Annabelle invested $5,900 in an account paying an interest rate of 2% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $7,440?

Answers

Answer 1

Answer:

Step-by-step explanation:

Continuous compounding has the form

[tex]A=Pe^{rt}\\ \\ t=\frac{ln\frac{A}{P}}{r}\\ \\ t=\frac{ln\frac{7440}{5900}}{0.02}\\ \\ t\approx 11.6\\ \\ t=12[/tex]

Answer 2

Therefore it will take 12 years for the value of the account to reach $7,440.

What is Compound Interest ?

Compound interest (or compounding interest) is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.

Annabelle invested amount $5900

Final Amount $7440

Rate = 2% compounded continuously

When compounded Continuously ,

[tex]\rm A = P e^{rt}\\\\\\t=\dfrac{ln \frac{A}{P}}{r}\\\\\\\\t=\dfrac{ln \frac{7440}{5900}}{0.02}\\\\t= 12[/tex]

it will take 12 years for the value of the account to reach $7,440.

To know more about Compound Interest

https://brainly.com/question/14295570

#SPJ2


Related Questions

help please bdhsfhisbf​

Answers

First question answer: August and September

Second question answer: July

Help please I give brainliest

Answers

Answer:

A) No Association

Step-by-step explanation:

Your shoe size and your math grade have nothing whatsoever to do with each other, so the answer would be No Association.

Hope it helps!

Valeria and Christina both want to run for class president. In order to appear on the ballot,
they must collect a certain number of signatures. So far, Valeria has 26 signatures and
Christina has 53. Now, Valeria is collecting signatures at a rate of 6 per day, whereas
Christina is collecting 3 signatures per day.
Assuming that their rates stay the same, the two will eventually collect the same number of
signatures. How many signatures will they both have at that time? How many days will it
take?

Answers

Answer:

10 days

Step-by-step explanation:

Answer this correctly I’ll give brainalist + 10 points

Answers

the sum of supplementary angles is 180 degree

therefore

x +2x = 180°

3x = 180

X = 180/3 = 60°

the value of X is 60°

WILL MARK BRAINLIEST ONLY HAVE 5 MINUTES EXTRA POINTS

Answers

Answer:

A - 8 out of 71

Step-by-step explanation:

I’m guessing a, if I’m right can you mark brainliest!

5. A football team plans to raise ticket prices next season by 9.5%. If each football admission ticket
costs $34.50 this season, approximately how much will an admission ticket cost next season?

Answers

9.5% x 34.50= 3.28
34.50+3.28= 37.78

PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((

Answers

Yes 1,6 is a solution

three million four hundred
ninety-three thousand
Word form

Answers

Answer:

You are correct, the number 3,493,000 is written in word form in your question.

Step-by-step explanation:

X
the sum of first ten numbers prime numbers​

Answers

Answer:

Step-by-step explanation:

2 3 5 7 11 13 17 19 23 29

The sum = 129

Please help! It would mean a lot! I will give brainliest!
Prove your answer as to why 5 mm, 10 mm, and 1 mm will or will not form a triangle.

Answers

Answer:

Step-by-step explanation:

10-5=5 and 10+5=15 so it would need to be greater than 5 and less than 15 for those two

For 5 and 1 to work

5-1=4 and 5+1=6 so it would need to be greater than 4 and less than 6

And 10-1=9 and 10+1=11 so it would need to be greater than 9 and less than 11

Is all of these solutions 5,10,and 1 wouldn't work

If Tony Has 30 cookies, 10 sodas, and 20 lollipops and he eats 10 cookies, drinks 5 sodas and 10 lollipops, what does he have now?

A: Diabetes
B: No self control
C: Hypertension
D: All of the above

Answers

Answer:

C: Hypertension

Step-by-step explanation:

I'd say Hypertension would be the only educational way to answer this question in a scientific way. As u can see cookies,lollipops and sodas have a lot of sugar which could cause high blood pressure.

I Need help on this question

Answers

Answer:

I’m sorry, can you please tell me the options for the drop down menu. Thanks, I will edit my answer when you do.

Step-by-step explanation:

In ADEF, the measure of ZF=90°, the measure of ZE=53°, and DE = 57 feet. Find the
length of FD to the nearest tenth of a foot.
E
539
57
F
D
X

Answers

Answer:

Check pdf

Step-by-step explanation:

13 + 4 (2x + 5)

Help pls

Answers

Answer:

8x + 33

Solution:

13 + 4 (2x+5)

4 • 2x = 8x

4 • 5 = 20

20 + 15 = 33

8x + 33 Is your answer

The “Chippy” brand of chips cost $2.30 per bag. The “Crunchy Goodness” chips cost $6.30 for 3 bags of chips. Which bag has a lower unit price?

Answers

Answer: The chippy brand

Step-by-step explanation: Since 3 bags for the crunchy goodness is 6.30 dollars, we don;t need to worry about that. SO, lets see how much money is 3 bags from the chippy brand.

2.30 x 3 = 6.90

Chippy: $6.90

Crunchy Goodness: $6.30

Now that we compared the Chip brans, its obvious that crunchy goodness is cheaper

Answer:

The crunchy goodness chips.

Step-by-step explanation:

If the crunchy goodness chips cost $6.30 for 3 bags and the chippy chips cost $2.30 for each bag, you do $2.30 times 3. That equals 6.90. So, $6.30 is less than $6.90 meaning that crunchy goodness chips have a lower price.

The set of whole numbers contains the set of rational numbers.
Every square root is a rational number
The integers are closed under addition.
True or False?
If false provide a counterexample.

Answers

Answer:

false -- 2/3 is not a whole number

true -- a terminating decimal is like 0.35 which is 35/100

false

true

so, 2 out of 4.

Solve for x................

Answers

Answer:

x = 17

Step-by-step explanation:

Use the interior angle sum theorem which says:

if n is the number of sides the sum of the interior angles is 180(n-2)

there are 6 sides, so the interior angle sum is 180(6 - 2) = 180 * 4 = 720.

This means that if you add all the angles you will get 720, so:

[tex]110 + 8x - 1+5x+36+116+7x+19+6x-2=720[/tex]

[tex]26x+278=720\\26x = 442\\x = 17[/tex]

Use the figure for 1-4.
E
HT
F
K
А
D
B
2. Use geometry notation to identify a ray.

Answers

Answer: the ray is K to A

Step-by-step explanation: a ray can be defined as a part of a line that has a fixed starting point (being K) but no fixed end point

(I would like to see the answer choices please)

c) 20 blank CD-Roms cost £3.20
How much do 75 CD-Roms cost?

Answers

Answer:

the cost of 75 CD Roms is £12

Step-by-step explanation:

The computation of the 75 CD roms cost is shown below:

Since it is mentioned that

for 20 blank CD roms it cost £3.20

So for 75 CD Roms, the cost would be

= £3.20 × 75 ÷ 20

= £12

Hence, the cost of 75 CD Roms is £12

Which expression is equivalent to (3-4)+5

Answers

Answer:

4

Step-by-step explanation:

(3-4)+5

-1+5

4

Graph the function.
h(x)=1/3x^2 + 2x - 4

Answers

Answer:

this should be right

Step-by-step explanation:

The area of a circle is 4πm2 What is the circumference , in meters ? Express your answer in terms of π​

Answers

Answer:

4(pie)m^2

Step-by-step explanation:

area of a circle is r^2(pie)

so if the area of the circle is 4(pie) set that equal to r^2(pie)

the pies' cancell

and you are left with 4=r^2

r=2

now the formula for the circumference is

2r(pie)

insert 2 for r

2(2)(pie)

4(pie)m^2 is the circumference

Hope that helps :)

Cora babysat for 3 1/2 hours and charged at $28. At the same hourly rate, what would she charge for 5 1/2 hours of babysitting?

Answers

42.9 goodluck :) ...

Why is trig like this?? B:What is the appropriate trig ratio that can be used to solve for x? C:Write the equation

Answers

Answer:

sin

sin 20 = x/15

15 sin 20 =x

Step-by-step explanation:

We want to find the opp/ hyp

sin 20 = opp / hyp

sin 20 = x/15

15 sin 20 =x

Look at this number sentence.
6 x ⬛️ =6/7
Which fraction makes the number sentence true?

A. 1/7
B. 1/6
C. 6/7
D. 7/1

Answers

Answer:

1/7

Step-by-step explanation:

You have to multiply across the top then the bottom.

A) 1/7
because 6/1 x 1/7 is 6/7

Which of the following is not True.

A. Angle 1 and Angle 8 are alternate exterior angles.

B. Angle 8 and Angle 4 are corresponding angles.

C. Angle 3 and Angle 2 are Vertical Angles.

D. Angle 5 and Angle 3 are Alternate Exterior Angles.​

Answers

D. Angle 5 and Angle 3 are Alternate Exterior Angles.​This Statement is false, they are co - interior angles.HOPE IT HELPS !!!

4 adults and 3 children to go to a show how much is if for the 4 adults

Answers

How much do the tickets cost?

More trig questions! Given that sin(C) = cos(B)Find the measure of ∠C if m∠C=10x+4 and the m∠B = 4x+2

Answers

Answer:

angle C = 64 degrees

Step-by-step explanation:

sin C = cos B

angle C = 10x+4

angle B = 4x+2

angle C + angle B = 90 degrees

10x+4 + 4x+2 = 90

simplify:

14x+6 = 90

14x = 84

x = 6

angle C = 64 degrees

Allison lives in Kansas City, which has coordinates of 39o5'59" N, 94o34'41 W (39.0997o N, 94.5783o W). (Earth's radius is 3950 miles). What is Allison's angular velocity in radians/hour? What is Allison's linear velocity, with respect to the center of earth in miles per hour?

Answers

Answer:

Allison's angular velocity is approximately π/12 radians/hour

Allison's linear velocity, with respect to the Earth, v is approximately 802.52 miles/hour

Step-by-step explanation:

The coordinates of Kansas City where Allison lives = 39°5'5'' N, 94°34'41''W (39.0997° N, 94.5783° W)

The radius of the Earth, R = 3950 miles

The rate of rotation of the Earth ≈ 2·π radians in 24 hours

The angular velocity of the Earth, ω ≈ 2·π/24 radians/hour ≈ π/12 radians/hour

The angular velocity of the Earth = Allison's angular velocity ≈ π/12 radians/hour

Allison's angular velocity, ω ≈ π/12 radians/hour

Allison's radius or revolution with respect to the axis of the Earth, r = 3950 miles × cos(39.0997°) ≈ 3,065.39635 miles

The linear velocity, v ≈ ω × r

∴ v ≈ π/12 radians/hour × 3,065.39635 miles = 802.518887792 miles/hour

Allison's linear velocity, with respect to the Earth (0 linear velocity), v ≈ 802.52 miles/hour

What is the next number in the sequence below?

1     3     5     7​

Answers

It’s looks like your adding 2 so the next number would be 9 because 7 + 2 = 9
Hope this helps! Have a great day :)

Answer: 9

Step-by-step explanation:

It's odd numbers. Also the pattern is counting by 2 every time.

Other Questions
help do not scam me ok I will give 40 points solve using they law of exponents(2^4)^5 Please help me ASAP Can anyone give me the variables Helppppppppppppppppppppp please help due in one hour diagram... At which location would the moon most likely be in a FULL MOON phase (all of the lit side visible)? *ABCDEF When a famous artist was just beginning her career, she sold a painting for $250. Her artwork has been increasing in value by 15% every year as her popularity has grown. If this rate continues, how much will the painting be worth in 10 years? Round your answer to the hundredths place if needed. the length of four insects are 0.02 inch, 1/8 inch 0.1 inch, and 2/3 inch. list the lengths in inches from least to greatest. PLS HURRY, I NEED AN ANSWER NOW!!! 1. Which cause-and-effect relationship is accurate?(1) The Russian Revolution led to an absolute monarchy.(2) Enlightenment thoughts led to manorialism.(3) The Black Plague led to labor shortages.(4) The Commercial Revolution led to the creation of traditional economies Drag each tile to the correct box. Ross has a box of movies in four genres: romance, comedy, drama, and science fiction. The table gives the probability of picking a movie of each genre. Movie Genre Probability romance 0.38 comedy 0.1 science fiction 0.22 drama 0.3 As part of an experiment, Ross picks a movie at random and then replaces it. He repeats the process 200 times. Place the following events in order from the event with the lowest predicted frequency to the event with the highest predicted frequency. picking a romantic movie picking a comedy movie picking a science fiction movie picking a dramatic movie , , , What must you do to have eternal life with God? NEED HELP PLEASE as soon as possible For every 2 minutes that Mandy plays on the computer, she plays outside for 5 minutes. What is the ratio of minutes Mandy plays on the computer to minutes she plays outside? A 5/2 B. 2 to 5 c. 5:2 O D. 2 and 5 that salt-water and sugar-water have in common is, at room temperature, they are * 1. What does Parvana have to do as soon as she gets home? Hi, can someone help me with my math homework? I just need help with number C. I thought of that old gentleman ... who declared that itwas impossible for any woman, past, present, or to come,to have the genius of Shakespeare. He wrote to the papersabout it. He also told a lady who applied to him forinformation that cats do not as a matter of fact go toheaven though they have, he added, souls of a sort. Howmuch thinking those old gentlemen used to save one!How the borders of ignorance shrank back at theirapproach! Cats do not go to heaven. Women cannot writethe plays of Shakespeare.-A Room of one's own,Virginia WoolfWhich statement best explains how the rhetoricaldevice supports the central idea?The author uses a rhetorical question to make theold gentleman seem ridiculous.The author uses an allusion to refer to a well-knownexpert, showing that the central idea is valid.The author reinforces the central idea byunderstating the wise thoughts of the oldgentleman.The author emphasizes the central idea by showingthe old man's foolishness through his use ofoverstatement During the Martinez family trip, they drove from home to a ski lodge, a distance of 52 4 5 miles, and then drove an additional 14 4 5 miles to visit friends. What steps should be followed to solve the inequality -4x < 8. Rashads teacher buys paperback books for her classroom library. Each book costs $6, and she spends a total of $150. Which equation models the number of books, n, she buys? A. 6n=150 B. n/6=150 C.150-n=6 D. 6150=n