Closure property: If a and b are real numbers, a+b is also a real number.
- Associative property: a+(b+c) = (a+b)+c.
- Commutative property: a+b = b+a.
- Additive identity: a+0 = a.
- Additive inverse: a + (-a) = 0.
For Multiplication -
Answer:
Cornor has $14.17 initially
Step-by-step explanation:
The complete question is as follows
Connor has five times as much money as Jayden. Connor gives some money to Jayden. They now have £8.520each. How much did Connor have at the start?
solution
In this question, we are concerned with knowing how much that both had initially.
Let the amount of money Jayden has be £x . Since Cornor has Five times this, he has £5x
Let the amount of money Cornor gave Jayden be £y.
This means ;
5x - y = 8.50 .....(
(i)and also x + y = 8.50 ......(ii)
It is this equations we solve simultaneously
From i, we can say let y= 5x - 8.50, and we insert this into equation ii
x + 5x - 8.50 = 8.50
6x = 17
x = 17/6
x = $2.83
y = 5x - 8.50
y = 5(2.83) - 8.50
y = $5.67
The amount of money Cornor has at first is 5x = 5(17/6)
5x = $14.17
9514 1404 393
Answer:
- 2% growth per year
- 25,000 to start
- 12 years
- 31,706 currently
Step-by-step explanation:
The base of the exponent is (1 +0.02). The value 0.02 = 2% is the growth rate. It is positive, signifying a 2% rate of growth per year. (Negative values would mean decay.)
The number 25000 that multiplies the exponential term is the value of the expression when the exponent is zero. It represents the starting population.
The exponent is said to be in years, so the time is 12 years.
The current population is the value of the expression:
25,000(1.02^12) ≈ 31,706 . . . . current population
Answer:
Last option: increasing: -2 < x < 0 and x> 3/2;
decreasing: x < -2 and 0 < x < 3/2
Step-by-step explanation:
The function given is an absolute cubic function. (Pictured below).
We can determine from the graph that the equation increases over the interval:
increasing: -2 < x < 0 and x> 3/2;
decreasing: x < -2 and 0 < x < 3/2
Answer:
Step-by-step explanation:
<h3>Part A</h3>
- The base is a rectangle hence the parallel cut produces the same shape.
<h3>Part B</h3>
- The cut diagonal to base will produce rectangle as the cross section still contains two pairs of parallel lines