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Colt1911 [192]
2 years ago
13

Northern Bank has two types of account. Both accounts pay compound interest. Cash savings account Interest 2.5% per annum Shares

account Interest 3.5% per annum Ali invests £2000 in the cash savings account. Ben invests £1600 in the shares account. (a) Work out who will get the most interest by the end of 3 years. You must show all your working.
Mathematics
1 answer:
musickatia [10]2 years ago
4 0

Answer: Ben will have the most interest.

Step-by-step explanation:

Ali after 3 years.

To use compound interest, the formula is:

= Investment * ( 1 + rate) ^ no. of periods

= 2,000 * ( 1 + 2.5%)³

= £‭2,153.78

Interest = Amount after 3 years - investment

= 2,153.78 - 2,000

= £153.78

Ben after 3 years.

= 1,600 * (1 + 3.5%)³

= £1,773.95

Interest = 1,773.93 - 1,600

= £173.93

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melomori [17]
2/3 is it's simplified form
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2 years ago
Selma cannot remember her locker number! She knows that her locker number is prime, and that it is a factor of 435. What are all
tatuchka [14]

Answer:

Possible locker numbers for Selma are: 3, 5 and 29

Step-by-step explanation:

First of all, let us have a look at the definition of a prime number.

A <em>prime number</em> is a number which is divisible either by 1 or the number itself.

No other number divides the prime number other than 1 and the number itself.

Now, let us factorize the given number 435 and let us observe the what all possibilities are there.

435 = 3\times 145

Factorizing 145 further:

435 = 3\times 5\times 29

No further factors are possible.

Therefore 3, 5 and 29 are the prime factors of 435.

So, the answer is:

Possible locker numbers for Selma are: 3, 5 and 29

3 0
2 years ago
Explain how to find the vertex of 2x^2+12x+16
Elina [12.6K]

The vertex form:

y=a(x-h)^2+k\\\\(h,\ k)-vertex

Use (a+b)^2=a^2+2ab+b^2\qquad(*)


2x^2+12x+16=2(x^2+6x)+16=2(x^2+2(x)(3))+16\\\\=2(\underbrace{x^2+2(x)(3)+3^2}_{(*)}-3^2)+16=2((x+3)^2-9)+16\\\\=2(x+3)^2+(2)(-9)+16=2(x+3)^2-18+16\\\\=\boxed{2(x-(-3))^2-2}\to h=-3,\ k=-2

<h3>Answer: (-3, -2).</h3>

Other method:

f(x)=ax^2+bx+c\\\\vertex:(h,\ k)\\\\h=\dfrac{-b}{2a},\ k=f(h)

We have

f(x)=2x^2+12x+16\\\\a=2,\ b=12,\ c=16

Substitute:

h=\dfrac{-12}{(2)(2)}=\dfrac{-12}{4}=-3\\\\k=f(-3)=2(-3)^2+12(-3)+16=2(9)-36+16=18-36+16=-2

<h3>Answer: (-3, -2).</h3>
5 0
3 years ago
Sterday, a movie theater sold 262 bags of popcorn. a large bag of popcorn costs ​$3. a small bag of popcorn costs ​$1. in​ all,
Dafna11 [192]
They sold 187 small bags and 75 large bags.

Two variables L and S (large & small)

We know that L + S = 262  -> the amount of bags sold

We also know that 3L + 1S = $412 -> total money made

L = 262 - S 

Plug that into the second equation:

3(262 - S) + 1S = 412

786 - 3S + 1S = 412

786 - 2S = 412
786 - 412 = 2S
374 = 2S
S = 187
187 small bass and 
So they sold 187 small bags

L = 262 - 187 = 75 

They sold 75 large bags.


4 0
3 years ago
How can you minimize the risk from your investments?
vlabodo [156]

by common sense I can tell is C.) by investigating in a variety of investment options!

while doing business I rather have multiple options than one! but that is personal you may have your own thought!

3 0
3 years ago
Read 2 more answers
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