Find the exponential function that passes through the points (−10/13 , 6) and (14 ,1/10). Round the numbers in your final answer to three decimal places each.

The dollar value vt of a certain car model that is t years old is given by the following exponential function. =vt29,9000.90t Find the value of the car after 6 years and after 13 years. Round your answers to the nearest dollar as necessary.

The number of domain hosts grew according to the rule Next year’s number = 1.43 x Current number a. Find the percentage increase each year b. The number of domain hosts in 1995 was 8.2 million. Find an exponentialformula that gives the number of hosts in terms of the time, in years since1995. c. What number of internet domains does your formula in part b give for 2005? Round your answer to the nearest million.

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A coin sold for ​$237 in 1978 and was sold again in 1987 for $441. Assume that the growth in the value V of the​ collector's item was exponential.     Find the value k of the exponential growth rate. Assume Vo=237.

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In a wildlife refuge, scientists have released six rabbits. They return one year later and have noticed that the rabbit population has risen to fifty rabbits. Create the exponential formula for this situation. Use appropriate variables other than ‘x’ and ‘y’ in your formula. Create the graph of this formula in Excel and label the axes properly. Display your equation on the graph.

The value of an electronic device is currently $100, and the value is decreasing exponentially by 10% each year. Determine how much the device should be worth in 7 years. Value dollars Round your final answer to the nearest whole dollar. Please enter only digits in the answer box. Do not include any labels.