It takes 78 days to create a custom motorcycle. Write an algebraic expression to describe the number of days it takes to create
2 answers:
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Let m∠CLN = x. Then m∠ALM = 3x, and m∠A = 90°-x, m∠C = 90°-3x.
The sum of angles of ∆ABC is 180°, so we have
... 180° = 40° + m∠A + m∠C
Using the above expressions for m∠A and m∠C, we can write ...
... 180° = 40° + (90° -x) + (90° -3x)
... 4x = 40° . . . . . . . . . add 4x-180°
... x = 10°
From which we conclude ...
... m∠C = 90°-3x = 90° - 3·10° = 60°
The ratio of CN to CL is
... CN/CL = cos(∠C) = cos(60°)
... CN/CL = 1/2
so ...
... CN = (1/2)CL
Answer:
The answer is 23 years.
Step-by-step explanation:
We will use the formula :
Here P = 220
r = 3%
A = 400
Putting these values in the formula we get,
Taking log on both sides,
ln(1.03)t=ln 2
t=23.44 or rounding to nearest, t=23 years
The graph of the function can be shown as below.
