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ELEN [110]
3 years ago
6

18. A new truck costs $32,000. The car’s value will depreciate over time, which means it will lose value. For tax purposes, depr

eciation is usually calculated linearly. If the truck is worth $24,500 after three years, write an explicit formula for the value of the car after n years.
Mathematics
1 answer:
Vlad [161]3 years ago
8 0
The answer is 2,500

32,000 - 24,500 /3
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Which of the following statements is false?
kramer

Option D

The sum of two irrational numbers is always rational is false statement

<em><u>Solution:</u></em>

<h3><u>The sum of two rational numbers is always rational</u></h3>

"The sum of two rational numbers is rational."

So, adding two rationals is the same as adding two such fractions, which will result in another fraction of this same form since integers are closed under addition and multiplication. Thus, adding two rational numbers produces another rational number.

For example:

\frac{1}{4} + \frac{1}{5} = \frac{9}{20}

rational number + rational number = rational number

Hence this statement is true

<h3><u>The product of a non zero rational number and an irrational number is always irrational</u></h3>

If you multiply any irrational number by the rational number zero, the result will be zero, which is rational.

Any other situation, however, of a rational times an irrational will be irrational.

A better statement would be: "The product of a non-zero rational number and an irrational number is irrational."

So this statement is correct

<h3><u>The product of two rational numbers is always rational</u></h3>

The product of two rational numbers is always rational.

A number is said to be a rational number if it is of the form p/q,where p and q are integers and q ≠ 0

Any integer is a rational number because it can be written in p/q form.

Hence it is clear that product of two rational numbers is always rational.

So this statement is correct

<h3><u>The sum of two irrational numbers is always rational</u></h3>

"The sum of two irrational numbers is SOMETIMES irrational."

The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational.

Thus this statement is false

5 0
3 years ago
1.) Max is driving 42 miles per hour. A dog dog runs into the street and max reacts in about three quarters of a second. What is
Nostrana [21]

Answer: 14.07\ m

Step-by-step explanation:

Given

Max is driving at a speed of 42\ mph

It took him three-quarters of a second i.e. 0.75\ s

Speed in meter per second is 18.77\ m/s

Distance is given by

d=v\times t

Reaction distance is

d=18.77\times 0.75=14.07\ m

5 0
3 years ago
Find the additive inverse of 7/10
11111nata11111 [884]

\huge\fbox{Hi~there!}

Remember, a number's additive inverse is simply its opposite.

Let's say we have a number a.

The opposite of a is -a, and the opposite of -a is a.

Thus, the additive inverse of

\displaystyle\frac{7}{10} is

\displaystyle-\frac{7}{10}

Hope it helps.

~Just a felicitous girl

#HaveAnAmazingDay

Feel free to ask if you have any doubts.

\bf{-MistySparkles^**^*

5 0
2 years ago
Will give brainliest no files plz
MAVERICK [17]

Answer:

d

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
What are all of the real roots of the following polynomial? f(x) x^4-24x^2-25
Greeley [361]

<u>Answer:</u>

x = ±5

<u>Step-by-step explanation:</u>

We are given the following polynomial function and we are to find all of its real roots:

x^4-24x^2-25

Let y=x^2 so we can now write it as:

y^2-24y-25

Factorizing it to get:

(y^2+y)+(-25y-25)

y\left(y+1\right)-25\left(y+1\right)

\left ( y + 1 \right ) \left ( y - 2 5 \right)

Substitute back y=x^2 to get:

\left ( x^2 + 1 \right ) \left ( x^2 - 25 \right )

\left ( x^2 + 1 \right ) \left ( x + 5 \right ) \left ( x - 5 \right )

The quadratic factor has only complex roots. Therefore, the real roots are x = ±5.

3 0
3 years ago
Read 2 more answers
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