Austin deposited $3000 into an account with a 4.6% annual interest rate, compounded quarterly. Assuming that no withdrawals are made, how long will it take
for the investment to grow to $4179?
Do not round any intermediate computations, and round your answer to the nearest hundredth.

Answer:

Although doctor-centric dramas can be entertaining, they're usually filled with a number of inaccurate portrayals of the medical field.

To see where which popular shows get the details right and which ones are loaded with problems, Insider consulted with real doctors and nurses.

Here's how the experts really feel about popular medical shows.

Note: The Entertainment Value and Medical Accuracy scores on each slide are the averages of the scores (out of 10) that the experts provided for each show.

Step-by-step explanation:

please mark me as brainlest answer hope this helps

If two figures can be mapped onto one another or if all pairings of angles and side lengths are congruent, the figures are said to be congruent.

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

If two triangles are the same size and shape, they are said to be congruent. To establish that two triangles are congruent, not all six matching elements of either triangle must be located. There are five requirements for two triangles to be congruent, according to studies and trials. The congruence properties are SSS, SAS, ASA, AAS, and RHS.

here, we have,

Both triangles are said to be congruent if the three angles and three sides of one triangle match the corresponding angles and sides of the other triangle.

In Δ PQR and ΔXYZ, as shown in figure,

we can identify that PQ = XY, PR = XZ,

and QR = YZ

and ∠P = ∠X,

∠Q = ∠Y and ∠R = ∠Z.

Then we can say that Δ PQR ≅ ΔXYZ.

Learn more about Triangle congruency click here:

brainly.com/question/30256538

#SPJ1

The rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

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

John drove from here to San Antonio which is 180 miles away in 3 hours.

This means that

Distance = 180 miles

Time = 3 hours

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

Speed = Distance/Time

Substitute the known values in the above equation, so, we have the following representation

Speed = 180/3

Evaluate

Speed = 60

Hence. the rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

Read more about speed at

https://brainly.com/question/24571540

#SPJ1

The ordered pair that represents the point plotted and labeled A include the following: (−1, 2).

In Mathematics and Geometry, the translation of a graph to the left simply means a digit would be subtracted from the numerical value on the x-coordinate of the pre-image:

g(x) = f(x - N)

Conversely, the translation of a graph upward means a digit would be added to the numerical value on the y-coordinate (y-axis) of the pre-image.

g(x) = f(x) + N

Note: "Point A is one unit left and two units up from the origin. "

Since point A is one unit left and two units up from the origin (0, 0), we can logically deduce the following:

(x, y)                   →           (x - 1, y + 2)

Origin (0, 0)        →           (0 - 1, 0 + 2) = point A (-1, 2).

Read more on function and translation here: brainly.com/question/31559256

#SPJ1

Answer:

A: -2 + 3i

B: -1 + -1i

C: 3 + -4i

D: 4 + 1i

Step-by-step explanation:

These are the answers, Basically just normal graphing. run/rise.

I hope this helps! :)))))

The construction will determine a midpoint is perpendicular bisector.

A bisector is a line that passes through a point of intersection and bisects another line segment at right angles. Therefore, we say that the perpendicular bisector always bisects the line segment at its midpoint. The term bisecting itself means dividing evenly or evenly.

Properties of the perpendicular bisector:

Learn more about Perpendicular bisectors at

https://brainly.com/question/29132624

#SPJ1

Answer

brainliest?

Step-by-step explanation:

There are three solutions:

x

0

=

2

x

1

=

3

+

2

i

x

2

=

3

−

2

i

Answer:

x=1,\(-\frac{1-i\sqrt{3} }{2}, -\frac{1+i\sqrt{3} }{2}\)

Step-by-step explanation:

Hope this helps.

Answer:

I think it is B. 30 degrees

Step-by-step explanation:

Because if ZUY is 90 degrees and half of 90 degrees is 45 degrees but TUZ is a little bit less than the middle part of ZUY it has to be less than 45 degrees by a little bit and the only option would be 30 degrees. Hope this helped (:

Answer:

there is no possible slope for this equation. if it asks for a number it is 0

Step-by-step explanation:

Answer: x = 138

Step-by-step explanation:

\(108+117+x=3 * 121\\3 * 121 = 363\\Rearrange unknown terms to the left side of the equation\\x=(363-108)-117\\\\255-117=138\\x=138\)

The difference between their yearly incomes is $31,304.

To calculate each person's yearly income, we need to multiply their weekly income by the number of weeks in a year. Assuming there are 52 weeks in a year, the yearly income can be calculated as follows:

For the student who drops out of high school:

Yearly Income = Weekly Income x Number of Weeks

= 451 x 52

= 23,452

For someone with a bachelor's degree:

Yearly Income = Weekly Income x Number of Weeks

= 1053 x 52

= 54,756

The difference between their yearly incomes can be found by subtracting the student's yearly income from the bachelor's degree holder's yearly income:

Difference = Bachelor's Yearly Income - Student's Yearly Income

= 54,756 - 23,452

= 31,304

Therefore, the difference between their yearly incomes is $31,304.

It is important to note that these calculations are based on the given information and assumptions. The actual yearly incomes may vary depending on factors such as work hours, additional income sources, deductions, and other financial considerations.

Additionally, it is worth considering that educational attainment is just one factor that can influence income, and there are other variables such as experience, job type, and market conditions that may also impact individuals' earnings.

For more such answers on incomes

https://brainly.com/question/28414951

#SPJ8

Answer:

27

Step-by-step explanation:

Using Bedmas we have to calculate the x^2 first

Since we know x=3, x^2 = 3^2 = 9

So then, the value would be 3 x 9 = 27

Hope You Found This Helpful :)

Answer:

subtract

Step-by-step explanation:

The expression for the product of s and t, plus r will be (s × t) + r which is st + r.

This can be illustrated as an expression. Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.

Therefore, the expression for the product of s and t, plus r will be:

= (s × t) + r.

= st + r.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

We're given:

If the shop sold " \(9\dfrac{9}{10}\)  times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.

Multiply \(9\dfrac{9}{10}\) by 9 ounces:

\(9\dfrac{9}{10}\times9\)

Convert the fraction into an improper fraction:

\(=\dfrac{99}{10}\times9\)

Multiply:

\(=\dfrac{891}{10}\)

The shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.

The probability that that arrow will land on the part labelled C after the first spin would be = 1/5.

To calculate the probability of the chosen event, the formula for probability should be used which is given as follows:

Probability = possible outcome/ sample space

Where possible outcome = 2

sample space = A,B,B,B,C,C,D,D,D,E = 10

Therefore the probability that the arrow will land on the part labelled C after the first spin = 2/10 = 1/5.

Learn more about probability here:

https://brainly.com/question/30657432

#SPJ1

Therefore, the equation of the line passing through the point (1,5) with a slope of 7 is y = 7x - 2.

The equation of a line in the point-slope form is given by the following equation:

y-y_1 = m(x-x_1)

where m is the slope of the line and (x1, y1) is any point on the line.

Therefore, we can write the equation of the line passing through the point (1,5) with a slope of 7 as follows:

y-5 = 7(x-1)

Expanding the right-hand side of the equation gives:

y-5 = 7x-7

Adding 5 to both sides of the equation gives:

y = 7x-2

For such more question on equation

https://brainly.com/question/29174899

#SPJ8

Option D is the correct answer, Universal Instantiation is The implicational rule of inference that permits us to derive a specific instance from a universal statement.

It is the process of deriving an individual statement from a general one by replacing the variable with a name or another referring expression called Instantiation.

Universal Instantiation is also called universal specification or universal elimination, it is a valid rule of inference from the truth about each member of a class of individuals to the truth about a particular individual of that class.

Example: "No humans can fly. John Doe is human. Therefore John Doe can not fly."

∀xA⇒A(x↔a}

for every formula A and every term a, where A(x↔a}  is the result of substituting a for each free occurrence of x in A. A(x↔a} is an instance of

∀xA.

To know more about Universal Instantiation:

https://brainly.com/question/14992064

#SPJ4

Answer: The Silo is 44 meters tall

Step-by-step explanation:

To find the height of the silo, first you have to divide the drawing height (33cm) by 1.5 to get the unit rate. Then multiply the 22 by 2 to get 44 meters (The height of the silo)

Answer:

6

Step-by-step explanation:

h=3(12/6)

Answer:

-15

Step-by-step explanation:

-16 -|-6| +7

-16 - 6 + 7

= - 15

Absolute value is just taking the positive value of a number.

Step-by-step explanation:

-16-(-2-4)+7=

-16-(-6)+7=

-16+6+7=

-16+13=

-3

The calculated measure of m∠PNM is 87 degrees

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

The circle

Where, we have

PM = 360 - 64 - 122

Evaluate

PM = 174

Next, we have

m∠PNM = 1/2 * 174

So, we have

m∠PNM = 87

Hence, the measure of m∠PNM is 87 degrees

Read more about angles at

https://brainly.com/question/31898235

#SPJ1

Answer:

4 1/2

Step-by-step explanation:

3/4 divided by 1/6 turns into 3/4 divided by 6/1, but then you multiply instead so its 3/4 x 6/1 = 4/12

Answer:

4.5

Step-by-step explanation:

Welcome brisint plzzz

If 4/10 of Lake Okeechobee is covered in a harmful algal bloom in the first month, then 6/10 of the lake is not covered in the bloom.

In the second month, if 90% of the lake is covered in the bloom, then 10% of the lake is not covered in the bloom.

Since the amount of the lake that is covered by the bloom increased from 4/10 to 9/10, this is an increase of:

(9/10) / (4/10) = (9/10) x (10/4) = 2.25 times

Therefore, the algal bloom increased by 2.25 times.

Step-by-step explanation:

step one:

given that the sample space is

red, yellow, green, white, and black. i.e (1+1+1+1+1)= 5

the sample size is 5

the probability of picking a colored card at random is

Pr(a colored card)= 1/5

step two:

without replacement, after the first event, the sample size is now 4

then the probability of picking a colored card at random is

Pr(a colored card)= 1/4

Answer: Associative property

Step-by-step explanation:

From the question, we are informed that Jada is evaluating 8 × 3 × 4 and that she doesn't know the product of 24 and 4 off the top of her head, so she decides to multiply 3 by 4 first.

The property that Jada is using is the Associative property. This has to do with regrouping of the numbers and then multiplying the numbers in different groups.

The length of the zip wire, with a 10-degree angle to the horizontal and a distance of 25 meters between the posts, is approximately 25.35 meters.

To calculate the length of the zip wire, we can use trigonometry. Let's consider the triangle formed by the zip wire, where the horizontal distance between the two posts is 25 meters and the angle between the zip wire and the horizontal is 10 degrees.

Using trigonometric functions, we can determine the length of the zip wire. In this case, we'll use the sine function because we have the opposite side (the vertical distance) and we want to find the hypotenuse (the length of the zip wire).

The formula for sine is:

sin(angle) = opposite / hypotenuse

Rearranging the formula, we have:

hypotenuse = opposite / sin(angle)

In this case, the opposite side is the vertical distance, which is h.

So, the formula becomes:

hypotenuse = h / sin(angle)

To find h, we can use the formula for the length of the zip wire:

h = 25 * tan(angle)

Substituting this into the previous formula, we get:

hypotenuse = (25 * tan(angle)) / sin(angle)

Calculating the value, we have:

hypotenuse = (25 * tan(10°)) / sin(10°)

Using a calculator, we find:

tan(10°) ≈ 0.1763

sin(10°) ≈ 0.1736

Substituting these values, we can calculate the length of the zip wire:

hypotenuse ≈ (25 * 0.1763) / 0.1736 ≈ 25.35 meters

Therefore, the length of the zip wire is approximately 25.35 meters.

For more question on length visit:

https://brainly.com/question/28322552

#SPJ8

We're given:

Determine f(-5):

\(f(a) = 3a - a^2\\f(-5) = 3(-5) - (-5)^2\\f(-5) = -15 - 25\\f(-5) = -40\)

Therefore, this statement is true.

Determine f(4):

\(f(a) = 3a - a^2\\f(4) = 3(4) - (4)^2\\f(4) = 12 - 16\\f(4) = -4\)

Therefore, this statement is true as well.

Determine f(-1):

\(f(a) = 3a - a^2\\f(-1) = 3(-1) - (-1)^2\\f(-1) = -3 - 1\\f(-1) = -4\)

Therefore, this statement is not true.

Determine f(0):

\(f(a) = 3a - a^2\\f(0) = 3(0) - (0)^2\\f(0) = 0 - 0\\f(0)=0\)

Therefore, this statement is also not true.

f(-5) = -40

f(4) = -4

Answer:

110

Step-by-step explanation:

took the same test 1 week ago

Answer:

110 words

Step-by-step explanation:

What we know:

- Snigdha can type 550 words in 30 minutes

1) Find how many words they can type in 1 minute

To do this, divide 550 words by 30 minutes:

550÷30=18.3333... words

Therefore, Snigdha can type approximately 18 words in one minute.

2) Multiply 18 words by 6 minutes

18.3333...×6=110

Therefore, Snigdha can type 110 words in 6 minutes.

I hope this helps!

The statement that is equivalent to |6x-3|=3 is: 6x-3=3 or 6x-3=-3

For the equation to be true, two scenarios need to be considered:

When the expression 6x-3 is positive and equals 3:

6x-3 = 3

When the expression 6x-3 is negative and equals -3:

6x-3 = -3

By solving these two equations, we can find the equivalent statement:

Solving 6x-3 = 3:

Adding 3 to both sides gives us:

6x = 6

Dividing both sides by 6:

x = 1

Solving 6x-3 = -3:

Adding 3 to both sides gives us:

6x = 0

Dividing both sides by 6:

x = 0

Therefore, the equivalent statement to |6x-3|=3 is:

6x-3=3 or 6x-3=-3, which can be further simplified to:

6x-3=3 or 6x-3=-3

Learn more about inequalities here:

https://brainly.com/question/30231190

#SPJ1

The minimum length of the slanted poles needed to support the fly is 20 feet.

What is a Pythagoras theorem?

Pythagoras' theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse.

To find the minimum length of the slanted poles, we can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the slanted pole) is equal to the sum of the squares of the other two sides (the heights of the tent and fly).

We are given that the height of the tent is 12 feet and the height of the fly is 16 feet. The Pythagorean theorem can be written as follows:

c² = a² + b²

where c is the length of the slanted pole, a is the height of the tent, and b is the height of the fly.

Substituting in the given values, we get:

c² = 12² + 16²

= 144 + 256

= 400

Taking the square root of both sides gives:

c = √400

= 20

Therefore, the minimum length of the slanted poles needed to support the fly is 20 feet.

To learn more about Pythagoras' theorem, visit:

https://brainly.com/question/343682
#SPJ1