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Anton [14]
2 years ago
7

The equation for compound interest is A=P(1+rn)nt, where P is the initial amount invested, r is the interest rate as a decimal,

n is the number of times compounded annually, and t is the number of years.
Determine the value of the account if the initial investment is $8,000 compounded monthly at a rate of 6% after 10 years.

$14,555.17
$8409.12
$8480.00
$14,326.78
Mathematics
1 answer:
sergij07 [2.7K]2 years ago
3 0
It would be $8409.12
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To qualify for a police academy, candidates must score in the top 10% on a general abilities test. The test has a mean of 200 an
kolbaska11 [484]

Answer:

z = 1.28 < a - 200/20

And if we solve for a we got

a = 200 + 1.28 * 20 = 225.6

So the value of height that separates the bottom 90% of data from the top 10% is 225.6.  

Step-by-step explanation:

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

X ~ N (200,20)

For u = 200 and o = 20

For this case we can use the z score in order to solve this problem, given by this formula:

Z = x-u/o

For this part we want to find a value a, such that we satisfy this condition:

P (X > a) = 0.1 (a)

P (X < a) = 0.9 (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

If we use condition (b) from previous we have this:

P ( X < a) = P (X-u/o < a - u/o) = 0.9

P (z < a-u/o) = 0.9

But we know which value of z satisfy the previous equation so then we can do this:

z = 1.28 < a - 200/20

And if we solve for a we got

a = 200 + 1.28 * 20 = 225.6

So the value of height that separates the bottom 90% of data from the top 10% is 225.6.  

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2 years ago
Selene's checking account balance was -$33, and then she withdrew $42 more. What is her checking account balance after the withd
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Answer:

-75

Step-by-step explanation:

WIthdrew = Negative

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A website had 826, 140 hits last month what is the value of the 8 in 826,140
Angelina_Jolie [31]

800,000 or eight hundred thousand.

<h3>Further explanation</h3>

<u>Problem:</u> The given number is 826,140.

<u>Question:</u> What is the value of the digit 8?

<u>The Process:</u>

This is a problem with place value.

Let us set the place values from 826,140 consecutively as follows.

  • In the thousands period: 8 hundred thousands, 2 ten thousands, 6 one thousands.
  • In the units period: 1 hundreds 4 tens 0 ones.

Let us say in word form: eight hundred twenty-six thousand six hundred forty.

Hence, the value of the 8 in the numbers 826,140 is 800,000 or eight hundred thousand.

- - - - - - -

<u>Extra:</u>

What is the value of the digit 6 in the numbers 826,140? The answer is 6,000 or six thousand.

- - - - - - -

<u>Notes:</u>

Recall that the digits in large numbers are in groups of three places, i.e.,

  • hundreds,
  • tens, and
  • ones (or units).

The groups are called periods, i.e.,

  • millions period
  • thousands period
  • ones or units period

Commas are typically used to separate the periods.

<h3>Learn more</h3>
  1. Some similar problems brainly.com/question/106975  and brainly.com/question/547255
  2. What 3 digits are in the units period of 4,083,817 brainly.com/question/558692

Keywords: a website had 826,140 hits last month, what is the value of the 8, digit, the units period, a large number, standard form, millions, thousands, hundreds, tens, ones, the place value

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72 times 4 = 288 
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