2) How long will it take for $1300 to grow to $ 45,600 at an interest rate of 8.9% if the interest is compounded
continuously? Round the number of years to the nearest hundredth.

Answers

Answer 1

Answer:

  39.97 years

Step-by-step explanation:

The compound interest formula is ...

  A = Pe^(rt)

Solving for t gives ...

  ln(A/P)/r = t

  t = ln(45600/1300)/0.089 ≈ 39.97 . . . years

It will take 39.97 years for $1300 to grow to $45,600 when earning 8.9% interest compounded continuously.


Related Questions

Find the volume of a cylinder either enter. An exact answer in terms of pie or 3.14

Answers

Answer:

Step-by-step explanation:

V = πR²h

V = π3²6

V = 54π units³

If π = 3.14, V = 169.56 units³

what you've learned from it. Was it a success or a challenge?

Answers

I think you forgot to put something in your question

Only answer this if you know the answer.
Find out the gradient of both blue lines

Answers

Answer

first line=4.1,10

second=6,10

Step-by-step explanation:

Line /1 and line /2 are parallel line

Answers

Step-by-step explanation:

1=56⁰

2=56⁰

3=68⁰

4=68⁰

5=56⁰

6=112⁰

7=180-124 Ans=56⁰

8=68+56 Ans=124⁰

9=68⁰

10=112⁰

11=124⁰

12=56⁰

IT TOOK 15MINS mark me BRAINLIEST pls!

Victor rode his
skateboard 18 miles. If one kilometer
is approximately equal to 0.6 miles,
how many kilometers did Victor skateboard last week?

Answers

Answer:

30 kilometers

Step-by-step explanation:

18 divided by 0.6 is 30

Easyyyy 30 kilometers

find the formula for a function of the form y=ae^(-x)+bx with global minimum at (1,10).

Answers

The formula for a function of the form [tex]y = a\cdot e^{-x} + b\cdot x[/tex] with global minimum at [tex](1, 10)[/tex] is [tex]y = 5\cdot e^{1-x}+5\cdot x[/tex].

We can use first and second derivative tests to determine all coefficients of the function described in statement so that the point given is an absolute minimum. The expressions for such tests are introduced below:

FDT

[tex]-a\cdot e^{-x}+b = 0[/tex] (1)

[tex]b = a\cdot e^{-x}[/tex]

SDT

[tex]y''=a\cdot e^{-x}[/tex] (2)

Where [tex]y'' > 0[/tex].

If we know that [tex](x, y) = (1, 10)[/tex], then we have the following system:

[tex]10 = a\cdot e^{-1}+b[/tex] (3)

[tex]b = a\cdot e^{-1}[/tex] (4)

[tex]y'' = a\cdot e^{-1}[/tex] (5)

By (4) in (3):

[tex]10 = 2\cdot a\cdot e^{-1}[/tex]

[tex]a = \frac{10}{2\cdot e^{-1}}[/tex]

[tex]a = 5\cdot e[/tex]

By (5) we prove that [tex]y'' > 0[/tex], and we get the value of [tex]b[/tex] by (4):

[tex]b = 5[/tex]

Thus, the formula for a function of the form [tex]y = a\cdot e^{-x} + b\cdot x[/tex] with global minimum at [tex](1, 10)[/tex] is [tex]y = 5\cdot e^{1-x}+5\cdot x[/tex].

We kindly invite to check this question on first and second derivative tests:  https://brainly.com/question/6097697

Look at UVZ and WVZ in the image below.

Which of the following is the best description for this pair of angles?

A) supplementary

B) acute

C) straight

D) complementary

Answers

Answer:

A Supplementery

Step-by-step explanation:

they show on usa test prep

The best description for the given pair of angles is supplementary as shown in the figure. which is the correct answer would be an option (A).

What are supplementary angles?

Supplementary angles are two angles that add up to 180 degrees. In other words, if you have two angles and you add their measures together, the sum will be 180 degrees if the angles are supplementary.

For example, consider the following pair of angles:

Angle A measures 80 degrees.

Angle B measures 100 degrees.

The sum of the measures of these two angles is 80 + 100 = 180 degrees, so angle A and angle B are supplementary angles.

As per the given figure, we have two angles UVZ and WVZ

As indicated in the image, the best description for the given pair of angles is supplementary.

Learn more about supplementary angles here:

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ents
2 in
2 in
What is the area of the given figure? Enter your answer as a single number. Round to the
nearest tenths place. Use 3.14 as an approximation for pi. Your answer will be in the units of
inches squared
15

Answers

Answer:

"given figure"

No figure was given.

Step-by-step explanation:

40.75 in word form. ​

Answers

Answer:

forty and seventy-five hundredths

Step-by-step explanation:

first number with always stay the same. after decimal each number you go up a thenths place. so in this case ten, hundreths

1. Find the value of y that corresponds to x = 5 :
y = - 4 + 5(x + 6)

Answers

Answer:

X=5

y= -4+5(5+6)

y= -4+25+30

y= -4+55

y = 51

Plsss help I will give you the branlyest answer​

Answers

Answer:

4 1/4 is the answer u want

What would be the next number in this series? 135 45 180 60 240 80

Answers

Answer:

135/45 =3

180=45 multiple by 4

180/60=3

240=60 multiple by 4

It is divide.by 3 and multiply by 4

hence =80 multiply 4= 320

whats the answer can someone answer please​

Answers

Answer:

5. b and 6. c

Step-by-step explanation:

Answer:

5. b

6. c

Step-by-step explanation:

a/4−5/6=−1/2 big ideas

Answers

Answer:

4/3

Step-by-step explanation:

A/4 - 5/6 = -1/2(A6 - 20)/24 = -1/2A6 - 20 = -(1/2) x 24A6 = -12 + 20A6 = 8A = 8/6A = 4/3

A chemist has three different acid solutions. The first acid solution contains 20 % 20% acid, the second contains 30 % 30% and the third contains 60 % 60% . They want to use all three solutions to obtain a mixture of 90 90 liters containing 35 % 35% acid, using 2 2 times as much of the 60 % 60% solution as the 30 % 30% solution. How many liters of each solution should be used

Answers

Answer:

Step-by-step explanation:

37,4gam

-3/5 divided by 5
full steps

Answers

Answer:

-3/25

Step-by-step explanation:

[- 3 / 5 ] / 5

- 3

5

-------

5

1

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

- 3 x 1 = -3

5 x 5 = 25

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

-3 / 25

(2, 7); m = -3
(Write an equation in point-slope form of the line that passes through the given point and has the given slope)

Answers

Answer:

Step-by-step explanation:

y - 7 = -3(x - 2)

y - 7 = -3x + 6

y = -3x + 13

Pls help need asap thx!

Answers

Answer: C

Step-by-step explanation: it has to go like this a m

Please Answer This, with A, B, C, or D. and explain why it is so i can try and understand it. :D

Answers

Answer:

b

Step-by-step explanation:

first u have to put the like terms together which are 7p and 19p when u move the 19p th 7p it turns to minus su have to minus 7p-19p which equals to -12 check if there is more like terms there arent so u have to keep the rest the same

Answer:

B. (5q - 12) / 12

Step-by-step explanation:

7p + 5q = 19p + 12

So, we are looking for p, let's move all the p on the left, and the rest on the right

7p + 5q = 19p + 12

7p - 19p = 12 - 5q

-12p = 12 - 5q

Now to get single p we need to divide both sides by -12

-12p = 12 - 5q

p = [tex]\frac{12 - 5q}{-12}[/tex]

We don't have answer like this, so we have to get rid of the minus from this equation. To do so, we have to multiply the fraction's top and bottom by (-1)

[tex]\frac{12 - 5q}{-12} * \frac{-1}{-1} = \frac{- 12 + 5q}{12}[/tex]

all right, we almost got it, now let's change the order in top of the fraction:

p = [tex]\frac{- 12 + 5q}{12}[/tex]

p = [tex]\frac{5q - 12}{12}[/tex]

And it's done

A tortoise is walking in the desert. It walks 5.12 meters in 2 minutes. What is its speed?

Answers

Answer:

2.61 meters per minute

Step-by-step explanation:

All you have to do is divide by 2!

The speed of the tortoise is 2.56 meters per minute.

What is speed?

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.

Given, A tortoise is walking in the desert.

It walks 5.12 meters in 2 minutes.

The speed meter per minute;

5.12/2

= 2.56 meters per minute.

Therefore, 2.56 meters per minute is the speed of the tortoise.

To learn more about the speed;

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Whose statement is correct based on the expected value?

Answers

Step-by-step explanation:

only Hadley. and even that is not fully correct.

the expected value here gives us the overall most likely outcome of the scenario when throwing 2 balls.

and not ball by ball. and not directly a probability.

like rolling a die : the expected value of rolling a 6 in 6 attempts is 1 due to the individual roll probability of 1/6.

but the probabilty is NOT 1 or 100% (a guaranteed 6 in 6 attempts).

and that brings me to my concern with Hadley's statement. it says with conviction "the player will make ...". no, only "... will likely make ..." or "... on average".

Answer:

Step-by-step explanation:

neither statement is correct. right answer on khan

Help plz I don’t understand how to do this math below

Answers

1. [tex] \frac{1}{3} \times \frac{2}{5} \\ \frac{1 \times 2}{3 \times 5} = \frac{2}{15} [/tex]

2. [tex] \frac{2}{5} \div \frac{3}{5} \\ \frac{2}{5} \times \frac{5}{3} \\ = \frac{2}{3} [/tex]

- BRAINLIEST answerer

1. When multiplying fractions, multiply the numerators and multiply the denominators:

1/3 x 2/5 = (1 X 2) / (3 X 5) = 2/15

2. When dividing fractions multiply by the inverse of the second fraction.

2/5 / 3/5 = 2/5 x 5/3 = 10/15 = 2/3

What’s 3 plus 3 please help I don’t the answer

Answers

Answer:

6

Step-by-step explanation:

3+3=6 lolzzz ik u already knew that but im taking dem points!!!

Solve the equation, 3/4x + 3 - 2x = -1/4 + 1/2x + 5

Answers

Answer:

I think x=  -1

Step-by-step explanation:

domain for f(x) = -0.25(x − 4) 2 − 6

Answers

Answer:

The domain will be (-8,8), {x|x E R}

Step-by-step explanation:

The -8,8 has to be sideways on the right. Thats the answer.

A bucket holds 5l when full.Find the quantity of water in litres and millilitres when the bucket is 3/4 full.​

Answers

Answer:

3.75 lt or 3750 mlts

Step-by-step explanation:

156) If x= 2in X A) P= 6.28 in B) P= 10.5 in C) P= 12.57 in D) P= 18.34 in​

Answers

Answer:

P = 6.28

Step-by-step explanation:

To find the perimeter of a circle, you would use the formula 2πr.

The diameter = x and x = 2

The radius of a circle is half the diameter so r = 1.

Now we just substitute to get our answer:

2 · [tex]\pi[/tex] · r = P

2 · 3.14 · 1 = P

6.28 · 1 = P

6.28 = P

P = 6.28

Plz help!! Given: DE is a midsegment of ABC. Show all work.
Find the value of x and y.
And What is the length of AC? !Please show all work!
Incase photo is blurry
AE-y+6
EC-x-3
DE-x+2
BC-24

Answers

Answer:

AC=14

X=10

Y=1

Hoped this helped!

Step-by-step explanation:

DE is half of BC, therefore x=10. AE and EC have to be the same length, which is 7. SO, y=1 and x is 10.

If you earn 15% on your investment how long will it take for your money to double using the rule of 72

Answers

Answer:

If you earn 15% the answer will be 10.8

Step-by-step explanation:

I know this because if you use the rule of 72 you will have to divide the two numbers together and the you will come out with 10.8

How do I get a percentage of a number

Answers

Answer:

Convert the problem to an equation using the percentage formula: P% * X = Y.

P is 10%, X is 150, so the equation is 10% * 150 = Y.

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.

Other Questions
The area of a parallelogram can be found by the equation area=(b)(h) Find the height of a parallelogram that has an area of 10&1/2 in and a base of 3/4 the height of the parallelogram is ____ inches Can you guys make me analysis for the poem of the Bridge please thank you my family!!!! this is part onesee im no good :(The Killer ClownsOne dark and stormy night, a loud bang came from the garage. A 10 year old girl named Rosa went to see what it was. When Rosa opened the door the lights went out. She knew there was a flashlight near the door, but she couldnt find it, and the breaker-box was on the other side of the house in the basement. Suddenly the lights started to flicker on and off. She heard footsteps coming down the hall. Rosa ran and hid is a closet across the hall, she whispered to herself Please dont come this way. Clump, Clump, Clump She heard the footsteps getting closer, all of a sudden they stopped in front of the door and went back down the hall. Rosa let out a sigh of relief. Then she heard a clown car and thought Thats odd, clown cars dont pass through this late but realized there were killer clowns on the loose and the police couldnt stop them, the clowns already killed the entire police force. She knew what she had to do. The kitchen was down the hall and it sounded like the intruder was upstairs in the attic. Rosa had found a bag and started towards the kitchen, she knew exactly where the kitchen knives were and grabbed some food and a large carving knife. She also grabbed her mothers pistol and some ammo from the gun safe. She heard the front door rattling and knew to get to her room, because it was her and her puppy, Rose-Bud who was a pit bull, that night and it had no windows to get in through.Rosa locked the room door and pushed the dresser and nightstand against the door to barricade the door. Rosa heard the honking of a rubber chicken, and she knew the clowns were here. Still instead of screaming she stayed silent, got the gun loaded and ready to fire then hid in her closet. She would be safe in there for the time being, suddenly she knew Chuckie had teamed up with the killer clowns. Who else would have the clowns teamed up with besides a haunted doll? Rosa heard a knife scraping against the wall, it was deafening. Rosa was still in her closet with Rose-Bud. Bang, Bang, Bang went the door, a clown had gotten in! The clown opened the closet door very slowly and got shot straight in the heart. The gunfire made Chuckie and all the clowns run, but they are still out there. Samir's sister goes for kathak dance lessons on Tuesday ,Thursday and Saturday every week .If each lesson lasts 50 minutes ,how much time did he practice dance at her class in 3 weeks? Victor rode hisskateboard 18 miles. If one kilometeris approximately equal to 0.6 miles,how many kilometers did Victor skateboard last week? Television does not depict a great deal of violence. Please select the best answer from the choices provided T F. Based on your opinion after reading the text, what is an example of a societal response to crime and deviance?. Solve 2^3n-4>0 ................... 3 times a Numbers plus 12 is more than 15? [tex]5/12 + 11d/12 - 3 = 3d + 7 - 4d.[/tex]PLEASE HELP!! Q1. This dress suits her style. She __________ definitely like it!A. canB. couldC. willD. mayA question from Modals PLZ HELP ASAP ILL GIVE 20 POINTS!A local store is selling fresh tuna. The table below shows the price for the amount of tuna. Amount of tuna (in pounds) 2, 6, 7 price (in dollars) 12, 30, 35.predicted price for 9 pounds of tune? Que significa y que implica la frase "Hacerse cargo de las decisiones que tomamos"? Soy de 5to de primaria es para lengua... which word is the best antonym for the word derisive Bryden thinks that the people in beer ads always look self-confident, relaxed, and outgoing. Bryden is very shy and wishes she were more outgoing. She wonders if she would be more self-confident in social situations if she drank a few beers first What is 1 and 1/4 - 3/8? Team A beat Team B by 15 points in a football game . If a total of 35 points were scored , what was the final score of the game ?For team A and team BI WILL MARK YOU A BRAINLIEST What property of the carbon atom makes it unique? What equation is graphed in this figure? y4=13(x+2) y3=13(x+1) y+2=3(x1) y5=3(x1). What is a quarter of 2770?