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# Maths Question Help? watch

1. Hi! I'm doing some GCSE maths homework and there's one question which I know the answer to but am confused about the process

"Miss Tuck started teaching at the school on a salary of £14500, how many years will it be until she is earning a salary of over £20000?"

the pretext is

"The headmaster of a new school offered his staff an annul pay increase of 5% for every year they stayed with the school"

I know the answer is 7 years (I think), but should you work this out using a trial and error method or is there a more algebraic way of doing it?

thanks! I would be grateful for any kind of response
2. (Original post by jojotheflower)
Hi! I'm doing some GCSE maths homework and there's one question which I know the answer to but am confused about the process

"Miss Tuck started teaching at the school on a salary of £14500, how many years will it be until she is earning a salary of over £20000?"

the pretext is

"The headmaster of a new school offered his staff an annul pay increase of 5% for every year they stayed with the school"

I know the answer is 7 years (I think), but should you work this out using a trial and error method or is there a more algebraic way of doing it?

thanks! I would be grateful for any kind of response
There is an algebraic approach but that is an A level topic

At GCSE Trial & Improvement is the method
3. (Original post by jojotheflower)
Hi! I'm doing some GCSE maths homework and there's one question which I know the answer to but am confused about the process

"Miss Tuck started teaching at the school on a salary of £14500, how many years will it be until she is earning a salary of over £20000?"

the pretext is

"The headmaster of a new school offered his staff an annul pay increase of 5% for every year they stayed with the school"

I know the answer is 7 years (I think), but should you work this out using a trial and error method or is there a more algebraic way of doing it?

thanks! I would be grateful for any kind of response
You just need to find and find the first value of n that produces a value lower than 1.05 (the multiplier for a 5% increase).

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Updated: March 19, 2013
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