Answer:
There are 150 blue marbles in Alex's bag.
Step-by-step explanation:
Let 
, 
, 
be the quantities of red, blue and yellow marbles, respectively. From statement we derive three rational equations for initial and final ratios:
Initial ratio
(1)
(2)
Final ratio
(3)
After some algebraic handling we get the following system of linear equations:
(1)
(2)
(3)
The solution of the system of linear equations is:
, 
, 
There are 150 blue marbles in Alex's bag.
Answer:
After 10 years
Rick will have $1,480.24
Sally will have $1,500
Step-by-step explanation:
Data provided in the question:
Principle amount = $1,000
Now,
For Rick
Interest rate by bank, r = 4% = 0.04
Time period, n = 10 years
Now,
Final amount after 10 years with Rick using the compounding formula
Final amount = Principle × (1 + r)ⁿ
= $1,000 × (1 + 0.04 )¹⁰
= $1,480.24
For Sally
Amount paid each year = $50
Therefore,
Total amount paid in 10 years = $50 × 10
= $500
Thus,
Final amount Sally will have after 10 years
= $1,000 + Total amount paid in 10 years
= $1,000 + $500
= $1,500
Hence,
After 10 years
Rick will have $1,480.24
Sally will have $1,500
Answer:
The difference is in which in way that they can be separated.
Step-by-step explanation:
While all three of these include mixtures of two or more things, a suspension can typically be re-separated by using a centrifuge and a solution can be filtered out. A colloid on the other hand, cannot typically be separated after it is put together.
