Cynthia invests some money in a bank which pays
5% compound interest per year.
She wants it to be worth over £8000 at the end of 3
years.
What is the smallest amount, to the nearest pound, she can invest?

Answers

Answer 1

Answer:

£6911 is the smallest amount Cynthia should invest to get £8000 after three years

Step-by-step explanation:

lets Assume that amount needs to invested for three years = £ x Rate of Interest = R = 5% per year Duration in years = n = 3 year

Amount expected after three years when compounded annually =  A = £8000 Formula for Amount of compound interest annually is a follows A = P( 1 + R/100)^n In our case Principal P = x , Amount A = 8000 , R = 5% and n = 3( since compounded annually). On substituting these values in above formula we get 8000 = x ( 1 + 5/100)^3 ⇒8000 = x ( 105/100)^3 ⇒8000 = x ( 21/20 )^3 ⇒(8000 × 20 × 20 × 20)/(21×21×21) = x ⇒x = 6910.70≈6911

Hence £6911 is the smallest amount Cynthia should invest to get £8000 after three years


Related Questions

Can y’all please help me

Answers

Answer:

Rly lazy man.....

Step-by-step explanation:

1/2*l*w is the area of triangle, plug in values...

1/2*4.5*6.6

14.85 square feet is the area

Answer:

A=14.85

Step-by-step explanation:

[tex]A=\frac{ab}{2}[/tex]

"ab' are the lengths of the sides

[tex]A=\frac{(4.5)(6.6)}{2} \\\\A=\frac{29.7}{2} \\\\A=14.85[/tex]

Hope this helped and answered your question! Have a great day/night!

What is the missing term?
-4.-12.x
12.-4 .
2x
?
2.2

+1

Answers

Answer:

Step-by-step explanation:

The question is not displaying correctly.

4x·3x = 12x²

Kareem and Lena each open a savings account today. Kareem opened his account starting amount of $370, and he's going to put a $95 per month. Lena opened her account with the starting amount of $850, and she's going to put in $35 per month. let x be the number of months after today.

a- for each amount write an expression for the amount of money in the account after x months

b-write an equation to show into accounts would have the same amount of money​

Answers

Answer:

D= It is the total number of data points in the data set, which is also the sum of the row totals or the column totals.

Step-by-step explanation:

   

Joni sold 376 tickets for the school play. Student tickets cost $4 and adult tickets cost $7. Joni’s sales totaled $2080.

Which system of equations below will determine then number of adult tickets, a, and the number of student tickets, s, that Joni sold?

Answers

Answer:

(4s+7a) 376=2080

Step-by-step explanation:

(4s+7a) 376=2080

2080, I got this answer by (4s + 7a)376 and my answer came out to be 2,080

Mr. Wade took his family on an 8-hour boat trip. During the trip, the boat used 48 gallons of gasoline. The boat used the same number of gallons each hour. At what rate did the boat use gasoline?​

Answers

Answer:

6 gallons of gas an hour

Step-by-step explanation:

pls mark brainliest if correct

Answer:

6 gallons used per hour

Step-by-step explanation:

you would divide 48 by 8 because Mr. Wade used 48 after 8 hours.

Solve problem using substitution
a = 3b + 1
5b - 2a = 1

Answers

Solve for the first variable in one of the equations, then substitute the result into the other equation.

a=−13, b=−5
Hope this helps you !!!

Find the area of the given rectangle.

Answers

Answer:

3x^2+10x-48

Step-by-step explanation:

(3x-8)(x+6)

3x*x+18x-8x-48

3x^2+10x-48

Answer:

C

Step-by-step explanation:

plsssss help its easy!!!!!
(one question)

wrong answer for points=banned

Answers

Answer:

First that's a  quiz. Lol

Step-by-step explanation:

It is the 2'nd answer.

Your Welcome.

please condense and/or solve and show work. log8(x+1)-log base 8 of x=log base 8 of 7

Answers

Answer:

x=1/6

Step-by-step explanation:

since the base is the same, condense the equation

from log m base a=log n base n, m=n

Identify the coefficients in the expression -3h + 3 - 5 + h​

Answers

It’s 5-3x+9h ok so just do that

Answer:

-3, and 1

Step-by-step explanation:

-3 is the coefficient of h 1 is the co efficient of h

PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

The third one

Step-by-step explanation:

Answer:

the 3rd option

Step-by-step explanation:

because im smert

One of the sides of a parallelogram has the length of 5 in. can the lengths of the diagonals be: 4 in and 6 in?
PLEASE PROVIDE AN EXPLANATION

Answers

Answer:

Yes, the diagonals could be 6 and 7 in. In a parallelogram, only the opposite sides of the parallelogram are congruent.

Step-by-step explanation:

In a parallelogram, the diagonals bisect each other, so you can set the labeled segments equal to one another and then solve for . \displaystyle 20 - 3x = 2x - 4 \rightarrow 24 = 5x \rightarrow 4.8 = x. Then, substitute 4.8 for in each labeled segment to get a total of 11.2 for the diagonal length.

A store manager combines 2 lb of trail mix that contains some cashew nuts with 30 lb
of trail mix that is 20% cashews. The result is a trail mix that is 25% cashews. What is the concentration of cashews in the first mixture?

Answers

Answer:

100%

Step-by-step explanation:

Let  p = percent of cashews in first mix

2p = lb. of cashews in first mix

30(.20) =  6 = lb. of cashews in second mix

32(.25) =  8 = lb. of cashews in the combined mix

So,

lb. of cashews in first mix +  lb. of cashews in second mix = lb. of cashews in the combined mix

2p + 6 = 8

2p = 2

p = 1 = 100%

Answer:

100%

Step-by-step explanation:

I solved it and it was correct lol

choose the correct classification of 2x+10^2-x^3
a) third degree trinomial
b) fourth degree trinomial
c) sixTh degree polynomial
d) first degree binomial
can some one plss help me??​

Answers

Answer:

a) third degree trinomial

Step-by-step explanation:

The degree of a polynomial is the same as the degree of the term of the polynomial with the highest degree. The degree of a term is the sum of all the exponents of the variables of the term. Remember that a variable such as x, or y, or z has degree 1.

Now we look at the degree of each term:

2x: degree 1 (since x is the same as x^1)

10x^2: degree 2

-x^3: degree 3

The term with highest degree is the last term which has degree 3, so the degree of the polynomial is 3.

The polynomial has 3 terms, so it is a trinomial.

Answer: a) third degree trinomial

A should be your answer! Have a nice day!

(x - 7.49 = 87.3) what does the variable x=

Answers

Answer:

x= 94.79

Step-by-step explanation:

x= 87.3+7.59

x= 94.79

It works be 1,45 hope this helps

I WILL GIBE BRAINLEST


Liz created this table to show the ratio of red pencils to green pencils in her box. Identify the ratios that are equivalent to the ratio of red pencils to green pencils in Liz’s table. Red Pencils Green Pencils 2 6 4 12 6 18 8 24

Answers

Answer:

2:6

Step-by-step explanation:

I honestly don't know at all if this is correct or if I even get the question but what I did to get 2:6 was- for the reds which was 2, 4, 6, 8 it was +2 and for green which was 6, 12, 12, 24 was +6 which in the end gave me 2:6

NEED HELP WHAT IS THE SLOPE!!​

Answers

Answer:2/3

Step-by-step explanation:

Slope is 2/3

2/3 is the slope as slope can also be referred as gradient.

12 quarts of soil are used to completely fill 5 flower pots. If each pot holds the same amount of soil, how many quarts will each pot hold? as a mixed number as a mixed

Answers

Answer:

2.4 or 12/5 or 2 2/5

Step-by-step explanation:

) Which of the following is the correct equation of a vertical line that contains (5, 6)?

Answers

Answer:

[tex]y = {x}^{2} - 11x + 30[/tex]

please help ._. i’ll give brainliest-

Answers

Answer:

it equals .85 hope this helps!

Step-by-step explanation:

(29 points!!!)Enter the correct answer.
in the rectangle ABCD, BD =96. What is the length of ED?
Diagram not drawn to scale.
Numeric answer only Do NOT include units (degrees, inches, feet, etc).

Answers

Answer:

48

Step-by-step explanation:

Do 96/2=48

Can someone please help me! Thank youuuu!

Answers

Answer:

d

Step-by-step explanation:

i need help
38 = 15 + n ​

Answers

Answer:

n=23

Step-by-step explanation:

38=15+n

step 1 subtract each side by 15

23=n

n is equal to 23

hope this helps :)

Answer:

n=23

Step-by-step explanation:

38-15=23 you gotta subtract

Can somebody plz help solve this word problem using a equation or showing a way how u got the answer thx :3

WILL MARK BRAINLIEST WHOEVER ANSWERS THIS FIRST :DD!!

Answers

Answer:

598 possibly because you multiply 46 x 13

What is a improper fraction and a mixed multiplication

Answers

Answer:

Step-by-step explanation:

An improper fraction is a fraction that the numerator is greater than the denominator. As for a mixed fraction, that is a whole number with a fraction next to it.

In ΔJKL, the measure of ∠L=90°, KL = 11 feet, and JK = 32 feet. Find the measure of ∠J to the nearest tenth of a degree.

Answers

Answer: J = 20.1

Step-by-step explanation:

sin J = hypotenuse/opposite = 11/32

Sin J =11/32

J=sin-1(11/32)

J= 20.1055

Find the perimeter of the triangle NET

Answers

There’s no photo for the triangle NET

Which of the following best represents the dependent quantities in the graph below?

A. 2, 20, 4, 40
B. 2, 4, 6, 8
C. 20, 40, 60, 80
D. 10, 20, 30, 40, 50

Answers

Answer:

C

Step-by-step explanation:

Dependent quantity = y-value

Solve for x. Enter your answer in interval
notation using grouping symbols.
x2 + x < 20

Answers

Answer:

x<18

Step-by-step explanation:

2+x<20

Answer:

(-5, 4)

Step-by-step explanation:

x^2 + x < 20 can be rewritten as a quadratic in standard form:  x^2 + x - 20 < 0.  Recognize that the graph of x^2 + x - 20 is that of a parabola that opens up.  Because the y-intercept (0, -20) is below the x-axis, we know for certain tht the graph intersects the x-axis in two places.  Our job is to determine the two horizontal intercepts, which in turn determine the solution set.

x^2 + x - 20 = 0 factors as follows:  (x + 5)(x - 4) = 0, whose roots are -5 and 4.

These two roots form 3 intervals:  (-infinity, -5), (-5, 4) and (4, infinity).   We now must identify on which intervals x^2 + x - 20 is less than 0 (that is, on which intervals the graph is below the x-axis).  Choose three test values for x:  the first could be -6 (which is in the set (-infinity, -5) ); x^2 + x - 20 is + there, and so the graph is above the x-axis and x^2 + x - 20 is positive.  Reject this.  

Next, test x = 0; x^2 + x - 20 is negative there, meaning that x^2 + x - 20 < 0 and that x^2 + x < 20.  Thus, the solution is (-5, 4).  It can be shown that x^2 + x - 20 is positive again for x-values within the interval (4, infinity).

Evaluating

y=x+5
4x+y=20
show work

Answers

Answer:

(3,8)

Step-by-step explanation:

Step-by-step explanation:

put value of y in equation 2

4x + (x + 5) =20

open the brackets

5x + 5 = 20

5x = 20 - 5

5x = 15

x = 15/3

x = 5

putting value of x in y we get

y = 10

GOOD LUCK FOR THE FUTURE! :)

Other Questions
anyone know the answers to Espanol 1 capitulo 4 gramatica practica? Writing that is based completely on facts or develops thought or opinion is _____.nonfictionfictionhistory only What is the volume of 3.5 moles of carbon dioxide (CO2) gas at STP?0 6.40 |0.16 L0 78.4 LCannot be determined from the information given Which of these statements about the early days of the war in the Pacific are true? Check all of the boxes that apply.The United States had lost many planes and ships during the attack on Pearl Harbor.Japan quickly captured many islands and parts of South Asia.The Allies offered no resistance and pulled out of the entire Pacific region.Japan was defeating Allied forces and capturing many prisoners.Japan was suffering few losses of its own. According to the authors, what is the duty of the government, who gives a government its powers, and, more importantly, what can be done if the government does not do its duty? 44. An inequality that provides a boundary for a situationA. constraintB. parameterC. minimumD. maximum HELP QUICK!! solve by substitution and show work please 5. Name three different waves you use on a daily basis, Explain how you use them math question/help/please- please help Im so confused and my parents are gonna kill me if I dont get my homework done... What law did Congress pass in 1789? How does it connect to this case? Requiring witnesses to raise their right hand and swear to tell the truth. Is this an example of due process? Y/N What is the 30th term of the linear sequence? -5, -2, 1, 4, 7 Maribel, necesito el botiqun de primeros auxilios. Cubre tu herida de la pierna con la gasa.To whom would the directions above best apply? (1 point)A person with asthmaA person with a cutA person with itchy eyesA person with a sore throatLa dosis del jarabe para la tos es dos cucharadas cada da. Toma la medicina cada cuatro horas.For which scenario would the directions best apply? (1 point)A person with the fluA person with questions for the pharmacistA person who has an open woundA person who has twisted an ankle Question 8(Multiple Choice Worth 1 points) (06.04 MC) Which statement best explains how arteries and veins help maintain homeostasis? The carbon dioxide exhaled by the lungs is carried by the veins and arteries to the different parts of the body. Arteries carry oxygen-rich blood to the different parts of the body, and veins carry carbon dioxide-rich blood to the heart. Veins carry oxygen-rich blood to the different parts of the body, and arteries carry carbon dioxide-rich blood to the heart. The oxygen inhaled during respiration is carried around the body through blood by veins and arteries to maintain homeostasis. 1) You are working with an organization as a network manager. The organization hastwo offices in Abu Dhabi. Each office is equipped with 25 computers. Themanagement wants the smooth flow of information between both the offices anddoes not want any delay.a. Management has asked you to connect the computers in both the offices witheach other. What type of network will you suggest to them and what can besome possible benefits of using that network?b. The management wants that in the Head Office, there can be no access to datafrom outside. Which type of network will be your preference to implement inthat case and what will be the benefit of that? Ancient India scientific all of the following excepta. inoculationsb. the concept of zeroc. silk productiond. metallurgy ZHOU [PRONOUNCED CHOU]_____________________ LASTING DYNASTY IN CHINESE HISTORYUSED _________________________ TO CONTROL THE LARGE EMPIREDIVIDED THE LAND INTO A SMALL STATES TO MAKE IT EASIER TO RULEGIVING THE POWER TO THE _______________________WHEN THE ZHOU DYNASTY FELL, CHINA ENTERS THE WARRING STATESanswer all the questions for branilist Bossuet argues that kings are God's lieutenants on earth. Explain whathappens if those kings "use for evil a power which comes from God" (explainin one or two sentences).Valvor. of the 19 total sloths that were spotted how many were not seen in the 30 - 39 interval