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stealth61 [152]
3 years ago
5

1.£500 is deposited in a bank paying 2% compound interest per annum. What is the balance after 2 years?

Mathematics
1 answer:
Rashid [163]3 years ago
5 0

Formula for compound interest: A = P( 1 + r/n)^nt

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

^ = I used this symbol to present that a the number needs to go higher (see picture)

1. 500(1 + 2/100)^2 = 520.2

£520.20

2. 400(1 + 1.75/100)^2 = 414.12

£414.12

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If f(x)=ax+b/x and f(1)=1 and f(2)=5, what is the value of A and B?
LUCKY_DIMON [66]

Answer:

\huge\boxed{a=9 ; b = -8}

Step-by-step explanation:

f(x) = \frac{ax+b}{x}

Putting x = 1

=> f(1) = \frac{a(1)+b}{1}

Given that f(1) = 1

=> 1 = a + b

=> a+b = 1  -------------------(1)

Now,

Putting x = 2

=> f(2) = \frac{a(2)+b}{2}

Given that f(2) = 5

=> 5 = \frac{2a+b}{2}

=> 2a+b = 5*2

=> 2a+b = 10  ----------------(2)

Subtracting (2) from (1)

a+b-(2a+b) = 1-10\\a+b-2a-b = -9\\a-2a = -9\\-a = -9\\a = 9

For b , Put a = 9 in equation (1)

9+b = 1\\Subtracting \ both \ sides \ by \ 9\\b = 1-9\\b = -8

5 0
3 years ago
Tania, a long distance runner, runs at an average speed of 5 mph. Five hours after tanning leaves your house, you leave in your
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It would take me Approximately 55 minutes to catch up with her and we would be 50 miles from my home
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3 years ago
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4x/3+3=x-2 <br>value of x ?​
Gekata [30.6K]

Answer:

x = - 15

Step-by-step explanation:

Given

\frac{4x}{3} + 3 = x - 2

Multiply through by 3 to clear the fraction

4x + 9 = 3x - 6 ( subtract 3x from both sides )

x + 9 = - 6 ( subtract 9 from both sides )

x = - 15

6 0
3 years ago
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write each of the following products in standard polynomial form. (a) (x+3)(x-2)(x-8) (b) (x+2)(x-2)(x+3)(x-3)
Annette [7]

Answer: A)x²+x-6   B) 2x²-13

Step-by-step explanation: A) (x+3)(x-2)(x-8) = x²-2x+3x-6 = x²+x-6

B) (x+2)(x-2)(x+3)(x-3) =→ x²-2x+2x-4 = x²-4

→x²-3x+3x-9 = x²-9

∴x²-4+x²-9 = <u><em>2x²-13</em></u>

5 0
3 years ago
HelllllllP it’s due today :/
svetlana [45]

Answer:

Rectangle

Step-by-step explanation:

Note the definition of a rectangle. All angles must be 90°, and opposite sides are parallel and congruent.

It says that Andre "drew a quadrilateral with <em>four right angles and two pairs of congruent sides</em>.", making rectangle a candidate as an answer.

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4 0
3 years ago
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