2900 dollars is placed in an account with an annual interest rate of 9%. How much will be in the account after 13 years, to the nearest cent?

Answers

Answer 1

Answer:

$8,890.83

Step-by-step explanation:

To find the answer we have to use this equation:

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

A = The total amount

P = The initial amount

R = The interest rate

T = Time

Given in the question:

A = ?

P = 2,900

R = .09

T = 13

Plug it into the equation and solve:

[tex]A = 2900(1 + .09)^1^3\\A = 2900(1.09)^1^3\\A = 2900(3.065804612)\\A = 8890.83[/tex]

Therefore, after 13 years there will be $8,890.83 in the account.

I hope this helps!!

- Kay :)


Related Questions

Struggling with this assignment hoping to get some tips and an explanation also please put the answer and solution thank you

Answers

Some tips is to take your common denominator out and then work with the x’s

Represent the sample space using set notation.
4) A bag contains one red marble and two
green marbles. You randomly pick a
marble and keep it to play with. Then
your friend picks a marble from the bag.

Answers

Answer:

{(Red , Green) ; (Green , Red) ; ((Green , Green)}

Step-by-step explanation:

Here ,we notice that we draw two marbles without replacement.

Then

The possible outcomes are :

• Red then Green

• Green then Red

• Green then Green

NOTE : we can’t have the outcome Red then Red ,because if you pick a red marble and keep it to play with. Then your friend has only the choice of picking a Green marble from the bag.

Therefore,

The sample space is {(Red , Green) ; (Green , Red) ; ((Green , Green)}.

Evaluate: b - a for a = 2 and b = 7
O -5
O 5
O 9
O 14

Answers

b - a = 5

Here we have to find the value of b-a,

Where, a = 2 and b =7

By putting the value of a and b we have,

b - a =7 - 2

       = 5

Therefore b-a = 5 that is option b is the correct answer.

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59263 dived by the power of 10 x843

Answers

59263 divided by a number raised to the power of 10 × 843 is presented as follows;

[tex] \frac{59263}{843}\times x^{-10} [/tex]

How can the given expression be simplified?

The given number to be divided is 59263

Let x represent the number that is raised to the power of 10, we have;

The number by which 59263 is divided = x¹⁰ × 843

Therefore, we have;

59263/(x¹⁰ × 843)

[tex] \frac{59263}{x^{10} \times 843} = \frac{59263}{843}\times x^{-10} [/tex]

The given expression expressed using the rules of indices is therefore;

[tex] \frac{59263}{843}\times x^{-10} [/tex]

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Answer quickly please

Answers

Answer:

No

Step-by-step explanation:

Does not pass the vertical line test.

No, The line is not a function

A 10½ ounce bottle of apple juice costs $2.49. A 16 ounce bottle costs
$2.99. A 16 1/4 ounce bottle costs $2.99. Which bottle is the better buy per cost?

Answers

Answer:

3rd option

Step-by-step explanation:

find the cost of 1 ounce and see which one is the cheapest

It takes 15 over 2 minutes to fill an empty aquarium to a depth of 3 over 5 meters. What is the unit rate in minutes per meter? Write your answer as a fraction or a mixed number in the simplest form. pls answer

Answers

The unit rate in minutes per meter is 12½ min./m if it takes 15 over 2 minutes to fill an empty aquarium to a depth of 3 over 5 meters.

It takes 15/2 mins to fill an empty aquarium to a depth of 3/5 meters.

In a situationism like this we can make a equation such as

15/2 = 3/5

Lets multiply 5 in both sides

15/2 × 5= 3/5 × 5

75/2 = 3

Now lets divide both sides with 3

(75/2)/3 =3/3

25/2 = 1

Thus, the unit rate in minutes per meter is 12½ min./m if it akes 15 over 2 minutes to fill an empty aquarium to a depth of 3 over 5 meters.

What is unit rate?

Which car goes faster, a car that travels 42 miles in three hours or a car that travels 132 miles in seven hours? The solution is determined by the unit rate of each automobile. Rather than comparing the distances traveled in two or seven hours, compare how far each car drives in one hour.

A unit rate is just a ratio of two unit values, with the denominator always being one. This enables easy comparison of data values. To mention a few, common unit rates in the real world include miles per hour (MPH), price per unit, miles per gallon (MPG), revolutions per minute (RPM), and pay per year.

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Each year a certain amount of money is deposited in an account which pays an annual interest rate of r so that at the end of each
year the balance in the account is multiplied by a growth factor of z=1+r.$500 is deposited at the start of the first year, an
additional $200 is deposited at the start of the next year, and $600 at the start of the following year.
a. Write an expression for the value of the account at the end of three years in terms of the growth factor z

Answers

The value of the account at the end of three years of the growth factor z will be $1350.684.

According to the growth factor z, the value of the account after three years is,

Given r, is the yearly interest rate that is compounded by a growth factor z= 1 +r.  $500 at the end of each year.

The initial year's deposit is in the amount of $500.

Both the next year and the third-year deposits are made correspondingly, $200 and $600.

As a result, the account will be worth at the end of the three years is:

$(500 x3 + 200 x2 + 600 x) ---(1)

If r= 2%, then x=(1 + 2/100), , substituting the value of x in (1)

The sum will then be:

$(500(1 + 2/100)3 + 200 (1 + 2/100)2 + 600(1+2/100))

Solving the above equation, the amount will be equal to $1350.684.

Hence, The value of the account at the end of three years of the growth factor z will be $1350.684.

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What is the answer to this problem?

Answers

Answer:

x + 10

Step-by-step explanation:

It says 10 MORE than a number.

SO that's + 10

The numbr is x so:

x + 10

Answer

x + 10

Step-by-step explanation:

The question asking "more than" implies that you need to add, and x represents your unknown number.

pH is measured on a scale of 0 to 14 and refers to the concentration of an acid or base in water. The recommended pH for a swimming pool is 7.2 to 7.8. Write an inequality that represents the recommended pH of the swimming pool.​

Answers

Answer:

[tex]7.2\leq pH\leq 7.8[/tex]

(any variable can be used in place of "pH")

Step-by-step explanation:

Since the pH has to be between 7.2 and 7.8, it is more than 7.2 and less than 7.8.

The less than equal to sign was used because the pH can also equal 7.2 and 7.8.

Like mentioned, any variable like x can be used instead of the "pH" I put in the equation, but make sure to define your variable.

Hope I helped!!! :)

The following statements are true.
a. If a quadrilateral has four right angles, then it is a rectangle.
b. If a quadrilateral is a square, then it has four right angles.
c. If a quadrilateral is a parallelogram, then its opposite sides are congruent.
d. If a quadrilateral is a rhombus, then it is a parallelogram.
Using the Law of Syllogism, which conditional statements are accurate?
If a quadrilateral is a rhombus, then its opposite sides are congruent.
If a quadrilateral is a rhombus, then it is a rectangle.
If a quadrilateral has four right angles, then it is a square.
If a quadrilateral is a square, then it is a rectangle,

Answers

If a quadrilateral is a rhombus, then opposite sides are congruent.    True

If a quadrilateral is a rhombus, then it is a rectangle.                              False

If a quadrilateral has four right angles, then it is a square.                     True

If a quadrilateral is a square, then it is a rectangle.                                  True

What is quadrilateral?

With four sides, four vertices, and four angles, a quadrilateral is a closed shape and a specific kind of polygon. Four non-collinear points are connected to produce it. A quadrilateral's internal angles add up to 360 degrees in all cases.

The Latin words "Quadra" for four and "Latus" for "sides" are combined to get the English word quadrilateral. A quadrilateral need not have equally long sides on all four sides. So, depending on the sides and angles, we can have many quadrilateral forms.

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A tablet data provider offers different plans for data usage. The plan Raul chose has a monthly fee of $29.99 per month for 5 GB if data with an additional cost of $10 for each gigabyte over 5.
a. Write an expression for Raul’s monthly data costs.
b. Raul learns that his data provider is iffy unlimited data plan for $59.99 per month. Find the minimum number if gigabytes Raul could use per month to make the unlimited plan cheaper than his current plan. Explain your solution process.

Answers

(a) The expression for Raul's monthly data costs is 29.99 + 10 (n - 5).

(b) The minimum number is 9 GB to make the unlimited plan cheaper.

The plan Raul chose has a monthly fee of $29.99 per month for 5 GB of data, with an additional cost of $10 for each gigabyte over 5.Assume that he will use "n" gigabyte per month.The monthly fee is $29.99 for 5 GB.The cost per GB after the first 5 GB is $10.The number of GB whose cost is $10 is (n - 5).His monthly fees = 29.99 + 10 (n - 5) ⇒ current planThe fees for the unlimited plan is $59.99 per month.We need an unlimited cheaper plan than the current one.Let the current plan be expensive than the unlimited plan.29.99 + 10 (n - 5) > 59.99Subtract 29.99 from both sides.10 (n - 5) > 30Divide both sides by 10.n - 5 > 3Add 5 to both sides.n > 8The minimum number is 9 GB to make the unlimited cheaper.

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solve for y 9=y/4-2
pleas help need to submit soon

Answers

Answer:

Y = 44

Step-by-step explanation:

44/4 - 2 = 9

11 - 2 = 9

Y = 44

<3

please help me solve the problem i took a screen shot to show the problem.

Answers

Vhunajaisisiajaj sisisjsbsi

W H A T I S T H E A W N S E R F O R 8 x 2/5 =

Answers

Answer:

3 1/5

Step-by-step explanation:

8×2/5 is 16/5= 3 1/5

because u multiple the top number

8 • 2/5 = 3 1/5

1. Multiply by numerator

8 • 2 = 16

2. Simplify

16/5

3. Convert to mixed number

5 • 3 = 15

15 + 1 = 16

Therefore,

8 • 2/5 = 3 1/5

Becca made 2 trays of rolls and biscuits. Each tray had 12 rolls and 6 biscuits. How many total rolls and biscuits did Becca make?(1 )point

Answers

Answer:

24 roles and 12 biscuits

Step-by-step explanation:

She had 2 trays which each had 12 ROLES and 6 BISCUTS.

Roles:  12x2 = 24

Biscuits: 6x2 = 12

So the total is 24 roles and 12 biscuits.


A gold mine has two elevators, one for equipment and another for the miners. The equipment elevator
descends 6 feet per second. The elevator for the miners descends 15 feet per second. One day, the equipment elevator begins to descend. After 33 seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 12 seconds? At that time, which elevator is deeper?

Answers

i.  The equipment elevator is at a depth of 270 feet (-270 feet), while the miners elevator is at a depth of 180 feet (-180 feet) below the surface.

ii. The equipment elevator is deeper than that of the miners elevator.

The speed of an object is the rate at which the object moves.

speed = distance / time.

Thus,

Speed of the equipment elevator = 6 feet per second

Speed of the miners elevator = 15 feet per second.

Time of descent of the equipment elevator = 33 + 12

                                                                   = 45 seconds

So that, the distance of the elevator at this time is;

distance = speed x time

                  = 6 x 45

                   = 270 feet

 distance = - 270 feet

The distance of the miners elevator after 12 seconds is:

⇒ distance = speed x time

                  = 15 x 12

                  = 180 feet

distance = - 180 feet

Thus after another 12 seconds, the equipment elevator is at a depth of 270 feet (-270 feet), while the miners elevator is at a depth of 180 feet (-180 feet) below the surface.

Therefore, the equipment elevator is deeper than that of the miners elevator.

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A client asked Nathan to design a rectangular garden with an area of 22 square feet. The client also requested that the length of the garden be eight feet less than seven times the width

Answers

The length of the rectangular garden is 9.01 feet and width of the garden is 2.43 feet, if its area is 22 square feet.

Let the width of the garden be x units.

According to the given question.

The area of the rectangular garden is 22 square feet.

Also, the length of the garden be eight feet less than seven times the width.

⇒ length of the garden = 7x - 8

Thereofore, the area of the rectangular garden is given by

22 = x(7x - 8)

⇒ 22 = 7x^2 - 8x

⇒ 7x^2 - 8x - 22 = 0

⇒ x = [tex]\frac{8 \pm \sqrt{64 + 616} }{14}[/tex]

⇒ x = [tex]\frac{8 \pm \sqrt{680} }{14}[/tex]

⇒ x = [tex]\frac{8\pm 26}{14}[/tex]

⇒ x = 8 + 26/14

⇒ x = 34/14

⇒ x = 2.43 feet  

So,

the length of the rectangular garden = 7(2.43) - 8 = 9.01 feet

Hence, the length of the rectangular garden is 9.01 feet and width of the garden is 2.43 feet, if its area is 22 square feet.

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Select all the correct answers.
Which three expenses could money invested in a 529 plan be used for without penalty?
оооо
clothes
gas
gym membership
room and board
textbooks
tuition

Answers

H
Gym Membership and gas and clothes is my option

What is the square root of m6?


m4
m5

Answers

Answer:

Step-by-step explanation:

have a good night :)

:)

suppose that this individual now decides to give one-eighth of a percent of his new net worth to charity. how many dollars are given to charity?

Answers

The number of the dollars given to the charity will be $99,000,000.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that someone has a net worth of 7.92×10¹⁰.Suppose that this individual now decides to give one-eighth of a percent of his new net worth to charity.

The number of dollars given to the charity will be calculated as below:-

Networth: 7.92 × 10¹⁰.

The percentage given to the charity is:-

1/8 %= 0.125 % = 0.00125 × networth

The number of dollars given to the charity is:-

Number of dollars = 0.00125 × 7.92 × 10¹⁰.

Number of dollars = $99,000,000.

Therefore, the number of dollars given to the charity will be $99,000,000.

The complete question is given below:-

If someone has a net worth of 7.92 × 10¹⁰.Suppose that this individual now decides to give one-eighth of a percent of his new net worth to charity. How many dollars are given to charity?

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What is the value of |90|?

Answers

Answer:

90

Step-by-step explanation:

|90| = 90

The answer is 90. |X| those lines are absolute value meaning that any number inside of it will become a positive number.

Solve:
-567 divided by 7

Answers

Answer: -81

Hope this helps

What does the point (1,2) represent?

Answers

Answer:

In points (1,2), 1 is the value of X which represents Time in Hours and 2 is the value of Y which means Cost or $ per hour for the duration of the parking in the lot. I hope this helps.

Step-by-step explanation:

A garden table and a bench cost $987 combined. The garden table costs $87 more than the bench. What is the cost of the bench?​

Answers

Answer:

$450

Step-by-step explanation:

let the price of the bench = x

Then, the price of the table is x + 87.

x + x + 87 = 987

2x + 87 = 987

2x = 900

x = 450

Answer: $450

if martha can rake the yard in 4 hours and her brother can rake the yard in 8 hours, how long does it take them to do it together?

Answers

Answer: 12

Step-by-step explanation:

add

$72.35-6.19=?
Anyone?

Answers

Your total would come out to $66.16
You answer is 66.16

Because 72.35 - 6.19 = 66.16

for a sequence(chapter3) of numbers, suppose that you attach 1, then 2, then 3, and so on up to n. what is the big-o time analysis for the combined time of attaching all n numbers?

Answers

The big-o time analysis for the combined time of attaching all n numbers i O(n).

The big-O running time gives the relationship between the steps taken for the algorithm and its running time. it is denoted by O(.), where . refers to the some f(n). f(n) is determined by the way of the algorithm in each step.

Here, we attach 1, then 2,then 3 and so on up to n to make a sequence of numbers. So at a time, only 1 number is attached and therefore one step of the algorithm is working. So we can say that the big-O time analysis for the combined time of attaching all n numbers is O(n).

This means that at n = 1, only 1 step is taken by the algorithm .At n=2, two steps and continued like this up to n steps.

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Identify the reason for each step in the solution.
3x+6=2x+3
3x+6-2x=2x+3-2x
x+6+3
x+6-6+3-6
x+-3

Answers

The reason are as follows:

subtraction of equality i.e., 2xSubtractionsubtraction of equality i.e., 2xSubtraction

What is equation?

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.

Given:

3x+6=2x+3

3x+6-2x=2x+3-2x (subtraction of equality i.e., 2x)

x+6=3 (Subtraction)

x+6-6=3-6 (subtraction of equality i.e., 6)

x=(-3) (Subtraction)

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Rewrite 8x + 64 using a common factor.

8x(x + 64)
8x(x + 8)
8(x + 64)
8(x + 8)

Answers

The expression (8x+64) can be rewritten as a common factor as 8(x+8).

According to the question,

We have the following expression:

(8x+64)

It is to be noted that a common factor is such a number including a variable that it can completely divide a term. For example, in this expression, 8 is such a number that it can divide both 8x as well as 64.

(This can be better understood using more examples. For example, 4 is a common factor in 4x+24 and 5 is a common factor in 5x+30.)

Now, taking 8 as a common factor:

8 (x+8)

Hence, the correct expression is D (the fourth one).

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