Using a system of equations, it is found that there are 5 dimes and 9 quarters in his pocket.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
- Variable x: number of dimes in his pocket.
- Variable y: number of quarters in his pocket.
He has a total of 14 coins, hence:
x + y = 14 -> y = 14 - x.
They are worth $2.75, hence, considering the value of each coin(dimes $0.1 and quarters $0.25), we have that:
0.1x + 0.25y = 2.75
Since y = 14 - x:
0.1x + 0.25(14 - x) = 2.75
x = (0.25*14 - 2.75)/0.15.
x = 5.
y = 14 - x = 14 - 5 = 9.
There are 5 dimes and 9 quarters in his pocket.
More can be learned about a system of equations at brainly.com/question/24342899
#SPJ1
His investment will be worth $1,619.69 in 10 years.
Answer:
0.9 can be written as a fraction 
Step-by-step explanation:
0.9 written as a fraction
if we have no denominator at the bottom then we put 1 at the bottom
0.9 can be written as 
Now we need to remove the decimal point
we have 9 after the decimal point. one number after the decimal point.
To remove the decimal point we multiply both top and bottom by 10


0.9 can be written as a fraction 
The quadratic formula is

A = 2
B = -30
C = 108
plug in the values for the equation and you'll get what the factors are
-(-30)+√(-30)²-4(2)(108))/2(2)
and
-(-30)-√(-30)²-4(2)(108))/2(2)
This will give you your A values
and just round the answers from both of the above equations
75 is the answer to this equation