Dana invests £5000 for 4 years in a savings account She gets 2% per annum compound interest in the first year, then x% for 3 years, Dana has £5508.23 at the end of 4 years, work out the value of x.

Answers

Answer 1

Answer:

£1,330.46

Hope this helps, mate!

Step-by-step explanation:

Hope this helps, mate! :)


Related Questions

Gertrude takes out a $5,500 subsidized stafford loan, which must be paid back in ten years. gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and gertrude makes monthly payments, how much interest will she pay by the time the loan is repaid? round all dollar values to the nearest cent. a. $4,462.40 b. $1,213.28 c. $1,713.69 d. $2,094.80

Answers

The total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

What is compound interest?

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and Gertrude makes monthly payments.

Put the values in the above formula as,

[tex]5500=P_{mt}\times\left(1-\dfrac{6.8}{12\times100}\right)^{-12\times10}\\P_{mt}=63.29[/tex]

In the 10 years, the refund she gets,

[tex]A_r=63.29\times12\times100\\A_r=7594.8[/tex]

Interest paid by her is,

[tex]I=7594.8-5500\\I=2094.8[/tex]

Thus, the total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

Learn more about the compound interest here;

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Answer: D

Step-by-step explanation:

Solve each system by graphing. Y=x-4 and y=-x

Answers

Check the picture below.

Find the distance between the points 4,7 and -5,7

Answers

Answer:

9

Step-by-step explanation:

Horizontal line from 4 to -5.

Distance formula is: [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

       [tex](x_{1},y_{1}) = (4,7)\\(x_{2},y_{2}) = (-5,7)[/tex]

Thus let us plug in all the know values and solve:

      [tex]\sqrt{(-5-4)^2+(7-7)^2} =\sqrt{(-9)^2} =\sqrt{81} = 9[/tex]

Thus the distance is 9

Hope that helps!

Write the decimal equivalent for 9 over 5.

Answers

divide 9 by 5 u will get 1.8 as the answer

Answer:  1.8

Explanation:

9 over 5 = 9/5 = 18/10 = 1.8

You can also use long division as shown below.

Or you can use your calculator to quickly get this value.

. A sample of bacteria cells in a petri dish increases by 50% every hour. A scientist
starts with a sample of 30 bacteria cells. Write an equation that can be used to
determine the number of cells after x hours.

2. how many bacteria cells will be present in the dish after 3 hours?


3.how many bacteria cells will be present after 12 hours?

Answers

Answer:

you first divide fifty out of one hundred then we multiply it by thirty

2x = 37 find solve of x

Answers

Answer:

18.5

Step-by-step explanation:

37 divided by 2 is 18.5

will give brainliest!!

Evaluate [(40 + 5) – 321 = 9.2
- 9.3
- 8.6
- 8
- 2

Answers

Answer:

The answer should be 9.2

Step-by-step explanation:

Im lowkey kinda lost in this one ngl

Brody rearranged the entertainment room at his house. Before the move, he had his game console plugged into an electrical cord that was 60 inches long. After he moved everything, he had to add an additional cord that was 2 feet long.

How many feet of electrical cord did he use altogether?

Answers

Answer:

7 feet

Step-by-step explanation:

60 inches is 5 feet add the 2 feet

Please help!

A: 128°
B: 92°
C: 36°
D: 52°​

Answers

sum of triangle angles = 180

so

? = 180 - 36 - 92 = 52°   => D

At Frome International train station, 35% of trains were late in a week.
In that week there were 440 trains.
Calculate how many trains were on time.

Answers

Answer: Two rational numbers between 1/3 and 1/5 are 4/15 and 7/39.

Step-by-step explanation:

The Chen family drove 345.6 miles on their vacation. They drove the same amount each day of the the 3 days. How many miles did they drive each day?

_____ miles

Answers

Answer:

115.2

Step-by-step explanation:

Take 345.6 miles and divide it by 3 getting your answer. Have a great day!

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!

Answers

The answer is A. 8.20

The table has been created just we need the formula to utilise

The formula is given by

[tex]\\ \rm\Rrightarrow \sigma=\sqrt{\dfrac{\sum f(x-\overline{x})^2}{n}}[/tex]

Find f(x-x^-)²

It's

313.29+806.45+474.32+72.9+58.19+532.9+605.16+0+497.293360.5

Now

[tex]\\ \rm\Rrightarrow \sigma=\sqrt{\dfrac{3360.5}{50}[/tex]

[tex]\\ \rm\Rrightarrow \sigma=\sqrt{67.21}[/tex]

[tex]\\ \rm\Rrightarrow \sigma=8.2[/tex]

Question 7 (1 point)
Which polynomial is equivalent to x2 + 3x ?
O a
-
-
Ob
-
-3 (22 – 2x) + 4x (x + 3) - 12x
3 (22 + 2x) - 4x (x - 3) + 3x
-3 (x2 + 2x) + 4x (x + 3) - 3x
3(x2 - 2x - 4x (x - 3) + 12x
ос
Od
-
-
-

Answers

Answer:

Option C

-3(x² + 2x) + 4x(x + 3) – 3x

Step-by-step explanation:

a.)-3(x² – 2x) + 4x(x + 3) – 12x

-3(x² – 2x) + 4x(x + 3) – 12x

-3x² + 6x + 4x² + 12x – 12x

4x² – 3x² + 6x + 12x – 12x

x² + 6x

Here, The answer is x² + 6x but our required answer is + 3x. So, option a is not the answer.

b.)3(x² + 2x) – 4x(x – 3) + 3x

3(x² + 2x) – 4x(x – 3) + 3x

3x² + 6x – 4x² + 12x + 3x

3x² – 4x² + 12x + 3x + 6x

-x² + 21x

Here, The answer is -x² + 21x but our required answer is x² + 3x. So, option b is not the answer.

c.)-3(x² + 2x) + 4x(x + 3) – 3x

-3(x² + 2x) + 4x(x + 3) – 3x

-3x² – 6x + 4x² + 12x – 3x

4x² – 3x² – 6x + 12x – 3x

+ 3x

Here, The answer is x² + 3x and our required answer is x² + 3x. So, option c is the answer.

Thus, The correct answer is option c.

Camden invested $1400 in an account that pays 4.5% interest compounded annually Assuming no deposits or withdrawals are made, find how much money Camden would have in the account 12 years after his initial investment. Round to the nearest tenth ( if necessary)

Answers

The amount of money Camden would have in his account after 12 years is equal to $2,374.3.

How to calculate compound interest.

To calculate how much money Camden would have in his account after 12 years, we would use the formula for compound interest.

Mathematically, compound interest is given by this formula:

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

Where:

A is the balance.P is the principal or starting amount.R is the interest rate.T is the time measured in years.

Given the following data:

Principal = $1400.

Interest rate = 4.5% = 0.045.

Time = 12 year.

Substituting the given parameters into the formula, we have;

[tex]A=1400(1+0.045)^{12}\\\\A=1400(1.6959)[/tex]

A = $2,374.3.

Read more on interest here: brainly.com/question/24341207

Solve the System of equations x = -2 ; y = 3 .(Choose from a,b, or c. Show your work step by step).


a) x+y=1

2x+y=5




b) x+2y = 4

x +y = 1



c) x-y=-5

x+y= 11


Pls show your work as I want to understand how to solve this type of equation.

Answers

Answer:

B is a the answers for the question

please mark me as brainlest

The radius of a cylindrical construction pipe is 2 ft. If the pipe is 24 ft long, what is its volume?
Use the value 3.14 for I, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
2 ft
24 ft

Answers

Answer:

96π ft³ or 301.44 ft³

Step-by-step explanation:

Volume = Base Area x Height

V = (πr²)(h)

V = (π)(2²)(24)

V= 96π ft³

An electrician has an income of $41,500. The income tax the electrician has to pay is 12%. What is the amount of income tax that the electrician has to pay? A) $3,840 B) $4,164 C) $4,980 D) $5,210

Answers

Answer:

he has to pay 4980$ in tax

Step-by-step explanation:

Answer:

This question was on my test and I got a 100 so its right

Step-by-step explanation:

Find the measure of Zv.
V
D
48°
87°
E

Answers

Answer:

45°

Step-by-step explanation:

A triangle in total is 180 degrees, add the 48 and 87 to get 135, subtract that from the total 180 to get your answer, 45 degrees.

Hope this helps!

Answer:

45

Step-by-step explanation:

♤interior angles of a triangle add up to 180♤

let angle V= x

48+87+ x= 180

135+x=180

x=180-135

=45

-4x - 8 = -(5x + 3) pleasee

Answers

hopefully it's correct!!

Answer:

x = 5

Step-by-step explanation:

-(5x + 3) --> -5x - 3

-4x - 8 = -5x - 3

-4x - 8 + 8 = -5x - 3 + 8 (add 8 to both sides)

-4x = -5x + 5

-4x + 5x = -5x + 5 + 5x (add 5 to both sides)

x = 5

Hi
Can u please help
i will pick the best one

Answers

AB will be the better choice because of its axle

Please do number 10. Thanks.

Answers

Answer:

379.94

Step-by-step explanation:

area of a circle is pi*radius squared. Radius is 11. 11*11=121. Now all you have to do is multiply 3.14*121. 3.14*121=379.94

The equation for the area of the circle ⇒ [tex]\pi r^2[/tex]

r: length of the radius --> 11cm[tex]\pi[/tex] --> 3.14

Now lets plug in all the known values in the equation:

    [tex]\pi r^2=3.14 * 11^2 = 3.14 * 121 = 379.94[/tex]

Thus it wants the answer rounded to the nearest whole number, so

   Answer: 380 square centimeters

Hope that helps!

   

The perimeter of a rectangle is 12 meters. Find the maximum area of such a rectangle. You must support your answer with calculus; an answer without support will receive no credit

Answers

Answer:

9

Step-by-step explanation:

12 divided by 4 is 3

3 multiplied by 3 is 3

The maximum area of the rectangle that has a perimeter of 12 meters would be equal to 6x - x^2.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Let x be the length of the rectangle and y be the width of the rectangle

The perimeter of a rectangle = 2( l + b)

                                         12   =   2(x + y)

                                         (x +y) = 6

                                             y = 6- x

The area of the rectangle = length × Width

                                          = x × y

                                          = x ( 6- x)

                                          = 6x - x^2

Learn more about the area;

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#SPJ4

Can you help me with this

Answers

Answer:

the anwer is d

I did the math

C.
10 to the Ninth power is 1, 000,000,000
1,000,000,000 x 8.06 = 8,060,000,000

How do I do this? Someone please help

Answers

The volume is [tex]135cm^3[/tex]

basic set of drawing pencils costs $8.98. A professional set of drawing pencils costs $27.49. How much more does the professional set cost than the basic set?

ASAP

Answers

$18.51

Step-by-step explanation:

assuming you dont need the cost per pencil or anything...

pro set: $27.49

basic set: $8.98

subtract basic from pro.

27.49-8.98= $18.51

Answer:

I know this is a little late but your answer is 18.51

Ian is preparing for his trip to South Korea. He has a total budget of 2,192,896 won for his entire trip. If he calculates that he will need 85,210 won for an extended travel pass, 725,726 won for his plane tickets, 203,396 won for food, and 322,800 won for his hostel room, how much does he have left for spending money and miscellaneous expenses? a. 1,337,132 won b. 1,026,184 won c. 855,764 won d. 830,456 won.

Answers

An equation is formed of two equal expressions. The amount that is left with Ian to spend is 855,764 won.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The total expenses that Ian has to do are the cost of an extended travel pass, cost of plane tickets, cost of food, and cost of his hotel room. Therefore, the total cost can be written as,

Total Cost =  Cost of an extended travel pass + Cost of plane tickets + Cost of food + Cost of his hotel room

Total Cost = 85,210 won + 725,726 won + 203,396 won + 322,800 won

                  = 1,337,132 won

The budget for the entire trip of Ian is 2,192,896 won, while his total expenditure is 1,337,132 won, therefore, the amount that will be left for spending by Ian can be written as,

Amount left for Spending  = Total Budget - Total Cost

                                            = 2,192,896 won - 1,337,132 won

                                            = 855,764 won

Thus, the amount left with Ian to spend is 855,764 won.

Learn more about Equation:

https://brainly.com/question/2263981

Answer:

Ian is preparing for his trip to South Korea. He has a total budget of 2,192,896 won for his entire trip. If he calculates that he will need 85,210 won for an extended travel pass, 725,726 won for his plane tickets, 203,396 won for food, and 322,800 won for his hostel room, how much does he have left for spending money and miscellaneous expenses?

a.   1,337,132 won

b.   1,026,184 won

c.   855,764 won<<<CORRECT

d.   830,456 won

Step-by-step explanation:

2022 EDGE TOPIC TEST

Ralph is covering a bulletin board with colored sheets of paper. The ratio of the number of sheets of red paper to the number of sheets of pink paper is 1 to 3. How many sheets of pink paper will Ralph need if he uses 3 sheets of red paper?

Please help ASAP!!

Answers

Answer:C, 9 sheets

Step-by-step explanation:

Answer: It's true, it's 9.

Step-by-step explanation:

A sculpture in the shape of a triangular pyramid has a height of 10 feet. The area of the base of the sculpture is 12 square feet. What is the volume of the sculpture in cubic feet?

Answers

The volume of the sculpture with triangular pyramid shape is 40 feet³

What is volume?

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of a pyramid is given as:

Volume = (1/3) * base area * height.

For pyramid with base of 12 feet² and height 10 feet, hence:

Volume = (1/3) * 12 * 10 = 40 feet³

The volume of the sculpture with triangular pyramid shape is 40 feet³

Find out more on volume at: https://brainly.com/question/12410983

The points go from 0 to 6 or -6. Please help asap

Answers

Answer:

either one

Step-by-step explanation:

it is going through the origin, so it is going forever in each direction

What is the mean absolute deviation of Madison's exercise times?
Madison's
Exercise Times
20
25
35
40
55

Answers

Answer:

5

Step-by-step explanation:

Answer:

The mean absolute deviation would be 10.

Step-by-step explanation:

I calculated the answer in Microsoft excel. I used a bunch of excel formulas. I do not know how to insert some of the math symbols neccessary to show you my steps. Here is a picture of the formula.

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