Laura retired from her job recently, and she has saved about $427,595.00 over the course of her career. She plans to withdraw
$1,490.00 each month to pay for living expenses. After a certain amount of time, the balance in Laura's account is $391,835.00.
How many months have passed since Laura retired?

The difference in speed of the two cars is 72-60 = 12 km per hour.

The time they would be 8 km apart would be 8/12 = 2/3 of an hour

1 hour = 60 minutes

60 minutes x 2/3 = 40 minutes.

The cars will be 8 km apart in 40 minutes.

Answer:

After 40 min they will be 8km apart

Step-by-step explanation:

Car A is traveling 1km per minute Car B is traveling 1.2km per minute, so Car B will gain 1km on Car A every 5 min. To be 8km apart, you calculate 5min x 8 = 40 min

Answer:

Oh Stop!!!! This is sooooooooooooo easy! If you would just pay attention in school and not spend all your time trying to buy the new ipad pro maybe you would not have to go to Branily to get a simple answer! Do you think your teacher would like you cheating like this???? I dont think so. So get of of Branily and start studying!!!!  

Step-by-step explanation:

If the coordinate is (3, -2) then after the 90° counter-clockwise about the origin. Then new coordinate will be (2, 3).

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Convert the cartesian coordinate to the polar coordinate. Then we have

[tex]r = \sqrt{3^2 + (-2)^2}\\\\r = \sqrt{9 + 4 }\\\\r = 3.61\\\\\theta = \tan ^{-1}\dfrac{-2}{3}\\\\\theta = -33.69^o\\\\\theta = 326.31^o[/tex]

Then 90° counter-clockwise about the origin, then the angle will be

θ = 326.31 + 90 = 431.31

But θ is from 0 to 360. Then

θ = 431.31 - 360 = 56.31

Then convert the polar coordinate to the cartesian coordinate. Then we have

x = r cosθ

x = 3.61 × cos 56.31

x = 2

and

y = r sinθ

y = 3.61 × sin 56.31

y = 3

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

#SPJ2

Answer:

-2,-3

Step-by-step explanation:

Answer:

At 5% significant level, there is sufficient evidence to suggest that last year's mean local monthly bill for cell phone users has decreased from the 2001 mean of $47.37

Step-by-step explanation:

The given data are presented as follows;

32.88, 31.09, 16.13, 104.2, 47.65, 116.96, 61.97, 43.74, 13.52, 15, 37, 30.09, 16.93, 44.67, 28.08, 64.08, 16.17, 28.04, 57.67, 14.62, 61.32, 35.64, 88.95, 50.48, 16.41, 16.56, 13.48, 27.10, 15.50, 19.95, 23.45, 46.24, 41.8, 49.35, 81.16, 28.80, 32.48, 28.95, 31.60, 35.6, 24.74, 44.82, 51.62, 42.04, 22.43, 46.54, 48.32, 24.53, 77.21, 15.12, 126.84

We note that there are 51 data points, however, the points, 15 and 37 are given without decimal place values and therefore, they are taken as one data point to make 50 data points.

The given sample size = 50

The mean mean of the given data, [tex]\overline x[/tex] ≈ 41.01

The standard deviation of the given data, s ≈ 26.59

The null hypothesis, h₀; μ = 47.37

The alternative hypothesis, hₐ; μ < 47.37

The significant level, α = 5%

Therefore, we have;

The test statistics is given as follows;

[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex]

Plugging in the values gives;

[tex]t=\dfrac{41.01-47.37}{\dfrac{26.59}{\sqrt{50}}} \approx -1.69131[/tex]

The critical-t at 5% at df = n - 1 = 51 - 9 = 49 degrees of freedom and significance level, α of 5% (0.05) from a calculator = -1.676551

Given that the test statistic is larger than the critical-t, we therefore reject the null hypothesis. There is enough statistical evidence to suggest that last years mean monthly bill for cell phone users has decreased from 2001 mean to $47.37.

Answer:

9.5; 72˚

Step-by-step explanation:

Answer:

there is no question? may u add one plz so i can help?

Step-by-step explanation:

Answer:

huuhhh i dont get it and whers the question¿¿¿

Answer:

[tex]g(3) = 13[/tex]

Step-by-step explanation:

Given

[tex]g(0) = 1[/tex]

[tex]g(1) = 5[/tex]

Required

Find g(3)

Since g(x) is a linear function, then:

[tex]g(x) = mx + c[/tex]

For: [tex]g(0) = 1[/tex]

[tex]g(x) = mx + c[/tex]

[tex]g(0) = m*0 + c[/tex]

[tex]1 = 0 + c[/tex]

[tex]1 = c[/tex]

[tex]c = 1[/tex]

For: [tex]g(1) = 5[/tex]

[tex]g(x) = mx + c[/tex]

[tex]g(1) = m * 1 + c[/tex]

[tex]5 = m * 1 + c[/tex]

[tex]5 = m + c[/tex]

Substitute [tex]c = 1[/tex]

[tex]5 = m + 1[/tex]

[tex]m = 5 - 1[/tex]

[tex]m =4[/tex]

So, the function is:

[tex]g(x) = mx + c[/tex]

[tex]g(x) = 4x + 1[/tex]

Calculate g(3)

[tex]g(3) = 4*3 + 1[/tex]

[tex]g(3) = 12 + 1[/tex]

[tex]g(3) = 13[/tex]

Answer:

Down below

Step-by-step explanation:

The probability of the spinner landing on an even number or a multiple of 3 is ___?

1/6

1/3

1/2

2/3

5/6

The probability of the spinner landing on an even number or a multiple of 3 is ___?

13/18

1/3

7/9

2/3

5/6

Answer:

2/3 and 7/9

Step-by-step explanation:

got it correct on plato

Answer:

V = 9/2 ft^3

Step-by-step explanation:

[tex]v = 2 \times 1 \frac{1}{2} \times 1\frac{1}{2} \\ \\ v = 2 \times \frac{3}{2} \times \frac{3}{2} \\ v = \frac{9}{2} \: \: {ft}^{3} [/tex]

I hope that is useful for you :)

Answer:

450

Step-by-step explanation:

We know that 171 is 38%, since they are trying to find the number which is 100%.

38% = 171

1% = 171 ÷ 38 = 4.5

100% = 4.5 x 100 = 450

Answer:

-11/12

Step-by-step explanation:

Answer: 0.25 cm

Step-by-step explanation: The function y = 1.73x + 1.87 is used as a prediction. Since the answer is asking for how close the predicted height to the actual height is on day 6, we substitute 6 for x.

The function becomes like this:

y = 1.73(6) + 1.87

y = 10.38 + 1.87

y = 12.25

y = 12.25 cm is the predicted height on day 6. The actual height on day 6 recorded is 12.5 cm. We subtract the predicted height from the actual height and get 0.25 cm.

Answer:

Can you do it in english? I can't read in spanish sorry.

Answer:

30[tex]\sqrt{5}[/tex]

Step-by-step explanation:

3[tex]\sqrt{500}[/tex] = 3[tex]\sqrt{100}[/tex] [tex]\sqrt{5}[/tex] = 3(10)[tex]\sqrt{5}[/tex]

Answer:

none of the above

30√5

Step-by-step explanation:

3 √500

3√25x4x5

3x5x2√5

30√5

Step-by-step explanation:

Area of circle:

A=π*(r^2)=π*(16^2)=256π ft^2

Area of the figure:

A=(3*256π)/4=192π=603.185=603.18 ft^2

Answer:x>2

Step-by-step explanation:

4x/4>8/4

Answer:

x = 31

Step-by-step explanation:

These angles are complementary so:

2x + x - 3 = 90

3x - 3 = 90

3x = 93

x = 31

Answer:

  (a)  ∠HIK and ∠GFD

Step-by-step explanation:

In this geometry, there are only two pairs of alternate exterior angles:

  ∠HIK and ∠GFD

  ∠JIK and ∠EFD

Of these, only the first pair is among the answer choices.

__

Alternate exterior angles are ones that are outside the parallel lines, and on opposite sides of the transversal.

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Answer:

a

Step-by-step explanation:

Answer:

a. grow in value

Step-by-step explanation:

Financial accounting is an accounting technique used for analyzing, summarizing and reporting of financial transactions like sales costs, purchase costs, account payables and receivables of an organization using standard financial guidelines such as Generally Accepted Accounting Principles (GAAP) and financial accounting standards board (FASB).

This ultimately implies that, it involves specific processes such as recording, summarizing, analysis and reporting of financial transactions with respect to business operations over a specific period of time. Financial experts or accountant uses either the cash basis or accrual basis of accounting.

With regard to financial terminology related to a home or other asset, the word "appreciate" means to grow in value. Thus, an asset that appreciates simply means that it's growing in value over a specific period of time compared to it's initial value.

On the other hand, depreciation can be defined as the reduction of cost of a fixed asset systematically until the value of the asset becomes zero.

Answer:

w = 12

Step-by-step explanation:

Answer:

W=9

Step-by-step explanation:

[tex] \frac{2}{6 } = \frac{4}{12} = \frac{3}{9} [/tex]

so W= 9

Answer:

Volume : 94

Step-by-step explanation:

2(4 x 5) = 40

2(3 x 5) = 30

2(3 x 4) = 24

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

40 + 30 + 24 = 94

Answer:

357 in³

Step-by-step explanation:

Sorry that the picture is rotated!

Answer:

Step-by-step explanation:

i think you meant whats the probabilty of it being red

if thats what you meant, then it would be:

total number of marbles : 18

number of red marbles: 6

probability of the green marbles: 6/18

so the answer is 1/3

Answer:

.02

Step-by-step explanation:

Answer:

Johannes Gutenberg - Wikipediahttps://en.wikipedia.org › wiki › Johannes_Gutenberg

Johannes Gensfleisch zur Laden zum Gutenberg was a German goldsmith, inventor, printer, and publisher who introduced printing to Europe with his ...

Occupation: Engraver, ‎inventor‎, and printer‎

Born: Johannes Gensfleisch zur Laden zum G...

Died: February 3, 1468 (aged about 68); Mainz‎, ...‎

Known for: The invention of the movable-type ...

‎Early life · ‎Printing method with... · ‎Legacy · ‎References

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Step-by-step explanation: