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 value ???????
Help!

Answers

Answer:

please give brainiest

thank you

Answer:

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

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 :)

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

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

Answers

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


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

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:

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

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

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.

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

Answers

Slope is 0.75 or 3/4 I believe!

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

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}

What is the measure of arc DEF?​

Answers

Answer:

c

Step-by-step explanation:

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.

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:

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]

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

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

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.

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

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 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.

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

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

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!

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

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:

PLEASEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

the answer is rhombus

Answer:

rhombus

Step-by-step explanation:

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

Answers

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

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

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