Henry is investing at a continuously compounded annual interest rate of 4.4%. How many years will it take for the balance to triple? Round your answer up to the nearest whole number, and do not include units in your answer.

Answers

Answer 1

The number of years it would take the amount to triple is 25 years.

The formula that would be used to determine the number of years it would take the balance to triple is:

FV = PV  x [tex]e^{r}[/tex]N

Where:

n = number of years fv = future value PV = present value e = 2.7182818 r = interest rate

3 = [tex]e^{0.044}[/tex]N

Take the log of both sides

log(3) / log(e) /  (0.044) = 25 years

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Related Questions

I need help! Does anyone understand?

Answers

Answer:

the answer should be G or H

write an absolute value equation representing all numbers x whose distance from 0 is 6 units

Answers

Answer:

Answer:

Step-by-step explanation:

Step-by-step explanation:

X would be the absolute value of 6 or -6 since they both are 6 units from 0 so it can be x=|6| or x=|-6|. Either way, they both equal to 6

Fill in the missing
numbers?
?•(-10) = 90

Answers

Answer:

?=-9

Step-by-step explanation:

A negative x negative is positive. 90/10=9 and mutiply both by -1. -10x-9=-90

61 = 7 - 6x
this is 8th grade math ​

Answers

Answer:

x = -9

Step-by-step explanation:

Solve:

61 = 7 - 6x54 = -6xx = -9

-Chetan K

Answer:

[tex]\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: Solution :- \: x = -9 }}}}}}}}[/tex]

Step-by-step explanation:

[tex]61 = 7 - 6x\\61 - 7 = - 6x\\54 = -6x\\-\frac{54}{6} = x\\\boxed{- 9 = x}[/tex]

______

Hope it helps!

[tex]\mathfrak{Lucazz}[/tex]

Does "greater than" sign and "not equal to" sign denote the same thing?​

Answers

Hello!

The "greater than sign" means one number is greater than the other.

Example: 4>2 (4 is greater than 2)

The "not equal to sign" means one number is not equal to another one.

Example: 15[tex]\neq[/tex]17 (15 is not equal to 17)

Hope this helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

no they dont

greater than sign denotes that the first digit is greater than the other digit

Which equation represents the statement: Three times the sum of a number and 5 is –30?
3n + 5 = -30
3(n+5) = -30
n + 15 = -30
(n + 5) ÷ 3 = -30

Answers

Answer:

3(n+5)=-30

Step-by-step explanation:

Three times the sum of a number and 5 is - 30

Vocabulary:

times = multiplication, represented with *

sum = addition, represented by +

unknown number = n

Three * the sum of a number and 5

The sum of a number and 5 is the same as saying n + 5

So we are multiplying 3 by n + 5

Because n is an unknown variable we have to separate the sum of n and 5 from being multiplied by 3 with parenthesis. We do this because if we want to multiply 3 by the sum of n and 5. If we put 3 * n + 5 we are only multiplying the unknown variable by 3 not including the 5 that is added to it.

So we get 3( n + 5 ) is -30

3(n+5)=-30 is the answer.

Answer:

[tex]3(n+5)=-30[/tex]

Step-by-step explanation:

1. Divide the problem into pieces. The sum of a number and five can be written as [tex]n+5[/tex], where n is any number.

2. Since the question tells us that this sum is multiplied by 3, we expand the expression to [tex]3(n+5)[/tex].

3. Finally, the question tells us that this expression is equal to -30. This means we can express the entire statement as the equation [tex]3(n+5)=-30[/tex].

Find an equation for the perpendicular bisector of the line segment whose endpoints
are (2, -1) and (6, -9).

Answers

Answer:

x-2=y+1

Step-by-step explanation:

here is ur answer

Is the slope y=4/3x+2
(Just double checking) :)
(For linear equations)

Answers

Answer:

Yes it is 4/3

Step-by-step explanation:

geometry help on 34 please

Answers

Answer:

x=112, y=28, z=22

Step-by-step explanation:

68°+4y°=180° (adj angles on a str line)

4y=180-68

=112

y=112÷4

=28

x°+68°=180° (int angles)

x=180-68

=112

(5z+2)°=x° (corr angles)

5z+2=x

5z+2=112

5z=112-2

=110

z=110÷5

=22

help plz we this work

Answers

Since it’s of 100, it’s how many squares are shaded in: 35
So it would be 35/100 or 35%
ANSWER: 35%

henry is designing a tablecloth for his dining room table. He wants to buy fabric in his favorite color to make the tablecloth. use the dimensions below to determine how much fabric he need to buy. 12 feet 7 feet

Answers

This question is basically asking for the area of the tablecloth. Remember that A = l • w.

12 • 7 = 84

So, Henry will need to buy 84 ft^2 of fabric.


Can someone please help me

Answers

Answer:

The linear ones

options 1 and 3

Step-by-step explanation:

4 and 5 are parabolic with maxima at y = -4 and minima at y = -3.25 respectively

2 is asymptotic to the negative x axis on the positive side

Please take a look at the picture for question

Answers

A



hope i made your day

What is 352,914 rounded to the nearest hundred thousand?

Answers

Answer:

40,000

Step-by-step explanation:

The value of 352914 to the nearest hundred thousand is 400,000

What is approximation?

To approximate a number means to write a number near the original number that is a number, not exactly the original number. It may be a bit more or less than the original.

For example 345 is called three hundred and forty five, this means that 3 is hundred , 4 is tens and 5 is units. When approximating we round up the next number to 1 if ≥ 5 and to 0 if ≤ 5.

Therefore, 352914 approximated  to the nearest hundred thousand will be  400, 000 because the number after 3 is 5 it will be rounded to 1 and added to 3.

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An editor has a stack of k documents to review. The order in which the documents are reviewed is random with each ordering being equally likely. Of the k documents to review, two are named “Relaxation Through Mathematics” and “The Joy of Calculus.” Give an expression for each of the probabilities below as a function of k. Simplify your final expression as much as possible so that your answer does not include any expressions in the form a b . (a) What is the probability that “Relaxation Through Mathematics” is first to review?

Answers

Using the probability concept, it is found that there is a [tex]\mathbf{\frac{1}{k}}[/tex] probability that “Relaxation Through Mathematics” is first to review.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

There is a total of k documents to be reviewed, hence [tex]T = k[/tex].Of those documents, 1 is named “Relaxation Through Mathematics”, hence [tex]D = 1[/tex]

The probability is:

[tex]p = \frac{D}{T} = \frac{1}{k}[/tex]

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The ratio of ronnys tern, dougs rent and ronalds rent is 4:5:8. Their total rent if $3723. What is the cost of each persons rent

Answers

Answer:

The cost of Ronny is $876, Dough is $1095 and Ronald is $1752.

Step-by-step explanation:

Firstly, make all ratios into units:

Let Ronny = 4 units, Doug = 5 units,

Ronald = 8 units, Total = $3723

4 units + 5 units + 8 units = 17 units

17 units = $3723

1 unit = $3723 ÷ 17

1 unit = $219

Given that 1 unit is equals to $219. Let find the amounts:

Ronny = 4 × 219 = $876

Doug = 5 × 219 = $1095

Ronald = 8 × 219 = $1752

Create polynomial functions using the given information:
A degree 9 polynomial with at max 5 positive zeros and at max 3 negative zeros

Answers

It's pretty much simple. Since we can factor a polynomial by its zeros, lets write one of degree nine :

X(X-1)(X-2)(X-3)(X-4)(X-5)(X+1)(X+2)(X+3)= X^9-9X^8+6X^7+126X^6-231X^5-441X^4+944X^3+324X^2-720X

This polynomial is of degree 9 and has exactly 5 strictly positive zeros : 1, 2, 3, 4, 5

And it has 3 negative zeros : - 1, -1, - 3

And it has 0 as a zero too.

There is also this one :

(X-1)(X-2)(X-3)(X-4)(X²+1)(X+1)(X+2)(X+3) = X^9-4X^8-13X^7+52X^6+35X^5-140X^4+13X^3-52X^2-36X+144

It has 4 positive zeros : 1, 2, 3, 4.

It has complex zeros : i and - i

3 negative zeros : - 1, - 2 , - 3

Good Luck

POSSIBLE POINTS: 33.33
homeowner collects data about the amount of oil A, in gallons, used to heat the house per month for 5 months and the
verage monthly temperature t, in degrees Fahrenheit, for those months. The scatter plot shows the data. The function
(t) = -1.4t + 96 best fits these data.

Answers

3 Answers: Choice AChoice CChoice E

=============================================================

Explanation:

Check out the diagram below. I've plotted the regression line A(t) = -1.4t+96 on the same xy grid as the given scatterplot. This line tries to get as close as possible to all of the points.

From here, we plug in each of the temperatures mentioned in the five answer choices (10, 15, 68.5, 55, 0). The outputs form the second column of the table in that same diagram.

For example, if we plugged in t = 10, then,

A(t) = -1.4t+96

A(10) = -1.4(10)+96

A(10) = -14 + 96

A(10) = 82

Telling us that a temperature of 10 degrees F would have a predicted or estimated usage of roughly 82 gallons of oil. This points to choice A being one of the answers.

The other temperature values are handled the same way. Choice B is false because t = 15 does not lead to A(t) = 85. Instead, it's A(15) = 75 meaning it's 10 degrees off the mark.

Choice C is true though. Plugging t = 68.5 into A(t) leads to A(t) = 0.1 which rounds to 0 assuming we're only worried about whole numbers. If your teacher is considering decimal values, then choice C is unfortunately false. For now I'll assume your teacher wants you to round.

If we tried t = 55, then we'd get A(15) = -1.4*55+96 = 19 which is not 5 as we'd want. This rules out choice D.

Lastly, plug in t = 0 to find that A(t) = 96. This leads to choice E being one of the answers.

For the graph attached statements A, C and E are true.

     Function that fits the given data in the graph,

A(t) = -1.4t + 96

Here, t = temperature in Fahrenheit

A(t) = Oil used in gallons

By substituting the value of 't' in the equation we can get the amount of oil used A(t) to heat the house.

Option A

By substituting t = 10°F,

A(10) = -1.4(10) + 96

        = 82 gallons

Therefore, statement is true.

Option B

For t = 15°F,

A(15) = -2.4(15) + 96

        = 60 gallons

Statement is False.

Option C

For t = 68.5°F

A(5) = -1.4(68.5) + 96

       = 0.1 gallons

       ≈ 0 gallons

Statement is True.

Option D

For t = 55°F,

A(55) = -1.4(55) + 96

         = 19 gallons

Statement is False.

Option E

For t = 0°F

A(0)  = -1.4(0) + 96

        = 96 gallons

Statement is true.

     Therefore, statements given in options A, C and E are True.

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Please help!!! if i can ill give brain thing sometimes it wont let me!!

Answers

Answer:

1)24

2)15

3)5

4)48

Step-by-step explanation:

Answer:

I'm answering 1 and 2, okay?

Step-by-step explanation:

Q1: 24,36,12

Q2: 12, D

Question 1 works because the LCM of 6 and 4 is 12, so any multiple of twelve will also work. So from the answer choices, 12 24 and 36 all are multiples of 12.

Question 2 is D because it says 1 3/5 = 1 ?/20. We know that 5*4=20. And what we do to the denominator we do to the numerator, which is 3. So we multiply 3 by 4 to get 12.

And for the rest of the questions, GOOD LUCK AND TAKE CARE (Using my methods, you can solve them anyways.)

what is 5 sixths of a full rotation

Answers

Answer:

300°

Step-by-step explanation:

what is 5/6 of a full rotation?

A full rotation is 360°

360 * 5/6 = 300°

Are the ratios 6:1 and 19:3 equivalent?

Answers

Answer: no<3

Step-by-step explanation:

leave a thanks if helped plz

What is the area of the figure below?



16 square units
14 square units
10 square units
12 square units

Answers

The answerr is 12 square units
The answer is 12!

How do you get this answer?
start by counting the boxes there’s a total of six in the first rectangle and 6 on the other so 6+6= 12!!!
Just count the boxes and that’s it:)

There are 2 pigs, 3 chickens, 4 cows and 5 ducks on a farm. If the farmer wants 3 animals
for a play but only needs one two-legged animal, how many ways can he choose the three animals?

Answers

Answer:

6 ways

Step-by-step explanation:

1: 2 pigs, 1 chicken

2: 2 pigs, 1 duck

3: 1 pig, 1 cow, 1 chicken

4: 1 pig, 1 cow, 1 duck

5: 2 cows, 1 chicken

6: 2 cows, 1 duck

The farmer can choose the animal in 6 ways as per different combinations.

Solution to the above problem

The different combinations can be written as follows:

nCr = n! / r! * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time

Since we want 3 animals we can make different pairs as listed below

1: 2 pigs, 1 chicken

2: 2 pigs, 1 duck

3: 1 pig, 1 cow, 1 chicken

4: 1 pig, 1 cow, 1 duck

5: 2 cows, 1 chicken

6: 2 cows, 1 duck

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A runner can finish 3 miles in 24 minutes. If they can maintain that pace, how far could they run in 40 minutes?

Answers

Answer:

4.85 mailes can be running for runners

Which expression does not have a solution of 14, if w = 9?

a. w + 5
b. 5 + w
c. 23 - w
d. w - 9

Answers

The answer is D: W-9
The answer is D. w-9

If you deposit $400 into an account that offers a 5% interest rate. How much interest will you earn after 1 year?​

Answers

Answer:

Answer: The answer is $20

Multiply 400 by .05 or 5%.

If you wanna know 6 years it would be 536 usd

Explanation:

This would be an compound interest. Meaning that your gain every year would increase exponentially.

The equation to calculate this would be: Kn = K0⋅

(1+p100)n Kn is your savings after the period nK0 is your starting deposit p is the percentage n is the period of interest for your example we would have.

Kn=400⋅

(1+5100)6

Step-by-step explanation:

CREDIT FOR ANSWER GOES TO  

calderonj4588

Find the factorization of the polynomial below.
81x2 + 72x + 16

Answers

Answer:

9 x + 42.

Step-by-step explanation:

Answer:

72x+178" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 17.017px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">72x+17872x+178

Factor the following expression. x^2+9x+8

Answers

Answer:

(x+1)(x+8)

Step-by-step explanation:

I just got multiples of 8 that when added equal to 9. In this case, it was 1 and 8 which when you multiply is 8 and when you add, it's 9.

plz help anyone i really need this.....

Answers

Answer:

a) single replacement

b)decomposition

Step-by-step explanation:

a) im not so sure but pretty sure its tight

b) decomposition requires energy so therefore can only be this

Tell whether the fractions are equivalent. Write = or


2/3 ______ 4/6

Answers

[tex]\dfrac 23 = \dfrac{2 \times 2 }{3 \times 2} = \dfrac 46[/tex]

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