How long will it take an investment to double in value if the interest rate is 6% compounded continuously

Answers

Answer 1

Answer:

11.55 years

Step-by-step explanation:

Formula to calculate the final value when the money is compounded continuously is,

Final value = [tex]\text{(Present value)}.e^{rt}[/tex]

Here 'r' = rate of interest

t = duration for the investment

Let the money invested = $x

We have to find the duration in which the present value gets doubled.

Final value = $2x

Rate of interest = 6% per year ≈ 0.06

By substituting these values in the formula,

[tex]2x=x.e^{0.06t}[/tex]

[tex]2=e^{0.06t}[/tex]

ln(2) = [tex]\text{ln}e^{0.06t}[/tex]

0.693147 = 0.06t

t = 11.55 years

Therefore, invested amount will be doubled in 11.55 years.


Related Questions

There are 24 female performers in a dance recital. The ratio of men to women is 7:8. How many men are in the dance recital?

Answers

I need help to I’m struggling at math

Which equation has the correct sign on the product?
A 45(-4)=180 B 13•3= -39
C (-8)(-8)= -64 D (-18)4 = -72​

Answers

answer:

the answer is a

Answer is D because (-18)4 equals -72.... it’s right.

For the function below, find ordered pairs for: x = -2 and x = 5 y = 9 - 4x

Answers

Answer:

(- 2, 17 ) and (5, - 11 )

Step-by-step explanation:

Given

y = 9 - 4x

Substitute the given values of x into the equation and evaluate for y

x = - 2, then

y = 9 - 4(- 2) = 9 + 8 = 17 ⇒ (- 2, 17 ) ← ordered pair

x = 5, then

y = 9 - 4(5) = 9 - 20 = - 11 ⇒ (5, - 11 ) ← ordered pair

The function
The function g(x) has a slope of —5/6. The value of g (x) is 5 when x is 6. Explain how the graph
of g(x) can be used to find the x-intercept. (2 points)
Item

Answers

You have slope and a point so it should be easy.
Set up equation [y-y1= m(x-x1)]
y-5 = -5/6(x-6)
And simplify.
Y=-5/6x +10

Then to find x intercept, plug in a 0 for y
0=-5/6x+10
-10=-5/6x. Subtract 10 from both sides.
-10/ -5/6 = x. Divide by -5/6 on both sides.

X=12

So the x intercept is 12 or (12,0)


1. Find the value of k.
A. 17
B. 73
C. 118
D. 107

Answers

A i’m pretty sure 62-45

Answer:

Its B

Step-by-step explanation:

you have to add 45 and 62 to get 107 and then subtract 107 from 180

Hope this helps

pls mark brainliest

Determine the expression

Answers

trinomial and i believe its a degree of 4

I need to know for you to Awnser my question


Points and brainlest !!!

Answers

Answer:

id c hot  hf hdjhdw fhwjfehf v;e

Step-by-step explanation:

id c h

Answer:

2/3

Step-by-step explanation:

theres only 4 less than 5 out of 6 so the fractio is 4/6. 4/6 simplified is 2/3

PLEASE HELP PLEASE i really need help

Answers

Answer:

The constant of proportionality is 6 because 6x2=12 6x4=24 6x6=36 and it keep going

Step-by-step explanation:

What is a mutual fund’s

Answers

A pool of money where investors buy shares and a fund manager invests them and gives the investor the return; the way that most Americans invest their money because of the ease. hope that helps!


If the ratio of the length of a rectangle to its width is
9/4 and it’s length is 18 cm, what is the width of the rectangle?

Answers

9514 1404 393

Answer:

  8 cm

Step-by-step explanation:

It is convenient to write the proportion with the unknown (width) on top:

  width/length = 4/9 = w/(18 cm)

Multiplying by 18 cm gives ...

  w = (18 cm)(4/9) = 8 cm

The width of the rectangle is 8 cm.

Answer:

The answer is 8.

Step-by-step explanation:

I did a test with this question on it.

This was the correct answer.

YOUR WELCOME!!! HOPE IT WAS HELPFUL :)

pls solve this and you get the points i'm a lil high right now

Answers

Answer:

solve for V= pier^/3

solve for R=Square root3Vpie over pie

Step-by-step explanation:

V=multiply 1/3(pier^2)

R= Take root of both sides and solve

Answer:

dividing by a fraction (1/3) is equivalent to multiplying by its inverse (3)

3+%2A+v+%2F+%28pi+%2A+r%5E2%29 = h

Step-by-step explanation:

What’s the unit rate for Tegan?

Answers

Answer:

The unit rate is 16

The unit rate is 16 I think

You start an account with $2,500 and an annual interest rate of 6.5% compounded yearly. How much is in the account after 7 years?

I need an expression and a solution​

Answers

I'm pretty sure it's this:

Answer:

y=a( 1+  r/n)^ nt

growth is a= 2500     yearly is n= 1

y= 2500( 1+ .065/1)^ 1.7  =   $3884.97

                                 

-3- 2 1/3 please help me out

Answers

Answer:-2/3

-3-2 1/3

which is also

-3 -7/3

which is also

-9/3-7/3

which is

-2/3

The difference is -5 1/3

In March it rained 8.23 inches. It rained 5.96 inches less in April than in March.
How much did it rain in April?

Answers

It rained 2.27 inches in April.

Help me pleaseeeeeeeeeeeeeeeeee

Answers

Answer:A. 4 13/24Hope this helps!!
The answer is 4 13/24


18
=
4
Convert the improper fraction to a mixed number.

Answers

Answer:

[tex]4\frac{1}{2}[/tex]

Step-by-step explanation:

In order to find the answer to this question you have to divide the numerator by the denominator.

[tex]\frac{18}{4}[/tex]

[tex]4\times4=16[/tex]

[tex]18\div4=4^2[/tex]

[tex]4\frac{2}{4}[/tex]

Reduce:

[tex]2\div2=1[/tex]

[tex]4\div2=2[/tex]

[tex]=4\frac{1}{2}[/tex]

Hope this helps.

Xavier's car used 4 gallons to travel 152 miles. How many miles can the car go
on one gallon of gas?

Answers

Answer:

1 gallon of gas= 38 miles

Step-by-step explanation:

152÷4= 38.

11. Find the product of (4x-5) and (2x+7) in simplest form.

Answers

8x^2 + 18x - 35


(4x - 5)(2x + 7)

8x^2 + 28x - 10x - 35

8x^2 + 18x - 35

Which ordered pair is a solution to the equation below? 3x + 2y = 10
Question 1 options:

(4, 0)

(6, -4)

(-1, 4)

Answers

Answer:

(6,-4)

Step-by-step explanation:

I have tried replacing each option with x, y in the equation.

Let's replace (6, -4) with x and y

3x+2y=10

3(6)+2(-4)=10

3(6)= 18 2(-4)= -8

18+(-8)=10

in other words:

18-8=10

The statement is true, so the correct answer is:

(6, -4)

#13 Easton is planning on buying a new pair of cowboy boots. When he
went to Eastern Outfitters last week they costs $60 on the black Friday
sale. This week, they aren't on sale anymore and they cost $85. What is the
percent of change on the boots? *
O 25%
O 45%
O 55%
75%

Answers

It will be 25%

Step-by-step explanation:

Step 1:Choose the lowest common denominator

Find the sum of 1/5 and 7/10

The expression written in equation from with common denominator is______

The sum is___​

Answers

Answer:

-6/8 +5/8 and -1/8

Step-by-step explanation:

just got done doing it.

a nursery sells kentucky bluegrass seed for $5.75 per pound and tall fescue seed for $4.50 per pound. the nursery sells a mixture of the two kinds of seed for $5.25 per pound. let k represent the amount of kentucky blue grass seed the nusery uses in in 5 pounds of the mixture

Answers

Answer:

[tex]k=3[/tex]

Step-by-step explanation:

Given that:

Per pound cost of kentucky bluegrass seed = $5.75

Per pound cost of tall fescue seed = $4.50

Per pound cost of mixture of seeds = $5.25

[tex]k[/tex] is the amount of kentucky blue grass.

Total amount of the mixture = 5 pounds

Therefore, amount of tall fescue seed = (5 - [tex]k[/tex]) pounds

To find:

The value of [tex]k[/tex].

Cost of [tex]k[/tex] pounds of kentucky bluegrass seed = [tex]\$5.75k[/tex]

Cost of (5 - [tex]k[/tex]) pounds of tall fescue seed = [tex]\$(5-k)4.50[/tex]

As per question statement:

[tex]5.75k+(5-k)4.50=5.25\times 5\\\Rightarrow 575k+5\times 450 -450k=525\times5\\\Rightarrow 125k=75\times5\\\Rightarrow k =3\ pounds[/tex]

Amount of kentucky blue grass seed used = 3 pounds

Amount of tall fescue seed used = 5-3 = 2 pounds

.
Determine the value of each of the following expressions

a.
25+310


b.
56−13


c.
45×78


d.
67÷34

Answers

a. 515
b. 43
c. 3510
d. 1.9705

it takes Molly 0.25 hours to drive to school. her route is 16 km long. what is Molly's average speed on her drive to school?​

Answers

Answer:

64

Step-by-step explanation:

16 divided by 0.25 gives you 64 .... welcome

Answer:

64 km/h

I answered it correctly on a mid term

What is the value of f(0)?

A. -2
B.-1
C.0
D.1

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

f(0) means the graph of f(x) in which the value of the variable x in the function f is zero.. So, f(0) represents graph for zero value of x

which equation is equivalent?

Answers

Answer:

C

Step-by-step explanation:

10x-12
3*2x=6x
3*-4=-12
4x+6x=10x

13. What is the value of x?
t
(2x +40)
(x +90°
С
D
A. 25
B. 50
C. 75
D. 85

Answers

9514 1404 393

Answer:

  B.  50

Step-by-step explanation:

The alternate interior angles at transversal t across parallel lines AB and CD will be congruent.

  2x +40 = x +90

  x = 50 . . . . . . . . . . . subtract x+40

The value of x is 50.

_____

Check

2x+40 = 2×50 +40 = 140

x+90 = 50 +90 = 140 . . . . so the obtuse angles are congruent, as they should be

___

Additional comment

The lines AB and CD are not shown as being parallel. We have to assume they are, or we cannot work the problem.

Find the measures of Angles A,B, and C

Answers

Answer:

A = 102   B = 78   C = 56

Step-by-step explanation:

All three sides of a triangle added up equals 180.

So 41 + 37 + A = 180

A = 102

A straight line = 180 degrees.

One measurement is 102, so the other is 78.

You now know B is 78, and that 3 angles equal 180.

46 + 78 + c = 180

c= 56

Lara created a 15-pound platter of three different types of cookies for a banquet. The peanut butter cookies sell for $2 per pound, the sugar cookies sell for $3 and the chocolate chip cookies sell for $3.60 per pound. The entire platter is worth $40. The quantity of peanut butter cookies was 3 more than chocolate chips. How many pounds of each cookie was there. Answered with a chart.

Answers

Answer:

i need a bad bleep

Step-by-step explanation:

addison rae

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