Compound interest of $1000 is invested at 10% compounded continuously, the future value s at any time t in years is given by s=1000 e^0.1t how log before the investment doubles?

Answers

Answer 1

Answer: 6.93 years

Step-by-step explanation:

Given

Rate of interest is [tex]r=10\%[/tex]

Future value is given by [tex]s=1000e^{0.1t}[/tex]

For the investment to double itself, i.e. [tex]s=2000[/tex]

[tex]\Rightarrow 2000=1000e^{0.1t}\\\Rightarrow 2=e^{0.1t}\\\\\text{Taking log both sides}\\\\\Rightarrow \ln 2=0.1t\\\\\Rightarrow t=\dfrac{\ln 2}{0.1}\\\\\Rightarrow t=6.93\ \text{years}[/tex]

It takes around 6.93 years to double the investment.


Related Questions

What is the measure of arc DEF?​

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Answer:

c

Step-by-step explanation:

Math. please help. .....................​

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Answer:

10.1

Step-by-step explanation:

nearest possible answer

Answer:

AC=10.1

Step-by-step explanation:

2accosB=a²+c²-b²

2×7×13cos 50=7²+13²-AC²

182cos50=49+169-AC²

AC²=218-182 cos50

AC=√(218-182 cos 50)≈10.0505≈10.1

list all of the elements of the set (multiples of 4 less than 20)

Answers

Answer:

A(4,8,12,16) is the answer

What are the domain and range of the function f(x)= x+5?

Answers

Answer:

top answer, domain and range have no restrictions

Step-by-step explanation:

PLZZZ HELP WORTH 100 POINTS
A pair of equations is shown below: y = 2x − 1 y = 4x − 5
Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations.
Part B: What is the solution to the pair of equations?

Answers

Answer: its 7 lol i dont know

Step-by-step explanation:

URGENT PLEASE HELP ASAP WILL GIVE BRAINLIEST!!!!!!!!!!!

Answers

Slope is 0.75 or 3/4 I believe!

Nicole buys a meal in a town with a 9% sales tax. She tips 17% on the bill before adding the sales tax. She pays a total of $15.30. What should be the original cost of her meal?​

Answers

Answer:

17/100×15.30=2.60

9/100×15.30=1.37

15.30-(1.37+2.60)=11.33

What is the value ???????
Help!

Answers

Answer:

please give brainiest

thank you

Answer:

Its 16 (-1/2)^-4=16 then

PLEASEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

the answer is rhombus

Answer:

rhombus

Step-by-step explanation:


PLEASE HELP LIKE RIGHT NOW LOL

Identify all expressions equivalent to 3.8-2-1.
4
0 6₃3
-1 + 3
3
4.5-1
3
•8+1
4.

Answers

Answer:

It's definitely not the first one or the second one, not sure about the third one but the last one is equivalent to it.

3/4 x . 8 = 6

2-1=1

Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.

Find measure of angles B, E, D and C and the length of BC.

Answers

Answer:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

Math question part 2 please help

Answers

Answer:

471 cm

Step-by-step explanation:

here diameter of the circle is 150cm, and we know radius is half of diameter.

therefore r = 150/2

= 75

Now,

according to formula,

Circumference of circle = 2πr

= 2 x 3.14 x 75

= 471 cm

If triangle ABC is similar to triangle PQR, which equation is true?
AB/PO = 1
AB = PO
AB/PO = BC/QR
AB /PO = QR/BC

Answers

Answer:

AB/ PQ = BC/QR

Step-by-step explanation:

In similar triangles, ratio of corresponding sides are equal.

So, [tex]\frac{AB}{PQ}= \frac{BC}{QR}=\frac{AC}{PR}[/tex]

Which interval or union of intervals represents the values for which ​f(x)​ is ≤ 0? Select the correct choice below and fill in the answer boxes to complete your choice.

Answers

Answer:

(-∞, -1]∪{5}

Step-by-step explanation:

We know that:

f(x) ≤ 0 is true if the graph of the function is intersecting the x-axis or below the x-axis.

So we can just look at the graph, we can see that in the interval:

(-∞, -1]   (the value x = -1 is included, that is why we use the symbol ] instead of the parenthesis)

the graph is below or intersecting the x-axis

and this also happens at x = 5 or just denoted as {5}

Then the correct notation is:

(-∞, -1]∪{5}

simplify the complex fraction.

Answers

Answer: 2/5

Step-by-step explanation:

14/6 - 15/6 divided -5/12

-1/6 / -5/12

2/5

hope this helps!

What is the radius of a circle with a diameter of 6 meters

Answers

3 meters
radius = d/2

Hope this helps ;)

Answer:

the radius is 3 m

Step-by-step explanation:

the radius of a circle is always one half of the diameter.

Here the diameter is 6 m, so the radius is 3 m.

What are the x-intercepts of the equation y=4x^2-16

Answers

Answer:

x = ± 2

Step-by-step explanation:

To find the x- intercepts let y = 0 , that is

4x² - 16 = 0 (add 16 to both sides )

4x² = 16 ( divide both sides by 4 )

x² = 4 ( take the square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2

The x- intercepts are x = - 2 and x = 2

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Find sin (B) in the triangle.
A) 4/3
B) 3/5
C) 3/4
D) 4/5​

Answers

Answer:

D) 4/5 that's the answer

PLEASE HELP ME PLS!!!!!!!!!

Answers

A. 14 ft
B. 4 seconds
C. 9.25 seconds

Bob's Hardware sells buckets in five different sizes. The tiny bucket holds 5
quarts, the small holds 10 quarts, the medium holds 20 quarts, and the large
holds 40 quarts. How many quarts will the extra-large bucket hold?
A. 80 quarts
B. 90 quarts
C. 60 quarts
D. 50 quarts
SUBMIT

Answers

Answer:

C. 60

Step-by-step explanation:

it's counting times 2

5 There are 150 men and 250 women in a crowd.
a What fraction of the crowd are men?
Write your answer in its simplest possible form.
b The ratio of married women to unmarried women is 3 to 2.
How many married women are in the crowd?
C More men arrive. The number of men increases by 20%.
How many men are in the crowd now?
d Some of the women leave.
There are now 60 women in the crowd.
What percentage of the women leave?

Answers

A: 150/400 (400 is the total men +women) simplifies to 3/8 which is the answer

Answer:

men=150

women=250

total=400

Step-by-step explanation:

a) fraction of men

men/total=150/400=15/40

men/total =3/8

b)let married be x

so unmarried wil be 250-x

married/unmarried=3/2

x / 250-x =3/2

x =3(250-x)/2

2x =750-3x

5x=750

x=750/5

x =150

married =150

unmarried=250-150=100

c)20% of men will be :20x150

100

: 30

no of men =150+20%

=150+30

=180

d)no. of women decreased=250-60

=190

percentage of women leaved=% x 250

100

190x100/250=%

76 =%

76% women leaved

It took too much time

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

DO FOLOW

A dealer paid $7,000 for a car at an auction. At the dealership, a salesperson sold the car for 30% more than the auction price. The salesperson received a commission of 25% of the difference between auction price and the dealership price. What was the sales person’s commission?

Answers

30% of $7000 is $2100
25% of $2100 is $525

Help pls, I’m confused

Answers

Answer:

(x + y)² = 25

Step-by-step explanation:

The expansion of (x + y)² is

(x + y)² = x² + y² + 2xy ← substitute x² + y² = 15 and xy = 5

           = 15 + 2(5)

           = 15 + 10

           = 25

Find the missing angle measurements of LJK ? , fill in the boxes

Answers

Answer:

Angle LJK = 75 degrees

Step-by-step explanation:

Here, we want to fill the boxes

From the diagram;

angle HJL and LJK are supplementary (they add up to 180 degrees)

Angle HJL + Angle LJK = 180

angle LJK = 180-105

Angle LJK = 75 degrees

Here Tran posted it

Answers

Step-by-step explanation:

1. I estimate that the error in measuring the area of the lot is about 10% so we write the area as 400 sq ft +- 10%, which means that the lot can be as small as 360 sq ft or as large as 440 sq ft. We tack on 15% more on the number of pieces of sod to account of the plot's irregularities. Since each piece of sod is 2 sq ft, the number of pieces we must get is 440/2 = 220 pieces +- 15% or 253 pieces

2. The nominal value is jus the average weight which is 59.5 g. The tolerance is (3.5g/59.5g)×100% = 5.88% and the measurement range is from 56g to 63g.

What are the characteristics of the graph of the inequality x ≥ -2? The ray will move to the left. The ray will move to the right. It will use an open circle. It will use a closed circle.(multiple answers) ​

Answers

Answer:

Step-by-step explanation:

The inequality x ≥ -2 is graphed on a number line.  -2 is the smallest possible value.  All subsequent values are larger and therefore lie to the right of -2.

Thus, the following are true:

1.  The ray will move to the right (because x begins at -2 and increases, which means moving to the right on the number line).

2.  It will use a closed circle (because x = -2 is part of the solution set).

Answer: The ray will move to the right and it will be a closed circle.

value expression of 3^5 / 3^3

Answers

Answer:

9

Step-by-step explanation:

3^5 = 243

3^3 = 27

243 / 27 = 9

Hope this helps :)

If 3x-5=4,find the value of x​

Answers

Answer:

x=3

Step-by-step explanation:

3x-5=4

3x=4+5

3x=9

x=9/3

x=3

given the similar triangles at the left, identify the scale factor.

PLEASE HELPPPPPPPPPPPP

Answers

The scale factor is 1/3.

To find this scale factor, choose a set of sides to compare lengths. For example, taking the left sides of the triangles, which is 9 and 3. 9 is 3 times bigger than the triangle on the right, so that gives us the scale factor of 1/3.

Find the measure of y, round to the nearest tenth

Answers

Answer:

y = 8

Step-by-step explanation:

cos = adj/hyp

cos30 = 4√3 / y

y = 4√3 / cos30

y = 6.928203230275509 / 0.866025403784439

y = 8

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