Answer:
the answers to this are x= 1 and y= 9
Total = Principal * e^(rate*years)
where "e" is the mathematical constant 2.71828182828459
Total = 1,600 * e(.046*4)
Total = 1,600 * 2.71828182828459^(.184)
Total = 1,600 *
<span>
<span>
<span>
1.2020158231
</span>
</span>
</span>
Total =
<span>
<span>
<span>
1,923.23</span></span>
</span>
Source:
http://www.1728.org/rate2.htm
<span>If you plug in 0, you get the indeterminate form 0/0. You can, therefore, apply L'Hopital's Rule to get the limit as h approaches 0 of e^(2+h),
which is just e^2.
</span><span><span><span>[e^(<span>2+h) </span></span>− <span>e^2]/</span></span>h </span>= [<span><span><span>e^2</span>(<span>e^h</span>−1)]/</span>h
</span><span>so in the limit, as h goes to 0, you'll notice that the numerator and denominator each go to zero (e^h goes to 1, and so e^h-1 goes to zero). This means the form is 'indeterminate' (here, 0/0), so we may use L'Hoptial's rule:
</span><span>
=<span>e^2</span></span>
1647. 1 hour=60 minutes. John can mow 247 square feet per minute, so he can mow 60*247=14820 square feet per hour. 1 yard=3 feet, so 1 square yard =3^2=9 square feet, so in the same duration of time, John can mow 14820/9=1647 square yards (approximately) per hour.
Answer:
Step-by-step explanation:
y=(2x²+x)³+(x-1)/(1-x)
=(2x²+x)³+(x-1)/-(x-1)
=(2x²+x)³-1
dy/dx=3(2x²+x)(4x+1)-0
=3x(2x+1)(4x+1)
