A
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:

Intital investment= £6,911.57

Step-by-step explanation:

Giving the following information:

Future Value (FV)= £8,001

Number of periods (n)= 3 years

Interest rate (i)= 5% = 0.05 compounded annually

To calculate the initial investment (PV) needed to reach £8,001 (over £8,000) in 3 years, we need to use the following formula:

PV= FV / (1+i)^n

PV= 8,001 / (1.05^3)

PV= £6,911.57


Related Questions

PLZ HELP :(
The area of the green square is 9 ft. The area of the red square is 16 ft?
What is the length of side c?
A)5 ft
B)25 ft
C)81 ft
D)128 ft

Answers

Answer:

A) c = 5 ft

Step-by-step explanation:

a = 3

b = 4

3^2+4^2 = c^2

c^2 = 9+26 = 25

c = 5

Answer:

B

Step-by-step explanation:

Unfortunately, I dont really have a explanation for this besides yellow square is larger than both red and green, so using judging by the answers, it has to be B.

Find x. Round to the nearest tenth.
4
6
5

Answers

Answer:

7.5

Step-by-step explanation:

The ratio between the two numbers in each set are the same, so the process used to get from 4 to 6 could also be used to find x. 6/4=1.5, so 4*1.5=6. Multiplying 5 by 1.5 would get x. 5*1.5=7.5, so x=7.5.

Fill in the missing number to complete the equivalent fraction show what you multiply or divided by convert each improper fraction to a mixed number or whole number

Answers

Answer:

3a) 5/45 you divide by 5

3b) 6/7 you divide by 2

3c) 2/7 you divide by 9

3d) 2/5 you divide by 9

4a) 6

4b) 1 1/4 or 5/4 (both are correct)

4c) 3 1/2 or 3 3/6 (both are correct)

4d) 5 1/8

The fraction bar tells you to divide the top number by the bottom number.

Step-by-step explanation:

For 3a through 3d, you just use the fraction that has a missing number, and if the missing number is at the bottom, use the top number and devide it by the other top number that the fraection is equal to.

For 4a through 4b, devide the top the bottom number

what are some numbers not in scientific notation?

Answers

This is not in scientific notation because 0.425 is less than 1. The correct answer is 4.25 x 106. Incorrect. This is not in scientific notation because 42.5 is greater than 10.

50 points! Please help fast this is due soon and it confuses me. Will mark brainliest. Random answers will be reported. Please help with both of you can

Answers

Answer:(5,3)

Step-by-step explanation:

Answer:

Question 1. CQuestion 2. D

Step-by-step explanation:

Question 1

Reflection of point (5, -3) across line y = x is symmetrical point:

(x, y) → (y, -x)(5, -3) → (-3, 5)

Correct choice is C

See attached

Question 2Coordinates of A = (4, 3)Coordinates of A' = (-3, 4)

This is 90° counterclockwise or 270° clockwise rotation

(x, y) → (-y, x)(4, 3) → (-3, 4)

Correct choice is D

Savannah sets her watch 10.03 seconds behind and it falls behind another 1.09 seconds everyday. How many days has it been since Savannah last set her watch if the watch is 36.19 seconds behind?

Answers

Answer:

24

Step-by-step explanation:

36.19=10.03+1.09x

36.19-10.03=1.09x

26.16=1.09x

x=26.16/1.09

x=24

Max built a new table. The table top is a rectangular piece of wood that is 3.31 meters long and 0.852 meter wide. Help pls.



Help asap thaxs

Answers

Part A 3 and 1
Part B 3.3 and 0.9

Create and solve
an equation with
2 variables(x).

Answers

Answer:

5x-2=3x+4

x=3

Step-by-step explanation:

Hope I helped!

‼️‼️‼️‼️‼️‼️‼️‼️HELP PLEASE ASAP ‼️‼️‼️‼️‼️‼️

Answers

Answer:

C I think

Step-by-step explanation:

Answer:

A, f(x) ≥ -36

Step-by-step explanation:

The range is all the possible y values, also called f(x) values.

In this case, the range of the graph extends from -36 to infinity, so the correct answer is f(x) ≥ -36.

Let me know if this helps!

If a friend is struggling with factoring. Explain the process to factor 3xsquare-5x-12

Answers

Answer:

Factor 3x2−5x−12

3x2−5x−12

=(3x+4)(x−3)

Answer:

(3x+4)(x−3)

the difference between two numbers is 308 328. if the smaller number is 6 524, what is the larger number?​

Answers

314,852
I mean this one is really simple, it just seems hard. So all u have to do is this:
308,328+6,524=314,852
Now subtract to double check
314,852-308,328=6,524.
And yep it’s correct.
I hope this helped, please give brainliest if it helped

The larger number is 301804

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

The smaller number =6 524,

The difference between two numbers = 308 328

Now,

Let the missing number be x

x-6524=308328

x=308328-6524

x=301804

Therefore, the larger number of algebra will be 301804.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

In a particular region, for families with a combined income of $57,000 or more, 12% have no children, 37% have one child, 43% have two children, and 8% have three children. Use this information to construct the probability distribution for X, where x represents the number of children per family for this income group. Arrange x in increasing order and write the probabilities P(x) as decimals.

Answers

Answer:

P(X = 0) = 0.12.

P(X = 1) = 0.37.

P(X = 2) = 0.43.

P(X = 3) = 0.08

Step-by-step explanation:

12% have no children

This means that P(X = 0) = 0.12.

37% have one child

This means that P(X = 1) = 0.37.

43% have two children

This means that P(X = 2) = 0.43.

8% have three children.

This means that P(X = 3) = 0.08

5/4 gallons of water fill 5/6 of a bucket. How many gallons of water fill the entire bucket?
I need an multiplication answer and division answer

Answers

5/4 : 5/6

= 5/4 * 6/5

= 1/4 * 6/1

= 1/2 * 3/1

= 3/2 = 1 1/2 = 1.5 gallons

Given: D(−1, 3), E(−3, −1), F(3, −1), G(−4, −3), and H(5, −3)
Prove: triangleDEF ~ triangleDGH

Answers

Answer:

Step-by-step explanation:

O

find the amount in an account after years if invested$5000 at 6% per year and is compounded quarterly​

Answers

Answer:

The amount of money in the account after t years is given by: [tex]A(t) = 5000(1.015)^{4t}[/tex]

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

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

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Invested $5000 at 6% per year and is compounded quarterly​

This means, respectively, that [tex]P = 5000, r = 0.06, n = 4[/tex]

So, the amount of money in the account after t years will be given by:

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

[tex]A(t) = 5000(1 + \frac{0.06}{4})^{4t}[/tex]

[tex]A(t) = 5000(1.015)^{4t}[/tex]

Which of the following are solutions to the cubic equation x^3+4x^2+4x=0

X=2i, x=-2i, x=0, x=2, x=2

Answers

Answer:

337285

Step-by-step explanation:

pls help me with questions 2-7 i will give brainiest and i also just need the equations

Answers

Answer:

2) y=-2x+3

3) y=[tex]\frac{1}{2}[/tex]x+2

4) y=2x-5

5) y=[tex]\frac{2}{3}[/tex]x+2

6) y=-3x+5

7) y= [tex]\frac{2}{3}[/tex]x-1

Which lines are parallel to 8x + 2y = 7? Select all that apply.

Answers

9x+2y=7 hear something

Answer:

9x+2y=7 hear something

Step-by-step explanation:

for each sequence find the first 4 terms and the 10th term

Answers

Answer:For these, n is equal to the term you want. So you substitute the number in for whichever term you want. This means:

a) 1 (1st term) + 5 = 6

2 (2nd term) + 5 = 7

3 (3rd term) + 5 = 8

4 (4th term) + 5 = 9

10 (10th term) + 5 = 15

And so on for b (not going to keep writing the term, I’m sure you get that by now.

b) 2(1) - 1 = (2x1) - 1 = 1

2(2) - 1 = (2x2) - 1 = 3

2(3) - 1 = (2x3) - 1 = 5

2(4) - 1 = (2x4) - 1 = 7

2(10) - 1 = (2x10) - 1 = 19

Hope this helps :)

y-8=6 what is the answer

Answers

Answer:

[tex]y = 6 + 8 \\ y = 14[/tex]

look at screenshot please help

Answers

number 5 is the answer

List the smallest three values in the set below .
{x | x € E and x < 30)

Answers

That is a very confusing thing

(2 points) (a) What operation on both sides of the equation 8x = 72 isolates the variable on one side? There may be more than one correct answer.
A. Multiplying by 8
B. Dividing by 8.3
C. Multiplying by 1/8
D. Adding 8
E. Subtracting 8x
F. Dividing by 8
G. Dividing by 72​

Answers

Answer:

Dividing by 8 on both sides

Step-by-step explanation:

According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. [Round your answers to three decimal places, for example: 0.123]

Compute the probability that a randomly selected peanut M&M is not blue.

Correct


Compute the probability that a randomly selected peanut M&M is brown or yellow.

Correct


Compute the probability that two randomly selected peanut M&M’s are both orange.

Correct


If you randomly select two peanut M&M’s, compute that probability that neither of them are blue.

Incorrect

If you randomly select two peanut M&M’s, compute that probability that at least one of them is blue.

Answers

Answer:

salution

Step-by-step explanation:

Which of the following statements is always true? a. Workers being paid on commission make less money than if they are salaried. b. Workers being paid on commission have a salary that varies based on their performance. c. Workers being paid on commission are stressed over the amount of earnings they will have. d. Workers being paid on commission increase the accounting costs of the employer. Please select the best answer from the choices provided A B C D Mark this and return

Answers

Answer:

B

Step-by-step explanation:

Answer:

bbbbbbbbbbbbbbbbbbbbb

Step-by-step explanation:

This Test: 12 pts poss
12 of 12 (10 complete)
This Question: 1 pt
mg
Awaitress sold 18 ribeye steak dinners and 27 grilled salmon dinners, totaling $587.93 on a particular day. Another day she sold 26 ribeye steak dinners and 9 grilled salmon
dinners, totaling $584.62. How much did each type of dinner cost?
The cost of ribeye steak dinners is $and the cost of salmon dinners is $
(Simplify your answer Round to the nearest hundredth as needed.)
O

Answers

Answer:

Ni idea la verdad no entiendo

Need help with the question below

Answers

Answer:

Incorrect

Step-by-step explanation:

The formula for slope is [ y2-y2/x2-x1 ] and Emma calculated the slope using the opposite of the formula [ x2-x1/y2-y1 ]. That was her mistake.

300-900/180-165

-600/15

-40

Best of Luck!

7x +4 what property is it

Answers

Answer:

commutative property of multiplication

Step-by-step explanation:

Which equation represents a line which is perpendicular to the line y=-1/7x-3

Answers

Answer:

Step-by-step explanation:

To be perpendicular m1(m2)=-1

-1m/7=-1

m=7

So the perpendicular line will have 7 as the linear coefficient

y=7x+b

40 POINTS PLS HELP I WILL ALSO GIVE BRAINLY (ANSWER THE BOXES ON BOTTOM RIGHT)

Answers

Answer: See explanation

Step-by-step explanation:

ΔLNM and ΔLKN are 30°- 60°- 90° triangles

We have to find the length of LN before we can find the length of MN.

In a 30°- 60°- 90° triangle, the length of the hypotenuse is 2 times the length of the shorter leg, and the length of the longer leg is the length of the shorter leg times √3

Since the hypotenuse is 6, the short leg would be 3 since the hypotenuse is 2 times the length of the short leg.

LN = √3 times the shorter leg

3 × √3 = 3√3

LN = 3√3

We now know the length of the longer leg in ΔLNM (3√3)

MN would be 3√3 × √3

3√3 × √3

= 3√9

= 3 × 3 = 9

MN = 9

ΔLKM is also a 30° - 60° - 90° triangle

The short leg is 6 m

The hypotenuse would be 12 m

The longer leg would be 6√3

Perimeter: 6 + 12 + 6√3

The perimeter is 18 + 6√3

Area: 1/2 × b × h

b = 6√3

h = LN = 3√3

6√3 × 3√3

18√9 = 18 × 3 = 54

Area: 54 m²

Hope it helps!!

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