Aurora owns a toy factory. She is projecting various business costs and needs to compute the total cost of buying different types of business insurance. Using the information in the table, compute the total cost of the insurance that Aurora needs. Insurance Type Annual Cost general liability insurance $800
business interruption insurance $1,200
property insurance $500
commercial auto insurance $900
Type the correct answer in each box. Use numerals instead of words.

Let’s say Aurora wants to buy a business insurance policy that protects her factory from damages resulting from fire, as well as any lawsuits filed by customers. In this case, the total cost of Aurora’s insurance will be $ .

Let’s now assume that Aurora wants to buy insurance that covers all damages to the vehicles at her factory and any losses incurred from the interruption of daily factory operations. In this case, the total cost of insurance for Aurora will be $ .

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt