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mixas84 [53]
3 years ago
5

a family saved 40000 in Savings Bank that pays compound interest half-yearly at a rate of 10% per annum what is amount in the fa

mily's account at the end of 2 years and what will be the amount in their account ​
Mathematics
1 answer:
STALIN [3.7K]3 years ago
5 0

Step-by-step explanation:

WE know

  • A=P(1+r/n)^nt, where A is the amount, P is the principle r is the rate , t is the time and n is the number of interest compounded per unit time

so by suing this formula

  • A=40000(1+0.1/2)^2*2
  • A=40000(1.2155)
  • or, A=48620.25
  • therefore the amount is Rs.48620.25
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If alpha and beta are the zeroes of the polynomial 6x2+x-2 find the value og alpha/beta + beta/alpha
castortr0y [4]
6x^2+x-2=6x^2+4x-3x-2=2x(3x+2)-1(3x+2)\\\\=(3x+2)(2x-1)\\\\3x+2=0\to x=-\frac{2}{3}\\\\2x-1=0\to x=\frac{1}{2}\\\\\alpha=-\frac{2}{3};\ \beta=\frac{1}{2}\\\\\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{-\frac{2}{3}}{\frac{1}{2}}+\frac{\frac{1}{2}}{-\frac{2}{3}}=-\frac{2}{3}\cdot\frac{2}{1}-\frac{1}{2}\cdot\frac{3}{2}=-\frac{4}{3}-\frac{3}{4}\\\\=-\frac{16}{12}-\frac{9}{12}=-\frac{25}{12}=-2\frac{1}{12}


use\ Vieta's\ formula:\\\\\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{\alpha^2+\beta^2}{\alpha\beta}=\frac{\alpha^2+2\alpha\beta+\beta^2-2\alpha\beta}{\alpha\beta}=\frac{(\alpha+\beta)^2-2\alpha\beta}{\alpha\beta}=\frac{(\alpha+\beta)^2}{\alpha\beta}-2\\\\\alpha+\beta=\frac{-b}{a};\ \alpha\beta=\frac{c}{a}\\\\\frac{(\alpha+\beta)^2}{\alpha\beta}-2=\frac{\left(\frac{-b}{a}\right)^2}{\frac{c}{a}}-2=\frac{b^2}{a^2}\cdot\frac{a}{c}-2=\frac{b^2}{ac}-2

6x^2+x-2\\\\a=6;\ b=1;\ c=-2\\\\\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{1^2}{6\cdot(-2)}-2=\frac{1}{-12}-2=-2\frac{1}{12}
7 0
3 years ago
Decrease £43 by 29% what’s the answer
borishaifa [10]

Answer:

30.53

Step-by-step explanation:

First you must find what 29% of 43 is, in order to do this we must multiply 43 by 29%

43*29% or 43*.29 is 12.47

This means that 29% of 43 is equal to 12.47

So decreasing 43 by 29% would be the same as decreasing 43 by 12.47

43-12.47=30.53

5 0
3 years ago
Bob is mailing packages. Each small package costs him $3.40 to send. Each large package costs him $5.10. How much will it cost h
Tatiana [17]

Answer:

$28.9

I hope this help also I would appreciate brainliest if possible :)

8 0
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How you substract 7 from 52
ioda
52-7 which equals 45
6 0
4 years ago
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Airida [17]

Answer:

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Step-by-step explanation:

It depends if its about the patterns

You could put a number such as five or nine so I just put up the equation to it

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