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3 years ago

15

Tessa bought stock in a restaurant for $142.00. Her stock is now worth $213.00. What is the percentage increase of the value of

Tessa's stock?

1 answer:

VMariaS [17]3 years ago

6 0

Answer:

50% is the increase

Step-by-step explanation:

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Rewrite the statement in mathematical notation. (Let y be the distance from the top of the ladder to the floor, x be the distanc

In-s [12.5K]

Answer:

$\frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}$

Step-by-step explanation:

Let L be the length of the ladder,

Given,

x = the distance from the base of the ladder to the wall, and t be time.

y = distance from the base of the ladder to the wall,

So, by the Pythagoras theorem,

$L^2 = y^2 + x^2$

$\implies L = \sqrt{y^2 + x^2}$ ,

Differentiating with respect to time (t),

$\frac{dL}{dt}=\frac{d}{dt}(\sqrt{x^2 + y^2})$

$=\frac{1}{2\sqrt{x^2 + y^2}}\frac{d}{dt}(x^2 + y^2)$

$=\frac{1}{2\sqrt{x^2 + y^2}}(2x\frac{dx}{dt}+2y\frac{dy}{dt})$

$=\frac{1}{\sqrt{x^2 +y^2}}(x\frac{dx}{dt}+y\frac{dy}{dt})$

Here,

$\frac{dy}{dt}=-6\text{ ft per sec}$

Also, $\frac{dL}{dt} = 0$ ( Ladder length = constant ),

$\implies \frac{1}{\sqrt{x^2 +y^2}}(x(-6)+y\frac{dy}{dt})=0$

$-6x + y\frac{dy}{dt}=0$

$y\frac{dy}{dt}=6x$

$\implies \frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}$

Which is the required notation.

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3 years ago

How can you translate the word phrase into verbal expression eight less than the quotient of x and three

Vladimir [108]

X divided by 3 or X/3 minus 8

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3 years ago

For the statement? below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify wh

snow_tiger [21]

Answer:

Option E - sigma greater than or equal to $327

Step-by-step explanation:

In this question, we are testing whether the standard deviation of the base price of a certain type of all-terrain vehicle is at least $327.

Now, standard deviation is denoted by the symbol sigma(σ). Since the test is saying it should be at least $327, it means it should either be equal to $327 or greater than $327.

Thus, we would use the symbol ≥ which means "greater than or equal to".

Thus, the claim as a mathematical statement would be;

sigma greater than or equal to $327

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3 years ago

Sharnae raised $52 less than lee during a school fundraiser. Lee raised $384. How much did sharnae raised?

neonofarm [45]

Answer:

$352

Step-by-step explanation:

So subtract the amount Lee made from the $52 and you get your answer. i hope i help u

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3 years ago

Bro i need this <br><br> (x − 5)^2 = x^2 − 25

forsale [732]

Answer:

x=5

Step-by-step explanation:

x^2+25-10x = x^2-25

-x^2 -x^2

25-10x = -25

-25 -25

-10x = -50

x=5

lets check

(5-5)^2 = 5^2-25

0^2 = 25-25

0 = 0

7 0

2 years ago

Read 2 more answers