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3 years ago

14

an initial investment of $9000 grows at an annual interest rate of 5% compounded continuously. how long will it take to double t

he investment?

1 answer:

tino4ka555 [31]3 years ago

8 0

Answer:

20 years

Step-by-step explanation:

9000/ 100= 900 = 10%

900/2= 450

450 x 2= 900

900 x 10= 9000

Now we multiply 10 by 2 because we doubled the value of our 450 into a 900 and now we get 20.

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in a final exam you have four multliple choice questions left to do. each questions has five suggested answers and only one of t

kompoz [17]

Answer:

The probability that you get zero questions correct is 0.4096

The probability that you get one questions correct is 0.4096

The probability that you get three questions correct is 0.0256

Step-by-step explanation:

These probability can be describe with a Binomial Distribution. These distribution can be used when we have n identical and independent situations in which there is a probability p or probability of success and a probability q or probability of fail. Additionally q is equal to 1 - p. The probability of x for a situation in which we can apply binomial distribution is:

$P( x,n,p) = n Cx * p^{x } * q^ {n-x}$

Where x is the variable that says the number of success in the n situations

And nCx is calculate as:

$nC x = \frac{ n!}{ x! (n-x)! }$

From the question we can identify that:

n is equal to 4 multiple choice question
p is 1/5 or 0.2, the probability of get one question correct
q is 4/5 or 0.8, the probability of get one question incorrect

Then the probability of get zero questions correct of 4 questions is:

$P( 0, 4, 0.2) = 4 C0 * p^{0 } * q^ {4-0}= 0.4096$

The probability of get one question correct of 4 questions is:

$P( 1, 4, 0.2) = 4 C1 * p^{1 } * q^ {4-1}= 0.4096$

The probability of get three questions correct of 4 questions is:

$P( 3, 4, 0.2) = 4 C3 * p^{3 } * q^ {4-3}= 0.0256$

8 0

4 years ago

Samara buys a video game for $56.00 she also buys a book. The price of video game is 8 times as much as the price of the book. W

igor_vitrenko [27]

The answer is $7.00 because 56.00/8=7.00.
Hope that helps.

4 0

3 years ago

Read 2 more answers

How would you solve this without a calculator?

Soloha48 [4]

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact Form:

$1351+780\sqrt{3}$

Decimal Form:

2701.99962990

Thus, <em>2,701</em> is your answer

5 0

2 years ago

A car has a windshield wiper on the driver's side that has total arm length of 10 inches. It rotates

son4ous [18]

Answer:

75.44 Square Inches

Step-by-step explanation:

The diagram of the problem is produced and attached.

To determine the area of the cleaned sector:

Let the radius of the larger sector be R

Let the radius of the smaller sector be r

Area of the larger sector $=\frac{\theta}{360}X\pi R^2$

Area of the smaller sector $=\frac{\theta}{360}X\pi r^2$

Area of shaded part =Area of the larger sector-Area of the smaller sector

$=\frac{\theta}{360}X\pi R^2-\frac{\theta}{360}X\pi r^2\\=\frac{\theta \pi}{360}X (R^2- r^2)$

From the diagram, R=10 Inch, r=10-7=3 Inch, $\theta=95^\circ$

Therefore, Area of the sector cleaned

$=\frac{95 \pi}{360}X (10^2- 3^2)\\=75.44$ Square Inches$

7 0

3 years ago

The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall sem

wariber [46]

Answer:

In order to calculate the expected value we can use the following formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=(1060*0.5) +(1400*0.1) +(1620*0.4)=1318$

Step-by-step explanation:

Let X the random variable that represent the number of admisions at the universit, and we have this probability distribution given:

X 1060 1400 1620

P(X) 0.5 0.1 0.4

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).

And the standard deviation of a random variable X is just the square root of the variance.

In order to calculate the expected value we can use the following formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=(1060*0.5) +(1400*0.1) +(1620*0.4)=1318$

3 0

3 years ago