Answer:
21/18 which simplifies to <u>7/6</u>
Step-by-step explanation:
Answer: 8.5 years
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form) =18/100 = 0.18
t= years
A = population after t years
Replacing with the values given:
192,000 = 47,000 (1+ 0.18)^t
Solving for t:
192,000/47,000 = 1.18^t
4.08 =1.18^t
ln 4.08 = ln 1.18^t
ln 4.08 =t (ln 1.18)
ln 4.08 / ln 1.18 =t
8.5 years = t
Feel free to ask for more if needed or if you did not understand something.
Answer:
$74,600
Step-by-step explanation:
-Given the probability is 2.5%, mean=$55,000 and standard deviation= $10,000
-We find the z value of 2.5%

Hence, the minimum amount of income to be in the top 2.5% is $74,600
Answer:
(a variation of) vertex form
Step-by-step explanation:
For vertical scale factor "a" and vertex (h, k), the vertex form of the equation for a parabola can be written as ...
y = a(x -h)^2 +k
If k is subtracted from this equation, an alternate form is ...
y -k = a(x -h)^2
This latter version of vertex form is the form your equation has, where ...
Start with

Exponents have the highest priority, so we evaluate 3 cubed first:

Next, we have to solve parenthesis first: we have 27-8 = 19, so the expression becomes

Multiplications and divisions have the same priority, so we perform them as they appear:
, so the expression becomes
