Answer: Option 'A' is correct.
Step-by-step explanation:
Since we have given that
30% chance that the company will lose $30000.
40% chance of a break even that there is no loss and no profit.
30% chance that the company will profit $ 60000.
As we know the formula for "Expectation":
So, Expected value will be

Expected value is $9000. So, the company should proceed with the project.
Hence, Option 'A' is correct.
Answer:
Step-by-step explanation:
tan Θ + tan 2Θ + √3 tan Θ tan 2Θ = √3
tan Θ + tan 2Θ = √3 - √3 tan Θ tan 2Θ
tan Θ + tan 2Θ = √3 ( 1 - tan Θ tan 2Θ)
(tan Θ + tan 2Θ) / (1 - tanΘ tan 2Θ) = √3
tan(Θ + 2Θ) = √3
tan 3Θ = tan (
) we know tan Θ = tan α; Θ = nΠ + α, n belongs to z
3Θ = nΠ + Π/3
Θ = nπ/3 + Π/9 for all n in Z
Unlike credit card purchases, interest charged on cash advances is already incurred even if you pay before the due date.
32% is the annual interest rate
1 month is the term
200 is the principal
32% / 12 months = 2.67% per month
200 * 2.67% = 5.34 monthly interest
200 * 32% = 64 annual interest
64/12 = 5.33 monthly interest
She has to pay $5.34 in interes
Answer: P(not shaded sector) = 0.50
Step-by-step explanation:
Since we have given that
Number of shaded parts = 6
Number of unshaded parts = 6
Total parts = 6+6 = 12
So, Probability of getting not shaded sector is given by

Hence, P(not shaded sector) = 0.50
Answer:
48
Step-by-step explanation:
80/100=0.8
0.8x60=48