Kevin invests $800 in an account that earns 5% simple interest. jeremy invests $600 in an account earning 6% interest compounded annually. who will have earned more interest after 3 years? how much more? a. kevin will have earned $5.39 more than jeremy after 3 years. b. jeremy will have earned $5.39 more than kevin after 3 years. c. kevin will have earned $18.10 more than jeremy after 3 years. d. jeremy will have earned $18.10 more than kevin after 3 years.

the correct answer to the question is option A

Step-by-step explanation:

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5

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