Identify a possible first step using the elimination method to solve the system and then find the solution to the system.
2 answers:
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A = amount invested at 4%.
b = amount invested at 9%.
we know the total amount invested was $26500, thus a + b = 26500.
whatever% of anything is just (whatever/100) * anything.
how much is 4% of a? well, is just (4/100) * a, or 0.04a.
how much is 9% of b? well, is just (9/100) * b, or 0.09b.
we know the interest yielded for both amounts adds up to $1510, thus 0.04a + 0.09b = 1510.
how much was invested at 9%? well, b = 26500 - a.
b = amount invested at 9%.
we know the total amount invested was $26500, thus a + b = 26500.
whatever% of anything is just (whatever/100) * anything.
how much is 4% of a? well, is just (4/100) * a, or 0.04a.
how much is 9% of b? well, is just (9/100) * b, or 0.09b.
we know the interest yielded for both amounts adds up to $1510, thus 0.04a + 0.09b = 1510.
how much was invested at 9%? well, b = 26500 - a.
Answer:
see below
Step-by-step explanation:
The exponent rules that apply are ...
(a^b)(a^c) = a^(b+c)
a^-b = (1/a)^b
(a^b)^c = a^(b·c)
_____
These let you rewrite the given function as ...
f(x) = (3^(2x))(3^1) = 3(3^(2x)) = 3(3^2)^x = 3·9^x
and
f(x) = 3^(2x+1) = (3^-1)^(-(2x+1)) = (1/3)^-(2x+1)
