If we have a formula giving the cholesterol level of a patient as a functionof time, how can we find the average cholesterol level over a certainperiod of time?

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Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

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Q: True or false: If a 90% CI for the population mean age is calculated to be [56 years, 66years] then…

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Q: suppose the half-life of caffeine in the bloodstream of a healthy adult is 6 hours. If the person…

A: Given: initial quantity of caffeine C0=200 mgt=12 hrs (11 am to 11 pm)half life t12= ln 2K…

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A: Given Half life of carbon-14 =5700 years  i.e. and an item is found with only 17% of the original…

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A: Follow the steps.

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Q: Average health premiums have been increasing at a rate of 10%. If an average family's premiums are…

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Q: A quantity with an initial value of 200 grows continuously at a rate of 55% per day. What is the…

A: Let the quantity Pn grown continuously at a rate of 55% per day. Initial quantity is P0=200.

Q: A quantity with an initial value of 220 grows continuously at a rate of 9.5% per hour. What is the…

A: Consider the provided question, Given, initial value = 220  Rate, r = 9.5% = 0.095 per hour t = 225…

Q: Suppose the population of a city has been growing at a rate of 2.5% per year for each of the last 8…

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Q: The median selling price of an existing home in the US increased continuously over the period…

A: Given that             The median selling price of an existing home in the US increased continuously…

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Q: If the population of bacteria in a certain region triples in 30 days. In how many days will be three…

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Q: 2. For a period of time, an island's population grows at a rate proportional to its population. If…

A: Let A0 be the initial population and k be the growth rate.A0 = 1174k = 6.5%  = 0.065

Q: What rate of interest compounded continuously will yieldan effective interest rate of 6%?

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Q: A quantity increases by 6% for each 10 years.  What is its percentage increase over the 10-year…

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Q: Consider the constant rate of depreciation value of a certain car. You bought a car amounting to 1.5…

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Q: Suppose that a person learns y items in x hours, as given by y = 40/x, 0sxs4. Find the rate of…

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Q: The population of a certain state is known to grow at a rate proportional to the number of people…

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Q: If a new Mustang is valued at $20,000 and five years later it is valued at $8000 then what is the…

A: A new Mustang is valued at $20,000 and five years later it is valued at $8000. Let x be the year and…

Q: A quantity with an initial value of 850 grows continuously at a rate of 90% per decade. What is the…

A: Given: A quantity with an initial value of 850 grows continuously at a rate of 90% per decade. To…

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Q: The rate of change of the male population of a particular barangay is proportional to the male…

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Q: (a) find the value of A and a, correct to 3 decimal places, (b) predict the percentage of…

A: Topic:- exponential function

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Q: Interest is compounded continuously at 5%.  How long until a $5000 investment grows to $12000?

A: Interest is compounded continuously at 5% $5000 investment grows to $12000

Q: Assume that the population of a certain city increases at a rate proportional to the number of…

A: Note: There are two problems of same type. We will solve the first one for you. Kindly repost the…

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Q: the instantaneous weight growth rate at week 16 greater or smaller or the same than the average rate…

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Q: The growth rate of a colony of rabbits is 40% per month. If the initial population of the colony 100…

A: The initial population of the rabbits is 100. It is given that the growth rate of rabbits is 40% per…

Q: Three thousand dollars is deposited in the bank at 4% interest compounded continuously. What will be…

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Q: A biology experiment begins with 5 cells. In four days, the experiment grows to 164 cells. Assuming…

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Q: How are the rate constant and the doubling time related?

A: Explanation: The exponential growth function is y(t)=y0ekt where k  is the positive constant rate…

Q: Assume the rate at which the zombies spread is jointly proportional to the number of encounters…

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Q: A rod is sliding down the side of a wall such that the height is decreasing at a rate of 5 inches…

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Q: A quantity with an initial value of 8200 grows continuously at a rate of 0.55% per decade. What is…

A: Initial Value=  8200. Growth rate= 0.55% . We can formulate the following equation for "t" years :…

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Q: If a city's population is 1.3 million now and will grow at a continuous rate of 4.5% in the future,…

A: from 2020 to 2030 there is 10 year In each year population is increasing by 4.5 %

Q: A quantity with an initial value of 3600 grows continuously at a rate of 2.5% per decade. What is…

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Q: Consider the constant rate of depreciation value of a certain car. You bought a car amounting to 1.5…

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Q: If $2000 is invested at 7.2% compounded continuously, graph the amount in the account as a function…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.