6. a company sells calculators. if the price of the calculator in dollars is p, the company estimates that…
6. a company sells calculators. if the price of the calculator in dollars is p, the company estimates that it will sell 10,000 - 120p calculators.\nwrite an expression that represents the revenue in dollars from selling calculators if a calculator is priced at p dollars.\n7. is (s + t)^2 equivalent to s^2+2st + t^2? explain or show your reasoning.
Answer
Explanation:
Step1: Recall revenue formula
Revenue = Price × Quantity.
Step2: Identify price and quantity
Price of each calculator is $p$, quantity of calculators sold is $10000 - 120p$.
Step3: Calculate revenue expression
Revenue $R=p(10000 - 120p)=10000p-120p^{2}$.
Answer:
$10000p - 120p^{2}$
Explanation:
Step1: Expand $(s + t)^{2}$
$(s + t)^{2}=(s + t)(s + t)$.
Step2: Use FOIL method
$(s + t)(s + t)=s\times s+s\times t+t\times s+t\times t$.
Step3: Simplify
$s\times s+s\times t+t\times s+t\times t=s^{2}+st+st + t^{2}=s^{2}+2st + t^{2}$.
Answer:
Yes, because $(s + t)^{2}=(s + t)(s + t)=s^{2}+2st + t^{2}$ using the FOIL - method for expanding binomials.