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3 years ago

7

6,000 is invested in an account that earns 4.5% annual interest, compound quarterly. What is the value of the account after 8 ye

ars?

2 answers:

vampirchik [111]3 years ago

8 0

Your answer is 8,582.71

Contact [7]3 years ago

6 0

Answer:

The value of account after 8 years is $8580

Step-by-step explanation:

You might be interested in

The National Vaccine Information Center estimates that 90% of Americans have had chickenpox by the time they reach adulthood.32

drek231 [11]

Answer:

0.59% probability that exactly 97 out of 100 randomly sampled American adults had chickenpox during childhood.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have had chickenpox, or they have not. The probability of a person having had chickenpox is independent from other people. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

90% of Americans have had chickenpox by the time they reach adulthood.

This means that $p = 0.9$

Suppose we take a random sample of 100 American adults. Is the use of the binomial distribution appropriate for calculating the probability that exactly 97 out of 100 randomly sampled American adults had chickenpox during childhood

This is $P(X = 97)$ when $n = 100$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 97) = C_{100,97}.(0.9)^{97}.(0.1)^{3} = 0.0059$

0.59% probability that exactly 97 out of 100 randomly sampled American adults had chickenpox during childhood.

8 0

3 years ago

Y= 3x+6; (4,7) in slop intercept form

Neko [114]

What we are given:

*equation

* intercepts (4,7)

All we have to do is plug in what we know:

Y= 3x + 6

x=4 and y= 7

NEW EQUATION:

7= 3(4) + 6

7= 12+6

7= 18

then divide 18 by 7

18/7= 2.5

5 0

3 years ago

Please help thanks !

Sergio039 [100]

Answer:

point slope form: y-3= $-\frac{3}5}$ (x+2)

slope-intercept form: y= $-\frac{3}{5}$ x+ $\frac{9}{5}$

Step-by-step explanation:

so to find point-slope form, you first have to find the slope of the line

--slope = $\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$ = $\frac{0-3}{3+2} =-\frac{3}{5}$ (you have to use the two points shown: (-2,3) and (3,0) to plug in for y1, y2, x1, and x2 to find the slope.)

so your slope is $-\frac{3}{5}$ .

Now all you have to do is use one of the points (-2,3) to sub in for y1 and x1 in the point-slope form equation.

Therefore, you get y-3= $-\frac{3}{5}$ (x+2) for point-slope form.

Now for slope-intercept form, you already have the slope because you found it to complete the equation for point slope form

slope = $-\frac{3}{5}$

Now slope intercept form is y=mx+b, where m is the slope and b is the y-intercept.

So, far we have y= $-\frac{3}{5}$ x+b

the easiet point to use for the x and y values is (3,0)

so, lets substitute: 0= $-\frac{3}{5}$ (3)+b, which becomes 0= $-\frac{9}{5}$ +b

add $-\frac{9}{5}$ to both sides to get b= $\frac{9}{5}$

Now you have both the slope and the y-intercept so you can now write the line in slope-intercept form.

You get $y=-\frac{3}{5}x +\frac{9}{5}$ .

5 0

3 years ago

What is 0.78 reapeating as a simplified fraction

lina2011 [118]

Is the 8 repeating or 78

If just 8: 71/90

If 78: 78/99

4 0

4 years ago

enrique says that to round a decimal to the nearest integer, you can just ignore the decimal part. Is enrique correct? Explain

Delvig [45]

Answer:

No

Step-by-step explanation:

No, the decimal part is important.

For example, 1.4≈1, but 1.5≈2

Therefore, Enrique is wrong.

4 0

3 years ago