It will take 2 years.
Year 1 :
4% 2.5k = 2.5k/100 × 4 = $100 in interest
$2.5k + $0.1k = $2.6k
Year 2 :
4% 2.6k = 2.6k/100 × 4 = $104 in interest
$100 + $104 = $204 > $200
There may be a simpler way to solve this using a formula for example, but I just solved this step by step. Please feel free to ask if you have any questions
1 )
1st and 2nd equation (multiply 1st by -2 ):
-2x - 10 y + 8 z = 20
2 x - y + 5 z = -9
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- 11 y + 13 z = 11 / * ( -20 )
1st and 3rd:
- 2 x - 10 y + 8 z = 20
2 x - 10 y - 5 z = 0
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- 20 x + 3 z = 20 / * 11
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220 y - 260 z = -220
- 220 y + 33 z = 220
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z = 0, y = -1, x = - 5
2 )
2 x - y + 5 = -4
- 2 x + 3 y - 5 = - 10
Substitution: y = 2 x + 9
- 2 x + 3(2 x + 9 ) = -5
4 x = - 32, x = -8, y = -7, z = 5
3 )
x + y + z = 11
1.5 x+3 y +1.5 z = 21
x = 2 y
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3 y + z = 11 / * (-2)
6 y + 1.5 z = 21
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- 6 y - 2 z = -22
6 y + 1.5 z = 21
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-0.5 z = -1, z = 2, y = 3, z = 6
Answer: the store used 6 pounds of peanuts, 3 pounds of almonds and 2 pounds of raisins.
1/5 = 20% so... 2/5 = 40%
40% of 7.6 is 3.04
Subtract 3.04 from 7.6, you get 4.56
The farmer sells 4.56 kilograms of pears at the Farmers Market.
The student buys 3 small notebooks and 3 large notebooks
13,000, 000 is the correct answer
