Answer:
Total annual premium = $1770.10
Step-by-step explanation:
Given the information in the problem, looking at the different categories of each level of insurance and the corresponding premium will give you the amounts for each part. To find the total annual premium, you need to find the sum of all the parts and then multiply this by the rating factor for his gender and age group.
Since he is purchasing 100/300/100 liability insurance, you need to first look at the 'Liability Insurance' table and locate the 100/300 option under 'Bodily Injury'. This premium is $450. Also, he is purchasing an additional 100 for Property damage which is an added premium of $375.
Next, he is getting collision insurance with a $100 deductible. This is the second column in the second table and has a premium of $215. He also wants comprehensive insurance with a $250 deductible which has a premium of $102.
Since he is a 26-year-old male, his rating is 1.55, so we will need to multiply the sum of his premiums by this number:
(450 + 375 + 215 + 102)1.55 = $1770.10
Answer:
The substance decays by 7.5% every year
Step-by-step explanation:
Answer:
pi × 18cm^2
Or approximately,
56.52cm^2 (using 3.14 for pi)
or
56.5487cm^2 (using pi button on calculator)
Step-by-step explanation:
Area of a circle is pi times [radius squared].
All circles are 360°.
Problem can be solved by finding area of whole circle, and then using ratios.
Whole Circle: area = pi × (9cm)^2 = pi × 81cm^2
80° / 360° = Area[shaded] / (pi × 81cm^2)
pi × 18cm^2 = Area[shaded]
((If you read my answer before the edit, I am sorry. I made a calculator error.))
Answer:
Step-by-step explanation:
From the previous answers you know the angles and side lengths of the triangle:
α = 60°
Ф = 30°
and the side lengths:
1,2 and √3.
Remember:
sin = opposite / hypotenuse
cos = adjacent / hypotenuse
tan = opposite / adjacent
Now you can read off from the triangle:
sin 30° = 1/2
cos 60° = 1/2
sin 60° = √3/2
cos 30° = √3/2
tan 30° = 1/√3
tan 60° = √3
