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Nitella [24]
3 years ago
15

The point (5, -2) is rotated 90° about the origin. Its image is

Mathematics
2 answers:
sasho [114]3 years ago
8 0
I'm pretty sure the answer is (-2,-5)
(x,y) -> (y,-x)
krek1111 [17]3 years ago
7 0

To solve this we must follow the rule of the 90 degrees rotation. It states that the coordinates of a  point will be switched and then the x value will be negative.

<u>(x,y)=(y,-x)</u>

So the new coordinates for your point would be (-2,-5)

(5,-2)=(-2,-5)

Which is our final answer.


Hope this helps!


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Lauren will make annual contributions in the amount of $4,770, on average, to a 401(k) over the next 34 years. Her employer will
fredd [130]

Answer:

  $610,297.11

Step-by-step explanation:

The problem seems to make several assumptions:

  • contributions are made at the end of each year
  • contributions and employer matching funds are not taxed until retirement
  • the 15% tax rate applies to the account balance amount at retirement

Of these, the last is least likely to be true in the United States.

___

Based on the assumptions above, we compute the amount from the future value of the series of contributions, then subtract 15% from that result.

  FV = P·((1 +r)^n -1)/r . . . . where P is the amount of each payment, r is the annual interest rate, n is the number of payments.

The amount deposited each year is ...

  $4770 + 0.60·4770 = $7630

Then the future value after 34 deposits is ...

  FV = 7630·(1.055^34 -1)/0.055 ≈ 717,996.60

When this amount is reduced by the assumed 15% tax rate, it becomes ...

  $717,996.60 - 0.15·717,996.60 = $610,297.11

4 0
3 years ago
Let’s assume that human body temperatures are normally distributed with a mean of 98.20° F and a standard deviation of 0.62° F.
uysha [10]

Answer: It is such a small percentage of the population that would be considered to have fever at that level.

So, it is not appropriate stringent standard.

Step-by-step explanation:

Since we have given that

Mean = 98.20°F

Standard deviation = 0.62°F

If  Bellevue Hospital in New York City uses 100.6°F as the lowest temperature considered to be a fever.

So, \bar{X}=100.6^\circ F

So, using the normal distribution, we first find the value of z.

z=\dfrac{\bar{x}-\mu}{\sigma}\\\\x=\dfrac{100.6-98.2}{0.62}\\\\z=3.87

Since z = 3.87

So, p = 0.0001 =0.1%

So,It is such a small percentage of the population that would be considered to have fever at that level.

So, it is not appropriate stringent standard.

4 0
3 years ago
Are snow days a thing of the past or do they still have a place in today's world? Answer whether or not you believe the Mayor an
Aleksandr [31]

Answer:

I feel it is unfair to kids of today to require work in bad weather. Especially in harsh and even dangerous weather conditions. For me what if power goes out should I be required to do work?

5 0
3 years ago
Pls help 0.5a = 2a + 3
spayn [35]

Answer:

-2

Step-by-step explanation:

0.5a=2a+3

a=-2

PLEASE MARK BRAINLIEST

5 0
3 years ago
Need help with those 2 plz help
Blizzard [7]

Answer: y

Hope this helped <3

8 0
3 years ago
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