Life's many roads, lead us in many different directions on different paths,
On these roads of travel we see new people, new things,
Everything appears to be perfect.
But, there shall come times when the road is long,
The journey seems rough and the new people,
Places and things you once saw, are no longer around
You stand alone.
Even though the road may then seem lonely, you keep pushing on -
Praying -
Believing that "Yes I can, Yes I will."
And when no one else believes in you, you believe in yourself.
I know the road was hard, it was long -
Because I traveled the same path.
So don't look back, just continue to push forward -
All that are in the way, move them out - shun the negativity.
Stay head strong, thank God for everything -
Especially for this long harsh road.
Because it was simply
A long journey to success :)
Kepler believed in the Copernican system and sought the key to reconciling Tycho’s observations with a heliocentric model for the solar system. In addition to his mathematical genius, his philosophical contribution was huge - as described by Einstein: "[Kepler] had to realize clearly that logical-mathematical theorizing, no matter how lucid, could not guarantee truth by itself; that the most beautiful logical theory means nothing in natural science without comparison with the exactest experience. Without this philosophical attitude, his work would not have been possible." (from the introduction Einstein wrote for Baumgard & Callan's 'Johannes Kepler: Life and Letters' (1953)). Kepler's focus on fitting the exact observations from Tycho led him to abandon the idea that the planets had to move on combinations of circles, a bit of logical-mathematical theorizing that had held sway for 1800 years!
Answer:
The correct answer is 37 years.
Step-by-step explanation:
Principal (P) invested is $15000
Rate of interest (r) per year is 5% compounded yearly.
Amount (A) of the principal is $91221.04.
Let the principal is invested for x years (t).
According to the problem,
A = P +
⇒ 91221.04 = 15000 ×
⇒ 6.08140267 =
⇒ x = 37
Thus the principal is supposed to be invested for 37 years for it to yield that amount.