Mathematics High School

Henry places £6000 in an account which pays 4.6% compound interest each year
Calculate the amount in his amount after 2 years

Answers

Answer 1

Answer:

£ 6,564.70

Step-by-step explanation:

Henry places £6000 in an account which pays 4.6% compound interest each year. Calculate the amount in his amount after 2 years

Compound Interest formula =

A = P(1 + r/n)^nt

A = Final Amounrt

P = Principal = £6,000

r = Interest rate = 4.6%

t = Time in years = 2 years

n = Compounding frequency = Yearly = 1

First, convert R percent to r a decimal

r = R/100

r = 4.6%/100

r = 0.046 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 6,000.00(1 + 0.046/1)^(1×2)

A = £ 6,564.70

The amount in his account after 2 years = £ 6,564.70

Related Questions

Complete the steps to solve the equation -13x - 15 = -93.​

Answers

Answer:

x = 6

Step-by-step explanation:

-13x - 15 = -93

-13x = -78

x = 6

30 = y - 2
and work plzzz

Answers

Answer:

Step-by-step explanation:

y - 2 = 30

y = 32

Answer: y=32


Step by step explanation: Add 2 to both sides of the equation. Then the 2’s cancel out so all that’s left is 30 + 2 and that equals 32. Hope this helps!

45 is ________% of 300

Answers

45 is 15 percent of 300

Answer:

15

Step-by-step explanation:

100/300=.3333333

.33333x45=15

The Park family was traveling to Disney World on vacation. They drove 487.5 miles in 7.5 hours. At this rate, how many miles did the Park family drive per
hour?

Answers

They drove 65 miles per hour

write 34 as a product of its prime factors. PLEASE HELP I NEED TO TURN IT IN IN % MINUTES

Answers

Answer: Down below

Step-by-step explanation: First of all, as 34 is an even number, so it must be divisible by smallest prime 2.

Thus, 2 must be a factor of 34.

Now, look for number obtained on dividing 34 by 2 i.e.

34÷2=17.  

So, 17 is our new number.

Now, look for factors/divisors of 17, which are precisely 1 and 17 i.e. 17 is itself a prime.

This implies only factors possible for 34 are 2 and 17.

Thus ,34 can be written as product of prime numbers 2 and 17 as  34=2×17.  

Key idea. Given any number, divide it by smallest divisible prime and look for the number obtained on division.

Now, repeat the process for the number obtained.

If no division by a smaller prime than that number is possible, then our number is itself a prime.

Answer:

2(17)

Step-by-step explanation:

PLS HELP Use a trigonometric ratio to find the value of x.

Answers

hi! im pretty sure it’s 81
not 100% but please mark brainliest if correct

I need to know plz for math

Answers

I can say the first answer is 127°

I will give brainliest!!!

Translate triangle ABC 2 units left and 3 units up.

What are the coordinates for point A'?

(-5,3)
(-4, 4)
(-4,-2)
(0,4)

Answers

Answer:

(-4,4)

Step-by-step explanation:

The answer is (-4, 4). Because when you take point A and Move 2 units left and three units up you’ll get Y= 4 and X= -4

The trapezoid below has been enlarged by a scale of 1.5. What is the area of the enlarged trapezoid?

Answers

Answer:

New area by scale of 1.5 = 81 in²

Step-by-step explanation:

Given:

Current area  = 36 in²

Find:

New area by scale of 1.5

Computation:

New area by scale of 1.5 = Current area x (scale factor)²

New area by scale of 1.5 = 36 x (1.5)²

New area by scale of 1.5 = 36 x (2.25)

New area by scale of 1.5 = 81 in²

Answer:

B.

Step-by-step explanation:

We have been given that the trapezoid shown in the attachment has been enlarged by a scale of 1.5.

We are asked to find the area of the enlarged trapezoid. The area of the original trapezoid is 36 square inches.

Since each side of the trapezoid is enlarged 1.5 times, so the area of new trapezoid would be 2.25 times greater than area of original trapezoid.

The area would be 2.25 times greater because area is product of sum of lengths of parallel sides and height.

Therefore, the area of the enlarged trapezoid would be  and option B is the correct choice.

What is the solution to this system of equations?

Answers

Answer:

(-2,1)

Step-by-step explanation:

the blank is a aprt of the streen

ANSWER FAST PLEASE!! ILL GIVE BRAINLEST
What is the solution to the system of equations below?

Answers

Answer:

the solution is (-2,-5)

Step-by-step explanation:

Your cousin borrows $1125 to repair her car. The simple annual interest rate is 10%. She makes equal monthly payments of $25. How many years will it take to pay off the loan?

Answers

Answer:

26 months i believe is correct :)

Step-by-step explanation:

The number of years it will take to pay off the loan will be  4.125 years based on simple interest.

What is simple interest?

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.

As per the given,

Total loan = $1125

Rate of interest R = 10%

Monthly payment = $25

Yearly payment = 25 x 12 =$300

Suppose it takes T years,

Total amount A = principle P + interest

A = 1125 + 10% of 1125

A = 1125 + 0.10 x 1125

A = $1237.5

The number of years it will take will be as follows,

Total amount / yearly payment

⇒ 1237.5/300

⇒ 4.125 years.

Hence"The number of years it will take to pay off the loan will be  4.125 years based on simple interest".

For more about simple interests

https://brainly.com/question/25845758

#SPJ2

A building casts a shadow that is 36 feet long. At the same time of day, a nearby 9-foot tall tree casts a shadow that is 4 feet long.how tall is the building
9 feet
16 feet
56 feet
81 feet

Answers

Answer:

16 feet is the correct answer to this problem.

HELP PLEASEE!!!

What is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0)?

A. y = x2 – 2x – 3

B. y = x2 + 3x + 2

C. y = x2 – 3x + 2

D. y = x2 + 2x – 3

Answers

Answer:

A. y = x² – 2x – 3

Step-by-step explanation:

The given points are zero's or roots of the function.

We can put the equation as:

y = (x + 1)(x - 3) = x² -3x + x - 3 = x² - 2x - 3

This is option A

Can someone help and please make sure the answer is right! :)

Answers

Answer:

x= 8

Step-by-step explanation:

srry i need the points so i can finish my work so i can go to sleep

please someone help on this

Answers

Answer:

1 solution

no solution

infinitely many

1 solution

Step-by-step explanation:

1. 2.3x-7=-7

2.3x=0

x=0

2. 3x=5+3x

0x=5

x=5/0

That’s undefined

3. 40-4x=4(10-x)

40-4x=40-4x

They both are equal no matter what. So, infinitrly many

4. -7+x=-(x+7)

-7+x=-x-7

2x=0

x=0

1 solution I.e 0

Answer:   1-  One solution

                2- No solution

                3- Infinite

               4-  one solution

Step-by-step explanation:  Hope this helps. pls mark me brainliest. :)

Oscar draws two lines on his paper. The lines are always one inch apart and do not intersect. Which term can be used to name what Oscar drew?

Answers

Answer:

Parralel lines

2) Slope --1, y-intercept = 1

Answers

y = mx+b ahhahahahahahhaha answer is that step explanation

PLEASE HELP ASAP! ITS DUE SOON, ILL GIVE BRAINLIEST PLEASE EXPLAIN YOUR ANSWER

Answers

Answer:

The answer is A!

Step-by-step explanation:

WHat is this answer: s=18n-360 ?

Answers

Answer:

n = s/18 + 20

Step-by-step explanation:

Help pls, answer choices listed also

Answers

Answer:

A.

Step-by-step explanation:

Hi there!

By factoring the trinomial, we end with (x-9)(x-4)

However, we aren’t done yet. To find the zeros, set each expression equal to zero, so it looks something like this.

0 = x - 9

0 = x - 4

Using orders of operations, x = 9 and x = 4

Therefore,  A is your answer.

I hope this helps!

MATH HELP PLZ! MAKRING BRAINLIST

Answers

Answer:

60 ML is you answer please mark me as brainllest

Step-by-step explanation:

ab/c=de make d the subject​

Answers

Answer:

d

Step-by-step explanation:

Answer:

d = ab / ec

Step-by-step explanation:

ab / c = d x e

times both sides with c:  ab = d x e x c

divide both sides with e x c:  ab / ec = d

What is Lcm of 30 and 40

Answers

Answer:

10

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

30 = 2 x 3 x 5

40 = [tex]2^{3}[/tex]      × 5

-----------------------------

LCM = 2³x3x5

=120

Write the sentence as an expression with a variable : 6 less than the quotient of 5 and a number​

Answers

Answer:

6<(5/n)

Step-by-step explanation:

6 less than <

Quotient is the answer of division

Let "a number = n"

Quotient of 5 and a number is 5/n

FREE BRAINLIEST!! ill also answer questions that you have posted if you answer correctly!!!!

Answers

3rd one is the correct answer.

Mr. Jones' class counted 500 birds on their field trip last week. The following pie graph shows the different bird species and numbers in the park. Use the information to answer the questions. Ducks 60 Eagles BO Pigeons 90 Parrots 30% Sparrows 120 Bird Species​

Answers

Answer:

the answers for those are number 4 is 150 and 5 is 16%

Step-by-step explanation:

number 4     500 x 30= 15,000

15,000 ÷ 100= 150

number 5   80 x 100=8,000

8,000÷ 500= 16 so 16%

Answer:

150 and 120

Step-by-step explanation:

30% of 500 is 150

80% of 150 is 120

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Your answer would be 189

Step-by-step explanation:

if you break the figure in to smaller parts you get for the two triangles 12*9/2. There are two of them, so that gets you 12*9/2+12*9/2, and all that equals 108. Finally, there is one more square in the middle, which equals 81, so 108+81=189, which is your answer.

If x = 45, y = 63, and the measure of AC = 4 units, what is the difference in length between segments AB and AD? Round your answer to the nearest hundredth.
0.74 units

1.17 units

1.64 units

2.14 units

Answers

Answer:

1.17

Step-by-step explanation:

(MUCH BETTER!)

From the definition of the sin of an angle, you know:

sin(45°) = AC/AB = 4/AB   ⇒   AB = 4/sin(45°) ≈ 5.6569

sin(63°) = AC/AD = 4/AD   ⇒   AD = 4/sin(63°) ≈ 4.4893

Then the difference AB-AD is:

AB -AD = 5.6569 -4.4893 = 1.1676

AB -AD ≈ 1.17 units

Sorry this took me so long to answer!

What is the solution to the system?
PLEASE HURRY WHATS THE ANSWER

Answers

The solution to the system is (6,-2). Don’t freak out the soliton to the system just means where the lines cross.
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