Answer:
√12 = irrational number
Step-by-step explanation:
Irrational numbers are decimals that are non-terminating (don't stop) and non-repeating (don't have a pattern). Non-perfect squares, or square roots that do not have a factor that is multiplied by itself, when solved it will produce a non-terminating, non-repeating decimal:
√12 = 3.464101...
Visibly, the functions g(x) and f(x) have restricted domains, while p(x) seems to go on infinitely. The answer is "Only p(x)."
Answer:
A. 36 degrees
Step-by-step explanation:
180 is for straight lines,
180-79-68
= 36 degrees
Answer:
<em>It will take 14 years before the investment triples</em>
Step-by-step explanation:
<u>Continuous Compounding</u>
Is the mathematical limit that compound interest can reach if it was calculated and reinvested into an account's balance over a theoretically infinite number of periods.
The formula for continuous compounding is derived from the formula for the future value of a compound interest investment:

Where:
FV = Future value of the investment
PV = Present value of the investment
i = Interest rate
t = Time
It's required to find the time for an investment to triple, that is, FV = 3 PV, knowing the interest rate is i=8%=0.08.
Substituting the known values:

Dividing by PV:

Taking logarithms:

Solving for t:


t = 13.7 years
Rounding up:
It will take 14 years before the investment triples
Answer:
$385
Step-by-step explanation:
7x$40=280
3x$35=105
280+105=385