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
Profit = Revenue - Cost = R(x) - C(x) = (x^2 + 20x + 50) - (50x + 30) = x^2 - 30x + 20
First, you have to transform your numbers into proper fractions:
1 and 3/5 = (5+3)/5 = 8/5
1 and 1/5 = (5+1)/5 = 6/5
Therefore your arithmetic sequence is 2, 8/5, 6/5, ...
In an arithmetic sequence, the difference between a given term and the preceding one is equal to the difference between the <span>following </span>term and the given one. In your case:
d = 8/5 - 2 = (8-10)/5 = -2/5
As a prove: d = 6/5 - 8/5 = -2/5
Now, in order to find the 25th term you need to apply the formula:
an = a + (n - 1)d
where an is the number you are looking for, a is the first term, n is the term you are looking for and d is the distance.
Hence,
a₂₅ = 2 + (25-1)(-2/5) = 2 - 24·2/5 = 2 - 48/5 = (10-48)/5 = -38/5
Answer:
D. 220.16 Square feet
Step-by-step explanation: The shaded area is the space in the square not filled by the circle. So we need to find the area of the circle. The formula for area of a circle is 
. So we fill in this equation with the information we already know:
Simplify the exponents
Multiply
So now we know the area of the circle we have to find the area of the square because the circle is inside the square. It is a simple 
which is 1,024. Since we are looking for the shaded area we will subtract the area of the circle from the area of the square because the circle is not shaded.
1024-803.94= 220.16 square feet
$157.50 would be the amount that you earn in interest
