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olga_2 [115]
3 years ago
13

A jacket is marked down 55% off the original price. If the original price was $160.00, what is the sale price

Mathematics
1 answer:
allochka39001 [22]3 years ago
5 0

Answer:

$88

Step-by-step explanation:

i used the calculator on my computer.

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CALCULUS:
slamgirl [31]

Answer:

1.

E(p)=\frac{p^2}{40-p^2}

E(3) = 0.29

2. See Below

Step-by-step explanation:

1.

According to the formula we would need the derivative, so lets first calculate the derivative of f(p) given.

The rules to use would be f(x)=ax^n\\f'(x)=nax^{n-1}

Also, remember to use chain rule if there is a function inside a function. So we differentiate the "inside" function again.

Now, lets differentiate:

f(p)=\sqrt{40-p^2}\\f(p)=(40-p^2)^{\frac{1}{2}}\\f'(p)=\frac{1}{2}(40-p^2)^{\frac{1}{2}-1}*(-2p)\\f'(p)=\frac{1}{2}(40-p^2)^{-\frac{1}{2}}*(-2p)\\f'(p)=-\frac{p}{\sqrt{40-p^2}}

Now, the E(p):

E(p)=-\frac{pf'(p)}{f(p)}\\E(p)=-\frac{p*(-\frac{p}{\sqrt{40-p^2}})}{\sqrt{40-p^2}}\\E(p)=\frac{p^2}{40-p^2}

We find E(3) by substituting 3 into "p":

E(p)=\frac{p^2}{40-p^2}\\E(3)=\frac{3^2}{40-3^2}\\E(3)=\frac{9}{31}\\E(3)=0.29

2.

When E(p) = 1, it means the price elasticity of demand is "1". It is the called Unitary Elastic Demand. It means that for every unit change in price, there is the same unit change in demand. The changes of demand and price are proportional to each other.

7 0
3 years ago
Rewrite the following expression with rational exponents. 3 sq root -27x^2 y^7<br> Show your work
andrew-mc [135]

Answer:

Step-by-step explanation:

The square root is possible only if y≤0

if y>0 the expression lose meaning, in fact (-)(+)(+) = (-) and a square root of a negative number doesn’t exist. x^2 is a square so it is ever positive if x is not 0

if y≤0 can be rewritten as:

3(-27x^2y^7)^1/2

or if we want simplify the expression:

3 \sqrt{3^2 * (-3) * x^2 * y^6 * y} = 3^2|x||y|^3 (-3y) ^1/2

we have to put the symbol of absolute value between x and y because a x^2 and y^6 are numbers that are ever positive, while x and y^3 can be also negative. Thanks to the simbol of absolute value we can “force” them to be positive

7 0
3 years ago
Write the equation of the line in slope intercept form slope =-9 through (-5,5)
Furkat [3]

Answer:

y = 9x - 40

Step-by-step explanation:

Using the point-slope equation of a straight line is the fastest approach here, since we already have the slope and a point:

y - k = m(x - h) becomes y - 5 = -9(x + 5)

Solving for y, this becomes y = 9x + 5 - 45, or y = 9x - 40

4 0
4 years ago
In triangle ABC, a = 7, b = 3, and cos C=. The value of c is
mihalych1998 [28]

Answer: 7.615

Step-by-step explanation:

6 0
4 years ago
A diver begins at 150 feet below sea level, descends at a steady rate of 5 feet per minute for 3.5 minutes, and then ascends 122
marusya05 [52]
Start at -150, then add 3(-5), then add 122.2. -150 + 3(-5) + 122.2 = -45.3
3 0
4 years ago
Read 2 more answers
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