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3 years ago

12

A realtor is paid a base salary of 20,000 a year plus 10% commission on all property sales. What are the sales needed to ensure

an annual income greater than 50,000?

1 answer:

Daniel [21]3 years ago

7 0

She needs at least 30,000 to make an annual income of at least 50,000.. 10% of 300000 is 30,000 which will ensure her 50,000.. answer is 300,000

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Use logical equivalences (not a truth table) to reduce p → (q − p) to a tautology t. In other words, you should transform p → (q

schepotkina [342]

Answer:

The statement $p\rightarrow (q\rightarrow p)$ is a tautology.

$p\rightarrow (q\rightarrow p)\equiv \lnot p\lor (q\rightarrow p) \equiv \lnot p\lor (\lnot q\lor p) \equiv (p\lor \lnot p) \lor \lnot q \equiv T \lor \lnot q \equiv T$

Step-by-step explanation:

We have the following statement:

$p\rightarrow (q\rightarrow p)$

To reduce the statement to a tautology we need to use the table of logical equivalences as follows:

$p\rightarrow (q\rightarrow p)\equiv$

$\equiv \lnot p\lor (q\rightarrow p)$ by the the logical equivalence involving conditional statement.

$\equiv \lnot p\lor (\lnot q\lor p)$ by the the logical equivalence involving conditional statement.

$\equiv (p\lor \lnot p) \lor \lnot q$ by the Associative law.

$\equiv T \lor \lnot q$ by the Negation law.

$\equiv T$ by the Domination law.

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3 years ago

A scientist measures the angle x and the distance y between the Earth and the Sun. Using complete sentences, explain how the sci

yanalaym [24]

Answer:

The scientist can use only the angle x and the distance y to calculate the distance between the Earth and the Sun using the cosine function.Step-by-step explanation:

The cosine of an angle is equal to the ratio of the length of the adjacent side and the length of the hypotenuse. In equation form:

cos x = BC / y

Solving for BC

BC = y cos x

BC is the distance between the Earth and the sun

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3 years ago

Which of the following equations correctly shows the relationship between the values of x and the values of y?

Firdavs [7]

Every time the x goes up 1 the y goes up by 3

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3 years ago

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WILL GIVE BRAINEST <br>if f(x)=2x-5 and g(x)=x2.....

Ymorist [56]

Note that the notation $(f+g)(x)$ is just another way of writing $f(x)+g(x)$ . Here, we're simply taking the expression for f(x) and adding the expression for g(x) to it. Together, we have:

$f(x)=2x-5\\g(x)=x^2-4x-8$

Which means that

$(f+g)(x)=f(x)+g(x)=(2x-5)+(x^2-4x-8)$

And from there, it's just a matter of combining like terms to simplify.

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3 years ago

What is the value of k in the equation k\3 -5=34

Alex

If wrong i apologize but for that equation i got the answer K=117

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4 years ago

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