Answer:
- bonds: $18,000
- stocks: $6,000
Step-by-step explanation:
You have a total of $24,000 invested in stocks and bonds in the ratio 1 : 3. You want to know the amount invested in each category.
<h3>Ratio</h3>
Recognizing that the total number of ratio units is 1+3 = 4, and that total represents $24,000, we see that each ratio unit represents $24,000/4 = $6,000.
Multiplying the ratio by $6,000, we see the investment amounts are ...
stocks : bonds = 1 : 3 = $6,000 : $18,000
$6,000 is invested in stocks; $18,000 is invested in bonds.
Answer:
it's 3/50
Step-by-step explanation:
A) I would make the positive integer x and then form an equation.
x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6
Since the question asks for a positive integer the answer is 7.
B) two positive numbers x and y.
X - y = 3
x^2 + y^2 = 117
Use these simultaneous equations to figure out each number.
Rearrange the first equation
x = y + 3
Then substitute it into the second equation.
(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)
This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.
Use y to find x
x = y + 3
x = 6 + 3
x = 9
So the answers are x = 9 and y = 6.
Liters can probably be the unit to measure the capacity of a hand sanitizer bottle
A correlation coefficient is always a value in between -1 and 1
The closest a coefficient to -1, the correlation is a strong negative correlation
The closest a coefficient to 1, the correlation is a strong positive correlation
The closest a coefficient to 0, there is no correlation at all
The coefficient -0.61 shows a strong negative correlation
This means that the relationship between the age and the violation is an inverse relationship; as age increases, violation decreases
Answer: option C
