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Natasha2012 [34]
3 years ago
7

Suppose that a loan of $8000 is given at an interest rate of 16% compounded each year.

Mathematics
1 answer:
mash [69]3 years ago
6 0

Answer:

9280

Step-by-step explanation:

8000 x .16 + 8000

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4 years ago
An article on polygraph testing of FBI agents indicated that the probability of a false-positive (a trustworthy person who nonet
Alexandra [31]

Answer:

The variable x will follow a geometric distribution, with mean = 3 and standard deviation = 3.46.

The values for P(x) are:

P(0)=0.25\\\\P(1)=0.1875\\\\P(2)=0.1406\\\\P(3)=0.1055\\\\P(4)=0.0791\\\\P(5)=0.0593\\\\P(6)=0.0445\\\\P(7)=0.0334\\\\P(8)=0.025\\\\P(9)=0.0188\\\\P(10)=0.0141\\\\

Step-by-step explanation:

This kind of random variables can be descripted by the geometrical distribution.

This distribution shows the probability of having an amount of "failures" before the first "success" (or the other way).

Let x be the number of trustworthy FBI agents tested until someone fails the test. The probability of failing a test is p=0.25

Then, the probability of x is:

P(x)=q^x\cdot p

The values for the first x are:

P(0)=0.75^0\cdot 0.25=0.25\\\\P(1)=0.75^1\cdot 0.25=0.1875\\\\P(2)=0.75^2\cdot 0.25=0.1406\\\\P(3)=0.75^3\cdot 0.25=0.1055\\\\P(4)=0.75^4\cdot 0.25=0.0791\\\\P(5)=0.75^5\cdot 0.25=0.0593\\\\P(6)=0.75^6\cdot 0.25=0.0445\\\\P(7)=0.75^7\cdot 0.25=0.0334\\\\P(8)=0.75^8\cdot 0.25=0.025\\\\P(9)=0.75^9\cdot 0.25=0.0188\\\\P(10)=0.75^{10}\cdot 0.25=0.0141\\\\

This probability will be descending as the the variable x increases.

The mean is:

\mu=\frac{1-p}{p}= \frac{1-0.25}{0.25}=\frac{0.75}{0.25}=3

The standard deviation is:

\sigma=\sqrt{\frac{1-p}{p^2}} =\sqrt{ \frac{0.75}{0.25^2} }=\sqrt{12}= 3.46

5 0
3 years ago
Evaluate 11.3v + 10.7w when v=7 and w=8
Elina [12.6K]

Answer:

164.7

Step-by-step explanation:

So if v= 7 and w=8, then the problem would become - 11.3 x 7 plus 10.7 x 8.

simplified, this would be 79.1 + 85.6, so add that and you should get 164.7

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3 years ago
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