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irga5000 [103]
2 years ago
6

The original price of a pair of sneakers is represented by (p). The sneakers are on sale for 32% off. If a 7% sales tax is appli

ed after the discount, it can be represented by the expression
0.68p + (0.68p)(0.07)

Which of the expressions below is NOT equivalent to the one above?
Mathematics
1 answer:
IRISSAK [1]2 years ago
8 0

Answer:

.

Step-by-step explanation:

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The publisher of a recently released nonfiction book expects that over the first 20 months after its release, the monthly profit
wolverine [178]

Answer:

(a)\frac{dP}{dt}=\frac{4800-1600t-240t^2}{(t^2+20)^2}

(b)P'(5)=-($4.54) Thousand

(c)P'(11)=-($2.10) Thousand

(d)The fifth Month

Step-by-step explanation:

Given the monthly profit model:

P(t)=\frac{240t-40t^2}{t^2+20}

(a)We want to derive a model that gives the Marginal Profit, P' of the book.

We differentiate

P(t)=\frac{240t-40t^2}{t^2+20} using quotient rule.

\frac{dP}{dt}=\frac{(t^2+20)(240-80t)-(240t-40t^2)(2t)}{(t^2+20)^2}

Simplifying

\frac{dP}{dt}=\frac{4800-1600t-240t^2}{(t^2+20)^2}

We have derived a model for the marginal profit.

(b) After 5 months, at t=5

Marginal Profit=P'(5)

\frac{dP}{dt}=\frac{4800-1600t-240t^2}{(t^2+20)^2}

P^{'}(5)=\frac{4800-1600(5)-240(5)^2}{(5^2+20)^2}

=-($4.54) Thousand of dollars

(c)Marginal Profit 11 Months after book release

P^{'}(11)=\frac{4800-1600(11)-240(11)^2}{(11^2+20)^2}

=-($2.10) Thousand of dollars

(d) Since the marginal profit at t=5 is negative, after the 5th Month, the profit starts to experience a steady decrease.

6 0
2 years ago
What is the rate of change?? please i need asap
Mariana [72]

Answer: Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. ... Subtract one and multiply the resulting number by 100 to give it a percentage representation.

Step-by-step explanation:

7 0
2 years ago
What is the most efficient first step to isolate the variable term on one side of this equation?
Nat2105 [25]

Answer:subtract by 4x on each side first

Step-by-step explanation:

When you do so you'll get 5x on the left side of the equal sign and -5 on the right side. Next you would divide by 5 on both sides and this gives you x on the left side and -1 as your answer on the right side.

7 0
3 years ago
Read 2 more answers
Britney bought 2 apples, 5 bananas, and 8 oranges at the grocery store.
Sladkaya [172]

Answer:

2 apples: 5 bananas: 8 oranges

Final answer: 1 apple: 2,5 bananas ( divide by 2 )

5 0
3 years ago
Read 2 more answers
PLEASE SOMEBODY HELP ASAP
Akimi4 [234]

Answer:

the probability of the dice is 1/6 and the probability of the spinner is 1/4.

Step-by-step explanation:

the probability of the dice=E/S=E=1 and S=6 because it is one dice. so P=1/6.

the probability of the spinner=E/S=E=1 and S=4 because the spinner is divided into 4. so P=1/4

5 0
3 years ago
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