9.) <span>1/2(4x-6)=11
</span>Multiply 4 and -6 by 1/2
2x-3=11
Add 3 to both sides
2x=14
Divide 14 by 2
Final Answer: x=7
10.) 2/3(6x-9)=-34
Multiply 6 and -9 by 2/3
4x-6=-34
Add 6 to both sides
4x=-34
Divide -34 by 4
Final Answer: x=-8.5
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Given:
principal = 7,000
interest rate = 5% compounded annually
term = 3 years
A = P (1 + r/n)^nt
A = future amount to be received by First Consumer Bank
P = loan principal
r = rate
n = number of times compounded in a year
t = term
A = 7,000 ( 1 + 5%/1)^1x3
A = 7,000 (1.05)³
A = 7,000 (1.157625)
A = 8,103.375
First Consumer Bank will receive 8,103.375 from Jane after lending 7,000 for 3 years compounded annually at 5%.
It's important that you use the correct symbol to indicate exponentiation.
<span>f(x) = 0.4(3)x f(x) = 3(0.5)x f(x) = 0.8(0.9)x f(x) = 0.9(5)−x should be written as:
</span><span>f(x) = 0.4(3)^x f(x) = 3(0.5)^x f(x) = 0.8(0.9)^x f(x) = 0.9(5)−x.
Please double-check that last problem, as I am unsure of whether you meant 0.9^5 or (0.9)(5).
f(x) = 0.4(3)^x is definitely an exponential function.
Please try again. Do those problems that you can do an ask questions about the others.
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