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loris [4]
2 years ago
15

HELP for 20 points PLAES

Mathematics
1 answer:
Yuki888 [10]2 years ago
3 0

Answer:

Step-by-step explanation:

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If a price decreases by 20% I can calculate 20% of the price and subtract it from the original price or I can calculate it in on
Irina-Kira [14]

Answer:

both statements are fine

Step-by-step explanation:

To find the price of a product after decreasing it, they can be done in the two ways that the statement tells us,

First, calculate that% that was decreased and then subtract it from the original price or simply multiply that original price by the percentage in which the new price would remain.

For example:

let "x" be the original price

in the first case it would be:

0.2 * x and then subtract from x, i.e .:

x - 0.2 * x

in the second case it is:

1 - 0.2 = 0.8

that is, the new price would be 0.8 * x

6 0
2 years ago
Factor the expression and then evaluate without a calculator:
ivanzaharov [21]
The answer to the question

4 0
3 years ago
Could you explain this please. Than You.<br>4/7 × 50/9 × 27/16
Vladimir79 [104]
That is the answer to it

7 0
2 years ago
Justine earned $28,000 during the first year of her job at city hall. After each year she received a 6% raise. Find her total ea
Verdich [7]

Answer:

$ 157838.60  in 5 years

Step-by-step explanation:

r = 1.06

sum of geometric seq =  a1 ( 1-r^n)/(1-r)    n = 5

                                        28000 ( 1 - 1.06^5) / ( 1-1.06) = 157838.60

5 0
1 year ago
F(x) = e^-x . Find the equation of the tangent to f(x) at x=-1​
natima [27]

Answer:

The <em>equation</em> of the tangent line is given by the following equation:

\displaystyle y - \frac{1}{e} = \frac{-1}{e} \bigg( x - 1 \bigg)

General Formulas and Concepts:

<u>Algebra I</u>

Point-Slope Form: y - y₁ = m(x - x₁)

  • x₁ - x coordinate
  • y₁ - y coordinate
  • m - slope

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Derivative Property [Multiplied Constant]:
\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)

Derivative Rule [Basic Power Rule]:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:
\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)

Step-by-step explanation:

*Note:

Recall that the definition of the derivative is the <em>slope of the tangent line</em>.

<u>Step 1: Define</u>

<em>Identify given.</em>

<em />\displaystylef(x) = e^{-x} \\x = -1

<u>Step 2: Differentiate</u>

  1. [Function] Apply Exponential Differentiation [Derivative Rule - Chain Rule]:
    \displaystyle f'(x) = e^{-x}(-x)'
  2. [Derivative] Rewrite [Derivative Rule - Multiplied Constant]:
    \displaystyle f'(x) = -e^{-x}(x)'
  3. [Derivative] Apply Derivative Rule [Derivative Rule - Basic Power Rule]:
    \displaystyle f'(x) = -e^{-x}

<u>Step 3: Find Tangent Slope</u>

  1. [Derivative] Substitute in <em>x</em> = 1:
    \displaystyle f'(1) = -e^{-1}
  2. Rewrite:
    \displaystyle f'(1) = \frac{-1}{e}

∴ the slope of the tangent line is equal to  \displaystyle \frac{-1}{e}.

<u>Step 4: Find Equation</u>

  1. [Function] Substitute in <em>x</em> = 1:
    \displaystyle f(1) = e^{-1}
  2. Rewrite:
    \displaystyle f(1) = \frac{1}{e}

∴ our point is equal to  \displaystyle \bigg( 1, \frac{1}{e} \bigg).

Substituting in our variables we found into the point-slope form general equation, we get our final answer of:

\displaystyle \boxed{ y - \frac{1}{e} = \frac{-1}{e} \bigg( x - 1 \bigg) }

∴ we have our final answer.

---

Learn more about derivatives: brainly.com/question/27163229

Learn more about calculus: brainly.com/question/23558817

---

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

3 0
2 years ago
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