F(t) = P.e^(r.t) [ and not as you wrote it f(t)+Pe^rt]
plug in:
f(t) = 8.e^(0.08t) (where e = 2.718 and t=8 given, f(8))
f(8) = 8.(2.718)^(0.08*8) = 21.74^(0.64)
f(8) = 7.17
The answer:
according to the image, the main theorem concerning right triangle similarity is as follow:
the altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the original triangle and each other,
in our case, KL is the altitude, and by applying theorem, we get three triangles that are similar:
therefore:
<span>△JKL ~ △JKM
</span><span>△JKM ~ △JKM
</span><span>△JMK ~ △KML</span>
-4 < 4(6y - 12) - 2y
<em><u>Distributive property.</u></em>
-4 < 24y - 48 - 2y
<em><u>Combine like terms.</u></em>
-4 < 22y - 48
<em><u>Add 48 to both sides.</u></em>
44 < 22y
<em><u>Divide both sides by 22.</u></em>
2 < y
The value of y is greater than the value of 2.
Make it a improper fraction first.
11/6 * 2 = 22/6
Which is 3 2/3
7 is 1/4 of 28, so 7 is 25% of 28.
The drop from 28 to 7 is a drop of 21.
21 is 3 times 7, so 21 is 3 times 25%.
Answer: It is a 75% decrease.
