With a certain medical insurance​ policy, the customer must first pay an annual ​$100 ​deductible, and then the policy covers 80​% of the cost of​ x-rays. The first insurance claims for a specific year submitted by a person are for two​ x-rays. The first​ x-ray cost ​$620​, and the second​ x-ray cost ​$960. How​ much, in​ total, will he need to pay for these​ x-rays?

Device a system of equations that would have this solution (3k-4, k, 5k+1)

Assume the a star orbits the center of the Galaxy in 340 million years at a distance of 40,000 light-years. Given that D3=(M1+M2)×P2D3=(M1+M2)×P2, where DD is the orbital distance (in AUs) and PP is the orbital period (in years), what is the mass of the Galaxy within the star's orbit? (Hint: 1 light-year = 63,240 AU).

Ike’s Bikes is a major manufacturer of bicycles. Currently, the company produces bikes using only one factory. However, it is considering expanding production to two or even three factories. The following table shows the company’s short-run average total cost (SRATC) each month for various levels of production if it uses one, two, or three factories. (Note: Q equals the total quantity of bikes produced by all factories.)

Average total cost (dollars per bike)

Suppose Ike’s Bikes is currently producing 25 bikes per month in its only factory. Its short-run average total cost is

per bike.

Suppose Ike’s Bikes is expecting to produce 25 bikes per month for several years. In this case, in the long run, it would choose to produce bikes using   .

On the following graph, plot the three SRATC curves for Ike’s Bikes from the previous table. Specifically, use the green points (triangle symbol) to plot its SRATC curve if it operates one factory (SRATC1SRATC1); use the purple points (diamond symbol) to plot its SRATC curve if it operates two factories (SRATC2SRATC2); and use the orange points (square symbol) to plot its SRATC curve if it operates three factories (SRATC3SRATC3). Finally, plot the long-run average total cost (LRATC) curve for Ike’s Bikes using the blue points (circle symbol).

Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically.

Plot SRATC1 SRATC2 SRATC3 SRATC

200

180

160

140

120

100

0 25 50 75 100 125 150 175\

In the following table, indicate whether the long-run average cost curve exhibits economies of scale, constant returns to scale, or diseconomies of scale for each range of bike production.

1. A large insurance company wants to determine whether the proportion of male policyholders who would not submit auto insurance claims of under $500 is the same as the proportion of female policyholders who do not submit claims of under $500. A random sample of 400 male policyholders produced 272 who had not submitted claims of under $500, whereas a random sample of 300 female policyholders produced 183 who had not submitted claims of under $500

a) Construct a 90% confidence interval for the difference between the proportions of males and of females who had not submitted auto insurance claims of under $500.

b) Find the p-value of the appropriate test.

In a random sample of 10 LAS students, the sample mean time spent studying during a particular week was 15.7 hours with sample standard deviation 3.1 hours. In a random sample of 8 Engineering students, the sample mean time studying during the same week was 20.2 hours per month with sample standard deviation 4.4 hours. Assume that the two populations are normally distributed.

a) Assume that the two population variances are equal. Construct a 95% confidence interval for the difference between the overall average times Engineering and LAS students spent studying during this week.

b) Since the larger sample variance is more than twice as big as the smaller one, the assumption of equal variances is questionable here. Construct a 95% confidence interval for the difference between the overall average times Engineering and LAS students spent studying during this week without assuming that the two population variances are equal. Use Welch’s T.

You have a health plan with a $5,000 deductible, a 20% co-insurance and a $10,000 out of pocket maximum.

You need surgery, which will require 3 days in the hospital. The hospital bill is $150,000 total.

How much will you pay?

What time of hypothesis testing can you do for this research question?

The main question is: What is the relationship between "US politics influence” and the “use of health care”?

Which variables can you test in order to see the relationship between "US politics influence” and the “use of health care”

(For example: in 2018, the Trump administration cut back on a lot of health care policies therefore I can test the relationship between death in a hospital and the amount of people not covered by insurance for the year 2018 vs. the relationship between death in a hospital and the amount of people not covered by insurance for the year 2016 (when Obama was in office)

What hypothesis testing can be done in order to see if the relationship exists?

This assignment covers the material in: 2.1 Simple Interest 2.2 Compound Interest 2.3 Annuities 2.4 Amortization

33A. Just before his first attempt at bungee jumping, John decides to buy a life insurance policy. His annual income at age 30 is $35,000, so he figures he should get enough insurance to provide his wife and new baby with that amount each year for the next 35 years. If the long-term interest rate is 6.6%, what is the present value of John's future annual earnings? (Round your answer to the nearest cent.)
_______$

Rounding up to the next $50,000, how much life insurance should he buy? (Round your original answer to the nearest $50,000).

_______$

B. A MasterCard statement shows a balance of $540 at 13.6% compounded monthly. What monthly payment will pay off this debt in 1 year 9 months? (Round your answer to the nearest cent.) ______$

The Blue Sky Flight Insurance Company insures passengers against air disasters, charging a prospective passenger $20 for coverage on a single plane ride. In the event of a fatal air disaster, it pays out $300,000 to the named beneficiary. In the event of a nonfatal disaster, it pays out an average of $75,000 for hospital expenses. Given that the probability of a plane's crashing on a single trip† is 0.00000087, and assuming that a passenger involved in a plane crash has a 0.9 chance of being killed, determine the profit (or loss) per passenger that the insurance company expects to make on each trip. HINT [Use a tree to compute the probabilities of the various outcomes.] Should the insurance company expect a profit or loss on each trip? profit loss What is the value of the profit (or loss)? (Round your answer to the nearest cent.)

A national survey of insurance offices was taken, resulting in a random sample of 253 companies. Of these 253 companies, 181 responded that they were going to purchase new software for their offices in the next year. Construct a 90% confidence interval to estimate the population proportion of insurance offices that intend to purchase new software during the next year.

Suppose you obtain a 20-year mortgage loan of $197,000 at an annual interest rate of 8.2%. The annual property tax bill is $978 and the annual fire insurance premium is $491. Find the total monthly payment for the mortgage, property tax, and fire insurance. (Round your answer to the nearest cent.)

A 55-year old buys a continuous increasing whole life insurance. The benefit payable at the moment of death (time t) is equal to bt=1000t.

Mortality is DeMoivre, with ω=100;δ=0.06

Find the Net Single Premium of this insurance.