A sum of $4000 is invested at 5.5% interest per year. Find the amount of time needed to double the money if it’s compounded monthly.
A) 12y
B) 12y 4m
C) 12y 8m
D) 13y

Answers

Answer 1

9514 1404 393

Answer:

  C)  12y 8m

Step-by-step explanation:

The amount of principal P at compound monthly at interest rate r per year is given by ...

  A = P(1 +r/12)^(12t) . . . . after t years

Here, we want to find t, so ...

  A/P = (1 +r/12)^(12t)

  log(A/P) = (12t)·log(1 +r/12)

  t = log(A/P)/(12·log(1 +r/12))

Filling in the given values, we find t to be ...

  t = log(8000/4000)/(12·log(1 +0.055/12)) ≈ 12.6315 ≈ 12 years 7.6 months

It will take about 12 years 8 months to double the money.


Related Questions

First to answer gets brainliest

Answers

Answer:

y = 4x - 9

Step-by-step explanation:

Take 2 points:

(0,-9) and (4,7)

Find the slope:

(7 - (-9))/(4 - 0)

16/4 = 4

so we have y = 4x + b

Now find b:

Insert a point for y and x:

7 = 4(4) + b

7 = 16 + b

b = -9

y = 4x - 9

Find the missing angle

Answers

The missing angle is 80 grades

Answer:

80

Step-by-step explanation:

180-80-20=80

What is 8grams as a fraction of 4kg (but as a simplified fraction)

Answers

Answer:

1/500

Step-by-step explanation:

4kg = 4000 grams

8 / 4000 simplifies to 1/500

Step-by-step explanation:

What is 8grams as a fraction of 4kg (but as a simplified

Mrs. Honeycutt has 20 students in her class and 6 of the student are members of the math club what is the ratio of the students who are not in the math club to the total number of students in Mrs. Honeycutt class?

Answers

Answer:

20-6=14 students not in math club

14:20

if it wants you to simplify it then: 7:10

Step-by-step explanation:

I hope this helps :)

Can someone please help me with this?

Answers

Answer:

the answer is c

Step-by-step explanation:

Julio says,"If you subtract 15 from my number and multiply the difference by -7,the result is -175." What is Julios number

Answers

Answer: 40

Step-by-step explanation:

Assume Julio's number is x.

The expression would be:

-7 * (x - 15) = -175

x - 15 = -175/-7

x = -175/-7 + 15

x = 40

Can someone help me solve this for extra credit in school--- please?

Answers

Answer:

y = - 3x + 2

Step-by-step explanation:

y = - 3x + 5

Slopes of parallel lines are equal

( - 1, 5)

y - 5 = - 3(x + 1)

y = - 3x + 2

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:

The answer is x = 12.

Step-by-step explanation:

We can solve this using proportion.

[tex] \frac{x}{2} = \frac{66}{12 } \\ \\ \frac{132}{12} = \frac{12x}{12} \\ \\ x = 11[/tex]




A quadrilateral has no right angles, and two pair of congruent, parallel sides. What is the figure

Answers

Answer:

rhombus, or a parallelogram

Step-by-step explanation:

please help me before i fail!!! Solve for X
7^7/7^3 = 7^x

Answers

Answer: x = 4

Step-by-step explanation:

First, we must divide the two, its in a fraction, and as you should know, when we divide exponents, you subtract the exponent on the numerator by the exponent on the denominator. So in this case we are doing 7 - 3 which is equal to 5.

[tex]7^5 = 7^x[/tex]

[tex]7^5 = 7^5[/tex]

Then we still need to subtract [tex]7^1[/tex] from [tex]7^5[/tex].

So our answer is [tex]7^4[/tex]

Answer: x = 4

Fifty people who watch television were recently polled as to
which type of program they preferred. The results are shown in
the table.


What percent of those surveyed preferred to watch new programs?

Answers

Answer:

A) 10%

Step-by-step explanation:

take the number who like to watch news and divide by 50 (total number)

5/50 = 0.1

multiply by 100 to get percent

.1 x 100 = 10

10%

Help pls 6th grade math i will give brainliest

Answers

Answer:

b

Step-by-step explanation:

It will be 3/8 because if you divide by 5 it will get you there

Write the coordinates of the vertices after a dilation with a scale factor of 1/5, centered at the origin.

Answers

Answer:

The coordinates of the vertices after the dilation by a scale factor 1/5 centered at the origin  will be:

U'(-1, -2)V'(0, -2)W'(-1, 2)

Step-by-step explanation:

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

If the scale factor > 1, the image is enlarged

If the scale factor is between 0 and 1, it gets shrunk

If the scale factor = 1, the object and the image are congruent

Rule to calculate the dilation by a scale factor 1/5 centered at the origin

P(x, y) → P'(1/5x, 1/5y)

Here, P'(1/5, 1/5y) is the image of P(x, y).

Given the vertices of the triangle UVW

U (-5, -10)

V (0, -10)

W (-5, 10)

so

Rule to calculate the dilation by a scale factor 1/5 centered at the origin

P(x, y) → P'(1/5x, 1/5y)

U (-5, -10) → U'(1/5(-5), 1/5(-10))  → U'(-1, -2)

V (0, -10) → V'(1/5(0), 1/5(-10))  → V'(0, -2)

W (-5, 10) → W'(1/5(-5), 1/5(10))  → W'(-1, 2)

Therefore, the coordinates of the vertices after the dilation by a scale factor 1/5 centered at the origin  will be:

U'(-1, -2)V'(0, -2)W'(-1, 2)

Please help it’s due in a few minutes

Answers

Answer:

135

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

I found this out because it is bigger then a 90 degree angle so tat takes out A. and B. because they are smaller then a 90 degree angle so that leaves D. because "RUP" is bigger then a 90 degree angle.

The Boyle family drove at an average speed of 60 miles per hour. They drove for 4 hours. How far did the Boyle family drive?

Answers

Answer:

240 miles?

Step-by-step explanation:

what is the equation of a line that passes throught the points (-4, 2) and (-8, -3)​

Answers

Answer:

y=5/4x+9/2

Step-by-step explanation:

Slope: 2+3/-4+8

=5/4

y-2=5/4(x+2)

y-2=5/4x+5/2 <------because 5/4*2=10/4

y=5/4x+9/2

Drag the tiles to match the behavior of the graph of a function with the slope of its graph.
negative slope zero slope positive slope

Answers

Answer:

positive, negative, zero

Step-by-step explanation:

Find the fifth term in the sequence
that is defined as follows:
an = 3n - 5

Answers

Answer:

The fifth term of the sequence is: [tex]\mathbf{a_5=10}[/tex]

Step-by-step explanation:

We need to find the fifth term in the sequence  that is defined as follows:

[tex]a_n = 3n - 5[/tex]

For finding the fifth term we have to put n=5 and solve the sequence

Putting n=5, and solving the sequence

[tex]a_n = 3n - 5\\Put\:n=5\\a_5=3(5)-5\\a_5=15-5\\a_5=10[/tex]

So, the fifth term of the sequence is: [tex]\mathbf{a_5=10}[/tex]

Hinata is an atlethe.She swims every 6 days and runs every 4 days. If she does two activities today, how many days will she do the two activities again the same day, what is the LCM AND GCF

Answers

Answer:

87

Step-by-step explanation:

Given a population mean of 53.7 with a standard deviation of 1.3 and a sample size

of 6, answer these questions:

Part A: What is the standard deviation of the sampling distribution of X? Show your

work. (5 points)

Part B: What does the sample size need to be if you want the standard deviation of

the sampling distribution of x to be 0.325? Show your work. (5 points) (10 points)

Answers

Answer: A. 0.4899 B. 14

Step-by-step explanation:

If X = random variable

then, the standard deviation of the sampling distribution of X = [tex]\dfrac{\sigma}{\sqrt{n}}[/tex]

A.

GIven: [tex]\sigma= 1.2, \n= 6[/tex]

The standard deviation of the sampling distribution of X = [tex]\dfrac{1.2}{\sqrt{6}}=0.4899[/tex]

B. Let n be the sample size,

[tex]0.325=\dfrac{1.2}{\sqrt{n}}\\\\\Rightarrow\ \sqrt{n}=\dfrac{1.2}{0.325}\\\\\Rightarrow\ \sqrt{n}=3.69230769231\\\\\Rightarrow\ n= (3.69230769231)^2=13.6331360947\approx 14[/tex]

Hence, the required sample size = 14


(5 pts) A quadratic function f is given by f(x) = ax2 + bx + c where a is not 0. Select all
the statements that must be true about the graph of f.
a.
The y-intercept of the graph is at (0,c).
b.
The graph has an x-intercept at (c,0).
C.
When a < 0 the graph is open downward.
d.
The graph has two x-intercepts.
e.
If b = 0, then the vertex is on the y-axis.

Answers

Answers:

a) True. Plug in x = 0 and it leads to y = c. Therefore, the point (0,c) is on the parabola.b) False. Plug in y = 0 and apply the quadratic formula. One x intercept may sometimes be x = c, but it could easily be other values as well. Or perhaps you may not get any real number solutions at all. See part d) below.c) True. If a < 0, then the leading coefficient is negative. Overall, both endpoints will tend toward negative infinity to produce a parabola that opens downward.d) False. The quadratic may have one x intercept or it may not have any x intercepts at all. It depends on what the discriminant d = b^2 - 4ac is equal to. If d < 0, then we have no x intercepts. If d = 0, then we have exactly 1 x intercept. If d > 0, then we have two different x intercepts.e) True. The vertex's x coordinate is -b/(2a). If b = 0, then the x coordinate of the vertex is 0. The vertical line x = 0 is directly on top of the y axis.

If the value of a is less than zero then the parabola is open downward. Then the correct option is C.

What is a quadratic equation?

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

A quadratic function f is given by f(x) = ax2 + bx + c where a is not 0.

a. The y-intercept of the graph is at (0,c). This is incorrect.

b. The graph has an x-intercept at (c,0). This is incorrect.

c. When a < 0 the graph is open downward. This is correct.

d. The graph has two x-intercepts. This is incorrect.

e. If b = 0, then the vertex is on the y-axis. This is incorrect.

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

A company that offers tubing trips down a river rents tubes for a person to use and "cooler" tubes to carry food and water. A group spends $270 to rent a total of 15 tubes. Write a system of linear equations that represents this situation. Use $x$ to represent the number of one-person tubes rented and $y$ to represent the number of cooler tubes rented. How many of each type of tube does the group rent?

Answers

Answer:

the group rents is 11 person tubes and there is 4 cooler tubes

Step-by-step explanation:

The computation is shown below:

The equation are as follows:

x + y = 15

y = 15 - x

And, the cost of person tube is $20

The cost of the cooler tube is $12.50

The total spending is $270

Now the equation is

20x + 12.50y = 270

Now put the value of y in the above equation

20x + 12.50(15 - x) = 270

20x + 187.50 - 12.50x = 270

20x - 12.50x + 187.50 = 270

7.50x + 187.50 = 270

7.50x = 270 - 187.50

7.50x = 82.50

x= 11

Now put the value of y in any of the equation

y = 15  - 11

= 4

So, the group rents is 11 person tubes and there is 4 cooler tubes

Select the better deal in the pair. Then give the unit rate for the better deal.
$210/7g or $264/8g

Answers

For the $210 one: $30/g
For the $264 one: $33/g

Therefore, the $210 one is a better deal.

Which of these two numbers is the largest?
4.12 or 4.21

What’s the answer?

Answers

Answer:

4.21

Step-by-step explanation:

12 is less than 21 therefore its bigger

The larger number is 4.21

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first number be = A

Let the second number be = B

Now , the value of A = 4.12

And , the value of B = 4.21

Now , we can clearly see the value of B is greater than A

So , the equation will be

Therefore , the value of B > A

And , 4.21 > 4.12

Hence ,The larger number is 4.21

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Two car services offer to pick you up and take you to your destination. Service A charges 40 cents to pick you up and 30 cents for each mile of your trip. Service B charges $1.10 to pick you up and charges c cents for each mile.

A) Match the services to the lines l and m

B) For service B, is the additional charge per mile greater or less than 30 cents per mile of the trip? Explain your reasoning ​

Answers

Answer/Step-by-step explanation:

a.) Service A charges of 40 cents to pick you up is the initial value (y-intercept). Form the graph, the line that has a y-intercept of approximately 40 cents is line m.

Also, the initial value of line l is $1.10 from the graph, which is the pick up cost that Service B charges. Therefore,

Line m = Service A

Line l = Service B

b.) The additional charge of service B = the slope of line l. Let's calculate the slope to see if it's greater than or less than 30 cents per mile of the trip.

Using two points on line l, (0, 1.10) and (7, 2.5)

Slope = change in y/change in x = (2.5 - 1.10)/(7 - 0)

= 1.4/7 = 0.2

Additional charge per mile for service B is $0.2 = 20 cents.

Therefore we can conclude that the additional charge per mile for service B is less than 30 cents/mile of the trip.

HELP PLS ILL MARK BRAINLIEST PLEASEEEEEEEEE

Answers

Answer:

I think its C

Step-by-step explanation:

I guessed

C or a for this problem

if the shaded area is 16 cm ^ 2 , then the length in the figure is?

Answers

Answer:

If the shaded area is 16 cm^2, then the length in the figure is

[tex] \sqrt{16} = 4 \: cm[/tex]

4 cm is the right answer.

Pl help is for homwork

Answers

Answer:

Sabrina bought 3 pounds of bananas.

Step-by-step explanation:

Given equations are:

a + b = 8       Eqn 1

0.95a + 1.10b = 8.05    Eqn 2

As we have to find the number of pounds of bananas bought, we will eliminate the variable a from the equation.

Multiplying Eqn 1 by 0.95

0.95(a+b=8)

0.95a+0.95b=7.60     Eqn 3

Subtracting Eqn 3 from Eqn 2

(0.95a+1.10b)-(0.95a+0.95b)=8.05-7.60

0.95a+1.10b-0.95a-0.95b=0.45

0.15b = 0.45

Dividing both sides by 0.15

[tex]\frac{0.15b}{0.15}=\frac{0.45}{0.15}\\b = 3[/tex]

Hence,

Sabrina bought 3 pounds of bananas.

According to an advertisement for Colgate toothpaste, 4 out of 20 Dentist prefer Colgate. There are 150 Dentist in a certain city. Predict how many of them prefer Colgate.

100 Points to the first person who answers! and the Brainliest

Answers

Answer:

According to an advertisement for Colgate toothpaste, 4 out of 20 Dentist prefer Colgate. There are 150 Dentist in a certain city.

Let the number of dentists prefer Colgate in the city be x

[tex] \frac{4}{20} = \frac{x}{150} \\ x = \frac{4 \times 150}{20} \\ \boxed{x = 30}[/tex]

30 dentists prefer Colgate.

pedros check register showed a balance of $550.94. his bank statement listed 3 items that did not appear in his register: earned interest of $4.36, a service charge of $5.50, and an ATM withdrawal of $150. Reconcile pedro's check register.

Answers

Answer: $391.08 would be how much he really has in his register.  I may be a little off though.

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