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lilavasa [31]
3 years ago
15

The amount of time it takes for a student to complete a statistics quiz seems to have a uniform distribution with a minimum time

of 18 minutes and the maximum of 50 minutes. The professor wants to reward(with bonus marks) students who are in the lowest quarter of completion times. What completion time should be used for the cutoff for awarding bonus marks?
Mathematics
1 answer:
Marina CMI [18]3 years ago
8 0
Q1 = 18 + 1/4(50 - 18) = 18 + 1/4(32) = 18 + 8 = 26

Therefore, the cutoff should be 26.
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How much money should be deposited today in an account that earns 6% compounded monthly so that it will accumulate to $1000000 (
aleksandr82 [10.1K]

Answer:

The principal investment required to get  a total amount of $ 1,000,000.00  from compound interest at a rate of 6% per year  compounded 12 times per year  over 45 years  is $ 67,659.17.

Step-by-step explanation:

Given

  • Accrued Amount A = $1000000
  • Interest rate r = 6% = 0.06
  • Time period t = 45 years
  • Compounded monthly n = 12

To determine:

  • Principle amount P = ?

Using the formula

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

P\:=\frac{A}{\left(1\:+\:\frac{r}{n}\right)^{nt}}

substituting A = 1000000, r =  0.06, t = 45, and n = 12

P\:=\frac{1000000}{\left(1\:+\:\frac{0.06}{12}\right)^{12\cdot 45}}\:

    =\frac{1000000}{1.005^{540}}

P = 67659.17 $

Therefore, the principal investment required to get  a total amount of $ 1,000,000.00  from compound interest at a rate of 6% per year  compounded 12 times per year  over 45 years  is $ 67,659.17.

7 0
2 years ago
What is the distance between the following points?
Anastasy [175]

Answer:

distance = 5

Step-by-step explanation:

Use Pythagorean Theorem or Distance Formula (which comes from Pythagorean Thm anyway) see image.

6 0
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barxatty [35]

Answer:

5. y = -1/2x + 6

6.  y = 1/2x + 150

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kramer

Answer:

x = 5

Step-by-step explanation:

3x - 5 = 10

We want to isolate the x.

3x - 5 = 10\\+5\;\;\;\;\;\;\;\;\;         +5

3x = 15

Now, we want the x not to have a coefficient. We want it just to be x =. We will do this via inverse operations. Since 3 x is 3 multiplied by x, we will divide each side by 3.

\frac{3x}{3} \;=\;\frac{15}{3}

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~InLoveWithPugs

Moderator\\Math \ Enthusiast

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2 years ago
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