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Scilla [17]
3 years ago
12

The cost of admission to the state fair changed from 8.50 last year to 10.00 this year.round to the nearest tenth show your work

Mathematics
1 answer:
Nitella [24]3 years ago
4 0

Answer:

A. What is the percent of change from last year to this year.

Answer: The percent of change from last year to this year is:

\frac{10.00 - 8.50}{8.50} \times 100

\frac{1.50}{8.50} \times 100

17.65 \%

Therefore, the percent change from last year to this year is 17.65%

B. Is this a percent increase or decrease?

Answer: This is a percent increase.

C. If you have 25% off coupon to use on 10.00 ticket what is the cost?

Answer: The 25% of 10.00 is given below:

\frac{25}{100} \times 10.00

0.25 \times 10.00

2.5

Therefore, the cost is:

10.00 -2.5 =7.5



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Find the derivative using the limit process of f (x) = - 10x
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Answer:

\frac{d}{dx} f(x) =-10

General Formulas and Concepts:

<u>Calculus</u>

  • Derivative Notation
  • Definition of a Derivative: \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = -10x

<u>Step 2: Find Derivative</u>

  1. Substitute:                         \frac{d}{dx} f(x)= \lim_{h \to 0} \frac{-10(x + h)-(-10x)}{h}
  2. Distribute -10:                    \frac{d}{dx} f(x)= \lim_{h \to 0} \frac{-10x -10h-(-10x)}{h}
  3. Distribute -1:                      \frac{d}{dx} f(x)= \lim_{h \to 0} \frac{-10x -10h+10x}{h}
  4. Combine like terms:         \frac{d}{dx} f(x)=  \lim_{h \to 0} \frac{-10h}{h}
  5. Divide:                               \frac{d}{dx} f(x)=  \lim_{h \to 0} -10
  6. Evaluate:                           \frac{d}{dx} f(x)=-10
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You have 36 roses because you have eight more pink than red so that means you have 22 pink and 14 red. 22 + 14 = 36
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