The weight (in pounds) w equals f w=f(d) of an object varies inversely as the square of its distance (in thousands of miles) d from the center of Earth.a. An astronaut weighs180 pounds at sea level (about 4 thousand miles from Earth’s center). Find an equation off. f(d)equals= poundsb. How much would the astronaut weigh at 44 thousand miles above Earth’s surface?c. At what distance from the center of Earth would the astronaut weigh 1 pound?miles2. Consider a student loan of $25,000 at a fixed APR of 99% for 30 years.a. Calculate the monthly payment.b. Determine the total amount paid over the term of the loan.c. Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest.a. The monthly payment is $. (Do not round until the final answer. Then round to the nearest cent as needed.)The nutrition information on the cereal box says that a 1/2-cup serving provides 150 calories and 99grams of dietary fiber. At that rate, find how many calories and grams of fiber are in a 1/3-cup serving.3. The table shows the leading causes of death in a certain country in a recent year. The population of the country was 316316million. What is the empirical probability of death by pneumonia or influenzapneumonia or influenza during a single year? How much greater is the risk of death by pneumonia or influenzapneumonia or influenza than death by kidney diseasekidney disease? CauseDeaths CauseDeaths Heart disease596,700 Alzheimer’s disease84,800 Cancer575,800 Diabetes73,800 Chronic respiratory diseases143,200 Pneumonia/Influenza53,700 Stroke128,700 Kidney disease45,900 Accidents122,600 Suicide38,400The empirical probability of death by pneumonia or influenzapneumonia or influenza during a single year is .(Round to five decimal places as needed.)
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