A local startup company earns an annual profit according to the function () = 0.62 + 6.6 − 10, where t represents the number of years and p(t) represents the annual profit in thousands of dollars. a. Estimate the profit (or loss) of the startup after the first year to the nearest hundred.
8a)
b. Estimate the profit (or loss) of the startup after the fifth year to the nearest hundred.
8b)
c. Estimate the time needed for the startup to break even to the nearest hundredth.
8c)

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

explanation:

step-by-step explanation: