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:

£6956.52

Step-by-step explanation:

Given data

R=5%

A= £8000

T= 3 years

P=???

The compound interest is

A=P(1+r)^t

8000= P(1+0.05)^3

8000= P(1.05)^3

8000= P1.15

P= 8000/1.15

P=6956.52

Hence she needs to invest £6956.52


Related Questions

PLEASE HELP MY TEST IS TIMED
(x+3)(x-1)
where are the zeros in this function?

Answers

Answer:

x=-3,1

Step-by-step explanation:

The roots (zeros) are the  

x

values where the graph intersects the x-axis. To find the roots (zeros), replace  

y

with  

0

and solve for  

x

.

what complex numbers graph is shown?​

Answers

Answer:

D.

Step-by-step explanation:

Took the test

What is the solution of the following system? Use the substitution method.
y – 2x = 8
16 + 4x = 2y

O The only solution is (24, 0).
O The only solution is (1, 10).
○There is no solution.
O There are an infinite number of solutions.​

Answers

Answer:

y-2x=8 (label equation 1)

16+4x=2y (label equation 2)

divide equation 2 by 2 to find y

y=2x+8

sub this in equation 1

(2x+8)-2x=8

2x+8-2x=8

8=8

once you get to this point because 8=8 there are an infinite number of solutions because you can't divide by 0. So the answer is B

select the correct button in the table to show whether each statement about the graph below is true or false ​

Answers

Answer:

True false true

Step-by-step explanation:

I think so

ill give brainliest to who can answer
2/4 x 5/9 = 3.14

Answers

Answer:

if the x is for multiplication this is a false statement the true answer would be5/8 if the x is a variable then x would =11.304

Step-by-step explanation:

Answer:

Hey i know its been a long time and im sorry but i was kind of hoping you would come back on so we could talk again sometime

Step-by-step explanation:

this is so confusing someone please help me out

Answers

[tex] \huge \purple{\tt{Answer:}} [/tex]

step 1 is wrong . The 1st step should be 15² - 9² = c² .

Answer: step A

Step-by-step explanation:

The Pythagorean theorem is a^2+b^2=c^2, where c is always the hypotenuse (the longest side of the triangle). Step A is written as 9^2(thats the a value squared)+15^2(which is the hypotenuse value squared)=c^2. It should be: 9^2+b^2=15^2

Help please!!!! EEEEEEEEEEEE

Answers

Answer:

f(-3)=(-3)²-2(-3)=9--6=9+6=15

Answer:

15

Step-by-step explanation:

f(x)=x^2-2x

f(-3)=(-3)^2-2(-3)

f(-3)=9+6

f(-3)=15

if + means × and - means ÷ and × means + and ÷ means - find 6÷8-2+5×20=​

Answers

Answer: C. 6

Step-by-step explanation:

Rephrase the expression

6÷8-2+5×20

6-8÷2×5+20

Do division

6-4×5+20

Do multiplication

6-20+20

Do subtraction

-14+20

Do addition

6

Hope this helps!! :)

Please let me know if you have any questions

Answer:

(C) 6

Step-by-step explanation:

Have a great day

x = 4y squared - 12

Work out the value of x when y=5

Answers

Answer:

0.0000000164

Step-by-step explanation:

x= 4y^-12

for,

y = 5

x = 4×5^-12

x = 4/5^12

x = 4/244,140,625

x = 0.0000000164

graph the solution to this inequality: 3/4(x+8)>1/2(2x+10)

Answers

Answer:

5

[tex]5y \times 3[/tex]

Which equation is NOT written in slope-intercept form?

Answers

Answer:

2x - 5 + 2y + 14 is not in slope intercept form

Step-by-step explanation:

Slope intercept form is y = mx + b

I would say the the answer is B

Hey eveyone. Im 7th grade 13 years old. Whenever i am at school i always think people think i smell bad. I dont know if its true. I put deoderant on take a shower and EVERYTHING. I dont wanna smell bad. It might just be in my head. Plz respond.

Answers

Answer:Researchers say a psychiatric condition characterized by a person's mistaken belief that he or she smells bad is vastly under-recognized. Called olfactory reference syndrome, the condition is "probably very common," says Katharine Phillips, MD, of Rhode Island Hospital in Providence. so you might just be thinking thst in your head man. just shower, brush teeth etc... or this could be a possibility...What causes the unpleasant smell is the bacteria that build up on your sweaty skin and react with sweat and oils to grow and multiply when sweat reacts with bacteria on the skin. These bacteria break down proteins and fatty acids, causing body odor in the process.

Step-by-step explanation:

A box is made of wood with its external dimensions of 154 cm x 100 cm x 84 cm and thickness of 2 cm.
How much wood was used to make it?

Answers

Answer:

Step-by-step explanation:

volume of 154×100×84 box = 1,293,600 cm³

dimensions of airspace = (154-4) by (100-4) by (84-4) = 150 by 96 by 80

volume of airspace = 150×96×80 = 1,152,000 cm³

volume of wood used = 1,293,600 - 1,152,000 = 141,600 cm³

EFGH is a square with diagonals EG and HF that intersects at O. What is the measure of m angle HOG

Answers

Answer:

show the whole pic of explanation

Figure ABCD is a square. Find the
value of x.
5x 2
D
x + 10
x = [?]

Answers

Answer:

x=3

Step-by-step explanation:

please help me with this problem and explain 10-3y=12

Answers

Answer:

10-3y=12

or, -3y=12-10

or, -3y=2

or, y= 2/(-3)

or, y= -(2/3)

hope you got your answer! :)

Write and expression for the calculation add 9 to the product of 4 and 5

Answers

Answer:

5×4+9

Step-by-step explanation:

The product of something means to multiply, so you would multiply 5 and 4 together.

Then you would add 9 to that.

arrange the variables so that they are on the same sides: -5w - 9 = 3w + 7

Answers

Answer:

-8w=16

Step-by-step explanation:

-5w-9+9 = 3w+7+9

-5w=3w+16

-5w-3w=3w-3w+16

-8w=16

To solve:

-8w/-8=16/-8

w = -2


What is the slope of the line shown above?

Answers

-7 hope that helps have a goody day

3x – 3y = -9
4x + 4y= 12


show me the steps for substitution?

Answers

Answer:

y=3 and x=0

Step-by-step explanation:

3x−3y=−9. i'm going to solve for x.

3x−3y+3y=−9+3y

3x=3y−9

3x/3=(3y-9)/3  to isolate x we have to divide everything by 3

x=y−3

so now that we have x we can substitute it in 4x+4y=12

4(y-3)+4y=12

4y-12+4y=12

8y-12=12

8y-12+12=12+12

8y=24

8y/8=24/8

y=3

we have y which equals 3, so now we can substitute it into any equation so solve for x again.

3x – 3y = -9

3x-3(3)=-9

3x-9=-9

3x-9+9=-9+9

3x=0

3x/3=0/3

x=0

so, final answers are y=3 and x=0

checking our work:

3(0)-3(3)=-9

0-9=-9

-9=-9 true

4(0)+4(3)=12

0+12=12

12=12 true

HEY CAN ANYONE PLS ANSWER DIS MATH PROBLEM!!!

Answers

there you go buddy -.-

Y=1/5(3-11x) hope this helps

Find the sum of 0.333......and 0.444....​

Answers

Answer:

0.777......

Step-by-step explanation:

0.333...... + 0.444....​..

= 0.777......

Hope it helps :)

Please mark my answer as the brainliest

Step-by-step explanation:

The sum of 0.333.... and 0.444... is 0.777......

Pls help!!! Pls help!!!

Answers

This is a summation notation also called the sigma notation.

In this case it means starting with k=0 what's the sum of (1+k!) for all integer k until 4

So we just need to find the sum 1+0!+1+1!+1+2!+1+3!+1+4!=5+1+2+6+24=8+30=38

at the brechin castle sugar factory, the normal working week is 40 hours, during a certain week Mr. Ramnath earned a total of $516.20, but $160.20 was for overtime. calculate how much per hour he is normally paid.

Answers

Answer:

$8.90

Step-by-step explanation:

first you have to subtract how much money you get for overtime, 516.20-160.20=356.00 Next you have to divide 356.00 by 40 to find per hour, 356.00/40=8.90.

Find the measurement and round to the nearest tenth.
[Law of Sines]​

Answers

Answer:  33.1

===================================================

Work Shown:

The uppercase letters A,B,C are the angles, while the lowercase counterparts (a,b,c) are the sides opposite those angles. For instance, side b is opposite angle B.

We have this known info:

A = 59 degreesC = 15 degreesc = 10 yards

The ultimate goal is to find side BC, which is opposite angle A. So this is side a.

Now apply the law of sines to solve for 'a'.

sin(A)/a = sin(C)/c

sin(59)/a = sin(15)/10

10*sin(59) = a*sin(15)

a*sin(15) = 10*sin(59)

a = 10*sin(59)/sin(15)

a = 33.1184013279463

Make sure your calculator is in degree mode.

This rounds to the nearest tenth to get a = 33.1 which is the approximate length of side BC.

HELP need more help giving brainless and 15 points

Answers

Answer:

c

Step-by-step explanation:

1 1/2 x1 1/2 x1 =2 and 1/4

2 and 1/4 x 8=18

I multiply three positive integers that are greater than 1 and get 333. Find one of the numbers.
those who answer first will be marked brainliest !

Answers

Answer: 3, 37

Step-by-step explanation:

Divide by 3, divide by 3 again. 37 is a prime number, so it can't be divided again after that.

In a sequence of numbers, a3=3, a4=7, a5=11, a6=15 a7=19.
Based on this information, which equation can be used to find the nth term in
the sequence?

Answers

Answer:

B, an = 4n - 9

Step-by-step explanation:

The sequence is for every time the exponent on a goes up one, the number that it equals to goes up by 4. So to find the nth term, we at 4 to n. I hope this helped! :)

which value of x satisfies the equation below? 4x-7+25

Answers

Answer: =4x+18

Step-by-step explanation:

Let's simplify step-by-step.

4x−7+25

=4x+−7+25

Combine Like Terms:

=4x+−7+25

=(4x)+(−7+25)

=4x+18

Answer:

=4x+18

Graph f(x)=2x+1 and g(x)=−x+7 on the same coordinate plane.
What is the solution to the equation f(x)=g(x) ?
x=?

Answers

If you want to know what's the value of x in 2 functions, you need to do a single variable equations.

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