Pat is three times as old as she was 14 years ago. In seven years, she will be four times as old as she was 14 years ago. How ol
1 answer:
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Step-by-step explanation:
Hope it will helps you..
Your photo is so unclear ..but i try my best to understand...
We can employ a simple repeated decimal trick:
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Alternatively, we can compute the partial sum of the series.
As , the second term vanishes and we're left with
. Notice that this is really just a more formal version of the earlier trick.
Answer:
p(t) = 0 for t = 1
p(t) = 1 for t = 1/8 = 8^-1
Step-by-step explanation:
the graph you will have to do yourself.
just go there and type in
well, don't type "log" in letters.
you start by typing the "-" sign, and then you need to look up the functions by clicking on the "funcs" button and look for the log functions .
pick the
option. and then simply enter 8 as the first parameter in the {} brackets and x as the second in the () brackets.
and then you see.
any logarithm is 0 for x (or t) = 1.
because any a⁰ = 1.
and the logarithm gives you that exponent of the base number that leads to the given x value.
in other words : a logarithm is the inverse function of an exponential function.
the exponential function is
y = a^x
and the logarithm then determines
that is all.
and
means that the logarithm itself delivered -1.
and 8^-1 = 1/8
so, p(t) = 1 for t = 1/8