Answer:
$2400 in A rated bond and $3000 in B rated bond.
Step-by-step explanation:
We have been given that Maria has recently retired and requested an extra $444.00 per year in income.
We can represent this information in an equation as:

She has $5400 to invest in an A-rated bond that pays 10% per annum or a B-rated bond paying 6% per annum.

From equation (1), we will get:

Substitute this value in equation (2):







Therefore, Maria should invest $2400 in A-rated bond.
Substitute
in equation (1):



Therefore, Maria should invest $3000 in B-rated bond.
0.475 liters per minute. You need to set up a proportion.
3.705L X
----------- --------
7.8 Min 1Min
Then you cross multiply(3.705*1) and divide(3.705/7.8) and you get your X.
√384 = <span>√2x2x2x2x2x2x3x2
= 8</span><span>√6
Hope this helps!</span>
Answer:
y =
x²
Step-by-step explanation:
Given that y and x² are directly proportional then the equation relating them is
y = kx² ← k is the constant of proportion
When x = 2
y = k × 2² = 4k
When x = 5
y = k × 5² = 25k
Then
25k - 4k = 20 ( difference between values is 20 )
21k = 20 ( divide both sides by 21 )
k = 
y =
x² ← equation of proportion
Yes, 3/4 is bigger than 3/5.
One way you can verify this is by drawing a bar model, and cut it into four. Color in three pieces.
Then, draw another bar model the same size as the first one, and cut it into five pieces.
Color in three pieces.
You can see that 3/4 has more shaded in area than 3/5.
Another way you can do this is by dividing the numerator by the denominator for both fractions.
Hope this helped.