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lawyer [7]
2 years ago
7

Edin has £300 in his saving account. His bank offers him a fixed 5% intrest per annum ,for three years.How much interest will he

have in three years
Mathematics
1 answer:
lakkis [162]2 years ago
8 0

Answer:

£45

Step-by-step explanation:

Given data

P= £300

R=5%

T= 3 years

SI= PRT/100

substitute

SI= 300*5*3/100

SI=4500/100

SI= £45

Hence the interest is  £45

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Determine the singular points of the given differential equation. Classify each singular point as regular or irregular. (Enter y
ludmilkaskok [199]

Answer:

Step-by-step explanation:

Given that:

The differential equation; (x^2-4)^2y'' + (x + 2)y' + 7y = 0

The above equation can be better expressed as:

y'' + \dfrac{(x+2)}{(x^2-4)^2} \ y'+ \dfrac{7}{(x^2- 4)^2} \ y=0

The pattern of the normalized differential equation can be represented as:

y'' + p(x)y' + q(x) y = 0

This implies that:

p(x) = \dfrac{(x+2)}{(x^2-4)^2} \

p(x) = \dfrac{(x+2)}{(x+2)^2 (x-2)^2} \

p(x) = \dfrac{1}{(x+2)(x-2)^2}

Also;

q(x) = \dfrac{7}{(x^2-4)^2}

q(x) = \dfrac{7}{(x+2)^2(x-2)^2}

From p(x) and q(x); we will realize that the zeroes of (x+2)(x-2)² = ±2

When x = - 2

\lim \limits_{x \to-2} (x+ 2) p(x) =  \lim \limits_{x \to2} (x+ 2) \dfrac{1}{(x+2)(x-2)^2}

\implies  \lim \limits_{x \to2}  \dfrac{1}{(x-2)^2}

\implies \dfrac{1}{16}

\lim \limits_{x \to-2} (x+ 2)^2 q(x) =  \lim \limits_{x \to2} (x+ 2)^2 \dfrac{7}{(x+2)^2(x-2)^2}

\implies  \lim \limits_{x \to2}  \dfrac{7}{(x-2)^2}

\implies \dfrac{7}{16}

Hence, one (1) of them is non-analytical at x = 2.

Thus, x = 2 is an irregular singular point.

5 0
3 years ago
What is the closest whole number approximation of √50?
mr_godi [17]

Answer:

7

Step-by-step explanation:

√50 is close to √49

49 is a perfect square, 50 is close to 49.

√49 = 7

√50 ≈ 7.071068

6 0
2 years ago
Read 2 more answers
2: Write out a system of equations that has infinite solutions. Explain why it has infinite
Rasek [7]

Answer:

Below!

Explanation:

A system of equations with infinite solutions defines that both the equations are identical and are overlapping when the lines are graphed. An example could be y = 5x + 9 and y = 5x + 9. These sets of equations have infinite solutions because they are the same and when graphed, they overlap.

Hoped this helped!

4 0
2 years ago
Write the following using algebraic notation, using the letter x for any unknown numbers:
Mnenie [13.5K]

Answer:

\dfrac{x+7}{5}

Step-by-step explanation:

The given statement is "I think of a number, add seven then divide by five".

Let the unknown number be x.

Now, add 7 to the number = x+7

If we divided them by 5, \dfrac{x+7}{5}.

So, the required algebraic notation is  \dfrac{x+7}{5}.

6 0
3 years ago
If c is the number of cats, which variable expression represents the phrase
Inessa05 [86]

the answer would be A.) C+15

3 0
3 years ago
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