Given circle R , arc BA = 35 and arc DE= 43 what is angle BCA equal to?
1 answer:
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Answer:
65°
Step-by-step explanation:
Sum of interior angles of a triangle = 180°
⇒ m∠EAB = 180 - 90 - 70 = 20°
⇒ m∠DAG = 90 - 45 - 20 = 25°
⇒ m∠AGD = 180 - 90 - 25 = 65°
ΔADG ≅ ΔAFG
⇒ m∠AGD = m∠AGF = 65°
ΔABE ≅ ΔAFE
⇒ m∠AEB = m∠AEF = 70°
Answer:
20 years
Step-by-step explanation:
<u>Continuous Compounding Formula</u>
where:
- A = Final amount
- P = Principal amount
- e = Euler's number (constant)
- r = annual interest rate (in decimal form)
- t = time (in years)
Given:
- A = $10,000
- P = $5,000
- r = 3.5% = 0.035
Substitute the given values into the formula and solve for t:
Therefore, it will take 20 years (to the nearest year) for the initial investment to double.