Derek invests £154 500 for 2 years at 4% per year compound interest.
Work out the value of the investment at the end of 2 years.

Answers

Answer 1

Answer:

p=£154,500

T=2years

R=4%

Compound Amount (CA) =?

Now,

CA=p(100+R/100)^T

=154500*(100+4/100)^2

=154500*(104/100)^2

=154500*(1.04)^2

=154500*1.0861

=167107.2

Therefore The value of the investment will be £167107.2 after 2year

Answer 2

The value of the investment at the end of 2 years is £167107.2.

Given that, principal =£154500, time period= 2 years and rate of interest =4%.

What is the compound interest?

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = [tex]Amount=P(1+\frac{R}{100} )^{nt}[/tex]

Here, Amount = 154500(1+4/100)²

= 154500(1+0.04)²

= 154500(1.04)²

= 154500×1.0816

= £167107.2

Hence, the value of the investment at the end of 2 years is £167107.2.

To learn more about the compound interest visit:

https://brainly.com/question/14295570.

#SPJ2


Related Questions

PLZZ ANSWER THE QUESTION ​

Answers

Answer:

C

Step-by-step explanation:

In the graph it's curved, which is not linear, but the other lines are all straight.

2y-1/-3 =-5 prove y=8
What are the statements and reasons for this questions?

Answers

Answer:

I will provide the steps below.

Step-by-step explanation:

First, You will need to plug in the 8.

2(8)-(1/-3)=-5  

Multiply

16-(-1/3)=-5

If we have two negitive it turns into possitive.

16+1/3=-5

16+1/3=-5

This statement is not true becuase if y=8 the equation will be (16+1/3)=5

*Make sure your giving me the right eqution otherwise this statment is false.*

5t + 2 = 12
can someone help me solve this? it’s a 2 step equation

Answers

Answer:

T=2

Step-by-step explanation:

5x2=10

10+2=12

Could I please have BRAINLIEST.

What is the cost $ of 13 Ibs of rice ?

Answers

Definitely around 3$ lol you gotta explain

Answer:

8.48$

Step-by-step explanation:

I think

Hope this helps

what is the value of x?
10
24
4
16​

Answers

Answer:

16

Step-by-step explanation:

Corresponding angles are equal

5x + 40 = 1205x = 80x = 80/5x = 16

Yorel went to Foot Locker to but her some new shoes. She found a pair that she like and they cost $120. If she has a coupon for 30% off. How must will she pay for the shoes.

Answers

If Yorel has a coupon of 30% and she applies it to the shoes she will end up paying only 84 dollars!

Hope this helps

Estimate.
36 x 92 ~ ?

Answers

Answer:

3,312

lets be real who arctually looks at the step by step just use a calculator for this one

Simplify:
(7 + 2i)(9-61)

Answers

Answer:

Step-by-step explanation:

-364 - 104 i

This is a math question if you are good this is good for you this is hard

Answers

Answer:

Hope this helps!

Step-by-step explanation:

1- -24

2- -23

3- -2

4- 11

5- 5

6- -3

7- 28

8- 120

if someone could please help that would be great <3

Answers

Answer:

BD = 12

Step-by-step explanation:

6×2p to the second power when p=5​

Answers

Answer:

3600

Step-by-step explanation:

Since the question gives you p, you replace p (which is just a placeholder) with 5.

Your equation should look like this:

[tex](6*2(5))^2 = 3600[/tex]

Solve for x and find de mesures of Angule B

Answers

Answer:

x=9.4

b=77.2

Step-by-step explanation:

a+b=180

as they are interior angles

(6x-48)+(4x+38)=180

6x-48+4x+38=180

6x+4x+38-48=180

10x+86=180

10x=180-86

10x=94

x=94/10

x=9.4

b=(4x+38)

b=4x+38

b=4(9.8)+38

b=39.2+38

b=77.2

A researcher wants to test whether a certain sound will make rats do worse on learning tasks. It is known that an ordinary rat can learn to run a particular maze correctly in 18 trials, with a standard deviation of 6. (The number of trials to learn this maze is normally distributed.) The researcher now tries an ordinary rat in the maze, but with the sound. The rat takes 38 trials to learn the maze. (a) Using the .05 level, what should the researcher conclude? Solve this problem explicitly using all five steps of hypothesis testing, and illustrate your answer with a sketch showing the comparison distribution and the rejection region.. (b) Then explain your answer to someone who has never had a course in statistics (but who is familiar with mean, standard deviation, and Z scores).

Answers

Answer:

So we reject the null hypothesis and accept the alternate hypothesis that rats learn slower with sound.

Step-by-step explanation:

In this data we have

Mean= u = 18

X= 38

Standard deviation = s= 6

1) We formulate the null and alternate hypothesis as

H0:  u = 18  against           Ha : u > 18  One tailed test .

2) The significance level alpha = ∝= 0.05 and  Z alpha has a value ± 1.645 for one tailed test.

3)The test statistics used is

Z= X- u / s

z= 38-18/6= 3.333

4) The calculated value of z = 3.33 is greater than the z∝ = 1.645

5) So we reject the null hypothesis and accept the alternate hypothesis that rats learn slower with sound.

First we set the criteria for determining the true of value of the variable. That whether the rats learn in less or more than 18 trials.

Then we find the value of z for the given significance value given and the test about to be checked.

Then the test statistic is determined and calculated.

Then both value of z and z alpha re compared. If the test statistics falls in the rejection region  reject the null hypothesis and conclude alternate hypothesis is true.

The figure shows that the calulated z value lies outside the given z values

Write an equation of 6x with a discount of 15%

Answers

Answer:

thats hard

Step-by-step explanation:

Evaluate the following function f(x) = x²-20 for f(5)

Answers

Answer:

f(5) = 5

Step-by-step explanation:

To evaluate f(5) , substitute x = 5 into f(x), that is

f(5) = 5² - 20 = 25 - 20 = 5

Answer:

5

Step-by-step explanation:

Subitute:

f(5) = 5^2-20

Solve:

f(5) = 5

If 2x + 7 = -21, what does 2 - x equal?

Answers

Answer:

16

Step-by-step explanation:

First, we solve for x.

[tex]2x+7=-21\\2x=-28\\x=-14[/tex]

We now evaluate 2-x, plugging in -14 for x.

[tex]2-x\\2-(-14)\\2+14\\16[/tex]

Answer:

12.5

Step-by-step explanation:

2x+7=-21

2x+7-7=-21-7

2x=-28

2x/2=-28/2

x=-14

2-x=?

2-(-14)

2+14=16

Hope this helped!

khawla drove 320 kilometers using 12 liters of gas , at this rate , How many liters of gas would she need to drive 296 kilometers . Help :)

Answers

Answer:

She would need 11.1 liters of gas.

If f(x)=-5x+2 and g(x)=1/2x-4, find f(g(12))

Answers

[tex]f(x) = -5x + 2[/tex]          [tex]g(x) = \frac{1}{2}x - 4[/tex]

[tex]f(g(x)) = -5(\frac{1}{2}x - 4) + 2\\= -\frac{5}{2}x + 20 + 2\\= -\frac{5}{2}x + 22[/tex]

f(x)=-5x+2     g(x)=1/2x-4

find f(g(12))

-5(1/2x - 4) + 2

-2.5x + 20 + 2

-2.5 + 22

Hope this helps! :)

What two number multiply to -48 and add to -2?

Answers

Answer:

6 and -8

Step-by-step explanation:

Solve:

xy = 48

x + y = -2

You can say y = -2-x = -(x+2) and then substitute that in the first:

-x(x+2) = 48

-x² -2x - 48 = 0

x² + 2x + 48 = 0

Quadratic formula can do the rest if you don't "see" the factorization.

For every 14 litres of petrol a car can run for 70 km. How much petrol do you need (to 1 DP) to ensure the car has enough petrol of a trip that is 126 km

Answers

Answer:

25.2

Step-by-step explanation:

14litres : 70 km

     ?     : 126km

126/70 = 1.8

14 x 1.8 = 25.2

25.2 litres of petrol

please mark as brainliest.  thank you

Answer:

25.2 litres

Step-by-step explanation:

using proportion

let the amount of petrol we are searching for be x

14litres/xlitres =70km/126km

cross multiply

70x=126×14

70x =1764

x=1764/70

x=25.2litres

Round 458.87 to the nearest tenths. *
a) 459.0
b) 458.9
c) 459
d) 560​

Answers

458.87 to the nearest tenths is b) 458.9

Answer:

b) 458.9

Step-by-step explanation:

the tenths digit is the 8 right of the decimal so if you were to round, it would be 458.9 because 7 is closer to 10 than zero.

Hope this helps and can you please mark me brainliest?I just need 4 more brainliest to become expert

21 = -4h +13-h
Send help:(

Answers

Answer:

h = -8/5

Step-by-step explanation:

21 = -4h +13-h

simplify the right side

21 = -5h + 13

subtract 13

21 = -5h + 13

-13          - 13

8 = -5h

divide by -5

8 = -5h

/-5  /-5

[tex]-\frac{8}{5} = h[/tex]

the ratio 7:3 is equal to

Answers

Answer:

14:6

Step-by-step explanation:

the answer would be 14:6.

simplify
(8-2) a + 9b - (3+2) a + 10

Answers

Answer:

a+9b+10

Step-by-step explanation:

use foil method

Write the equation for the graph below.
PLEASEE I NEED HELP !

Answers

Answer:

X = 3   Y = -3

Step-by-step explanation:

The arrow is on X = 3 and the other side of arrow is on Y = -3

Hope I helped

DaniElSabiondo

will mark brainlest if right. look at problem. (f•g)(x)

Answers

I believe the answer would be B

please help or I fail

Answers

Answer:

G

Step-by-step explanation:

you just see the place value of the number you are multiplying by and you you put the place value. For example ( 3× 0.01)   is going to be ( 0.03) if it makes it easier just take the 3 and substitute it for the 1.

Hope this helped  : )

Please help!! ASAP!!

Answers

Answer:

The scientific notation will be Letter D

I’m pretty sure it’s D!

5y^2-6y-11-6y^2+2y+5

Answers

Answer:

-y² - 4y - 6

Step-by-step explanation:

Step 1: Write expression

5y² - 6y - 11 - 6y² + 2y + 5

Step 2: Combine like terms (y²)

-y² - 6y - 11 + 2y + 5

Step 3: Combine like terms (y)

-y² - 4y - 11 + 5

Step 4: Combine like terms (constants)

-y² - 4y - 6

a/5<1
I need help with that ASAP please

Answers

Answer:

a<5

Step-by-step explanation:

a/5<1

5*a/5<1*5

a<5

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