Answer:
2
Step-by-step explanation:
A = P( 1+r/n) ^ (nt)
P is the amount invested
r is the rate
n is the number of times per year the interest is compounded
t is the number of years
every 6 months is twice a year
so n is 2
So, first let's change these numbers into decimal form:
3*0.1 + 4*0.01 + 8*0.001 ? 1.2
Multiply:
0.3 + 0.04 + 0.008 ? 1.2
0.348 < 1.2
One and two tenths is larger.
Hopefully this is what you're asking, as this question is unclear
The answer to the problem is obvious it’s BLANK
Answer:
∠ DAB = 48°
Step-by-step explanation:
The sum of the 3 angles in Δ ACD = 180° , then
∠ CAD + 60° + 90° = 180° , that is
∠ CAD + 150° = 180° ( subtract 150° from both sides )
∠ CAD = 30°
Then
∠ DAB + ∠ CAD = ∠ CAB
∠ DAB + 30° = 78° ( subtract 30° from both sides )
∠ DAB = 48°
Answer:
ln|sec θ + tan θ| + C
Step-by-step explanation:
The integrals of basic trig functions are:
∫ sin θ dθ = -cos θ + C
∫ cos θ dθ = sin θ + C
∫ csc θ dθ = -ln|csc θ + cot θ| + C
∫ sec θ dθ = ln|sec θ + tan θ| + C
∫ tan θ dθ = -ln|cos θ| + C
∫ cot θ dθ = ln|sin θ| + C
The integral of sec θ can be proven by multiplying and dividing by sec θ + tan θ, then using ∫ du/u = ln|u| + C.
∫ sec θ dθ
∫ sec θ (sec θ + tan θ) / (sec θ + tan θ) dθ
∫ (sec² θ + sec θ tan θ) / (sec θ + tan θ) dθ
ln|sec θ + tan θ| + C
