Answer:
x = 60
Step-by-step explanation:
The question is asking
$14,700 * (1 - 8%)^x = $100
$14,700 * (1 - 0.08)^x = $100
$14,700 * (0.92)^x = $100
(0.92)^x = $100/$14,700
log(0.92^x) = log($100/$14,700)
x * log(0.92) = log(0.0068027)
x = log(0.0068027)/log(0.92)
x = 59.85
Since this question is asking in terms of years, we always round up (in this case to 60), as it won't fully be worth $100 by the beginning of the 59th year.
To solve for AC in the given inscribed angle we proceed as follows:
An inscribed angle is an angle with its vertex "on" the circle formed by two intersecting chords as in our drawing. Thus here we shall use the formula:
Inscribed Angle=1/2 intercepted Arc
thus
m∠ABC=1/2mAC
thus plugging in our values we shall have:
4x-3.5=1/2(4x+17)
4x-3.5=2x+8.5
solving simplifying and solving for x we obtain
4x-2x=8.5+3.5
2x=12
hence
x=12/2
x=6°
Answer:
5) 18.8 cm
7) 49.5 ft
Explanation:
The formula for arc length is S = θ * r
5) S = 18 cm * Pi/3 (60 degrees in radians)
S = 6 Pi cm
S ≈ 18.8 cm
7) S = 9 ft * 7 Pi / 4
S = 63 Pi ft / 4
S ≈ 49.5 ft
Or this question you should know that:
1/3 = (1*4)/(3*4) = 4/12
and
2/3 = (2*4)/(3*4) = 8/12
so you can see that 7/12 is greater than 4/12 which is 1/3 and less than 8/12 which is 2/3 :))))
i hope this is helpful
have a nice day
Answer:
The answer is 11.2 cm
Step-by-step explanation:
