Suppose that Mark deposits $4,000 per year into an account that has a 5.5% annual interest rate compounded continuously. Assume a continuous money flow, then it takes years for the account to be worth $200,000. (Round the answer to an integer at the last step.)

Answers

Answer 1

Answer:

[tex]t=24yrs[/tex]

Step-by-step explanation:

From the question we are told that:

Principle [tex]P=\$4000[/tex]

Interest [tex]r=5.5\%[/tex]

Final Value [tex]X=\$200000[/tex]

Generally the equation Time is mathematically given by

 [tex]X=P *e^{r*t}\int^t_0 e^{r*t} dt[/tex]

 [tex]200000=4000 *e^{0.055*t}\int^t_0 e^{0.055*t} dt[/tex]

 [tex]200000=4000* \frac{e^{0.055*t}-1}{0.055}[/tex]

 [tex]e^{0.055*t}=\frac{15}{4}[/tex]

 [tex]e^{0.055*t}=3.75[/tex]

 [tex]0.055t=ln3.75[/tex]

 [tex]t=24.03[/tex]

Therefore the number of years it takes years for the account to be worth $200,000.

[tex]t=24yrs[/tex]


Related Questions

The price of a jacket is discounted 20%. The original price of the jacket was $60. What is the discounted price of
the jacket?

Answers

Answer:

48

Step-by-step explanation:

20% of 60 is 12. You subtract 12 from 60, to get the discounted price.

30 PTS
WILL MARK BRAINLYIST

Whale watching tours out of Boston harbor are very popular. Ship A is 10 miles east of ship B. Ship A spots
a whale on a at an angle of 40 °South of West. Ship B spots the same whale on a 30° South of East How far
is the whale from Ship A? Draw a large neat diagram-which includes all given information and any variable
you will solve for.

Answers

Answer:

You need us to draw a diagram or say wether it is from ship A or not only?

Does the quadratic function
y = 3x2 + 7x - 8
have one, two or no real zeros?
Utilize the quadratic formula to
determine the answer.
[?] real zeros

Answers

Answer:

Two real roots

Step-by-step explanation:

The portion of the quadratic formula that determines the number of roots is

b² - 4ac

If it's positve there are two real roots

If it's zero there is one real root

If it's negative there are no real roots

------------------------------

b² - 4ac = 7² - 4(3)(-8)

b² - 4ac =  49 + 96

b² - 4ac =  145

Two real roots since 145 is positive

The quadratic equation has two real zeroes

What is quadratic equations?

The polynomial equations of degree two in one variable of type f(x) = ax2 + bx + c = 0 and with a, b, c, and R R and a 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" for the absolute term of f. (x). The roots of the quadratic equation are the values of x that fulfill the equation (, ).

It is a given that the quadratic equation has two roots. Roots might have either a real or imaginary nature.

What is quadratic formlua?

D=b²-4ac

x=(-b±√(b²-4ac))/2a

y = 3x² + 7x - 8

On comparing with ax²+bx+c, we get

a=3, b=7 and c=-8

Using Quadratic formula

D=b²-4ac

   =7²+4x3x8

   =49+96

     =145>0

Hence it has real zeroes

Learn more about Quadratic equation,

https://brainly.com/question/776122

#SPJ2

The formula to find the final velocity , v , of an object having an initial velocity , u , and acceleration , a , at time t is v=u+at

A.Rearrange the formula to find the acceleration

B. Using the formula in part A describe the relationship between the acceleration and time for a given initial and final velocity

Answers

Step-by-step explanation:

The formula to find the final velocity, v of an object having an initial velocity , u , and acceleration , a , at time t is v=u+at

(a) v=u+at

Subtract u from both sides,

v-u=u+at-u

v-u=at

Dividing both sides by t.

[tex]a=\dfrac{v-u}{t}[/tex]

(b) The relationship between the acceleration and time for a given initial and final velocity is given by "

[tex]s=ut+\dfrac{1}{2}at^2[/tex]

Where

s is the distance covered

t is the time

Hence, this is the required solution.

Rene and Zoe had a frog-jumping contest. The distance Rene's frog jumped, in millimeters, is shown on the number line below. Rene's Zoe's 0 225 mm ? About how far did Zoe's frog jump? 0 350 millimeters O 550 millimeters O 750 millimeters O 850 millimeters​

Answers

Answer:

850 millimeaters

explanation:

In the figure below, points A, B, and C are ______ points because they lie on the same line.

Answers

Answer:

A, B, C are Collinear points

Step-by-step explanation:

1. A ticket to a theme park costs £35 plus 20% VAT.
Work out the total cost of the ticket.

Answers

Answer: 42€

How do you find this answer?

Look.

(35/100).20 =7€ =VAT

7€ + 35€ =42€

Good Luckly

Jennifer has 84.5 yards of fabric to make curtains for her new house. She made
identical curtains and has 19.7 yards of fabric left over.
How many yards of fabric does Jennifer use for each curtain?

Answers

Answer:

64.8

Step-by-step explanation:

84.5 - 19.7 = 64.8

PLEASE HELP MEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

100,000

Step-by-step explanation:

100,000 x 2 is 200,000

The answer is 100,000. 100,000 x 2 is 200,000

A spinner is equally divided into three equal sectors and marked 2, 3, and 5. Five number cards are labeled 1, 1, 2, 3, and 4. Mike spins the spinner and draws a card randomly.
a) Use a possibility diagram to find the probability that Mike gets a zero when he subtracts the number on the spinner from the number on the card.
b)
Use a possibility diagram to find the probability that the product of the two resulting numbers is odd.
c)
What is the probability that the product of the two resulting numbers is at least 12

Answers

Answer:

2/15 ; 6/15 ; 1/5

Step-by-step explanation:

Number on spinner = (2, 3, 5)

Number on card = (1, 1, 2, 3, 4)

____ 2 ___ 3 ____ 5

1__1, 2 __ 1, 3 ___1, 5

1__1, 2 __ 1, 3 ___1, 5

2_ 2,2___2,3 ___2,5

3_ 3,2 __ 3,3 ___3,5

4_ 4,2 __ 4,3 ___4,5

1.)

To get a difference of 0:

{(2,2) ; (3,3)} = 2

Total possible outcomes = sample space = 15

P(difference of 0) = 2 / 15

2.)

Product of 2 resulting numbers is odd:

{(1,3) ; (1,5) ; (1,3) ; (1,5) ; (3,3) ; (3,5)} = 6

Total possible outcomes = 15

P(product is odd) = 6 /15

3.)

Product is atleast 12 :

{(3,5) ; (4,3) ; (4,5)} = 3

Total possible outcomes = 15

P(product is atleast 12) = 3/15 = 1/5

how do I solve x and y

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

If I get x=1 that means the equation has ______ solution(s) One solution. No solution. Infinite solutions

Answers

Answer:

Solve the first equation. Solve the second equation. If we substitute these two solutions back to the original equation, the results are positive answers and can never be equal to negative one. The answer is no solution.

Step-by-step explanation:

There are 15 boys and 5 girls in a class.
The mean amount of time of finishing a test was 45 minutes for the boys and 55
minutes for the girls.
What was the mean of the class?
Give your answer in minutes to one decimal place.

Answers

Answer: 50.0

Step-by-step explanation:

1. Add 45+55=100

2. Divide 100 by 2 =50

3. Add a decimal after 50.0

just do it! reeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Step-by-step explanation:

The qnswer is 3 itself i mean 2/3.

Answer:2/3

Step-by-step explanation:

Find the value of x.

Answers

Straight line: supplementary
Supplementary is sum of 180 degrees
x + 96 + 5x = 180 degrees
6x + 96 = 180
6x = 84, x = 14

Solution: x = 14

Answer:

x = 14

Step-by-step explanation:

Hope that will help you

consider the following exam scores from a class of 8 students


55,65,77,79,84,89.91,99


What is the rank of the student that scored a 77 on the exam?

Answers

Answer:

rank 6

Step-by-step explanation:

To estimate the average salary among people in a certain district, a marketing team obtains a simple random sample of 100 people from that district. The team sets up the following approximate 90% confidence interval, using a normal estimate, for the unknown average salary (in dollars annually) of the district:

[41500,49750]

__________ Approximately 90% of the people in the district have a salary in the interval
__________ The procedure used to construct the interval works approximately 90% of the time.
_________For the normal estimate of 90% confidence to apply, the salary distribution in the population must be approximately normal.

Answers

Answer:

The interpretation is that we are 90% sure that the true average salary of the district is in this interval.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

The 90% confidence interval for the average salary of the district is  [41500,49750].

This means that we are 90% sure that the true average salary of the district is in this interval.

A used bookstore is having a sale. All paperback books
are $0.75 and all hardcover books are $3. Ginny has $10.
She wants to buy one hardcover book and as many
paperback books as she can. Which inequality represents
this situation, where p represents the number of paperback
books Ginny can buy?

Answers

Answer:

Ha ha ha ha ha

Yo, I'll tell you what I want, what I really, really want

So tell me what you want, what you really, really want

I'll tell you what I want, what I really, really want

So tell me what you want, what you really, really want

I wanna, (ha) I wanna, (ha) I wanna, (ha) I wanna, (ha)

I wanna really, really, really wanna zigazig ah

If you want my future, forget my past

If you wanna get with me, better make it fast

Now don't go wasting my precious time

Get your act together we could be just fine

I'll tell you what I want, what I really, really want

So tell me what you want, what you really, really want

I wanna, (ha) I wanna, (ha) I wanna, (ha) I wanna, (ha)

I wanna really, really, really wanna zigazig ah

If you wanna be my lover, you gotta get with my friends

(Gotta get with my friends)

Make it last forever, friendship never ends

If you wanna be my lover, you have got to give

Taking is too easy, but that's the way it is

Oh, what do you think about that

Now you know how I feel

Say, you can handle my love, are you for real

(Are you for real)

I won't be hasty, I'll give you a try

If you really bug me then I'll say goodbye

Yo I'll tell you what I want, what I really, really want

So tell me what you want, what you really, really want

I wanna, (ha) I wanna, (ha) I wanna, (ha) I wanna, (ha)

I wanna really, really, really wanna zigazig ah

If you wanna be my lover, you gotta get with my friends

(Gotta get with my friends)

Make it last forever, friendship never ends

If you wanna be my lover, you have got to give

(You've got to give)

Taking is too easy, but that's the way it is

So, here's a story from A to Z

You wanna get with me, you gotta listen carefully

We got Em in the place who likes it in your face

You got G like MC who likes it on a

Easy V doesn't come for free, she's a real lady

And as for me, ha you'll see

Slam your body down and wind it all around

Slam your body down and wind it all around

If you wanna be my lover, you gotta get with my friends

(Gotta get with my friends)

Make it last forever, friendship never ends

If you wanna be my lover, you have got to give

(You've got to give)

Taking is too easy, but that's the way it is

If you wanna be my lover

You gotta, you gotta, you gotta, you gotta, you gotta

Slam, slam, slam, slam (make it last forever)

Slam your body down and wind it all around

Slam your body down and wind it all around

Ha, ha, ha, ha, ha

Slam your body down and wind it all around

Slam your body down and zigazig ah

If you wanna be my lover

Step-by-step explanation:

Plz help !!!!!!!!!!!

Answers

Given:

The function is:

[tex]f(x)=-4x^9[/tex]

To find:

The end behaviors of the given function.

Solution:

We have,

[tex]f(x)=-4x^9[/tex]

The leading coefficient is -4 which is a negative value and the degree of the leading coefficient is 9 which is an odd number. So,

[tex]f(x)\to \infty[/tex] as [tex]x\to -\infty[/tex].

[tex]f(x)\to -\infty[/tex] as [tex]x\to \infty[/tex].

Hence, as [tex]x\to -\infty[/tex], [tex]f(x)\to \infty[/tex] and as [tex]x\to \infty[/tex], [tex]f(x)\to -\infty[/tex].

Please help me

What is the circumference and area of this shape ​

Answers

Answer:

circumference=31.41593

Step-by-step explanation:

Answer:

Hello!

Im using 3.14 for pi hopefully thats fine

circumference: 31.4

area: 78.5

Hope this helps!

Boo is with the other monster kids. She accounts 20% of the group. What fraction of the group is boo?

Answers

Answer:

1/5

Step-by-step explanation:

20 times 5 =100. 20/100 = 1/5

Answer:

1/5

Step-by-step explanation:

20 x 5 =100 . 20/100 = 1/5

Calculate the circumference of this circle π3.14 radius= 36 in

Answers

Answer:

C≈226.19in

#carryonlearning

Kim and Jose shared one whole pizza. Kim ate 4/6 of the pizza, and Jose ate 3/12 of the pizza. How much of the pizza was eaten?

Answers

Answer: 11/12

Step-by-step explanation: You need to make 4/6 by multiplying it by 2. 4/6 would become 8/12. You would then add it by 3/12 getting 11/12.

plz i need help asappppppppp

Answers

i think the answer is -5???

Answer:

-10

Step-by-step explanation:

I need the answer fast pls

Answers

Answer:

it's the middle one

Step-by-step explanation:

I passed middle school.

Find tano, where is the angle shown.
Give an exact value, not a decimal approximation.
17
ө
8

Answers

Answer:

Step-by-step explanation:

cos θ=8/17

sec θ=17/8

sec² θ-tan²θ=1

tan θ=√(sec²θ-1)=√((17/8)²-1)=√((289-64)/64)=√(225/64)=15/8

Find the length of the rectangle.

The perimeter of the rectangle is thirty-four inches. The width of the rectangle is seven inches. The length of the rectangle is L.
A. 10 in.
B. 20 in.
C. 70 in.
D. 27 in.

Answers

Answer:

C

Step-by-step explanation:

The answer is C just cuz

a. 10 because the perimeter is 34, subtracting 14 (7 twice for the two sides) leaves you with ten. You divide that by two for the two sides, leaving you with ten

Find the median of the following data.
2, 8, 7, 8, 6, 15, 6, 8,3
A 8
B. 6
C. 15
u
D. 7
E 2
u

Answers

B. 6

This is the median in this problem. Hope this helps!!!

A fair dice is rolled.
Work out the probability of getting a 4.
Give your answer as a fraction in its simplest form

Answers

The probability of getting a 4 is 1/6, because there are 6 sides in one dice.

Find the missing value in the proportion 12/34 = 18/m.

Answers

Both the top and bottom numbers would have the same scale (ratio) in order to be a proportion.

Find the scale of the top numbers:

18/12 = 1.5

The top numbers have a scale of 1.5 so the bottom numbers also have a scale of 1.5

Multiply the known bottom number by the scale:

M = 34 x 1.5 = 51

Step-by-step explanation:

[tex] \frac{12}{34} = \frac{18}{m} \\ cross \: multiply \\ 12m = 612 \\ m = \frac{612}{12} \\ m = 51[/tex]

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