Answer:
Step-by-step explanation:
A $10,000 deposit at the bank will double in value in 9 years.
If the interest is r% and it is compounded each year, then we can write from the formula of compound interest that
⇒
⇒
⇒ r = 8%
Therefore, the formula for the accumulated amount t years after the investment is made will be
where, P is the invested principal and S is the accumulated sum. (Answer)
The piece-wise linear functions can be written as follows:
A linear function is modeled by:
y = mx + b
In which:
For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:
.
For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:
.
For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:
m = (-3 - (-5))(3 - 2) = 2.
The rule is:
y = 2x + b.
When x = 2, y = -5, hence:
-5 = 2(2) + b
b = -9.
Hence:
.
More can be learned about linear functions at brainly.com/question/24808124
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