Double is double, so you can solve
.. 2 = 1*e^(.08t)
and get the correct value of t.
Taking logs,
.. ln(2) = .08t
.. ln(2)/.08 = t ≈ 8.7 . . . . years
Answer:
4r+8c = 27
Step-by-step explanation:
consider that 3 lbs will cost $27 at $9/lb
so, adding up the value of the raisins and cashews in a 3lb bag.
Given,
The coordinates of the point on the circle is (-4, -2).
The coordinates of the center of the circle is (-8, -10).
Reuired
The length of the center of the circle.
By using the distance formula, the radius of the circle can be calculated.
The distance formula is,

Substituting the value of the coordinates of the points,
![\begin{gathered} Distance=\sqrt{(-10-(-2))^2+(-8-(-4))^2} \\ =\sqrt{(-10+2)^2+(-8+4)^2} \\ =\sqrt{(-8)^2+(-4)^2} \\ =\sqrt{64+16} \\ =\sqrt{80} \\ =\sqrt{4\times4\times5} \\ =4\sqrt[]{5} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20Distance%3D%5Csqrt%7B%28-10-%28-2%29%29%5E2%2B%28-8-%28-4%29%29%5E2%7D%20%5C%5C%20%3D%5Csqrt%7B%28-10%2B2%29%5E2%2B%28-8%2B4%29%5E2%7D%20%5C%5C%20%3D%5Csqrt%7B%28-8%29%5E2%2B%28-4%29%5E2%7D%20%5C%5C%20%3D%5Csqrt%7B64%2B16%7D%20%5C%5C%20%3D%5Csqrt%7B80%7D%20%5C%5C%20%3D%5Csqrt%7B4%5Ctimes4%5Ctimes5%7D%20%5C%5C%20%3D4%5Csqrt%5B%5D%7B5%7D%20%5Cend%7Bgathered%7D)
Hence,
6x + 4x+6 + 8x+3 = 63
6x+4x+8x = 63 - 3 - 6
18x = 54
x = 54/18
x = 3
Side AB = 6(3) = 18
Side AC = 4(3)+6 = 18
Side BC = 8(3)+3 = 27
Divide 4.92 by 12. that's 0.41. each card is priced less than a dollar at 0.41