Approximately how long will it take for $700 to double if it is invested at 4% annual
interest, compounded continuously?
Round your final answer to the nearest whole year and do not label units.

Answers

Answer 1

Answer: 17 years

Step-by-step explanation:

Exponential equation for compund amount( compunded continuously):

[tex]A=Pe^{rt}[/tex] , where P= Principal value , r= rate of interest , t= time.

Given: A= 2P

r =4%= 0.04

To find : t

Substitute all values in the formula , we get

[tex]2P=Pe^{0.04t}\\\\\Rightarrow\ 2=e^{0.04t}[/tex]

Taking natural log on both sides

[tex]\ln2=\ln e^{0.04t }\\\\\Rightarrow\ 0.693147=0.04t\\\\\Rightarrow\ t=\dfrac{ 0.693147}{0.04}\\\\\Rightarrow\ t=17.3286\approx17[/tex]

hence, it will take 17 years (approx).


Related Questions

What is the value of x in the equation One-third x minus two-thirds = negative 18? –56 –52 52 56 Need answer ASAP!!!! Being Timed

Answers

Answer:

Step-by-step explanation:

fhv

4x+5+4x+5+4x+5+4x+5+4x+5 solve for x

Answers

Answer:

3

Step-by-step explanation:

guys if I don't finish this imma get beat please help

Answers

Answer:

The answer is b.) hope this helps!!

Step-by-step explanation:

if you only look at H and H', you can see H' is being translated(slid) down the Y axis and since it is sliding down, it is -4, giving you (x, y-4)

2w=-10 what does w equal to

Answers

Answer:

2w = -10

-10 / 2 = -5

Answer: -5

Step-by-step explanation:

Answer:

5 or -5

Step-by-step explanation:

I can't tell if the 10 is negative or not but if it is the answer is -5

If it's not the answer is 5.

10 divided by 2 is 5.

-10 divided by 2 is -5.

Start with the top figure. Which transformation was used to create the pattern?

Answers

The answer is rotation

The transformation that was used to create the pattern is rotation. The correct option is A, rotation.

What is the transformation in logic?

If two formulae are logically identical, either one may replace the other in any well-formed context without changing anything's truth value or inferential qualities. This is a fundamental property of logic.

The given figure in the top is needed to be transformed such that the pattern given below is produced. Therefore, if we observe the figure at the top and the pattern, then it can be seen that the given figure is rotated by 90° to create the given pattern. The pattern will be formed.

Hence, the transformation that was used to create the pattern is rotation.

Learn more about Transformation:

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I will give u brainliest if u answer this pweeze

Answers

Answer:

Its too tiny please make it bigger

Step-by-step explanation:

i even zommed in but i still cant see it, and i have my glasses on

Answer:

11. A. y = 24x

12. C. c = 0.5p

13. D. p = (1/200)n

14. C. 5 : 8

Step-by-step explanation:

11. y = 24x is correct because you multiply the number of days (x) by 24 to get the number of hours (y)

12. c = 0.5p is correct because there are half as many c as p. so to get c, you multiply p x 1/2.

13. If we substitute in, p is 1/4. 1/200 times n = 0.25 or 1/4. So D. is correct.

14. The ratio of apples to oranges is 15 : 24. We can divide 15 and 24 both by 3 to get 5 : 8.

I hope that this helps! :)

It also detects if you are right or wrong

Answers

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According to the table ;

[tex]f(0) = 6[/tex]

Let's check that in which of the equations it happens.

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A )

[tex]y = f(x) = 6x + 4[/tex]

[tex]f(0) = 6(0) + 4[/tex]

[tex]f(0) = 0 + 4[/tex]

[tex]f(0) = 4[/tex]

Wrong

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B )

[tex]y = f(x) = 4x + 6[/tex]

[tex]f(0) = 4(0) + 6[/tex]

[tex]f(0) = 0 + 6[/tex]

[tex]f(0) = 6[/tex]

Correct.

Thus this option is the correct answer.

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C )

[tex]y = f(x) = 2x + 4[/tex]

[tex]f(0) = 2(0) + 4[/tex]

[tex]f(0) = 0 + 4[/tex]

[tex]f(0) = 4[/tex]

Wrong

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WILL MARK BRAINLIEST!!!!

Answers

Answer:

Step-by-step explanation:

2x-3

2(21)-3

42=3

39

Answer:

its 5

3(2x-3)=21

6x-9=21

6x=30

x=5

What is the slope of the line that passes through the points (−3, 12) and (5,−14)?

Answers

Answer:

-13/4

Step-by-step explanation:

slope formula: y2-y1/x2-x1

-14-12/5-(-3)

-26/8

= -13/4

Hope this helps! :)

Sam bought an $85.00 for 40% of the regular price.How much did he pay for the jacket?

Answers

Answer:

he payed 34$ for the jacket

Step-by-step explanation:

Solve the following proportion; -5/3=2-3a/7

Answers

Answer:

a   =   77

          9

This is the answer

find z and x

please help i’ll mark the first one or whoever right brainliest

Answers

Answer:

z=97 x=21

Step-by-step explanation:

so straight angles always equal 180°

And assuming that your lines are parallel, the angle under angle z should be 83° just like the angle above angle z

There for to solve for x, first subtract 83 from 180 because that's what that angle is equal to.

Now that you have the equation 4x+13 and you know that it's equal to 97 you can solve it just like a normal inequality.

4x+13=97

4x=84

x=21

Cynthia’s mom gave her $20.00 to spend at her friend’s birthday party on Friday night. Write an inequality that represents the number of games, g, Cynthia can bowl to remain within her budget.

Answers

Answer:

will or will not

Step-by-step explanation:

The inequality that represents the number of games [g] Cynthia can bowl to remain within her budget is -

gx ≤ 20

What is the general equation of a Straight line inequality? What is inequality? What are strict and slack inequalities.

The general equation of a straight line is -

[y] > [m]x + [c]

[y] < [m]x + [c]

[y] ≥ [m]x + [c]

[y] ≤ [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Strict inequalities are those inequalities which use either > or < to compare expressions. Example : 2x + 4 > 5

Slack inequalities are those inequalities which use either or to compare expressions. Example : 2x + 4 ≥ 5

We have Cynthia’s mom who gave her $20.00 to spend at her friend’s birthday party on Friday night.

Assume that a single game costs $x. Then, the inequality that represents the number of games [g] Cynthia can bowl to remain within her budget is-

gx ≤ 20

Therefore, the inequality that represents the number of games [g] Cynthia can bowl to remain within her budget is -

gx ≤ 20

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Let StartFraction cosine (2 x) Over cosine (x) + sine (x) EndFraction = 0 where 0° ≤ x ≤ 180°. What are the possible values for x?

a- 45 only
b- 135 only
c- 45 or 225
d- 135 or 315

*NEED HELP ASAP

Answers

Answer:

The correct option is;

a- 45° only

Step-by-step explanation:

The given equation can be presented as follows;

[tex]\dfrac{cos (2 \cdot x)}{cosine (x) + sin (x)} = 0[/tex]

We have that cos(2·x) = cos²(x) - sin²(x)

Also, we have, by the difference of two squares, the following relation;

cos²(x) - sin²(x) = (cos(x) - sin(x))(cos(x) + sin(x))

Therefore, the given equation can be written as follows;

[tex]\dfrac{cos (2 \cdot x)}{cosine (x) + sin (x)} = \dfrac{(cos(x) - sin(x)) \times (cos(x) + sin(x))}{(cos (x) + sin (x))} =0[/tex]

Crossing the common term, (cos(x) + sin(x)), in the numerator and the denominator, we have;

[tex]\dfrac{(cos(x) - sin(x)) \times (cos(x) + sin(x))}{(cos (x) + sin (x))} = cos(x) - sin(x) = 0[/tex]

From cos(x) - sin(x) = 0, we have;

Adding sin(x) to both sides of the equation

cos(x) - sin(x) + sin(x) = 0 + sin(x)

cos(x) = sin(x)

Therefore, the opposite leg and the adjacent leg of the right triangle formed with reference to the angle x are equal

∴ x = 90/2 = 45° only for 0° ≤ x ≤ 180°

Answer:

A. 45 only

Step-by-step explanation:

EDGE 2020

Which point is a solution to the inequality shown in this graph?

Answers

The answer would be (3,-1), Since the line is solid and not dotted, any point on the line or in the shaded region would be a valid solution.

what is the distance between the points with coordinates (-5,5) and (5,-5)? express your answer in simplest radical form

Answers

Answer:

10 spaces in each direction

Step-by-step explanation:

                     5

                      !

-5--------------------!-------------------5

                      !

                      !

                      5


What is the value of x?

Answers

It might be 64 but I’m not entirely sure on that.


Lana needs 38 inches of rope She cuts a piece of rope that measures 36 inches. What is her percent error to the nearest whole percent?

Answers

Answer:

About 5%

Step-by-step explanation:

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz heeeeeeeeeeeeelp due in 13mins

Answers

It’s A because they are trying to figure out the time.

x - y = 1
Convert the equation from standard form to slope-intercept form.​

Answers

Answer:

y=x-1

Step-by-step explanation:

The equation is currently in standard form which is a+b=y and slope-intercept is y=mx+b where m is the slope and b is the y-intercept. To change the form we must move the terms around using Properties of Equality.

First, subtract 1 from both sides

x-y-1=1-1

x-y-1=0

Then, add y to both sides

x-y-1+y=0+y

x-1=y

So that is the equation in slope-intercept form with a slope of 1 and a y-intercept of -1.

Answer:

y=x-1

Step-by-step explanation:

It is y=x-1 because first when we do ANYTHING first. We leave the y on the left side of the equation, since the slope y=mx+b has the y always on the left side. So we subtract x from both sides and we get -y=-x+1. We are NOT DONE yet, so after this, we divide both sides by -1. Why? This is because you cannot have a negative y. Dividing both sides by -1 you finally get y=x-1. If this is trouble some to read, I will also put how to solve the problem down below. :)

Let's solve for y.

x−y=1

Step 1: Add -x to both sides.

x−y=1+−x

−x

−y=−x+1

Step 2: Divide both sides by -1.

−y/ −1 = −x+1 /−1

y=x−1

Answer:

y=x−1

kay is making a drink that needs 3 gallons of of juice , how many cups can she make of juice?

Answers

48 cups!! hope this helps!!

Choose the correct Triangle Congruence Theorem

Answers

Answer:

ASA

Step-by-step explanation:

Answer:

AAS

Step-by-step explanation:

The triangles have two congruent angles and one congruent side. This means they are congruent through the AAS theorem. The reason it is not the ASA theorem is that the side is not included, which means it is not in-between the congruent angles.

2x+7=3x+4
step by step

Answers

Answer:

3=x or x=3

Step-by-step explanation:

2x+7=3x+4

-2x+2x7=-2x+3x+4

7=x+4

7-4=x+4-4

3=x or x=3

first step is to subtract 3x on both sides of the equation since they both have an x attached to them.

we are left with -x + 7 = 4

then we will subtract 7 from both sides of the equation where we are left with

-x = -3

finally we divide -x on both sides which leaves us with x = 3 as our final answer

Help please -?
An answer and an explanation to understand would be helpful

Answers

Answer:

A c b

Step-by-step explanation:

A

What is greater 34/18 or 1 5/6

Answers

The second one is correct

Answer:

34/18~ greater

Step-by-step explanation:

34/18 =  1   16/18 or  1  8/9

Lets make common denominators and improper fractions: 54

17/9   11/6

102/54   >  99/54

Hope this helps!

Please Quick Will give Brainliest
What is the equation of the line that passes through (-3, -1) and has a slope of ? Put your answer in slope-intercept form.


y = x +
y = x -
y = -x -

Answers

Answer:

y=3/5x -4/5

Step-by-step explanation:

3/5 is the slope so you do 3/5x

-4/5 is negative because the line passes two negative coordinates

Hope this helps!

Plz plz plz help me quickly I’ll give brainlist!!!!!!!!!!

Answers

Answer:

Yeah, I also got 2.4 percent..

Edward hoppers oil painting nighthawks had a length of 60 inches and a width of 30 inches . A print of the original has a length of 2.5 inches. What is the width of the print in inches ?

Answers

Answer: 1.25 in.

Step-by-step explanation: 60:30 (L:W) if you simplify you will get 2:1, but simplify to 1:0.5 for convenience. you’ll multiply both by 2.5 (so you can get the length of 2.5) so now you have 2.5 : 1.25

Width of the print of original oil painting in inches = 1.25 inches

What is ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given,

Length of the original painting = 60 inches

width of the original painting = 30 inches

Ratio of length to width = 60/30 = 2/1

Length of the print of original = 2.5 inches

Width of the print = ?

Ratio of length to width = 2.5/width of print = 2/1

⇒ width of print = 2.5/2

⇒ width of print = 1.25 inches

Hence, 1.25 inches is the width of the print of original painting.

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TIME REMAINING
01:58:43
Which statement is a correct interpretation of the vertical line test?
If only one vertical line intersects the graph at exactly one point, the graph represents a function
If only one vertical line intersects the graph at exactly one point, the graph does not represent a function
If any vertical line can intersect the graph at more than one point, the graph represents a function
If any vertical line can intersect the graph at more than one point, the graph does not represent a function

Answers

Answer:

If only one vertical line intersects the graph at exactly one point, the graph represents a function.

What is 5pi 4 radians in degree

Answers

Answer: 225°

Step-by-step explanation:

To convert radians to degrees, multiply by 180/π (1 rad = 180° )

(5π/4) * (180/π/) = 225°

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