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

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I Need help on this question

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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:

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How much do the tickets cost?

WILL MARK BRAINLIEST ONLY HAVE 5 MINUTES EXTRA POINTS

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Answer:

A - 8 out of 71

Step-by-step explanation:

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

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
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Answer:

10 days

Step-by-step explanation:

13 + 4 (2x + 5)

Help pls

Answers

Answer:

8x + 33

Solution:

13 + 4 (2x+5)

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20 + 15 = 33

8x + 33 Is your answer

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Yes 1,6 is a solution

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

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

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Hence, the cost of 75 CD Roms is £12

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.

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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Answers

Answer:

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Step-by-step explanation:

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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!

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

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Hope that helps :)

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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]

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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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Please help! It would mean a lot! I will give brainliest!
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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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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

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Step-by-step explanation:

We want to find the opp/ hyp

sin 20 = opp / hyp

sin 20 = x/15

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Answers

Answer:

4

Step-by-step explanation:

(3-4)+5

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Answers

the sum of supplementary angles is 180 degree

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three million four hundred
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Word form

Answers

Answer:

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

Step-by-step explanation:

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?

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Answers

Answer:

C: Hypertension

Step-by-step explanation:

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E
539
57
F
D
X

Answers

Answer:

Check pdf

Step-by-step explanation:

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

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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.

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 !!!

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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42.9 goodluck :) ...

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First question answer: August and September

Second question answer: July

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
2. Use geometry notation to identify a ray.

Answers

Answer: the ray is K to A

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(I would like to see the answer choices please)

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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 :)

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Step-by-step explanation:

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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

∴ 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

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