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The answer choice is a. y=(-1/2)x
Answer:
5
alternates
Step-by-step explanation:
The series is for k = 0 to 4, so k = 0, 1, 2, 3, 4.
That is 5 terms.
-1/2 is inside the parentheses and is raised to 0, 1, 2, 3, 4.
A negative number raised to an even integer is positive.
A negative number raised to an odd integer is negative.
The sign of each term in the series alternates.
200,000 = 158,000(1.06)^x
Divide both sides by 158,000
1.2658 = 1.06^x
Take the log of both sides and use the power rule to bring down the exponent (x) to the front.
log 1.2658 = x log 1.06
Divide both sides by log 1.06
log (1.2658)/log(1.06) = x
x = 4 years
CHECK
y = 158,000(1.06)^4
y = 199,471.36
