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NeTakaya
3 years ago
12

John’s bank account increased in value from last year to those year by 8% to $250. If the account increases by the same percenta

ge over the next year, what will be the value next year?
Mathematics
1 answer:
inessss [21]3 years ago
4 0

Answer:

$270

Step-by-step explanation:

We are given;

  • The rate of increase is 8%
  • The new amount is $250

We need to determine the value in the next year with the same rate of increase;

Therefore;

250% = 100%

New amount = 100 + 8 = 108%

Therefore;

New amount = (250 × 108)÷ 100

                      = $270

Therefore, the value in the next year is $270

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Formula of square area
a = s²
thus, area of the first square could be written as s₁² and area of the second square could be written as s₂²

First, write an expression in the form of equation system
An expression for "The combined area of two squares is 45 square centimeters" is:
⇒ s₁² + s₂² = 45 <em>(first equation)</em>
An expression for "Each side of one square is twice as long as side of the other" is:
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Second, solve the equation system by substitution method.
⇒ We could substitute 2s₂ to s₁ (second equation) in the first equation in order to find the value of s₂
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(2²)(s₂)² + s₂² = 45
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5s₂² = 45
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s₂² = 9
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⇒ Substitute the value of s₂ to the second equation in order to find the value of s₁
s₁ = 2s₂
s₁ = 2(3)
s₁ = 6

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