1. 1 and -1 are two such rational numbers whose multiplicative inverse is same as they are.
2. absolute value is resembled using the formula : |x|
Here,


final answer: 3/11
3.



4.
Associative property can only be used with addition and multiplication
Answer:

Step-by-step explanation:
we know that the circumference is equal to

we have

substitute


Answer:
It takes 75 years for the investment to quadruple in value
Step-by-step explanation:
Simple Interest
This is a simple interest problem.
The simple interest formula is given by:

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:

In this question:
4% simple interest per year, so I = 0.04.
Quadruple:
t when T = 4P.
The interest earned is:



Now we find the time.





It takes 75 years for the investment to quadruple in value
Answer:
Yes; Opposite sides are congruent, and diagonals are congruent.
Step-by-step explanation:
we have

we know that
the formula to calculate the distance between two points is equal to
step 1
Find the length of the sides
<u><em>Find the distance AB</em></u>
substitute the values
<u><em>Find the distance BC</em></u>
substitute the values
<u><em>Find the distance CD</em></u>
substitute the values
<u><em>Find the distance AD</em></u>
substitute the values
Compare the length sides
AB=CD
BC=AD
therefore
Opposite sides are congruent
step 2
Find the length of the diagonals
<u><em>Find the distance AC</em></u>
substitute the values

<u><em>Find the distance BD</em></u>
substitute the values

Compare the length of the diagonals
AC=BD
therefore
Diagonals are congruent
The figure is a rectangle, because Opposite sides are congruent, and diagonals are congruent