Answer:the answer is 0.14
Step-by-step explanation:
Because if you do 106 divided by 785 you get 0.1350 and you round
Answer:
Discrete
Step-by-step explanation:
Since interest is not added all the time but only a set number of times a year both loans would be best modeled by a discrete relationship.
Answer:
Radius r = ±√52
Coordinates of center =
Step-by-step explanation:
Points to remember
Equation of a circle passing through the point (x1, y1) and radius r is given by
(x - x1)² + (y - y1)² = r ²
<u>To find the radius and coordinates of center</u>
It is given that an equation of circle,
(x - 4)² + (y + 6)² = 52
Compare two equations,
we get r ² = 52
r = ±√52
(x - x1)² = (x - 4)² then x1 = 4
(y - y1)² = (y + 6)² then y1 = -6
Coordinates of center = (4, -6)
H=-16x to the second power +136
Answer:
a. closed under addition and multiplication
b. not closed under addition but closed under multiplication.
c. not closed under addition and multiplication
d. closed under addition and multiplication
e. not closed under addition but closed under multiplication
Step-by-step explanation:
a.
Let A be a set of all integers divisible by 5.
Let
∈A such that 
Find 

So,
is divisible by 5.

So,
is divisible by 5.
Therefore, A is closed under addition and multiplication.
b.
Let A = { 2n +1 | n ∈ Z}
Let
∈A such that
where m, n ∈ Z.
Find 

So,
∉ A

So,
∈ A
Therefore, A is not closed under addition but A is closed under multiplication.
c.

Let
but
∉A
Also,
∉A
Therefore, A is not closed under addition and multiplication.
d.
Let A = { 17n: n∈Z}
Let
∈ A such that 
Find x + y and xy


So,
∈ A
Therefore, A is closed under addition and multiplication.
e.
Let A be the set of nonzero real numbers.
Let
∈ A such that 
Find x + y

So,
∈ A
Also, if x and y are two nonzero real numbers then xy is also a non-zero real number.
Therefore, A is not closed under addition but A is closed under multiplication.