The dollar value v (t) of a certain car model that is t years old is given by the following exponential function. v (t) = 19,900 (0.76)ʻ Find the initial value of the car and the value after 12 years. Round your answers to the nearest dollar as necessary. Initial value: Value after 12 years:

Q: Find the logarithm. log(10, 000, 000) =

A: Solution-

Q: Lower pH values indicate a more acidic solution. (a) Normal rain has a pH value of 5.6. Rain in the…

A:

Q: Simplify the following expression: m logm ()

A: The logarithmic property states that alogax=x.

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Q: Solve the following exponential equation for x. Write the answer as both an exact expression and as…

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Q: A country has a population of around 100 million people. It is estimated that the population will…

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Q: *UPLOAD A PHOTO OF YOUR SOLUTION, write final answer below* Solve for n: log,(log,2n)'=21

A:

Q: find the associated half-time or doubling time.  Q=1300e-0.025t

A:

Q: Use the formula  R = log   I I0  . † The world's strongest earthquake struck Chile in 1960 and…

A: Given: Ritcher scale formula: R=logII0

Q: Suppose that $2,500 is deposited into an account paying 6.2% interest compounded continuously.…

A: $2,500 is deposited into an account paying 6.2% interest compounded continuously.

Q: Solve the equation below. Give your answer in exact form. (5) - = 10 3 Entry Tip: Be sure to use log…

A: see below the answer

Q: Use the change of base formula to find the approximate value of log(base 5) 39 . Round to four…

A: Given : The logarithmic function log539. To find : The approximate value of the given using the…

Q: Fill in the table for the exponential function given by f (x) = 3 (2)" 0 1 C X -1 f(x) a a. -8 2 d…

A: Let's find value of a,b,c and d.

Q: Create a table of values and sketch the exponential function: y = 2.0(4)x

A:

Q: Fill in the table of values for each function, then plot your points to graph each curve together on…

A:

Q: Solve for x: ,7' log, (2") = 3

A: We have to solve for x  log2 (x7) = 3

Q: Find the logarithm using the change of base formula. log 420

A:

Q: Solve for : log, (+ 6) = 2 Write log (a+ 6) = 2 in exponential form. Find the value of x.

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.