<h2>
Option B is the correct answer.</h2>
Step-by-step explanation:
We need to find average value of 
in [2,4]
Area of in [2,4] is given by
![\int_{2}^{4}e^{2x}dx=\frac{1}{2}\times \left [ e^{2x}\right ]^4_2\\\\\int_{2}^{4}e^{2x}dx=\frac{1}{2}\times(e^8-e^4)=1463.18](https://tex.z-dn.net/?f=%5Cint_%7B2%7D%5E%7B4%7De%5E%7B2x%7Ddx%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5Cleft%20%5B%20e%5E%7B2x%7D%5Cright%20%5D%5E4_2%5C%5C%5C%5C%5Cint_%7B2%7D%5E%7B4%7De%5E%7B2x%7Ddx%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%28e%5E8-e%5E4%29%3D1463.18)
Area of in [2,4] = 1463.18
Difference = 4 - 2 = 2
Average value = Area of in [2,4] ÷ Difference
Average value = 1463.18 ÷ 2
Average value = 731.59
Option B is the correct answer.
Answer:
can be expressed as decimal: 0.025
s= 1.025* $250
= $256.25
after 8 years
s= $250* 1.025^8
~$304.6
earned $54.6
Step-by-step explanation:
2 and a half is equivilant to 2.5
because it is a % (out of 100) move the decimal 2 places down
2.5-->0.25-->0.025
so can be expressed as decimal: 0.025
interest after 1 year is:
original amount of money * (interest rate+1.0)
+1 because you are adding on to 100%. you already have 100%. if it was just the interest rate, the amount of money would go down.
so
s= 1.025* $250
=1.025* 250
=256.25
interest after 8 years,
that means you have to take the original, and multiply it by the interest rate, then the new original multiply by intrest rate a total of 8 times
to do this use an exponent, because exponents base the total off the total before them. if that makes any sense srry
s= $250* 1.025^8
~$304.6 (I used calculator)
to get her earnings, subtract the new amount of money with her original amount of money
304.6-250
=54.6
$54.6
hope this helps
Un grouping in 3rd grade maths can also be called subtracting
