How long does it take for an investment to double its value if the interest is 7.25%
compounded continuously?

How Long Does It Take For An Investment To Double Its Value If The Interest Is 7.25%compounded Continuously?

Answers

Answer 1

Answer: 9.9 years

Step-by-step explanation:

We have an interest of 7.25%, compounded continuously, we can write this as:

P = A*e^(r*n)

where:

P is the total balance after n years.

A is the initial investment.

r is the ratio of increase, in the case of a continuous compound, this will be:

r = Ln(1 + 7.25%/100%) = Ln(1 + 0.0725) = 0.070

n is the time in years.

Then we want to have our initial investement doubled, this means:

P = 2*A

let's find n for this situation:

P = 2*A = A*e^(0.070*n)

     2 = e^(0.070*n)

Now we can apply the Ln() to both sides, remember that:

Ln(e^x) = x

Then:

 2 = e^(0.070*n)

Ln(2) = Ln(e^(0.070*n)) = 0.070*n

Ln(2)/0.070 = 9.9

So we need 9.9 years to double the initial investment.


Related Questions

What is the slope of the line that passes through (2,12) and (4,20)
A- -2
B-2
C- -4
D-4

Answers

Answer:

D. 4

Step-by-step explanation:

Use rise over run, (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(20 - 12) / (4 - 2)

8 / 2

= 4

So, the slope is 4.

please help on this question!!!!

Answers

Dude I forgot most of this. But I want to help so here’s what I got?

So parallel lines should add up to 180 degrees

And the other side is 106

180-106=74 degrees

So I think the answer is 74 degrees

In this graph the y-intercept of the line is (Blank). The equation of the line is y=(Blank) x (Blank) .​

Answers

Answer:

In the graph, the y-intercept is -2. The equation of the line is [tex] y = x - 2 [/tex]

Step-by-step explanation:

The equation of the line can be written in the slope-intercept form, y = mx + b.

First we need to find:

The slope = m

the y-intercept = b

Using two points on the line, (0, -2) and (2, 0) the slope can be calculated as follows:

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-2)}{2 - 0} = \frac{2}{2} = 1 [/tex]

The y-intercept is simply the point at which the line intercepts the y-axis. It is the value of y when x = 0.

Therefore, the y-intercept, b, = -2.

Substitute m = 1 and b = -2 into [tex] y = mx + b [/tex].

Thus, the equation if the line would be:

[tex] y = (1)(x) + (-2) [/tex]

[tex] y = x - 2 [/tex]

A linear function is written:
f(x) = 3/2x-4
What is the value of f(5)?

Answers

Answer:

[tex]f(5)=3.5[/tex]

Step-by-step explanation:

[tex]f(x)=\frac{3}{2}x-4\\f(5)=\frac{3}{2}(5)-4\\f(5)=7.5-4\\f(5)=3.5[/tex]

Hope this helped!! Have an amazing day :D

The required value of the linear function at x = 5 is 7 / 2.

Given that, a linear function f(x) = 3/2x-4 we have to determine the value of the function at x = 5 that is f(5).

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Liner function,
f(x) = 3/2x-4
Put x = 5 in above function,
f(5) = 3 * 5 / 2 - 4
f(5) = 15 / 2 - 4
f(5) = 15 - 8 / 2
f(5) = 7 / 2

Thus, the required value of the linear function at x = 5 is 7 / 2.

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help asap plspls !! :)

Answers

Answer:

-5 1/3

Step-by-step explanation:

This is how it should be shown

what is the best partial quotient to 296dividedby4

Answers

264 divided by 4= 66

9. The expression x(x-7)+4(x-7) is equivalent to each of the following except which choice?
(1) (x+4)(x-7)
(3) x2-28
(2) x2 – 3x – 28
(4) (x-7)(x+4)

Answers

Answer:

I the answer is number 3

x(x-7)+4(x-7)

x²-7x + 4x-28

=x²-3x-28

(x+4)(x-7)

x²-7x+4x-28

=x²-3x-28

(x-7)(x+4)

x²+4x-7x-28

=x²-3x-28

x2 – 3x – 28

the factored form is

=(x+4)(x-7)

Bob has a coin collection made up of pennies and nickels. If he has three times as many pennies as nickels and the total face value of the coins is $416, how many coins of each kind are in the collection?

Answers

Answer:

I think its 15600..

Step-by-step explanation:

Find the Surface Area:
Of the picture below


6cm
3 cm
3 cm
2 cm

Answers

Answer:

72 cm^2 OR 72 sq cm.

Step-by-step explanation:

6 x 5 = 30

10 x 3 = 30

2 x 6 = 12

30 + 30 + 12 = 72

Sorry, i don't exactly know how to explain it without drawing it. But i assure you it is correct.

what does x equal in the equation f(x)=17

Answers

The answer is this equation
X=0
X would equal 0


........

How many gallons of 40% antifreeze should be mixed with 10 gallons of 80% antifreeze to obtain a 65% antifreeze mixture?

Answers

Equation:

alcohol + alcohol = alcohol

0.40x + 0.85*10 = 0.65(x+10)

----

40x + 85*10 = 65x + 65*10

20*10 = 15x

-----

x = (2/3)20

---

x = 13 1/3 gallons (amt. of 40% solution needed)

Would you rather
buy...
Option A
8 pound jug of ice
cream for
$24.56
Option B
Two 3 pound 11 ounce
jugs of ice cream for
$23.60
or...

Answers

Answer:

option A sounds like a better deal if that's what your asking.

use first principle tan(3x-4)​

Answers

Answer: m=3

Step-by-step explanation:

15. Construct Arguments Maggie said that
she could add 8 to both sides of any
equation and the expressions on both sides
of the equation would still be equal. Do you
agree? Explain.

Answers

Answer:

I do not agree because if there is an equation like 7+8 the answers would not be equal. They can only be equal if you add 8 to each side of the same number. For example, 7+7 with 8 added on both sides would be equal. But Maggie says that it can be equal for any equation. Therefore, Maggie is wrong.

Step-by-step explanation:

Which is the graph of the line y − 2 = 3(x − 1)?

Answers

Answer:

d i have this ? to so thats how ik

Step-by-step explanation:

so the problem is y-2=3(x-1)

in this problem you have to rmb the forumla

y-y1=m(x-x1)

to find the points

so in the equation -1 would be x1 thats one point but you turn the -1 into a postive one dont know why thats just what my tutor said

so know you know one of the points (1,

to find the other you have to seaarch for y1 which from using the forumla you would know is -2 but you have to turn it in to a postive

This actually the answer for a deff problem but if you got the problem thats asking for which quarterpoints then this is it

so the points are (1 , 2)

The equation of a line in slope-intercept form is expressed as y = mx + b

m is the slope of the line

b is the y-intercept

Given the equation y − 2 = 3(x − 1), express in the form y = mx + b

y - 2 = 3x - 3

y = 3x - 3 + 2

y = 3x - 1

Graph the equation y = 3x - 1 as shown:

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Determine whether the following relation represents a function.
{(-9,8), (-2,1), (-7,5), (-4,3), (-8,2)}​

Answers

Answer:

yes

Step-by-step explanation:

Each input value only goes to one output value so the relation is a function

The domain isn't repetitive so it's function.

Domain of Relation is {-9,-2,-7,-5,-4,-8}. There are no same domains or repetitive so It's a function.

Natalie reads for 68 hour on 6 days each week.

How many hours does Natalie read each week?

Enter your answer by filling in the boxes.

Answers

Answer:

Multiply the time per day by the number of days per week.

6/8 x 6 = (6 x 6)/8 = 36/8 = 4 1/2 hours a week.

Step-by-step explanation:

What is the value of 6a + 2b if a = 1 and b = 2?

Answers

Answer:

3a + 2b ; a=1, b =-2

3

(

1

)

+

2

(

2

)

(substitute the values of the variables)

From here on, it's just a matter of condensing down the numbers. Very straightforward, and easy points on tests and quizzes. You can do this in your head if you want, or you can just do it on your calculator (which is probably the best way to go as it's faster and more accurate).

3

+

(

4

)

(simplify)

3

4

=

1

So here, what we've proven is that in our given equation, if

a

=

1

and

b

=

2

, then it would yield us a product of

1

.

Once again, these types of evaluation problems are very straightforward, and are usually always easy points on tests and quizzes if you have an inkling of an idea of what the concept is about. Again, if you have a calculator with all the appropriate functions, that makes it even easier.

Try another:

6

a

2

b

+

8

with a = 1 and b = 3

6

(

1

)

2

(

3

)

+

8

6 - 3 + 8

= 11

Just as a sidenote here, make sure you're aware of the difference between

(

6

x

)

2

and

6

x

2

. The former refers to both the 6 and the

x

being squared, whereas the latter shows only the

x

being squared. Just be careful not to mix the two.

Try one more:

2

c

5

3

b

+

4

with b = 2 and c = 4

2

(

4

)

5

3

(

2

)

+

4

=

8

5

6

+

4

=

3

10

(or 0.3)

Speaking from experience, when you work with rational (fraction) polynomials on paper, it often tends to take up a bit of space and get messy. Therefore, I'd suggest you tried solving one equation at a time if you have the same issue.

Also, sometimes you may come across values that you don't want to type again in your calculator (like non-recurring decimals). For these, use the store function on your calculator to get maximum accuracy. With TI-84 and 83s, you can save values as letters (X, Y, etc.). Hence, you can just write out your equation using these, and hence significantly reduce the risk of typing the number wrong, while saving yourself some time.

Step-by-step explanation:

Answer:

The answer is 10

Step-by-step explanation:

6a + 2b

6(1)+2(2)

6+4

=10

10) Christopher misses 4% of the free throws
he attempts in a season. How many total
free throws did he attempt if he missed 9?

Answers

Answer:

He attempted 225 free throws.

Step-by-step explanation:

9/0.04= 225

Different machines pack boxes. Which ratio represents each of the machines?

Answers

Answer:

HI

Step-by-step explanation:

An airplane travels 5152 kilometers against the wind in 7 hours and 6552 kilometers with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind?

Answers

6552: 7=936 km/h in still air. 6552-5152:7=6552-736=5816 km/h rate of the wind

Sonya just turned 21 years old and will soon begin her junior year of college in
the fall. Money that she is saving for which of these purposes is not good to
put in a savings bond?
A. A down payment on a house in 10 years
B. This month's electric bill
C. Her retirement
D. College tuition for her future children
SUBMIT

Answers

Answer:

this months electric bill

Step-by-step explanation:

Rewrite each equation 5x – 4y = 6

Answers

Step-by-step explanation:

5x-4y=6.....eqn.1

or,5x=6+4y

or,x=6+4y/5....eqn.2

from eqn.1..5(6+4y/5)-4y=6

or,6+4y=6

:y=0 ans..

frm eqn.2

:x=6+0\5

:x=6/5 ans..

Mega Melt's food truck is known for their grilled cheese sandwiches. Yesterday, they made 56 grilled cheese sandwiches in 2 hours. Today, Mega Melt will be open for 3 hours.
If they make the grilled cheese sandwiches at the same rate, how many of them will Mega Melt's food truck make today?

Answers

Answer:

84

Step-by-step explanation:

56 ÷ 2 ≡ 28

28 × 3 ≡ 84  

Mega Melt's food truck can make 84 grilled sandwiches in 3 hours today.

Given that, yesterday, Mega Melt's food truck made 56 grilled cheese sandwiches in 2 hours.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here,

The number of sandwiches grilled in 1 hour = Total number of sandwiches grilled/Number of hours

= 56/2

= 28

Number of sandwiches grilled in 3 hour = 28×3

= 84

Therefore, Mega Melt's food truck can make 84 grilled sandwiches in 3 hours today.

To learn more about the unitary method visit:

brainly.com/question/22056199.

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Jennifer is renting a bicycle to ride along the beachfront. The rental charges include a fixed charge of $3 and an additional cost of $1.75 per hour. Which equation represents the total rental charges for the bicycle, T, if Jennifer rents it for n hours?

Answers

Answer:

y = 1.75n + 3

Step-by-step explanation:

Answer:

1.75+3=t

Step-by-step explanation:


The volume of a right circular cone is 300 cubic inches. What is the volume, in cubic inches, of a right cylinder that
has the same base and height as the cone?

Answers

Answer:

The volume of a right cylinder is equal to the 3 times of the volume of a right circular cone.

Step-by-step explanation:

Given that,

The volume of a right circular cone is 300 cubic inches

We need to find the volume of a  right cylinder that  has the same base and height as the cone.

Volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

And volume of a cylinder is given by :

[tex]V'=\pi r'^2 h'[/tex]

If the base and height of cone and cylinder are same, r=r' and h=h'

[tex]\dfrac{V}{V'}=\dfrac{1/3\pi r^2 h}{\pi r'^2h'}\\\\=\dfrac{1/3\pi r^2 h}{\pi r^2h}\\\\\dfrac{V}{V'}=\dfrac{1}{3}\\\\V'=3V[/tex]

So, the volume of a right cylinder is equal to the 3 times of the volume of a right circular cone.

if x is 12% of 180, then what is the value of 7x ?

Answers

Answer:

7uby-step explanation:

Who can access your credit report?
a friends
b. employers
c. neighbors
d. teachers
Please select the best answer from the choices provided.
Ο Α
С В
ОС
D

Answers

This answer would be B

Answer:

B) employers

Step-by-step explanation:

EDGE 2021

In which of the following situations would using the Pythagorean theorem be helpful?
a contractor wanting to determine how high to build a staircase
a contractor wanting to determine if a corner is square
an architect wanting to determine how high a roof should be
an architect wanting to determine a stair railing height

Answers

Answer:

A

Step-by-step explanation:

Cherry is a realtor. She made the graph below to show the amount of taxes paid on the houses she has sold. Which of the following describes the rate at which the taxes changed?

It increased by $3 for every $2 increase in appraised value.
It increased by $200,000 for every $3,000 increase in appraised value.
It increased by $3,000 for every $200,000 increase in appraised value.
It increased by $3,000 for every $2,000 increase in appraised value.

Answers

it increased by 3000$ for every 200,000$ increased in appraised value. Hope this helps❤️please rate
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