Please help I don't understand i'm in the lowest class?

4. If your company purchases an annuity that will pay $50,000/year for 10 years at a 11% discount rate, what is the value of the

julsineya [31]

Answer:

The value of the annuity is $326,852.3766.

Step-by-step explanation:

Here is the required formula to find the present value of annuity:

We can find the present value of annuity:

$PV = P + P (\frac{1-(1+r)^{-(n-1)} }{r})$

Here:

P = $50,000

n = represents the number of number of periods

r = 0.11

$PV = 50,000 + 50,5000 (\frac{1-(1+0.11)^{-(10-1)} }{0.11})$

PV = $326,852.3766

The value of the annuity is $326,852.3766 i.e. PV = $326,852.3766.

Keywords: discount rate, present value of annuity

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4 0

3 years ago

I rlly need help with this :(

kobusy [5.1K]

Using the normal distribution, it is found that:

a) The pilot is at the 72th percentile.

b) 19.13% of pilots are unable to fly.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 72.6, \sigma = 2.7$ .

Item a:

The percentile is the <u>p-value of Z when X = 74.2</u>, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{74.2 - 72.6}{2.7}$

Z = 0.59

Z = 0.59 has a p-value of 0.7224.

72th percentile.

Item b:

The proportion that is able to fly is the <u>p-value of Z when X = 78 subtracted by the p-value of Z when X = 70</u>, hence:

X = 78:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{78 - 72.6}{2.7}$

Z = 2

Z = 2 has a p-value of 0.9772.

X = 70:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{70 - 72.6}{2.7}$

Z = -0.96

Z = -0.96 has a p-value of 0.1685.

0.9772 - 0.1685 = 0.8087 = 80.87%.

Hence the percentage that is unable to fly is:

100 - 80.87 = 19.13%.

More can be learned about the normal distribution at brainly.com/question/4079902

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3 0

2 years ago

PLEASE ANSWER

djyliett [7]

The approximate equation in slope intercept form is y = 3x + 2.

Solution:

Let us take (0, 2) and (1, 5) on the graph.

$x_1=0, y_1=2, x_2=1, y_2=5$

Equation of the line in slope-intercept form:

y = mx + b

where m is the slope of the line and b is the y-intercept of the line.

Slope of the line:

$$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$$m=\frac{5-2}{1-0}$

$$m=\frac{3}{1}$

m = 3

y-intercept of the line is the value of y when x = 0.

Here the value of y is 2 when x = 0. That is (0, 2) is the point of y-intercept.

Therefore b = 2.

y = 3x + 2

Hence the approximate equation in slope intercept form is y = 3x + 2.

7 0

3 years ago

Harry has three vehicles (bicycle,scooter, and car). He uses them to go to school, the garden, and the theatre. If he is out of

tamaranim1 [39]

He could be using either his bicycle, scooter, and the car. He could also be at either the school, garden or theatre. There are 3 possible methods of his transportation and places he could be. So Your Answer is 3.

7 0

3 years ago

X + 4y = -24<br> 5x + 3y = -35

Salsk061 [2.6K]

Answer:

$(-4,-5 )$

Step-by-step explanation:

You are looking for the point of intersection of these two functions.

Substitution:

This are now your formulas

$\left \{ {{x=-4y-24} \atop {5x+3y=-35}} \right.$

You are going to substitute x, so you can solve for y

$5(-4y-24)+3y=-35$
$-20y-120+3y=-35$
$-17y=85$
$y=-5$

Now you are going to substitute y to find x

$x=-4(-5)-24$
$x=20-24$
$x=-4$

Now lets check if it is correct

$-4+4(-5)=-24 :)$
$5(-4)+3(-5)=-35 :)$

So it is true, making (-4 , -5) your point of intersection.

hope it helps

5 0

3 years ago