Viktor deposits $4,300 in an account that
carns 6% interest compounded monthly.
How much is in the account after five years?

Answers

Answer 1

Answer:

Viktor will have $5,800 in his account after 5 years

Step-by-step explanation:

Compound Interest

It happens when interest in the next period is then earned on the principal sum plus previously accumulated interest.

The formula is:

[tex]\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}[/tex]

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Viktor deposits P=$4,300 in an account that earns r=6% interest compounded monthly. Since there are 12 months in a year, n=12. The interest rate is converted to decimal: r=6/100=0.06. The final amount in the account after t=5 years is:

[tex]\displaystyle A=\$4,300\left(1+{\frac {0.06}{12}}\right)^{12*5}[/tex]

[tex]\displaystyle A=\$4,300\left(1.005}\right)^{60}[/tex]

Calculating:

A = $5,800

Viktor will have $5,800 in his account after 5 years


Related Questions

How many pounds does 6.5 dozen cupcakes weigh?
• 1 cupcake = 35.3 grams

Answers

Answer:

35.3g * 78 =2,753.4g

2,753.4g = 6.07lbs

What does k represent in the equation y = kx?

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Answer:

The constant of variation.

10 – 7w – 13 – 7w + 15

I need help plsss!

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Answer:

12-14w

Step-by-step explanation:

48 cities three have a lake and 23 have a river running through them what fraction of these 48 cities have a lake or a river running through the show your work

Answers

3/48 + 23/48 = 25/48 25 cities have a lake/river going through them

What’s the solution for x- 5 =5

Answers

Answer:

x=10

Step-by-step explanation:

10-5=5

Answer:

x= 10

Step-by-step explanation:

x-5 =5

x= 5+5

x= 10

zz

(4/9) ÷ (7/12) = ???

Answers

Answer:37/36

Step-by-step explanation:

Source: Trust me

Answer:

16/21

or in decimal form 0.761904

Step-by-step explanation:

could i have that brainlyest

A watercolor painting is 24 inches long by 11 inches wide. Ramon makes a border around the watercolor painting by making a mat that adds 3 inches to each side of the length and the width. What is the area of the mat?

Answers

Given: It is given that the length of the painting is 24 inches and the width is  11 inches.

To find: Area of the mat

Solution:

The watercolor painting is 24 inches long by 11 inches wide.

So, the area of the painting is:

[tex]\text{Area of painting}=l\times b[/tex]

[tex]\text{Area of painting}=24\times 11[/tex]

[tex]\text{Area of painting}=264 \text{ in}^2[/tex]

The length of painting with mat is = 24 in + 3 in + 3 in = 30 in

The width of painting with mat = 11 in + 3 in + 3 in = 17 in

[tex]\text{Area of painting with mat}=30\times 17[/tex]

[tex]\text{Area of painting with mat}=510 \text{ in}^2[/tex]

Now to calculate the area of mat subtracts the area of painting from the area of the mat.

[tex]\text{Area of mat}=\text{Area of painting with mat}-\text{Area of painting}\\[/tex]

[tex]\text{Area of mat}=510-264[/tex]

[tex]\text{Area of mat}=246 \text{ in}^2[/tex]

Hence, the area of the mat is 246 in².

Given: FH ⊥ GH; KJ ⊥ GJ

Prove: ΔFHG ~ ΔKJG

Triangles F H G and K J G connect at point G. Angles F H G and K J G are right angles.

Identify the steps that complete the proof.

Answers

Answer:

 

✔ all right angles are congruent

♦ =  

✔ angle FGH is congruent to angle KGJ

♠ =  

✔ AA similarity theorem

Step-by-step explanation:

i just got it right

Answer: 2,3,3

Step-by-step explanation:

6(n-3)-2n=10
solve n

Answers

i got -2. i hope that’s correct

Answer:

n=7

Step-by-step explanation:

6(n-3)-2n=10

Distributive Property

6n-18-2n=10

Combine like terms

4n-18=10

Addition property of equality with -18; add -18 to both sides

4n=28

Division property of equality; divide 4 from both sides

n=7

construction worker’s planned to secure a tall pole using two cables attached to the pole at a point 12 m above the ground as shown in the diagram below.
based on the information in the diagram which value represents the total length of the cable that is needed to secure the pole?

Answers

Answer:(24+12\3)m

Step-by-step explanation:

Ignacio is going on vacation. He needs to drive 520 miles in 8 hours. What is his average speed in miles per hour?​

Answers

Answer:

65 miles per hour

Step-by-step explanation:

520 divided by 8

Answer:

His average speed is 65 miles per hour.

Step-by-step explanation:

The answer is 65 because 520 divided by 8 is 65.

P.S Can I have brainliest?

Brisbane is 10 hours ahead of London and New York is 5 hours behind London. Arsh lives in Brisbane. At 12 noon on 5 November, Arsh calls Lily who lives in New York, what time and date is it in New York?

Answers

Answer:

9:00 pm, 4th November

Step-by-step explanation:

Since ;

Brisbane is 10 hours ahead of London

New York is 5 hours behind London

Then, Brisbane is (10 + 5)hours ahead of New York.

Then Brisbane is 15 hours ahead of New York

Time and Date Brisbane resident called New York = 12 Noon, 5th November

Time and Date in New York will be :

(12 Noon - 15 hours) = 9:00 pm, 4th November

Can i have some help please

Answers

Answer:

bababooey

Step-by-step explanation:

PLEASE I NEED HELP!!!!!!!!!

Answers

Answer: Its 5 1/12 hope this helped!!!

Answer

Answer = 278/63 as in the pic

6x + ? = 0
? =
Does anyone know the answer to this

Answers

The answer is -6x because they’ll cancel out = 0
the answer is -6x .

Mr. Snow keeps a list of vocabulary terms that he wants his students to memorize from the textbook.

He began the year with 15 terms on the list. Of the 35 new terms in each chapter, Mr. Snow puts the definition of 10 terms on the wall and adds the remaining terms to the vocabulary list to be memorized.
question:
the number of terms on the vocabulary list can be represented by a linear function. Identify the rate of change and initial value of this function. Explain what these value represent in term of the situation.

Answers

Answer:

Step-by-step explanation:

35(6)x12=224

could you help me with this

Answers

Answer: 40

Step-by-step explanation:

All you have to do is divide it. However, the actual answer is 40.5, but I'm sure that they round it.

Answer:

There would be 40

Step-by-step explanation:

Karim uses a total of 20 cups of batter to make x cupcakes and a cake. He uses cup of batter for each cupcake and 4 cups of batter for the cake. How many cupcakes, x, can Karim make if he uses all the batter?​

Answers

Answer:

16 cupcakes

Step-by-step explanation:

Total cups of batter = 20

He uses 4 cups for cake and the rest for cupcakes

Number of cupcakes is:

x = 20 - 4 = 16

Find the solution to the system of equations.
A. (1, 4)
B. (4, 1)
C. (0, 3)
D. (4, –1)

Answers

Answer:

it should be A but im not fully sure

Answer:

B (4,1). ( look at the point of intersection x-axis is at 4 and y is at 1) so it is (4,1)

Find x.
Side splitter theorem

Answers

Answer:

x = 9

Step-by-step explanation:

The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{8}{8+4}[/tex] = [tex]\frac{x-3}{x}[/tex] , that is

[tex]\frac{8}{12}[/tex] = [tex]\frac{x-3}{x}[/tex] ( cross- multiply )

12(x - 3) = 8x

12x - 36 = 8x ( subtract 8x from both sides )

4x - 36 = 0 ( add 36 to both sides )

4x = 36 ( divide both sides by 4 )

x = 9

The problem it takes one week for a crew of workers to have 3/ 5 km of a road at that rate is how long will it take to pave 1 km

Answers

It will take them 2 weeks

Last week, Clay had a beginning balance of $50 in his account. He wrote 2 checks for $23 each from his checking account , withdrew another $5, and finally made a deposit of $22. Part A: Write an expression and your answer to show his final account balance at the end of the week 23 * 2 = 46 Part B: Explain in words, what Clay should do to get his accaunt balance to zero?

Answers

Answer:

Part A

y =($50 - ($23 × 2 + $5)+ $22)

y = $21

Part B

Clay can get his balance to zero by withdrawing or writing another check for $21

Step-by-step explanation:

Last week, Clay had a beginning balance of $50 in his account. He wrote 2 checks for $23 each from his checking account , withdrew another $5, and finally made a deposit of $22.

Part A: Write an expression and your answer to show his final account balance at the end of the week 23 * 2 = 46

Let his final Account Balance = y

y =($50 - ($23 × 2 + $5)+ $22)

y =$72 - $51

y = $21

Part B: Explain in words, what Clay should do to get his account balance to zero?

Clay can get his balance to zero by withdrawing or writing another check for $21

= $21 - $21

= $0

What is an
equation of the line that passes through the points (-8,4) and (-8, 8)?

Answers

Answer:

X= -8

Step-by-step explanation:

Lesson 4-1 Solving Systems of Equations by Graphing

Answers

Answer:

Where's the question?

Step-by-step explanation:

Answer:

we cant answer it theres no backup to the question

Step-by-step explanation:

please help and please explain

Answers

Answer:

D

Step-by-step explanation:

Quadrant II is the top right corner.  Both of the values are positive there so the only correct answer is D.

Hope this helps!

Hey guys this is confusing, someone plz help

Answers

Answer: x = 13

Step-by-step explanation:

To find the value of x, you have to find ∠QRP

∠QRP + ∠QRS = 180

∠QRP + 95 = 180

Subtract 95 from both sides

∠QRP = 85

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(4x + 3) + (3x + 1) + 85 = 180

Subtract 85 from both sides

(4x + 3) + (3x + 1) = 95

7x + 4 = 95

Subtract 4 from both sides

7x = 91

Divide 7 from both sides

x = 13

Which statement about 2 + 3x is true?
O A. There are four terms in 2 + 3x.
O B. 2 + 3x is a product.
O C. 2 + 3x is a quotient.
D. 3 is the coefficient of x.

Answers

d, 3 is the coefficient of the variable x

Last Thursday was costume day at Terrence's school. 50% of the 272 students wore a costume. How many students wore a costume?

Answers

Answer:

136

Step-by-step explanation:

272÷2=126

plzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

2x power of 2 +7x+3

Step-by-step explanation:

Multiply the parenthesis together.

2x squared +6x +x +3

2x squared +7x+3

Answer:

2x^2 + 2x + 3

Step-by-step explanation:

b) 7+2x/3 =5
helppppp

Answers

Answer:

4

Step-by-step explanation:

7+2x/3=5

7+2x. = 15

2x. =8

x. = 4

i hope it is helpful

Answer:

[tex] \frac{3x + 4}{2} = 9.5 \\ 3x + 4 = 19 \\ 3x = 15 \\ \boxed{x = 5}[/tex]

[tex] \frac{7 + 2x}{3} = 15 \\ 2x + 7 = 45 \\ 2x = 38 \\ \boxed{x = 19}[/tex]

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