Graph y-4=2x and identify
the slope and y-intercept.

The present value of the annuity that Ian deposits $2,400 each quarter for 3 years and earning 10% interest compounded quarterly is A. $24,618.62.

The present value represents the future annuity deposits or payments compounded at a periodic interest rate to the current period.

The present value can be computed using an online finance calculator as follows:

N (# of periods) = 12 quarters )(3 years x 4)

I/Y (Interest per year) = 10%

PMT (Periodic Payment) = $2,400

FV (Future Value) = $0

Results:

Present Value (PV) = $24,618.62

Sum of all periodic payments = $28,800.00

Total Interest = $4,181.38

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Answer:

No

Step-by-step explanation:

your screwed lol

Answer:

D

Step-by-step explanation:

First, you count the total number of windows. That's 25. Then you count the number of widows with their lights off. That's 15. After this, you divide 15 by 25 to get the percent of the windows turned off. :)

Answer:

20%

Step-by-step explanation:

Basically Belle did 8 + 32 = 40 problems total. If she got 8 right then she got 8/40. 8/40 = 1/5 = 20%. :)

Answer:

The rate of change of the function is 9

Step-by-step explanation:

Mathematically, the rate of change of the function refers to the slope of the line that passes through the given points

Thus, we use the slope equation as follows;

m = (y2-y1)/(x2-x1)

(x1,y1) = (6,6)

(x2,y2) = (7,15)

Substituting these values, we have

m = (15-6)/(7-6) = 9/1 = 9

The holes, vertical asymptote, x and y intercepts, end behavior, and limit have been analyzed for the function \(F(x) = (4x^2 - 25)/(x + 1).\) The x-intercepts are -5/2 and 5/2, and the y-intercept is (0, -25).

What is end behavior?

End behavior refers to the behavior of the graph of a function as x approaches positive or negative infinity. In other words, it describes how the graph "ends" as you move farther and farther away from the origin on either side of the x-axis.

Let's analyze the function \(F(x) = (4x^2 - 25)/(x + 1):\)

Holes:

There are no holes in the function because (x + 1) is not a factor of the numerator.

Vertical Asymptote (VA):

A vertical asymptote occurs when the denominator of the function is equal to zero, but the numerator is not. In this case, the vertical asymptote is x = -1.

X-Intercept:

To find the x-intercept, we set y (or F(x)) to zero and solve for x:

\(0 = (4x^2 - 25)/(x + 1)\)

This equation is satisfied when the numerator is zero, since division by zero is undefined. Therefore:

\(4x^2 - 25 = 0\)

Solving for x, we get:

x = ±5/2

Therefore, the x-intercepts are -5/2 and 5/2.

Y-Intercept:

To find the y-intercept, we set x to zero and evaluate F(0):

\(F(0) = (4(0)^2 - 25)/(0 + 1) = -25\)

Therefore, the y-intercept is (0, -25).

End Behavior Analysis (EBA):

To determine the end behavior of the function, we look at the highest power of x in the numerator and denominator. In this case, the highest power of x in the numerator is \(x^2\) and the highest power of x in the denominator is x. Therefore, as x approaches infinity or negative infinity, the function will behave like:

F(x) ≈ \((4x^2/x) = 4x\)

This means that the end behavior is a slant asymptote with a slope of 4.

Limits:

We can evaluate the limit of the function at x = -1 (the vertical asymptote) using the following formula:

lim x→-a f(x) = lim x→-a (g(x)/h(x))

where a is the value of the vertical asymptote, g(x) is the numerator, and h(x) is the denominator. In this case:

lim x→-1 (4x^2 - 25)/(x + 1) = ∞

This limit is equal to positive infinity because the function approaches infinity as x approaches -1 from the left and right sides.

Therefore, the holes, vertical asymptote, x and y intercepts, end behavior, and limit have been analyzed for the function F(x) = (4x^2 - 25)/(x + 1).

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Answer:

y = 1/2 x + 6

Step-by-step explanation:

m = (7 - 6 )/ 2-0

m = 1/2

y-8=1/2(x-4)

y=1/2x-4/2 +8

y=1/2+6

Answer:

1

log 10

Step-by-step explanation:

In e = 1

In e = log 10

Hope it helps you in your learning process.

Answer:

Step-by-step explanation:

The simplest form of

480:384 is 5:4 the greatest common factor is 96 so divide the 2 numbers and you will get 4:5

.

Have a great day

Mark brainliest !!!

Answer:

No, but y = 8x is. There has to be an x after your number for it to be called a linear equation.

Because the two angles are complementary, the value of x must be 11.5

In the image we can see that the two given angles are complementary, which means that their measures add up to 90°, then we can write:

(7x - 5)° + (x + 3)° = 90°

Now we can solve that linear equation to find the value of x, we iwll get:

7x + x - 5 + 3 = 90

8x - 2 = 90

8x = 92

x = 92/8

x = 11.5

That is the value of x.

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Answer:

\((a + b - 3) + (b + 2a - 1) + (4 - 6b + 2a)\)

=

\(a + 2a + 2a + b + b - 6b - 3 - 1 + 4\)

\(5a - 4b - 4 + 4\)

\( = 5a - 4b + 0\)

\( = 5a - 4b\)

have nice day

hope it will help you

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give me thanks

Answer:

-7

Step-by-step explanation:

28=-4v

28/-4=4v/4v

v=-7

Step-by-step explanation:

There is 6 possibilities, 1 in 6 is cancelled, leaving 5/6.

The interest rate your friend is charging you for the $20,000 loan is 20% per year.

The simple interest is expressed as;

A = P( 1 + rt )

Where A is accrued amount, P is principal, r is the interest rate and t is time.

Given that;

The Principal P = $20,000

Accrued amount A = $40,000

Elapsed time t = 5 years

Interest rate r =?

Plug these values into the above formula and solve for the interest rate r:

\(A = P( 1 + rt )\\\\r = \frac{1}{t}( \frac{A}{P} -1 ) \\\\r = \frac{1}{5}( \frac{40000}{20000} -1 ) \\\\r = \frac{1}{5}( 2 -1 ) \\\\r = \frac{1}{5}\\\\r = 0.2 \\\\\)

Converting r decimal to R a percentage

Rate R = 0.2 × 100%

Rate r = 20% per year

Therefore, the interest rate is 20% per year.

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Answer:

∠CAB

Step-by-step explanation:

Exterior angles include two corner points and one point not on the triangle. Thus, ∠CAD would be an exterior angle.

Answer:

Step-by-step explanation:

A triangle has 3 interior angles. In this case, they are

<ABF

<BFA

<FAB

An exterior angle is the supplement of one of the angles. In this case, there is only 1 angle that qualifies -- <CAB which is the supplement of BAF.

All the other choices are not supplements to any of the interior angles such as

<BAD

<AFE

<CAD

Answer:

15

Step-by-step explanation:

if 17-x=2

then subtract 17-2

you get 15

Answer:

?=15

Step-by-step explanation: so if we have 17-?=2 we would first do 17-2, which equals 15, then plug it back into the equation to check.

So 17-15=2

Hope that helps :)

5. The expected value for traffic fatalities in one year is 3.96 ; 6. The probability of two traffic fatalities in one week is 0.002%.

5. To find the expected value for traffic fatalities in one year, we need to multiply the arrival rate λ by the number of months in a year, which is 12. So, the expected value for traffic fatalities in one year is λ * 12 = 0.33 * 12 = 3.96.

6. To find the probability of two traffic fatalities in one week, we need to use the Poisson probability formula:

P(X = k) = (e^(-λ) * λ^k) / k!,

where X is the random variable representing the number of traffic fatalities, λ is the arrival rate, and k is the number of fatalities we're interested in.

In this case, we want to find P(X = 2) for one week, so we need to adjust the arrival rate to fit the time frame. Since there are 52 weeks in a year, the arrival rate for one week would be λ/52 = 0.33/52 = 0.006346.

Now we can plug in the values and calculate:
P(X = 2) = (e^(-0.006346) * (0.006346)^2) / 2!
          = 0.00002047

So the probability of two traffic fatalities in one week is approximately 0.002%.

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To find the mean salary of 20 workers, 12 men and 8 women, you need to follow these steps:

Assuming you have the salaries of all 20 workers, the steps above will give you the mean salary. If you only have the salaries of the men and women separately, you can find the mean salary for each group and then take a weighted average based on the proportion of men and women in the sample. For example:

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The mean salary of all 20 workers is $46,000.

To find the mean salary of 20 workers, 12 men and 8 women, you need to sum up the total salaries of all the workers and divide by the total number of workers (20).

Assuming you have the salaries of all 20 workers, you can add up the salaries of all the workers and divide by 20 to get the mean salary.

If you don't have the salaries of each worker but have the average salary of men and women separately, you can use the weighted average formula to find the overall mean salary.

If the average salary of men is $50,000 and the average salary of women is $40,000, you can calculate the overall mean salary as follows:

(mean salary of men * number of men + mean salary of women * number of women) / total number of workers

= (50,000 * 12 + 40,000 * 8) / 20

= 46,000

Therefore, the mean salary of all 20 workers is $46,000.

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Your complete question is:

How to find the mean salary of 20 workers 12 men 8 women, If the average salary of men is $50,000 and the average salary of women is $40,000?

a) The statement in part (a) is correct. When in the explicit form of a differential equation, the lowest derivative is isolated on one side of the equation.

b) To solve the initial value problem. Thus, z′−3x2z=3 and by multiplying both sides of the equation by

\(e^∫−3xdx=e^-3x\), we get:

e^-3xz′−3e^-3xx2z

\(=3e^-3x+C\) Know let's multiply both sides by\(x^3\) and get:

\(z′x3−3x2z=3x^3e^-3x+C\) Keeping in mind that

\(z=y3−1\), we have:

\(y3=x+12e3x+Cx3+d\)

where C and d are constants of integration.

c) Here's the solution to the first-order ODE: 

Differentiating both sides with respect to t yields:

\(d/dt[tlnt] = dt/dt, d/dt[t] + td/dt[ln(t)]\)

\(= e^t, 1/t*dr/dt + r/t\)

= e^t. \(= e^t.\)

\(dtd​(mv)=0\) and the drag on the sandwich exactly equals its weight.

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Answer:

d = 32.5 ft

Step-by-step explanation:

The closest to the total length of the six cars is 32.5 ft.

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

Given that, a roller costar making a right triangle's hypotenuse with the height and the base,

We need to find the length of the all the six cars, we will find it, by considering the whole scenario as a right-angled triangle and the roller costar be the hypotenuse,

Here using the concept of Trigonometric Ratios

Sin 38° = 20 / the length of the cars

The length of the cars = 20 / Sin 38°

= 32.5

Hence, the closest to the total length of the six cars is 32.5 ft.

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Answer:

\(\left(-\dfrac{72}{35},-\dfrac{88}{35}\right)\)

Step-by-step explanation:

\(\textsf{Equation 1}: \quad \dfrac{1}{8}x-\dfrac{1}{2}y=1\)

\(\textsf{Equation 2}: \quad \dfrac{1}{3}x+\dfrac{1}{8}y=-1\)

Multiply Equation 1 by 8:

\(\textsf{Equation 1}: \quad 8\left(\dfrac{1}{8}x-\dfrac{1}{2}y=1\right)\implies x-4y=8\)

Multiply Equation 2 by 32:

\(\textsf{Equation 2}: \quad 32\left(\dfrac{1}{3}x+\dfrac{1}{8}y=-1\right)\implies \dfrac{32}{3}x+4y=-32\)

Add the new equations together to eliminate y:

\(\begin{array}{ l r c r c r}& x & - & 4y & = & 8\\\\+ & \dfrac{32}{3}x & + & 4y & = & -32\\\\\cline{1-6}\\& \dfrac{35}{3}x & & & = & -24\end{array}\)

\(\implies \dfrac{35}{3}x=-24\)

Multiply both sides by 3:

\(\implies 35x=-72\)

Divide both sides by 35:

\(\implies x=-\dfrac{72}{35}\)

To find the y-value, substitute the found value of x into Equation 1 and solve for y:

\(\implies \dfrac{1}{8}\left(-\dfrac{72}{35}\right)-\dfrac{1}{2}y=1\)

\(\implies -\dfrac{72}{280}-1=\dfrac{1}{2}y\)

\(\implies -\dfrac{44}{35}=\dfrac{1}{2}y\)

\(\implies y=-\dfrac{88}{35}\)

Solution

\(\left(-\dfrac{72}{35},-\dfrac{88}{35}\right)\)

Answer:

8

-2

Step-by-step explanation:

Notice that figure 1 fits right over figure 2. There is no dilation (change of size) and no rotation. This is just a translation, moving from one place to another.

All you need to do is look at one point on the original figure (figure 1) and the corresponding point in the translated figure (figure 2).

For example, look at the lower right vertex of the original figure.

That point has coordinates (-3, 3).

Now go right and down until you reach the corresponding point in figure 2. That corresponding point is (5, 1).

To go from (-3, 3) to (5, 1), we move 8 units right along the x-axis and 2 units down along the y-axis.

The change in x is +8.

The change in y is -2.

Answer: (x + 8, y + -2)

The figure above shows two circles, one inside the other. The equation x^2 + y^2 = 2 represents the smaller circle, while the larger circle is not explicitly defined in the question.

However, we can see from the graph that the center of both circles is at the origin (0,0) and that the larger circle has a radius twice as big as the smaller circle.

Therefore, the radius of the larger circle is 2 times the radius of the smaller circle, which is the square root of 2. So the answer is (a) √2.
The given equation of the circle is x^2 + y^2 = 2. To find the radius of this circle, we can rewrite the equation in the standard form of a circle: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.

In this case, the equation is already in the standard form with h = 0, k = 0, and r^2 = 2. Therefore, the radius of the larger circle is r = √2. So, the correct answer is a) √2.

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Answer:

Trip 1: 15

Trip 2: 14

Step-by-step explanation:

Divide to find the number of cars the ferry can take per trip.

29 / 2 = 14.5

Heres the issue right, we can't cut a car in half to make the trips even. The ferry will need to either carry one extra car for one trip or leave one behind both trips but the question states, "in two groups".

Best of Luck!

Answer:

y =   –3 x +   (–0.25)

Step-by-step explanation:

Well, the edge thing said it was right.

Answer:

y =   –3 x +   (–0.25)

Step-by-step explanation:

just finished the thing on edge 2021

The area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.

We have to find the area of the region enclosed by one loop of the curve.

The given curve is:

r = sin(10θ)

Consider the region r = sin(10θ)

The area of region bounded by the curve r = f(θ) in the sector a ≤ θ ≤ b is

A = \(\int^{b}_{a}\frac{1}{2}r^2d\theta\)

Now to find the area of the region enclosed by one loop of the curve, we have to find the limit by setting r=0.

sin(10θ) = 0

sin(10θ) = sin0   or    sin(10θ) = sinπ

So θ = 0             or      θ = π/10

Hence, the limit of θ is 0 ≤ θ ≤ π/10.

Now the area of the required region is

A = \(\int^{\pi/10}_{0}\frac{1}{2}(\sin10\theta)^2d\theta\)

A = \(\frac{1}{2}\int^{\pi/10}_{0}\sin^{2}10\theta d\theta\)

A = \(\frac{1}{2}\int^{\pi/10}_{0}\frac{(1-\cos20\theta)}{2}d\theta\)

A = \(\frac{1}{4}\int^{\pi/10}_{0}(1-\cos20\theta)d\theta\)

A = \(\frac{1}{4}\left[(\theta-\frac{1}{20}\sin20\theta)\right]^{\pi/10}_{0}\)

A = \(\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin20\frac{\pi}{10})-(0-\frac{1}{20}\sin20\cdot0)\right]\)

A = \(\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin2\pi)-(0-\sin0)\right]\)

A = 1/4[(π/10-0)-(0-0)]

A = 1/4(π/10)

A = π/40

Hence, the area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.

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Answer:

Its the fourth one 1693000

Step-by-step explanation:

Answer:

-37x + 33

Step-by-step explanation: