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3 years ago

What is additive property

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

7 0

Answer and Explanation:

I'm assuming you mean the "Additive property of equality".

The additive property of equality states if the same value amount is added to both sides of an expression or equation, it will remain equal.

Similarly, the additive property of inequalities states if the same value amount is added to both sides of an inequality, it will remain true.

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zepelin [54]

Answer: 6 years

Step-by-step explanation:

Formula to calculate compound amount: $A=P(1+r)^t$ , where P= Principal , r=rate of interest, t= time

Given: P = £400, r = 3% = 0.03 , A= 475

Required equation: $400(1+0.03)^t\geq475$

$400(1.03)^t\geq475\\\\\Rightarrow\ (1.03)^t\geq\dfrac{475}{400}\\\\\Rightarrow\ (1.03)^t\geq1.1875$

Taking log on both sides , we get

$t \log 1.03\geq\log1.1875\\\\\Rightarrow\ t(0.0128372)\geq(0.0746336)\\\\\Rightarrow\ t\geq\dfrac{0.0746336}{0.0128372}=5.81385\approx6$

Hence, he needs to invest the money for 6 years to get atleast £475.

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