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Make C the Subject of the Formula a = B(1 + Ct). Find C, When a = 1100, B = 100 and T = 4. - Mathematics

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Question

Make c the subject of the formula a = b(1 + ct). Find c, when a = 1100, b = 100 and t = 4.

Sum

Solution

a = b(1 + ct)
⇒ a = b + bct
⇒ bct = a - b

⇒ c = `("a" - "b")/("b""t")`

Substituting a = 1100, b = 100 and t = 4, we get

c = `(1100 - 100)/(100 xx 4)`
= 2.5.

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Changing the Subject of a Formula
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Chapter 6: Changing the subject of a formula - Exercise 6.3

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Frank Mathematics [English] Class 9 ICSE
Chapter 6 Changing the subject of a formula
Exercise 6.3 | Q 14
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