Answer:
The Amount paid by dealers is $20464.75
Step-by-step explanation:
Given as :
The base price of car = $23,800
The option cost of car stereo = x = $365
The option cost of car wheels and paint = y = $900
Total option cost = $365 + $900
The charges of destination = $640
The Amount paid by dealer = 82% of total base price + 75% of total option cost
Let The Amount paid by dealers = $A
Now, According to question
The Amount paid by dealers = 82% of total base price + 75% of total option cost
i.e A = [tex]\dfrac{82}{100}[/tex] × total base price + [tex]\dfrac{75}{100}[/tex] × total option cost
Or, A = [tex]\dfrac{82}{100}[/tex] × total base price + [tex]\dfrac{75}{100}[/tex] × (x + y)
Or, A = [tex]\dfrac{82}{100}[/tex] × $23,800 + [tex]\dfrac{75}{100}[/tex] × ($365 + $900)
Or, A = [tex]\dfrac{82}{100}[/tex] × $23,800 + [tex]\dfrac{75}{100}[/tex] × $1265
Or, A = 82 × $238 + 75 × 12.65
Or, A = $19,516 + $948.75
Or, A = $20464.75
So, The Amount paid by dealers = A = $20464.75
Hence, The Amount paid by dealers is $20464.75 Answer