Factoring f(x) would give a factor (x-1-2i), so you can divide f(x) by this, leaving (x-3)(x+4)(x-1+2i), so the other roots are:
x=3
x=-4
x=1-2i
Answer:
25%
Step-by-step explanation:
The first doubling, from 20 to 40 occurs in a little more than 3 years, so the multiplier each year is a little less than 2^(1/3) ≈ 1.26. That is, each year is a little less than 26% more than the previous year.
The graph also goes near the point (8, 120), so grows by a factor of 6 in 8 years. That suggests a multiplier of 6^(1/8) ≈ 1.251. Each year is about 25.1% more than the previous year.
Both of these multipliers represent yearly growth rates near 25%.
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Using the "rule of 72", the product of doubling time and percentage growth is about 72. So, for a doubling time of 3 years, the percentage growth is predicted to be near 72/3 = 24 percent.
All of these estimates help you choose the correct answer: 25%.
Answer:
ΔABC ≅ ΔFDE by SAS
Step-by-step explanation:
Just did this on FLVS
Answer:
$425.6 should be budgeted for weekly repairs and maintenance.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean $400 and standard deviation $20.
This means that 
How much should be budgeted for weekly repairs and maintenance to provide that the probability the budgeted amount will be exceeded in a given week is only 0.1?
This is the 100 - 10 = 90th percentile, which is X when Z has a p-value of 0.9, so X when Z = 1.28.




$425.6 should be budgeted for weekly repairs and maintenance.
<em><u>The GCF ( Greatest Common Factor ) of 12, 28, and 4 is 4</u></em>