) dt
Distance = [6sin(t)] from 0 to π + [-6sin(t)] from π to 2π + [6sin(t)] from 2π to 3π + [-6sin(t)] from 3π to 4π + [6sin(t)] from 4π to 5π
Distance = 0 meters

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Answer:

-3√64, 6√64, -3√-64, √64

Answer:

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Let banana = b

Oranges = a

3b + 2a = 4.50 - - - (1)

a = 0.75 + b - - - (2)

Substitute (2) into (1)

3b + 2(0.75 + b) = 4.50

3b + 1.5 + 2b = 4.50

5b = 4.50 - 1.50

5b = 3

b = 3/5

b = $0.6

a = 0.75 + 0.6

a = $1.35

Answer:

The answer is 6.4

Step-by-step explanation:

Since a^2+b^2=c^2, then 5^2+4^2=6.4^2

A sequence or series is the generalized form of the pattern thus the third term of the given sequence 20 - n² is 11.

A sequence's series is the total number of terms in the sequence.

A series follows some pattern for example if you take data set of natural numbers then there will be a sequence of that data and something will be due to that we can form that series.

As per the given sequence, 20 - n²

The 20 - n² represents the nth term of the sequence.

Thus a(n) = 20 - n²

For the third term n = 3

a(3) = 20 - (3)²

a(3) = 20 - 9 = 11

Hence "A sequence or series is the generalized form of the pattern thus the third term of the given sequence 20 - n² is 11".

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Answer:

3.38pi

Step-by-step explanation:

Using simple math and the equation for finding the volume of a sphere, we can see that by taking the height of 10, and the volume of 30, that with that information we can deduce that the radius of the cone would be 1.69pi. With this information, we know the radius is half of the diameter. Therefore, we multiply 1.69 by 2, to get our end result, 3.36pi

Answer:

less than

Step-by-step explanation:

Answer:

B) less than

Step-by-step explanation:

We can start by looking at the number infront of the fractions. We know that 2 is less than 3 which also means that 2 and 7/8 is less than 3 and 1/4.

I hope this helps!!

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