We are told that the insurance payment for the car follows a certain pattern that can be represented through an expression. The payment is decreasing by $20 every year. As we don't know the total payment amount per period, so we cannot calculate how much is paid per period/year for insurance but we can calculate the rate at which this payment is decreasing.

Change in payment = t * (-20)

The above expressions can be used to calculate the amount of change in payment i payment is decreasing by a constant $20 every year, after t years.

So, if we want to calculate the change in payment after say 5 years, we can replace t with 5 in the equation and calculate the change,

Change in payment = 5 * (-20)

Change in payment = - $100

4 0

3 years ago

Translate the given statement into propositional logic using proposition provided :

olya-2409 [2.1K]

Answer: m ⇒ e ∨ p

Step-by-step explanation:

First look at the statement and locate the connectives ( these are words which connect sentences such as: and, or, implies, is equivalent and not.) Each of these connectives have a symbol/ variable.

In this case the connectives are "only if" and "or" these are important because we will not attach propositional variables to them, where:

⇒ = " only if"

∨ = "or"

Convert the phrases into variables where:

m = " You can see the movie"

e = "You are over 18 years old"

p = " you have the permission of a parent"

Construct the statement sequentially.

You can see the movie (m) only if (⇒) you are over 18 years old (e) or (∨) you have the permission of a parent (p)

Remove the phrases and you'll have your answer:

m ⇒ e ∨ p

6 0

2 years ago

Please help me thank you

S_A_V [24]

Question 1:

We have a 45-45-90 right triangle with the hypotenuse being the length from one corner to the opposite corner.

Multiply 30 ft with the square root of 2 and use a calculator to help give you numerical value to get your answer.

$30 \sqrt{2} \approx 42$

Your answer is the second choice.

Question 2:

The equilateral triangle can be divided into 2 30-60-90 triangles with the longer leg being the altitude. To get half of the side length of the right triangle, divide the altitude by the square root of 3.

$\dfrac{15}{ \sqrt{3} }=\dfrac{15 \sqrt{3} }{3}=5 \sqrt{3}$

The full side length is double of that, which is $10 \sqrt {3}$ .

Multiply that by 3 to get the full perimeter.
$10 \sqrt{3}*3=30 \sqrt{3}$

Your answer is the third choice. Hope this helps! :)

5 0

3 years ago

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