This is a geometric sequence, so use the formula for the sum of a geometric sequence:
Sum = (a(r^n - 1))/(r - 1)
where a is the first term, -5
r is the common ratio, 5
and n is the number of terms
Thus,
Sum = ((-5)(5^6 - 1))/(5-1) = -19530
Hi there!
First you simplify.
Simplified = 9x+(−5)+(−8)+x
Then you combine the like terms.
<span><span><span><span><span>9x</span>+(<span>−5)</span></span>+(<span>−8)</span></span>+x (*-5 and -8 are like terms) (9x and x are like terms)
</span></span><span><span><span>Combined it's~ (<span><span>9x</span>+x</span>)</span>+<span>(<span><span>−5</span>+<span>−8</span></span>)
</span></span></span><span><span><span>Solve and that comes to 10x</span>+<span>−<span>13 which is your answer. :)
Hope this helps.
</span></span></span></span>
Construct the perpendicular to <span><span>QR</span><span>¯¯¯¯¯</span></span><span> that passes through point </span>X<span>.</span>
The answer is 31 1/6, I hope this helps!
<h2>For this example I am going to use Cape Coral-Fort Myers Florida which was the fastest growing city of 2017.
</h2><h2>As of January of 2000, the population of the city was 102,286, and as of January 1 of 2010, the population was 154,305; therefore, I'm going to examine a population growth over a period of 10 years.
</h2><h2>I am going to use the standard model for population growth:
</h2><h2>
</h2><h2>Where:
</h2><h2>= time (in years)
</h2><h2>= growth rate
</h2><h2>= initial population </h2><h2>= population after a time </h2><h2>
</h2><h2>Now, I'm going to replace the values in the equation to get :
</h2><h2>
</h2><h2>
</h2><h2>
</h2><h2>
</h2><h2>
</h2><h2>
</h2><h2>Finally, I will multiply x by 100% to obtain 4% which the growing rate of Cape Coral-Fort Myers from 2000 to 2010.</h2>
