A person invested $6,000 in an account growing at a rate allowing the money to
double every 11 years. How much money would be in the account after 19 years, to the
nearest dollar?

Answers

Answer 1

Answer:

P(19)=$19,852

To the nearest dollar.

Step-by-step explanation:

Exponential Growth

The natural growth of some magnitudes can be modeled by the equation:

[tex]P(t)=P_o(1+r)^t[/tex]

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

We are given the condition that an investment of Po=$6,000 in an account doubles every 11 years. The final value of the investment in t=11 is P(11)=$12,000.

Substituting into the general equation:

[tex]12,000=6,000(1+r)^{11}[/tex]

Dividing by 6,000 and swapping sides:

[tex](1+r)^{11}=2[/tex]

Taking the 11th root:

[tex]1+r=\sqrt[11]{2}[/tex]

[tex]1+r=1.065[/tex]

Substituting into the formula:

[tex]P(t)=6,000(1.065)^t[/tex]

Now we need to find the money in the account after t=19 years:

[tex]P(19)=$6,000(1.065)^{19}[/tex]

P(19)=$19,852

To the nearest dollar.


Related Questions

Solve -12t ≥-6
.......

Answers

Answer:

t=2

Step-by-step explanation:

Write the polynomial in standard form. Identify the degree and leading coefficient of the polynomial. Then classify the polynomial by the number of terms.

6c2+2c4−c

Answers

Answer:

46;&74)474:&48&4:&48&

Step-by-step explanation:

For example if you have a function f(x) = x - 1, then x = 1 is a zero of this function because using it as x gives 1 - 1 = 0. The Riemann Zeta function has some zeros that are easy to find which are of little interest but there are some other ones that are harder to find which is why the are called non-trivial.

Richard and Gloria ran a 10-kilometer race. Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the start line. The distances of Richard and Gloria past the start line as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Whose time was faster, and by how much?


Richard’s Distance Past the Start Line
Time (minutes)
5
10
15
20
25
Distance (kilometers)
2.8
3.4
4.0
4.6
5.2

A graph titled Gloria's Distance Past the Start Line has time (minutes) on the x-axis and Distance (kilometers) on the y-axis. A line goes through points (5, 0.8), (10, 1.6), (15, 2.4), (20, 3.2) and (25, 4).
Gloria’s time was 0.5 minutes faster.
Richard’s time was 0.5 minutes faster.
Gloria’s time was 2.5 minutes faster.
Richard’s time was 2.5 minutes faster.

Answers

Answer: the answer is C. Gloria’s time was 0.5 minutes faster.

Step-by-step explanation: i just took the test

Can you help me please​

Answers

Answer:

pretty sure 8.5 inches

Step-by-step explanation:

Answer:

68 inches

Step-by-step explanation:

16 + 1 = 17

16 divided by 2 = 8

so 8 x 8 = 64

so that leaves one year- 4 inches

64+4=68

this week mr wooten spent $30 for hot dogs and supplies. he earned $18. did he make money or did he loose money this week

Answers

Answer:

lost 12

Step-by-step explanation:

A raffle is being held to benefit the local animal shelter. They sell 903 tickets that do
not win any prize, 18 tickets that win a free adoption (valued at $20), and one ticket
that wins $171 worth of pet supplies and toys. If they are selling the tickets for $5
each, how much should the shelter expect to earn for each ticket sold?
Round to the nearest cent, as needed.

Answers

Answer: A raffle is being held to benefit the local animal shelter. They sell 903 tickets that do

not win any prize, 18 tickets that win a free adoption (valued at $20), and one ticket

that wins $171 worth of pet supplies and toys. If they are selling the tickets for $5

each, how much should the shelter expect to earn for each ticket sold?

Round to the nearest cent, as needed.

sorry if it appears messy!!!

Step-by-step explanation:

I REALLY NEED HELP AND FAST!
Kendra earned a total of $368 for 46 hours of yard work. After doing a total of 115 hours of yard work, how much money will Kendra have earned? Assume the relationship is directly proportional.

Answers

Answer:

With ignoring the last sentence the answer is 920.

Step-by-step explanation:

115/46=2.5

2.5*368=920

Write an equation for the description.
A number x increased by 19 is 118.

Answers

the answer is x + 19= 118

Answer:

99

Step-by-step explanation:

99 + 19 = 118

a student claims 3.657 is a rational number. which statement is correct

Answers

Answer:

poope

Step-by-step explanation:

dhishd ok wbeiebeijfid djdiixe

Answer:

Step-by-step explanation:

The student is correct because the number has decimal expansion that repeats.

HELP ASAP 30 PTS
determine the range of the following graph:

Answers

Answer:

[tex]-6\leq y[/tex]∠ 4

Step-by-step explanation:

range is the values for y: y can be (including) -6 all the way up to (not including) 4

Alan had already read 12 books this year before joining a book club, and he plans to read 1
book every month now that he has joined. If Alan has read 19 books so far, how many
months has he been with his book club?

Answers

Respuesta:

Step-by-step explanation:

7 libros

12 - 19 ⇒ 7

If a varies inversely with b, and a=20 when b=14, find the equation that relates a and b.

Answers

Answer:

ab = 280

or

a = 280/b

Step-by-step explanation:

Inverse variation is of the form

xy = k

Since we have a and b as our variables

ab = k

20 *14 = k

280 = k

ab = 280

Sometimes they write it as

a = 280/b

What is the Desmos Graphing App for Algebra and how do you use it. Is it a computer thing or do you download it on your phone?

Answers

Deseos Graphing is a website
But you also download the app on your phone
You put in the equation you want to see graphed

Answer:

  see below

Step-by-step explanation:

The Desmos graphing utility is available as an app for phone or tablet from the app stores for Android and Apple devices. It is available from the desmos web site by clicking on "Graphing Calculator" on the home page.

Attached is a screen-shot of the web version. Help can be found under the (?) button at upper right. I found the help to be useful when first starting or when trying to do something I haven't done before.

You can create an account, if you like, but that is not necessary to obtain all of the basic functionality.

A link for sharing a graph will be generated by clicking on the icon to its left. Graphs can also be saved for later reference, if you have an account. The link to a graph will work whether you have an account or not.

__

There are other desmos tools available, too, for general calculation, geometrical construction, and matrix manipulation. (I have not yet used those.)

_____

Desmos likes to use x and y for the independent and dependent variables, respectively. You can define something like h(t) = 5t+1 and it will graph it as though it were y=5x+1. When you click on an equation or graph, points of intersection with other graphs or with the axes will be highlighted. Clicking on those highlights will give their coordinates.

Equations don't need to be of the "y=" form. For example, you can use x^2+y^2=1 to make a unit circle. The usual math symbols work for keyboard input (* for multiplication; / for division; ^ for exponents). The tab or arrow keys move out of denominator or exponent fields. To make more complicated exponents, parentheses help.

There's so much more it can do. It is worthwhile to visit the on-line tutorial information.

Four times a number add to 9 times the number is 65. What is the number?

Answers

Answer:

5

Step-by-step explanation:

Answer

Answer = 5

Step-by-step explanation:

amberlouise2

Ambitious

71 answers

3.6K people helped

4 X 5 = 20

9 X 5 = 45

20 + 45 = 65

Simplify the given equation.
6 - (3x + 10) + 4(2 - x) = 15

Options:
4 - 7x = 15
4 - 4x = 15
12 - 7x = 15

PLEASE, I'm begging you, PLEASE explain step-by-step how to get to your answer. Please don't just give me the answer and not explain anything, I'm begging you

Answers

6 - (3x+10) + 4(2-x)=15

6- (3x +10) + 8-4x = 15. ( opening brackets)

-3x - 4x= 15 - 6-8. ( keeping all x terms on left and moving numbers to the right)

-7x = 1

x= 1/-7

Hope this helps:)

Select the correct answer.
The zeros of a quadratic function are 6 and -4. Which of these choices could be the function?
ОА,
f(x) = (x-6)(x-4)
OB.
fx) = (x-6)(x + 4)
fx) = (x + 6)(x + 4)
OD.
AX) = (x + 6)(x-4)
Algebra

Answers

You answer is the second one

HURRY and answer the math

Answers

Answer:

D) y=3x+1

Step-by-step explanation:

If you fill in the numbers y=3x+1 is the equation that will always be true for the chart.

hope this helps

Solve for a. -2(a-3)=12

Answers

Answer:

a=9

Step-by-step explanation:

Answer:

-2a+6=12

     -2a=12-6

       -2a=6

        -2a=6

Divide both sides by -2a

     a=-3

Step-by-step explanation:

Find the constant of proportionality (unit rate) for each set of values

profit per shirt sold
shirts: 5 10 15
profit: $7.50 $15.00 22.50

Answers

Answer: 1.5

Step-by-step explanation:

7.50/5 = 1.5

15/10 = 1.5

22.50/15 = 1.5

Answer:

$1.50

Step-by-step explanation:

To find the unit rate, we can divide the number of shirts to the profit that was made to find the unit cost per shirt.

7.50 / 5 = $1.50

15 / 10 = $1.50

22.50 / 15 = $1.50

Best of Luck!

Can someone help me please

Answers

Answer:

reghfjkvbnerfnhdbetuigkjoghbnurhjeuiogwr4th

Step-by-step explanation:

Find the exact value of Cosine (alpha minus beta) given sine (alpha) = negative four-fifths= and cos (beta) minus StartFraction 5 Over 8 EndFraction = for α in Quadrant III and ß in Quadrant II.

Answers

Answer:

Actual answer is [tex]\frac{15-4\sqrt{39} }{40}[/tex]

Step-by-step explanation:

You bought 4 pizzas and paid $7.00 each and cut the pizza into 8 equal slices. You
then sell the slices for $1.75 each. How many pieces would you have to sell to to pay
for the original cost of the 4 pizzas?

Answers

Answer:

You would have to sell

16 slices to pay for the

original price of the 4

pizzas

Step-by-step explanation:

$7.00 a box so you would have to multiply to get to

full price. $7.00x4=$28.00 The full price is $28.00.

If you are selling the slices for $1.75 each you would

also have to divide to know how many slices to sell

to get back to $28.00. 28.00÷1.75=16. So you would

have to sell 16 slices to get back to the full price.

Hope this helps.

Have a nice day :)

Do you think you

give me brainliest

plz :)

I don’t know how to do this one.

Answers

Answer:

(a) The unit circle is centered at (0,0) with a radius of 1.

(b) The equation of a circle of radius r, with a center located at (0,0):

x²+ y² = r².

(c) (i) P(1,0)

    (ii) P(0,1)

    (iii) P(-1,0)

    (iv) P(0,-1)

Step-by-step explanation:

Part (a)

The unit circle is centered at (0,0). This point is the origin.

The radius of the unit circle is 1

The term "unit" means "one", which describes the radius length.

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

Part (b)

The equation of the unit circle is x^2+y^2 = 1

The general equation of any circle is (x-h)^2+(y-k)^2 = r^2

In this case, the unit circle has center (h,k) = (0,0) and radius r = 1.

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

Part (c)

The following four points are on the unit circle

(1,0)(0,1)(-1,0)(0,-1)

As shown below in the diagram. The idea is to plug each given coordinate into the equation from part (b), and solve for the missing variable.

For example, if we know x = 1, then...

x^2+y^2 = 1

1^2+y^2 = 1

1+y^2 = 1

y^2 = 1-1

y^2 = 0

y = sqrt(0)

y = 0

Meaning x = 1 leads to y = 0. So (x,y) = (1,0) is one point on the circle. The other parts are handled in a similar fashion.

what is the total of 87,326;17 and 60​

Answers

Answer: 490

Step-by-step explanation: 87+17+60+326 = 490

which of the above objects is moving the fastest?

A. A
B. B
C. All 3 objects are moving at the same speed
D. C​

Answers

Answer:

b is moving the fastest

Step-by-step explanation:

c looks like its closer and a looks like its faster but b has both so b is the fastest to get there

Answer:

the answer is A

Step-by-step explanation:

bc since object a has the line with the steepest positive slope object a is moving the fastest

what is the unit rate of Y= -10x

Answers

Answer:

"-10 units per unit increase in x"

Step-by-step explanation:

That "-10" is the rate of change:   "-10 units per unit increase in x."

HELP FAST PLZ!!!!!! (07.01)
What is the value of x in the equation 8 + x = 37
O -5
O 5
O 11
O 24

Answers

Answer:

x = 29

Step-by-step explanation:

8 + x = 37

Subtract 8 from each side

8-8 + x = 37-8

x = 29

Is 835% less than 0.95

Answers

Answer:

no, 835% is not less than 0.95.

Step-by-step explanation:

as a percentage, 0.95 is 95%. 835% is greater than 95%. hope this helps.

Answer:

No

Step-by-step explanation:

835% as a decimal would be 8.35 and 0.95 is what you are comparing it to, so you could look at it's whole number and you see that it is bigger than zero so it is indubitably more than 0.95.

Hope this helps :)

Solve for p. 3/5(p - 3) = -4

Answers

Answer:

p = 3.6666(repeating)

Step-by-step explanation:

3/5(p-3)=-4

We simplify the equation to the form, which is simple to understand  

3/5(p-3)=-4

Simplifying:

+ 0.6*(p-3)=-4

Reorder the terms in parentheses

+( + 0.6p-1.8)=-4

Remove unnecessary parentheses

+ 0.6p-1.8=-4

We move all terms containing p to the left and all other terms to the right.  

+ 0.6p=-4+1.8

We simplify left and right side of the equation.  

+ 0.6p=-2.2

We divide both sides of the equation by 0.6 to get p.  

p=-3.66666666667

Mr.Diaz decreased the speed of his car by 30 miles per hour over a period of 10 seconds . find the average change in speed each second

Answers

Answer: 3mph/seconds

Step-by-step explanation:

Divide 30 by 10. 30mph/10seconds = 3mph/seconds

Other Questions
of the following biological levels of organization, which represents the smallest or lowest level? A.organs B.populations.c.cells.D.organism A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 45 pounds and each large box of paper weighs 80 pounds. There were twice as many large boxes shipped as small boxes shipped and the total weight of all boxes was 1435. Determine the number of small boxes shipped and the number of large boxes shipped. The table below shows the illuminated percentage of the moon on a lunar cycle of 28 days. The relationship can be described using a cosine function.A 2-column table with 5 rows. Column 1 is labeled d with entries 0, 7, 14, 21, 28. Column 2 is labeled percent with entries 0, 48, 96, 48, 0.Use the drop-down menus to complete each statement.The amplitude of the function is .The period of the function is .The graph has a vertical shift of units. Which of the following statements about large scale mineral extraction is true?a.The economic benefits of large scale mineral extraction outweigh the environmental costs.b.Large scale mineral extraction is more destructive than in the past.c.Large scale extraction is vital to the economy of mining towns.d.Mineral extraction cannot be done in ways that do not completely destroy the environment. Please help with this two part question (Calculus)^^ V = 5x + 2yX = 3y = -4a) Work out the value of V. Find negative square root of 16 . (4 points) 4 4 4 8 One local radio station plays a commercial every 6 minutes. Another local radio station plays a commercial every 9 minutes. Both radio stations just played commercials. How many minutes will pass before both local radio stations play commercials again at the same time? solve for -6=2(p+10)+-8 How did French explorers try to ensure the success of New France? They provided American Indians with manufactured goods in return for peace. They set up colonies in the south that would not interfere with New France. They befriended American Indians in order to trade for furs. They established trading posts all over North America. Math question please answer Que son las definiciones y ejemplos y porque se deben incluir en un texto What events during the Neoclassical period most likely contributed to the enslavement of Olaudah Equiano HELP ME PLEASE ASAP!!During the Gilded Age, unrest was common. Give one more example of disparity of wealth in 2020 and similarities that you discovered from the Gilded Age in today's assignment. In the United States 13 out of every 20 cans are recycled what percentage of cans are recycled Help Asap show your work on both will mark brainliest! ania is studying a variety of biomes. She finds that in a Choose... , periods of rainy weather are followed by long periods of drought, and the weather is generally warm. In contrast is the Choose... , where the weather is hot and rainy for much or all of the year. In the Choose... biome, the weather is almost always dry, with brief and infrequent precipitation. The cost of equipment purchased by Bonita, Inc., on June 1, 2020, is $119,700. It is estimated that the machine will have a $10,500 salvage value at the end of its service life. Its service life is estimated at 7 years, its total working hours are estimated at 54,600, and its total production is estimated at 728,000 units. During 2020, the machine was operated 6,600 hours and produced 60,500 units. During 2021, the machine was operated 6,050 hours and produced 52,800 units. Compute depreciation expense on the machine for the year ending December 31, 2020, and the year ending December 31, 2021, using the following methods. (Round depreciation per unit to 2 decimal places, e.g. 15.25 and final answers to 0 decimal places, e.g. 45,892.) 2020 2021 (a) Straight-line $ $ (b) Units-of-output $ $ (c) Working hours $ $ (d) Sum-of-the-years'-digits $ $ (e) Double-declining-balance (twice the straight-line rate) Martha and her brother started their own car-washing business. They charge $8.50 per car. If they wash on average 22 cars per weekend, use front-end estimation to find out about how much their business will earn in 5 weeks. A. $800 B. $1000 C. $1200 D. $1350 Please help me please please!! I need help now :((