Juanita made an initial investment of $3000 in a mutual fund. During the first year the value of her investment decreased by 5%,
1 answer:
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Answer:
Conjecture : 2xy / ( x + y ) ≤ √xy
Step-by-step explanation:
Harmonic mean of x and y = 2xy/( x + y )
<u>Formulate a conjecture about their relative sizes </u>
we will achieve this by computing harmonic and geometric means
Geometric mean = √xy
harmonic mean = 2xy/( x + y )
Conjecture : 2xy / ( x + y ) ≤ √xy
attached below is the proof
Let 
be the number of hours that the waitress works in the evening.
We know for our problem that she works
in the afternoon and that she works <span>1.75 hours less in the afternoon than in the evening, so:
</span>
<span>Since </span>
, we can rewrite our expression:
We can conclude that she works 3.375 hours in the evening, or expressed as a mixed fraction:
hours.
We know for our problem that she works
</span>
<span>Since </span>
We can conclude that she works 3.375 hours in the evening, or expressed as a mixed fraction: