56. In 1990, the population of a small town was 2800. Each year since 1990, the population of the town has increased by 6%. Determine the formula for a function P(t) that gives the population of the town years after 1990.

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A: topic- differential equations and integration

Q: 31 8. The number of bacteria present in a Petri dish can be modeled by the function N = 50e", where…

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Q: write an expression for the population as a function of time in years.

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Q: The population of Egypt can be modeled by the function P(t) = 114(1 +0.018)* where P(t) measures the…

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Q: The number of bacteria  Pt  in a certain population increases according to the following function,…

A: The function f(t) is a rule that associates or fixes a number to the particular t. When the value of…

Q: In 1977 a math professor bought her condominium in Cambridge, Massachusetts, for $70,000. The value…

A: Let number of years after 1977 be t.In 1977 the initial amount of condominium is $70,000.The amount…

Q: The population of Egypt can be modeled by the function P(t) = 114(1 + 0.018) where P(t) measures the…

A: topic - exponential function

Q: 25 g of polonium-210 is decaying exponentially. After 50 days 19.5 g of polonium-210 is left. Write…

A: Let y be the number of grams of Polonium-210 at any time t dydt is directly proportional to…

Q: The number of books in a small library increases according to the function B=5600e0.03t  where t is…

A: In the library, the number of books increases according to the function:

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A: Both 5 and 6 has been solved as per the request of the student.

Q: The number of bacteria P (t) in a certain population increases according to the following function,…

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Q: Assume that Switzerland's population grows at a rate of 0.16 percent a year and that the 1988…

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Q: 1. The Empire State Building is 1250 feet tall. If an object is thrown upward from the top of the…

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Q: 4. The value, V(t), in dollars, of a certain vehicle as a function of time, t, in years, depreciates…

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Q: 1. The height of an object is represented by the function h(t) = 400 - 16, where 400 represents the…

A: The function represents the height of an object at time given byh(t) = 400-16t2to reach the ground…

Q: In 2005, Bhutan had a population of about 2200000 and an annual growth factor of 1.0211. Let f(t) be…

A: In 2005, Bhutan had a population of about 2200000 and an annual growth factor of 1.0211. Let f(t) be…

Q: Suppose that $85,000 is invested at 5,% interest, compounded quarterly. a) Find the function for the…

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Q: . The population of rabbits in an island at the beginhling of 2020 was 1000. a. The population has…

A: Solution

Q: 12. In the year 2011, the population of the town of Bend, OR was 75,841 people. In 2019, the…

A: Given: In the year 2011, the population of the town of Bend, OR was 75,841 people. In 2019, the…

Q: 5. The following function represents the amount of money that Alisha has saved after w week f(w) =…

A: Given query is to discribe the variables of linear function.

Q: #2: Another city showed the exact opposite, its population was increasing by 15%. If in 1980 it also…

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Q: Fifty percent of the amount of a certain drug is eliminated from the body every hour. A 500mg drug…

A: Given that the 50% amount of a certain drug is eliminated from the body after every hour.i.e if…

Q: Suppose that the population of some state in 2010 was P = 37 million and its annual percentage rate…

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Q: Suppose that $60,000 is invested at 8% interest, compounded annually. After time t, in years, it…

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Q: The rate of growth of sales (sales per day) for a particular company is predicted to be 30e0.6",…

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Q: The value of the exponential function g(x) is 340 when x=2 and decreases by 15% for every two-unit…

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Q: The life expectancy E of a main-sequence star depends on its mass M. The relation is given by the…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 12. In the year 2011, the population of the town of Bend, OR was 75,841 people. In 2019, the…

A: In the year 2011, the population of the town of Bend, OR was 75,841 people. In 2019, the population…

Q: After 4.00 days, a sample of Uranium-237 decays to 66.4% of its original amount. Find: an expression…

A: Given that, After 4 days, a sample of Uranium-237 decays to 66.4% of its original amount.

Q: estimate the number of cases in the year 2010.

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Q: For each year, the population of a forest of trees is represented by A(t)=115(1.025)t.   In a…

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Q: 8) In 1963, the number of cars in the U.S. was about 1.7 million. By 1988, it had increased to about…

A: (8) given in 1963 the number of cars in U.S. was about 1.7 million. by 1988 it had increased to…

Q: 2. After 4.00 days, a sample of Uranium-237 decays to 66.4% of its original amount. Find: an…

A: We will solve the problem

Q: The number of reports of a certain virus has increased exponentially since 1960. The current number…

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Q: The number of bacteria in a culture of cells at a time t is given by the function N (t) = 2000 ( 30…

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Q: Assume that Switzerland's population grows at a rate of 0.19 percent a year and that the 1988…

A: (a).givengrowth rate=.19 percentor    r=0.0019population in 1988 is 6.4…

Q: A newly discovered isotope has a half-life of 2.5 days. A sample starts with a mass of 400 mg. Write…

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Q: In a certain culture, an initial population of 6000 bacteria grows to 9000 bacteria after 20…

A: Note: The function is assumed to be n(t)=n0ert .   For the exponential function, n(t)=n0ert, n0 is…

Q: Complete the table shown to the right for the​ half-life of a certain radioactive substance. ​…

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Q: In 1977 a math professor bought her condominium in Cambridge, Massachusetts, for $80,000. The value…

A: The value of condominium bought by the maths professor is $80,000 in the year 1977 and it has risen…

Q: Following an unexplained decline in the number of birds of prey on his property, a farmer sees a…

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Q: Find the half-life of a radioactive element, which decays according to the The half-life of the…

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Q: Suppose that the dollar value v(t) of a certain car that is t years old is v (t) = 32,000 (1.24)'…

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Q: 3. Caroline puts $400 into a savings account that earns 6% annually. Write a function that…

A: The simple interest formula is given below: where, A is the total amount, P is the principal…