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3 years ago

Sugar expert last year was reduced by 20% from a total of 40000 tonnes. What was the previous years expert?

Mathematics

1 answer:

Readme [11.4K]3 years ago

6 0

Answer:

32000 tonnes

Step-by-step explanation:

Given there was a 20% reduction last year from a total of 40000 tonnes .

20% /100% x 40000

0.2 x 40000

8000tonnes

Therefore, previous year’s excerpt = 40000 - 8000

32000tonnes

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3 years ago

Given the sequence 1/2 ; 4 ; 1/4 ; 7 ; 1/8 ; 10;.. calculate the sum of 50 terms

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Hint :-

Break the given sequence into two parts .
Notice the terms at gap of one term beginning from the first term .They are like $\dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ . Next term is obtained by multiplying half to the previous term .
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Solution :- 

We need to find out the sum of 50 terms of the given sequence . After splitting the given sequence ,

$\implies S_1 = \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ .

We can see that this is in Geometric Progression where 1/2 is the common ratio . Calculating the sum of 25 terms , we have ,

$\implies S_1 = a\dfrac{1-r^n}{1-r} \\\\\implies S_1 = \dfrac{1}{2}\left[ \dfrac{1-\bigg(\dfrac{1}{2}\bigg)^{25}}{1-\dfrac{1}{2}}\right]$

Notice the term $\dfrac{1}{2^{25}}$ will be too small , so we can neglect it and take its approximation as 0 .

$\implies S_1\approx \cancel{ \dfrac{1}{2} } \left[ \dfrac{1-0}{\cancel{\dfrac{1}{2} }}\right]$

$\\\implies \boxed{ S_1 \approx 1 }$

$\rule{200}2$

Now the second sequence is in Arithmetic Progression , with common difference = 3 .

$\implies S_2=\dfrac{n}{2}[2a + (n-1)d]$

Substitute ,

$\implies S_2=\dfrac{25}{2}[2(4) + (25-1)3] =\boxed{ 908}$

Hence sum = 908 + 1 = 909

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3 years ago

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drek231 [11]

Answer:

y = 1 m = -3 b = 1

Step-by-step explanation:

y = mx + b y = -3x + 1

y = 1

m = -3

b = 1

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2 years ago

Jennifer is saving money to buy a bike. The bike costs $223. She has "$128" saved, and each week she adds $19 to her savings.

castortr0y [4]

Answer: it would take her 5 weeks

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3 years ago

Sugar expert last year was reduced by 20% from a total of 40000 tonnes. What was the previous years expert?​

Sugar expert last year was reduced by 20% from a total of 40000 tonnes. What was the previous years expert?