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

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Related Questions

In ADEF, the measure of ZF=90°, the measure of ZE=53°, and DE = 57 feet. Find the
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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

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now the formula for the circumference is

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insert 2 for r

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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
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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

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x = 6

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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

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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.

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]

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
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Answers

Answer:

10 days

Step-by-step explanation:

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?

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Answer:

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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

Use the figure for 1-4.
E
HT
F
K
А
D
B
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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)

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

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Yes 1,6 is a solution

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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!

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

Answers

Answer:

4

Step-by-step explanation:

(3-4)+5

-1+5

4

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Answers

the sum of supplementary angles is 180 degree

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Answers

Answer:

A - 8 out of 71

Step-by-step explanation:

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

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Answers

Answer:

8x + 33

Solution:

13 + 4 (2x+5)

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4 • 5 = 20

20 + 15 = 33

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Answers

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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

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A: Diabetes
B: No self control
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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.

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:

5. A football team plans to raise ticket prices next season by 9.5%. If each football admission ticket
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Answers

9.5% x 34.50= 3.28
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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

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

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

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Answer:

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Step-by-step explanation:

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 !!!

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

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.

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