Ronisha invests $5000 in an account that earns 2.3% annual simple interest. After 3 years, Ronisha invests the interest earned in a second account. This account earns 3.2% annual interest. Ronisha leaves the money in this account until she has earned $55.20 in interest. Ronisha does not deposit or withdraw any money from the accounts. How long does Ronisha invest money into the second account?

The critical numbers of g(θ) on the interval 0 ≤ θ < 2π are:  θ = π/3, 2π/3, 4π/3, 5π/3, 7π/3, 8π/3, 10π/3, and 11π/3.

To find the critical numbers of g(θ) = 4θ - tan(θ) on the interval 0 ≤ θ < 2π, we need to find the values of θ where the derivative of g(θ) is equal to 0 or undefined.

First, we find the derivative of g(θ) using the chain rule and quotient rule:

g'(θ) = 4 - sec²(θ)

To find where g'(θ) is equal to 0, we set the derivative equal to 0 and solve for θ:

4 - sec²(θ) = 0

sec²(θ) = 4

Taking the square root of both sides, we get:

sec(θ) = ±2

Since sec(θ) = 1/cos(θ), we can rewrite this as:

cos(θ) = ±1/2

We know that on the interval 0 ≤ θ < 2π, the cosine function is positive in the first and fourth quadrants and negative in the second and third quadrants.

Therefore, we need to find the values of θ in the first and fourth quadrants where cos(θ) = 1/2, and the values of θ in the second and third quadrants where cos(θ) = -1/2.

For cos(θ) = 1/2, we have:

θ = π/3 or 5π/3 in the first quadrant
θ = 7π/3 or 11π/3 in the fourth quadrant

For cos(θ) = -1/2, we have:

θ = 2π/3 or 4π/3 in the second quadrant
θ = 8π/3 or 10π/3 in the third quadrant

Therefore, the critical numbers of g(θ) on the interval 0 ≤ θ < 2π are:

θ = π/3, 2π/3, 4π/3, 5π/3, 7π/3, 8π/3, 10π/3, and 11π/3.

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The statistical measure that should be carefully reviewed for screening levels or test values is the sensitivity and specificity.

Sensitivity and specificity are crucial statistical measures in evaluating the effectiveness of screening tests or levels. Sensitivity represents the ability of a screening test to correctly identify individuals with the condition or characteristic being screened. while specificity indicates the test's ability to correctly identify individuals without the condition.

By reviewing these measures, we can assess the accuracy and reliability of the screening process, ensuring that the chosen test or level is sensitive enough to detect true positives and specific enough to avoid false positives.

This analysis helps in making informed decisions regarding the implementation of projects, ensuring that the screening process is effective and reliable.

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Answer:

B

Step-by-step explanation:

Answer  4

If he bought 4 large coffees that means he spent $12 on them. that leaves $18. Which means he can buy 9 regular sized coffees. All together thats 13 coffees.

Step-by-step explanation:

Step-by-step explanation:

A. Each point in the image has the same x-coordinate as the corresponding point

in the figure.

D. Each point in the image moves the same distance and direction from the

figure.

These two statements are true about a figure and an image created by a translation. When a figure is translated, every point in the figure is moved the same distance and direction. This means that each point in the image has moved the same way as its corresponding point in the figure. Additionally, since a translation only involves moving a figure without changing its shape or size, the image and figure are the same shape and size, but just in different positions. As such, statement B and C are not true for figures and images created by translation.

To graph the image G'R'A'M', we need to add 10 to each x-coordinate and subtract 2 from each y-coordinate:

G': (-9+10, -9-2) = (1,-11)

R': (-8+10, -6-2) = (2,-8)

A': (-4+10, -6-2) = (6,-8)

M': (-5+10, -9-2) = (5,-11)

Graphing these points and connecting them gives us parallelogram G'R'A'M'.

Check the picture below.

so hmmm assuming that the triangle is indeed a right-triangle, then its hypotenuse of CA² = AB² + BC².

well, let's first find the distances of AB, BC and CA

\(~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{5})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{3}) ~\hfill AB=\sqrt{(~~ 2- 7~~)^2 + (~~ 3- 5~~)^2} \\\\\\ ~\hfill AB=\sqrt{( -5)^2 + ( -2)^2} \implies AB=\sqrt{ 29 }\)

\(B(\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad C(\stackrel{x_2}{6}~,~\stackrel{y_2}{-7}) ~\hfill BC=\sqrt{(~~ 6- 2~~)^2 + (~~ -7- 3~~)^2} \\\\\\ ~\hfill BC=\sqrt{( 4)^2 + ( -10)^2} \implies BC=\sqrt{ 116 } \\\\\\ C(\stackrel{x_1}{6}~,~\stackrel{y_1}{-7})\qquad A(\stackrel{x_2}{7}~,~\stackrel{y_2}{5}) ~\hfill CA=\sqrt{(~~ 7- 6~~)^2 + (~~ 5- (-7)~~)^2} \\\\\\ ~\hfill CA=\sqrt{( 1)^2 + (12)^2} \implies CA=\sqrt{ 145 }\)

well then, now let's use the pythagorean theorem to see if that's true

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2 \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{\sqrt{145}}\\ a=\stackrel{adjacent}{\sqrt{29}}\\ o=\stackrel{opposite}{\sqrt{116}} \end{cases} \\\\\\ (\sqrt{145})^2= (\sqrt{29})^2 + (\sqrt{116})^2\implies 145=29+116\implies 145=145 ~~ \textit{\LARGE \checkmark}\)

well, since we know is a right-triangle, then we can use AB as the base and BC as its altitude.

\(\stackrel{ \textit{\LARGE Area of the triangle} }{\cfrac{1}{2}(AB)(BC)\implies \cfrac{1}{2}(\sqrt{29})(\sqrt{116})\implies \cfrac{1}{2}(\sqrt{29})(2\sqrt{29})\implies \sqrt{29^2}\implies \text{\LARGE 29}}\)

The points are the vertices of a right triangle

The area of the triangle is 29 square units

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

A(7,5), B(2,3) and C(6,-7)

The distance between the points is calculated as

d = √Change in x² + change in y²

Using the above as a guide, we have the following:

AB = √[(7 - 2)² + (5 - 3)²] = √29

BC = √[(6 - 2)² + (-7 - 3)²] = √116

AC = √[(6 -7)² + (5 + 7)²] = √145

Next, we test using the Pythagoras theorem

AC² = AB² + BC²

So, we have

145 = 116 + 29

Evaluate

145 = 145 --- this is true

For the area, we have

Area = 1/2 * AB * BC

So, we have

Area = 1/2 * √116 * √29

Evaluate

Area = 29

Hence, the area of the triangle is 29 square units

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Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

\(36-\frac{a}{4}\)

Given: A team of 3 employees is preparing 20 reports. Mary takes 30 minutes to complete a report. Matt takes 45 minutes to complete a report.

All reports are completed in 4 1/2 hours. To Find: How long does it take the third team member to complete a report?Solution: Let the third employee takes x minutes to complete a report work done by Mary in 1 minute = 1/30Work done by Matt in 1 minute = 1/45Work done by the third employee in 1 minute = 1/x Total work done by all three in 1 minute = 1/30 + 1/45 + 1/x (As all are working together) a Total number of reports to be prepared = 20Therefore, total work = 20Now,

we know that all reports are completed in 4 1/2 hours = 9/2 hours∴ Total time = 9/2 x 60 = 270 minutes according to the problem statement, Total work = Total time x Total work done by all three in 1 minute20 = 270 (1/30 + 1/45 + 1/x)Solving the above equation for x, we get :x = 90 minutes therefore, it takes the third team member 90 minutes to complete a report.

Answer: 90 minutes.

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Let's represent the third team member as t. Mary takes 30 minutes to complete a report, while Matt takes 45 minutes to complete a report.

Thus, it takes the third team member 3 hours to complete a report.

Therefore, we can use the information given to form an equation. We are given that the team is preparing 20 reports, so:

30 minutes/report × M reports + 45 minutes/report × N reports + T minutes/report × O reports = 4.5 hours

To make the equation simpler, let the unit conversion 4.5 hours to minutes:

4.5 hours × 60 minutes/hour = 270 minutes

Thus:

30M + 45N + TO = 270

O= 20 - M - N

From the third team member: TO = T × 20

Therefore:

30M + 45N + T × 20 = 270

Solving for T:

30M + 45N + 20T = 270

T = (270 - 30M - 45N)/20

We know that there are only three members in the team, and that M and N have already been defined, so we can substitute these values:

T = (270 - 30(20) - 45(0))/20

T = 3

Thus, the time taken by the third team member is 3 hours to complete a report.

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The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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Answer:

You actually have it right 9.

Step-by-step explanation:

I got a 100% on the quiz!

Mark me BRAINLIEST!!!

Answer:

Domain: {x|-5, -3, -2, -1, 1, 3}

Range: {y|-5, 0, 1, 2, 3}

Step-by-step explanation:

The domain is all x values:

Domain: {x|-5, -3, -2, -1, 1, 3}

The range is all y values:

Range: {y|-5, 0, 1, 2, 3}

Answer:

P=a+b+c

=42+17+62

=121

P=42+b+c

P=42+17+c & same as p=59+c

P=42+17+62 & same as p=121

Answer:

6.40312423 hope that helps

Answer:

\(\sqrt{53}\)

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (- 5, 8) and (x₂, y₂ ) = (- 3, 1)

d = \(\sqrt{(-3+5)^2+(1-8)^2}\)

   = \(\sqrt{2^2+(-7)^2}\)

   = \(\sqrt{4+49}\)

    = \(\sqrt{53}\)

Answer:

that isnt the full question like what is the area of the pan and stuff

Step-by-step explanation:

Answer:

A radical expression in algebra is an expression that has a radical, or root. These are inverse operations to exponents.

Step-by-step explanation: That is

Answer:

$283

Step-by-step explanation:

Let,

   x - for $2 notes

   x + 16 - for $5 notes

EQUATION:

  (x) + (x + 16) = 74

  2x = 74 - 16

  2x = 58

  x = 29

SUBSTITUTE

  x = 29 pieces of $2 notes

  x + 16 = 29 + 16 = 45 pieces of $5 notes

TOTAL VALUE IS:

   (29 x $2) + (45 x $5) = $283

The probability that the diameter of a selected bearing is greater than 46 millimeters is 0.8413.

To solve this problem, we need to use the standard normal distribution and standardize the diameter values to find the corresponding z-score. The formula for standardizing a value is:

z = (x - μ) / σ

Where:

x = the value we want to standardize (in this case, 46 millimeters)

μ = the mean diameter of the ball bearings (51 millimeters)

σ = the standard deviation (which is the square root of the variance, so σ = sqrt(25) = 5)

Substituting the values we have:

z = (46 - 51) / 5 = -1

Now, we need to find the probability that a selected bearing has a diameter greater than 46 millimeters, which is equivalent to finding the area to the right of z = -1 on the standard normal distribution curve. This can be done using a table or calculator.

Using a calculator or software, we can find that the area to the right of z = -1 is 0.8413 (rounded to four decimal places). Therefore, the probability that the diameter of a selected bearing is greater than 46 millimeters is 0.8413.

Answer: 0.8413 (rounded to four decimal places).

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Answer:

2 is the answer

Step-by-step explanation:

Answer:

Option 3.

Step-by-step explanation:

x is always first in mapping coordinates, and since both the starting x and y are positive, they would turn negative in a 180 degree rotation. so its option 3.

Hope this helps!!

Answer:

A

Step-by-step explanation:

Hope this helps. I don't really have an explanation for it. Happy Holidays!

Answer: 9

Step-by-step explanation: 49+9=58

If the jar of olives had a circumference of 11. 99 cm, the approximate diameter of the jar is 3.82 cm

The circumference of a circle is given by the formula C = 2πr, where C is the circumference, π is the constant pi (approximately equal to 3.14), and r is the radius. The diameter is twice the radius, so we can also write the formula as C = πd, where d is the diameter.

In this case, the circumference is 11.99 cm, so we can set up the equation

11.99 = πd

To solve for d, we can divide both sides by π

d = 11.99/π

Using a calculator, we get

d ≈ 3.82 cm

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Answer:

\( {( - 7 + 2i)}^{2} = ( - 7 + 2i)( - 7 + 2i) \\ = 49 - 14i - 14i + 4 {i}^{2} \\ = 49 - 28i - 4 \\ = 45 - 28i\)

Answer:

45-28i

Step-by-step explanation:

(-7+2i)^2

(-7+2i)(-7+2i)

49-14i-14i+4i^2 where i^2=-1

49-28i+4(-1)

49-28i-4

49-4-28i

45-28i

Please mark me as Brainliest if you are satisfied with the answer.

Answer:

Step-by-step explanation:

Since,

It's a rectangle so it will be formed on the coordinate which is 3units above dot(3,5) in picture where above the dot there is no point .

Answer:

541m

Step-by-step explanation:

The scale given 1 represents the height of the model and 10000 represents the actual height,place the 5.41 in line with the one and an unknown letter in line with the 10000 inorder to calculate the actual height

1:10000

5.41:x

cross multiply and solve for x,which will be 54100cm

but since the answer has to be in meters convert the 54100cm to a meter by dividing it by 100..

Equilibrium is the term refers to coordination, balance, and balance in three dimensional space.

The equilibrium condition of an object exists when Newton's first law is valid. An object is in equilibrium in a reference coordinate system when all external forces (including moments) acting on it are balanced. This means that the net result of all the external forces and moments acting on this object is zero.

There are three types of equilibrium: stable, unstable, and neutral.

Examples of equilibrium in everyday life:

A book kept on a table at rest. A car moving with a constant velocity. A chemical reaction where the rates of forward reaction and backward reaction are the same.

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Answer:

x= -2; y= -2

Step-by-step explanation:

The opposite sides of a parallelogram are congruent, and therefore we can make two observations:

9=-9x-9
19=-10y-1

Then we can just solve each of the equations to get x and y:

9 = -9x - 9
+ 9       +9

18=-9x

----------
-9

-2=x

19=-10y-1
+1        +1

20=-10y
------------

-10

-2=y

To determine whether the series is convergent or divergent, we can use the integral test.

First, we note that the function f(x) = ln(x^2+3/8x^2+7) is continuous, positive, and decreasing for x ≥ 1.

Then, we take the integral of f(x) from 1 to infinity:

∫_1^∞ ln(x^2+3/8x^2+7) dx

We can evaluate this integral using integration by parts:

u = ln(x^2+3/8x^2+7)    dv = dx
du/dx = (2x)/(x^2+3/8x^2+7)    v = x

∫_1^∞ ln(x^2+3/8x^2+7) dx = [xln(x^2+3/8x^2+7)]_1^∞ - ∫_1^∞ (2x)/(x^2+3/8x^2+7) dx

We know that the limit of xln(x^2+3/8x^2+7) as x approaches infinity is infinity, so the first term evaluates to infinity.

For the second term, we can use the substitution u = x^2 to get:

∫_1^∞ (2x)/(x^2+3/8x^2+7) dx = ∫_1^∞ (2du)/(u+3/8u+7)

We can then use partial fractions to write the integrand as:

(2du)/((u/8)+7/8) - (2du)/(u+7)

We can now evaluate the integral:

∫_1^∞ (2du)/(u+3/8u+7) = [2ln(u/8+7/8)]_1^∞ = 2ln(∞/8+7/8) - 2ln(1/8+7/8) = ∞

∫_1^∞ (2du)/(u+7) = 2ln(u+7)]_1^∞ = ∞ - 2ln(8) = ∞

Since both integrals diverge, the original series diverges by the integral test. Therefore, the answer is divergent.

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Answer: 12 students preferred math

Step-by-step explanation:

Take this equation

80(n)

n will equal (0.15) for the 15% surveyed who preferred math

80(0.15)

12

that's a point slope form so

y +5 = 2(x -4)

Step-by-step explanation:

breadth = 21 m

length = 63 m

w = 21 feet

l = 63 feet

l = 3w

P = 2(l + w)

168 = 2(l + w) : 2

84 = l  + w

replace l

84 = 3w + w

4w = 84

w = 84 : 4

w = 21 feet

l = 3w

l = 3×21 feet

l = 63 feet

The answer would be D. 2x - 3y = 18

y = 2/3x - 6

We gotta put this equation in standard form, i think.

First, subtract the 2/3x

-2/3x + y = -6

Next, multiply the whole equation by -3 in order to make the “x” a whole number and a positive number.

2x - 3y = 18