Mike and perry run a art company. They work together to make and paint custom pieces. Mike charges a $100 flat fee for each art piece he makes, plus $420 for each hour he spends making.
Perry charges a $150 flat fee for each painting he paints, plus $390 for each hour he spends painting.

a) Represent what mike charges for one art piece

b) Represent what Perry charges for one painting

c) Write a new simplified expression that represents their total charges, together, for one art piece.

d) Use your answer from part c) to calculate the total cost of a dresser if mike spends 7 hours on drawing it and Perry spends 4 hours on painting it.

answer   download the app called socratic on your phoner:

step-by-step explanation:

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

80

step-by-step explanation: