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

Answer:

17.5(D)

Step-by-step explanation:

So, lets see:

Every 5 minutes, Raul answers 22 questions.

The test has 77 questions.

We must figure out the time it takes to answer all 77 questions.

To do this, lets first divide the total questions by the questions answered per 5 minutes:

77 / 22

=

3.5

I got 3.5 knowing that 3x22 is 66, and half(0.5) of 22 is 11, and 11 plus 66 is 77.

So, the 3.5 is how many times he answrs 22 questions in five minutes.

To make a bit more sense, basically we have to multiply the 5 minutes by the 3.5:

3.5*5

=

17.5

We know that 3 times 5 is 15. Half(0.5) of 5 is 2.5, so 15+2.5 is 17.5.

So the answer is that for the 77 quesitons, it takes 17.5 minutes

HOPe this helps!

Answer:

First answer: 5x+8x+9+3+4

Second answer: 13x+16

Answer:

Step-by-step explanation:

A. Distance(16)= 30

Answer:

Then the probability distribution is:

P(0) = 1/3

P(1) = 4/15

P(2) = 1/5

P(3)  = 2/15

P(4) = 1/15

The expected value for X is:

EV = 1.33...

Step-by-step explanation:

We have a total of 6 marbles in the jar.

The probability of getting a red marble in the first try  (X = 0) is equal to the quotient between the number of red marbles and the total number of marbles, this is:

P(0) = 2/6 = 1/3

The probability of drawing one green marble (X = 1)

is:

First, you draw a green marble with a probability of 4/6

Then you draw the red one, but now there are 5 marbles in the jar (2 red ones and 3 green ones), then the probability is 2/5

The joint probability is:

P(1) = (4/6)*(2/5) = (2/3)*(2/5) = 4/15

The probability of drawing two green marbles (X  = 2)

Again, first we draw a green marble with a probability of 4/6

Now we draw again a green marble, now there are 3 green marbles and 5 total marbles in the jar, so this time the probability is 3/5

Now we draw the red marble (there are 2 red marbles and 4 total marbles in the jar), with a probability of 2/4

The joint probability is:

P(2) = (4/6)*(3/5)*(2/4) = (2/6)*(3/5) = 1/5

The probability of drawing 3 green marbles (X = 3)

At this point you may already understand the pattern:

First, we draw a green marble with a probability 4/6

second, we draw a green marble with a probability 3/5

third, we draw a green marble with a probability 2/4

finally, we draw a red marble with a probability 2/3

The joint probability is:

P(3) = (4/6)*(3/5)*(2/4)*(2/3) = (2/6)*(3/5)*(2/3) = (1/5)*(2/3) = (2/15)

Finally, the probability of drawing four green marbles (X = 4) is given by:

First, we draw a green marble with a probability 4/6

second, we draw a green marble with a probability 3/5

third, we draw a green marble with a probability 2/4

fourth, we draw a green marble with a probability 1/3

Finally, we draw a red marble with a probability 2/2 = 1

The joint probability is:

P(4) = (4/6)*(3/5)*(2/4)*(1/3)*1 = (1/5)*(1/3) = 1/15

Then the probability distribution is:

P(0) = 1/3

P(1) = 4/15

P(2) = 1/5

P(3)  = 2/15

P(4) = 1/15

The expected value will be:

EV = 0*P(0) + 1*P(1) + 2*P(2) + 3*P(3) + 4*P(4)

EV = 1*(4/15) + 2*( 1/5) + 3*( 2/15) + 4*(1/15 ) = 1.33

So we can expect to draw 1.33 green marbles in this experiment.

Answer:110 degrees

Step-by-step explanation:

Answer:

108 m^3

Step-by-step explanation:

The volume of a rectangular prism is the product of all its sides. 12 * 6 * 1.5 = 108

Answer:

Step-by-step explanation:

thats it

Answer:

Step-by-step explanation:

take 18 degree as reference angle

using cos rule

cos 18=adjacent/hypotenuse

0.95=x/27

0.95*27=x

25.65=x

25.7=x

Answer:

I think its 0

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

6+4×10=6+40

6+40=46

Answer:

[tex]Width = 14feet[/tex]

Step-by-step explanation:

Given

[tex]Area = 154[/tex]

[tex]Width = 11[/tex]

Required

The length

Area is calculated as:

[tex]Area = Length * Width[/tex]

Make Width, the subject

[tex]Width = \frac{Area}{Length}[/tex]

So, we have:

[tex]Width = \frac{154}{11}[/tex]

[tex]Width = 14feet[/tex]

Answer:

∠A and ∠G is the pair of vertical angles.

Step-by-step explanation:

From the figure attached,

Two lines 'm' and 'n' are two parallel lines. These lines intersect a horizontal line 'l'.

Since, "Pair of opposite angles formed at the point of intersection are the vertical angles and equal in measure."

Therefore, Opposite angles ∠A ≅ ∠G, ∠B ≅ ∠H, ∠C ≅ ∠E and ∠D ∠F are the vertical angles.

From the given options,

∠A and ∠G is the pair representing the pair of vertical angles and thus congruent.

Answer:

∠A and ∠G

Step-by-Step Explaination:

I did it on

E

D

G

E

N

U

I

T

Y

Answer:

26 ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

The vertex is a point. The x value is defined as x = - b / 2a where

a = -3

b = - 12

x = - -12/ 2* -3

x = 12 / - 6

x = -2

what is y when x = - 2?

y = -3(-2)^2 - 12(-2) - 13

y = -12 + 24 - 13

y  = -1

Does the graph agree? It should

The equation is written as

y = -3(x + 2)^2 - 1

Answer:

Step-by-step explanation:

ask cymath it will help you with any mathmatical problem

Answer:

thx for the points MWAH!

Step-by-step explanation:

Answer:

(7,-19)

Step-by-step explanation:

(x,y) --> (x - 11, y - 9)

Substitute x=18 and y = -10 into the translation

(x,y) --> (18 - 11, -10 - 9)  

             (7,-19)

9514 1404 393

Answer:

  307°

Step-by-step explanation:

The measure of arc CFD is the measure of the whole circle, less the measure of arc CD. The measure of arc CD is the difference between the measures of arc CE and DE. Arc CE has the same measure as arc BF, so we have ...

  arc CFD = 360° -(arc BF -arc ED)

  arc CFD = 360° -132° +79°

  arc CFD = 307°

_____

Arcs BF and CE are of equal measure because their central angles are vertical angles, hence congruent.

Answer:

-3p^2 - 11p + 22

Step-by-step explanation:

A - 3B becomes (-2p + 7) - 3*(p^2 + 3p - 5).

Perform the indicated multiplication, obtaining:

                            (-2p + 7) - 3p^2 - 9p + 15, and then:

                              -2p + 7 - 3p^2 - 9p + 15, or (combining like terms):

                                 -3p^2 - 11p + 22

Answer:

The balloon is 1405.38 feet above the ground.

Step-by-step explanation:

tan 37 = opp/adj = x/1865

tan 37/1 = x/1865

1865 tan 37 = x

x=1405.378303...≈1405.38

Answer:

See below

Step-by-step explanation:

[tex]y = {u}^{ \frac{3}{2} } \\ \\ \therefore \: \frac{dy}{du} = \frac{3}{2} {u}^{ \frac{3}{2} - 1 } = \boxed{\frac{3}{2} {u}^{ \frac{1}{2}} } \\ \\ u = 8x + 3 \\ \\ \frac{du}{dx} = 8.1 + 0 = \boxed{8}[/tex]

Answer:

[tex]a_{n} = 5 * 3^{n-1}[/tex]

Step-by-step explanation:

To find the nth term of a geometric sequence, you have the general formula:

[tex]a_{1} *r^{n-1}[/tex]

where a1 is the first term and r is the common ratio. In order to find the 4th term, we can substitute what we have(n is 4 because we are looking for the fourth term):

135 = [tex]a_{1} * 3^{4 - 1}[/tex]

135 = [tex]a_{1} * 3^3[/tex]

135 = [tex]27a_{1}[/tex]

[tex]a_{1} = 5[/tex]

Now, we can substitute the first term back in:

[tex]a_{n} = 5 * 3^{n-1}[/tex]

Answer:

Null hypothesis :

Grades have not improved for a majority of students

Alternative hypothesis :

Grades have improved for a majority of students

Step-by-step explanation:

The null and alternative hypothesis for this scenario who see the null hypothesis take a midpoint between improvement and decline ; which can be expressed as ;

H0 : p = 0.5

This means that the performance of students is at a centre point where it could swing either way (decline or improve).

To test of grade has improved students, the, the proportion of f students who have proved should be greater. Which is what the test intends.

H1 : p > 0.5

D should be your answer :)

Answer:

a) The sample mean is of 42.7 thousand dollars.

The standard deviation is of 6.38 thousand dollars.

b) The point estimate of the difference between the two population means is of 20.4 thousand dollars.

Step-by-step explanation:

a. Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges.

Sample mean is the sum of all values divided by the number of values. So

[tex]M = \frac{53.8 + 42.2 + 44.0 + 34.3 + 44.0 + 31.6 + 45.8 + 38.8 + 50.5 + 42.0}{10} = 42.7[/tex]

The sample mean is of 42.7 thousand dollars.

Sample standard deviation is the square root of the sum of the difference squared between each number and the mean, divided by the number of values. So

[tex]S = \sqrt{\frac{(53.8-42.7)^2 + (42.2-42.7)^2 + (44.0-42.7)^2 + (34.3-42.7)^2 + (44.0-42.7)^2 + (31.6-42.7)^2 + (45.8-42.7)^2 + (38.8-42.7)^2 + (50.5-42.7)^2 + (42.0-42.7)^2}{10}} = 6.38[/tex]

The standard deviation is of 6.38 thousand dollars.

b. What is the point estimate (in thousand dollars) of the difference between the two population means?

First, we have to find the sample mean for public colleges, and then subtract the sample mean of private colleges by the sample mean of public colleges. So, for public colleges:

[tex]M = \frac{20.3 + 22.0 + 28.2 + 15.6 + 24.1 + 28.5 + 22.8 + 25.8 + 18.5 + 25.6 + 14.4 + 21.8}{12} = 22.3[/tex]

Point estimate of the difference:

42.7 - 22.3 = 20.4

The point estimate of the difference between the two population means is of 20.4 thousand dollars.

Answer:

[tex]40[/tex]

hope this helps you.

Can I have the brainliest please?

Answer:

-csc²θ(tan²θ)

Step-by-step explanation:

csc²θ-csc²θ(sec²θ)

-csc²θ(-1+sec²θ)

-csc²θ(tan²θ)

Answer:

o

Step-by-step explanation:

-4h=32

h=32/-4

h=-8

Answer:

h=-8

Step-by-step explanation:

-4h=32

Isolate h by dividing -4 on both sides

h=32/-4

Simplify

h=-8

If this helps please mark as brainliest