The student will study for the quiz on which he is likely to do worse by guessing. Which quiz should he study for?
1 answer:
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You can use the properties of logarithm to get to the solution.
The approximate value for given term is given by
When you raise a number with an exponent, there comes a result.
Lets say you get
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
Some properties of logarithm are:
Thus,
The approximate value for given term is given by
Learn more about logarithm here:
So... let's say the amounts invested were "a" at 6% and "b" at 7.5%.
ok.. hmm what's 6% of a? well, (6/100) * a or 0.06a.
what's 7.5% of b? well, (7.5/100) * b or 0.075b.
now... we know, whatever "a" and "b" are, they total the investment of 5000 bucks, thus a + b = 5000
and the interest yielded was 337.50, thus 0.06a + 0.075b = 337.50
thus
solve for "a", to see how much was invested at 6%.
what about "b"? well, b = 5000 - a.
ok.. hmm what's 6% of a? well, (6/100) * a or 0.06a.
what's 7.5% of b? well, (7.5/100) * b or 0.075b.
now... we know, whatever "a" and "b" are, they total the investment of 5000 bucks, thus a + b = 5000
and the interest yielded was 337.50, thus 0.06a + 0.075b = 337.50
thus
solve for "a", to see how much was invested at 6%.
what about "b"? well, b = 5000 - a.