Valerie deposits $1,900 in an account that
earns 3% interest, compounded quarterly.
How much is in the account after six years?

Answers

Answer 1

Answer:

$2273.19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Compound Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]

A is final amountP is principle amountr is raten is compound ratet is time (in years)

Step-by-step explanation:

Step 1: Identify Variables

P = $1900

r = 3% = 0.03

n = 4

Step 2: Solve for A

Substitute [CIRF]:                    [tex]\displaystyle A = 1900(1 + \frac{0.03}{4})^{4(6)}[/tex](Parenthesis) Divide:              [tex]\displaystyle A = 1900(1 + 0.0075)^{4(6)}[/tex](Parenthesis) Add:                  [tex]\displaystyle A = 1900(1.0075)^{4(6)}[/tex](Exponents) Multiply:             [tex]\displaystyle A = 1900(1.0075)^{24}[/tex]Exponents:                             [tex]\displaystyle A = 1900(1.19641)[/tex]Multiply:                                  [tex]\displaystyle A = 2273.19[/tex]

Related Questions

What is the area of a circle with a radius of 5 cm?

Answers

Answer:

area of circle = 78.55 cm²

Step-by-step explanation:

area of circle

= πr²

= 3.142 × 5²

= 3.142 × 25

= 78.55 cm²

34. HOME What's the Error? Nathan says
that Madison Square Garden is located
at (0,3) on the map. Is his ordered pair
correct? Explain.

Answers

Can’t see the coordinate plan so I can’t answer it
Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong. Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong. Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong. Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong. Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong. Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.

A tree produces 200 apples every year. After each year the number of apples increases by 60 apples. How many more apples will the tree make after 3 years

Answers

Answer:

There will be exactly 320 apples after 3 years.

Step-by-step explanation:

200 + 60 , 3 times.

  200    amount of apples a tree produces every year

+   60    increasing amount

------------

  260    the amount of apples increases by 60 after each year.

+   60     increasing amount

------------

  320 apples after 3 years

7:5 is equivalent to 21: ?

Answers

Answer:

7:5 is the same as 21: 15

Step-by-step explanation:

21/7 = 3 and 3*5=15

i divided 21 by 7 to see how many times it was multiplied to get there, so i could do the same thing to the 5

I hope this helps :)

Answer:the answer is 15

Step-by-step explanation:

I got it right lol

NEED HELP

Find the slope of the line that passes through (10, 92) and (97, -3).

Answers

Answer:

-95/87

Step-by-step explanation:

Formula to find slope: (y2-y1) / (x2-x1)

In this problem y2 is -3 and y1 is 92. x2 is 97 and x1 is 10.

We substitute these numbers into the equation.

(-3-92) / (97-10)

Then we simplify this by subtracting.

-95/87 is our final answer.

Find the area of a parallelogram ABCD with AB =7 m. AD = 20 m and BAD = 62°.

Answers

9514 1404 393

Answer:

  123.6 m²

Step-by-step explanation:

The area is given by the formula ...

  A = (AB)(AD)sin(∠A)

  A = (7 m)(20 m)sin(62°) ≈ 123.6 m²

i have to make an expression that has a value of 10 out of the numbers 5,2,1,1 and the format it has to go in is like ( - )+( x )=10 help me please

Answers

Answer:

(1-1)+(5×2)

hope this helps you

There are 12 boxes of books to put on shelves can you spell it has 31 bucks each shelf holds 18 books Kevin estimates he will need 20 shells for all the books

Answers

Well if you do 31 books each box times 12 boxes you get 372 books and each shelf holds 18 books so if you do 372 divided into 18 books each shelf you would get 20 shelves
Hoped this helped

does 18/24 and 15/20 form a proportion

Answers

Answer: yes

Step-by-step explanation:

when you simplify 18/24 goes to 3/4 and 15/20 simplifies to 3/4 as well so they are equivalent

which is 1/3 - 1/6 in a fraction

Answers

Answer:

Step-by-step explanation:

1/3 - 1/6

2/6 -1/6= 1/6

find common denominator

For  [tex]\dfrac{1}{3}-\dfrac{1}{6}[/tex]  the fraction will be [tex]\dfrac{1}{6}[/tex] .

Given to us,

[tex]\dfrac{1}{3}-\dfrac{1}{6}[/tex]

To solve this, firstly we need to make the denominators the same, thus taking the LCM of both 3 and 6.

As we know the LCM of 3 and 6 is 6 itself.

So, multiplying and dividing by 2.

[tex]\dfrac{1}{3}\rightarrow \dfrac{1\times 2}{3\times 2}\rightarrow \dfrac{2}{6}[/tex]

Now,

[tex]\dfrac{2}{6}-\dfrac{1}{6} = \dfrac{1}{6}[/tex]

Hence, for  [tex]\dfrac{1}{3}-\dfrac{1}{6}[/tex]  the fraction will be [tex]\dfrac{1}{6}[/tex] .

To know more visit:

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A newly planted tree is supported with a 6-m wire. The wire is attached 3
m up the tree. How far from the base of the tree is the wire secured to the
ground? Express your answer to the nearest tenth of a metre.
PLEASE HELP
ILL GIVE BRAINLIEST AND LOTS OF POINTS BTW

Answers

Answer:

I have the same question but no one will help me they are mean

Step-by-step explanation:

Eight less than four times a number

a) 4x−8
b) 8−4x
c) 4(x−8)
d) 4(8−x)

Answers

Answer:

a is the answer hope it helps

It’s A because you need to have the X factor times 4 then u subtract 8

What are three ways a seed can be taken from one place to another?

Answers

Answer:

The most common methods are wind, water, animals, explosion and fire. Dandelion seeds float away in the wind.

Step-by-step explanation:

Because plants cannot walk around and take their seeds to other places, they have developed other methods to disperse (move) their seeds.

Answer:

Seeds with wings

Hitchhikers

Going with the flow

help from animals

Step-by-step explanation:

I need help if you can that would be great thank you

Answers

Answer:

Simplifying the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base we get [tex]\mathbf{3^3\:.\:2^2}[/tex]

Option D is correct answer.

Step-by-step explanation:

We need to simply the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base.

Solving:

[tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex]

We can write it as:

[tex]\frac{(3\:.\:2)^5}{3^2.2^3}[/tex]

Now using exponent rule: [tex](a\:.\:b)^m=a^m\:.\:b^n[/tex]

[tex]\frac{3^5\:.\:2^5}{3^2.2^3}[/tex]

Now using the exponent rule: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex] the bases should be same

[tex]3^{5-2}\:.\:2^{5-3}\\=3^3\:.\:2^2[/tex]

So, simplifying the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base we get [tex]\mathbf{3^3\:.\:2^2}[/tex]

Option D is correct answer.

which of the following represents the solution to the equation 4x-2=10

Answers

Answer:

x = 3

Step-by-step explanation:

If you move -2 to the right side of the equation, you get:

4x = 12

Divide both sides by 4, and you get:

x = 3.

4x-2=10
• 4x-2+2=10+2
• x=3

What is the area of a square with a side length of 7 feet?

Please help! The help would be much appreciated

Answers

Answer:

The area of square is 49 feet²

Step-by-step explanation:

Length of side of square = 7 feet

We need to find area of square.

The formula used to find area of square is:

[tex]Area\:of\:Square=Length\times Length[/tex]

Putting values and finding area of square.

[tex]Area\:of\:Square=Length\times Length\\Put\:Length=7\\Area\:of\:Square=7\times 7\\Area\:of\:Square= 49[/tex]

So, area of square is 49 feet²

need help fast !!!!!​

Answers

Answer:

G(x) = 18

Step-by-step explanation:

first you add x on both sides (-7+x=11)

then you add 7 on both sides and end up with (x=18)

The probability of getting a 6 is 4/5. The dice is rolled 500 times How many sixes would you expect to roll

Answers

Answer: 400

Step-by-step explanation:

From the question, we are informed that the probability of getting a 6 is 4/5 and that the dice is rolled 500 times.

The number of sixes that would be expected to roll will be 4/5 multiplied by the number the dice is rolled

= 4/5 × 500

= 400

There'll be 400 sixes.

help me fast for brainiest!

Answers


I hope this helpss!!!

Estimate the product/quotation of the problem below

724÷87​

Answers

hi i hope this helps....

the answer to this problem is 8.321839080459770114942528735632183908
rounded answer =8

The cost of renting a canoe to use on River Y costs ​$. The cost of renting a canoe to use on River Z costs ​$ per hour plus a ​$ deposit. The total​ cost, c, of renting a canoe on either river for n hours can be represented by an equation. Write and graph a system to find how many hours you have to rent a canoe for the cost to be the same on both rivers.
You have to rent a canoe for___hours for the cost to be the same.

Answers

Answer:

7 hours

Step-by-step explanation:

Which set of numbers describe the side length of a right triangle

Answers

Answer: 3,4,5

Step-by-step explanation:

5² = 3² + 4²

25 = 9 + 16

25 = 25

The set of numbers 3, 4, and 5 describe the side length of a right triangle.

Option C is the correct answer.

What is the Pythagorean theorem?

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

Set of numbers:

1, 2, 3

2, 3, 4

3, 4, 5

4, 5, 6

We need to find the set of numbers that describe the side length of a right triangle.

We will apply the Pythagorean theorem to all the sets of numbers.

Using 1,2,3.

1² = 2² + 3²

1 = 4 + 9

1 = 13

2² = 1² + 3²

4 = 1 + 9

4 = 10

3² = 1² + 2²

9 = 1 + 4

9 = 5

This is not true.

Similarly,

Set of numbers: 2,3,4 and 4,5,6 are not true.

Using 3, 4, 5

5² = 3² + 4²

25 = 9 + 16

25 = 25

This is true.

Thus,

The set of numbers 3, 4, and 5 describe the side length of a right triangle.

Option C is the correct answer.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ2

please help asap! (question in the picture)

Answers

The answer is;
The graph has a dotted line and is shaded below.

which of the following is a solution to the linear function y = 4/5x+7

Answers

I think it’s X= -35/4

Dawn has been using two bank accounts to save money for a car. The difference between account 1 and account 2 is $100. If she uses 3/8 of account 1 and 7/8 of account 2, Dawn will have a down payment of $2,000. Solve the system of equations to find the total amount of money Dawn has in each account.

A – B = 100

Three-eighthsA + Seven-eighthsB = 2,000

Dawn has $
in account 1 and $
in account 2.

Answers

Answer:

dawn has $ 1,670 in account 1 and $ 1,570 in account 2

Step-by-step explanation:

Answer:

1,670 in account 1 ; 1,570 account 2

Step-by-step explanation:

1x - 1y = 100           X=7           7x-7y= 700

3/8x + 7/8y= 2000      X=8     3x+7y= 16000

                                                10x = 16700

Someone pls help what would this slope be ?

Answers

Answer:

-3/5x

Step-by-step explanation:

It is a negative slope and use rise over run

Use the elimination method to solve the system of equations. Choose the correct ordered pair
- 3y = x - 5
x + 5y = 7
A. (- 1, 2)
B. (2, 1)
c. (5, 0)
d. (- 4, 3)

Answers

Answer:

B

Step-by-step explanation:

Answer: B (2,1)

Step-by-step explanation:

Help me with my math for brainiest:)

Answers

Answer:

Here you go! Hope it helps!

Step-by-step explanation:

Answer:

1) m= 12/7

2) k= -  81/16

Answer:

1. 1 5/7

2. -5 1/16

Step-by-step explanation:

1. Solve for M by simplifying both sides of the equation then isolationg the variable.

2. Solve for K by simplifying both sides of the equation then isolationg the variable.

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPP MEEEEEEEEEEE


The table below shows measurement conversions between cups and ounces.


1 .Let x represent the number of cups and y represent the number of ounces. Write an equation that represents this relationship.

Answers

Answer: y = 8x

3 x 8 = 24

5 x 8 = 40

8 x 8 = 64

I NEED HELP ASAP PLEASE

Answers

ok b makes more sense

Step-by-step explanation:

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