Answer:
Future Balance
$1,044
Step-by-step explanation:
Compound interest is simple- It’s the interest you earn on both your original deposit and on the interest that your money earns. Compound interest allows your savings to grow faster over time. In an account that pays interest, the earnings are typically added to the original principal at the end of every compounding period. That's often daily or monthly. Each time interest is calculated and added to the account, the larger balance results in more interest earned than before. This is what’s meant by compound interest. Note that high-interest savings accounts earn money faster than accounts with lower yields.
Ok, so first you solve whatever is in the parentheses.
(28 • 5-5 • 190)-2•228
28• 5 = 140
Then 5 •190 = 950
Then multiply 950 • 140 = 133,000
Then it should look like this:
133,000-2•228
Multiply 2 • 228 = 456
Then subtract 456 from 133,000.
The answer should come out to 132,544.
This breaks down into a system of equations. George will equal G, Sam will equal S and Alex will equal A. G=S+2 S=A+3 G+S+A=35 since S=A+3, we can substitute S for (A+3). If we plug that into the G=S+2, we get G=(A+3)+2. This simplifies to G=A+5.
our ultimate goal is to be able to substitute for two of their ages so we can solve the last equation for one age or variable. It would be easiest to solve for A.
so far we can substitute for two variables, S=A+3. and G=A+5
Next, we can plug this into the last equation and get 35=(A+3)+(A+5)+A
if we add like terms we get 35=3A+8. Next, we solve the equation by first subtracting 8 from each side. we then get 27=3A, then we divide each side by 3 to solve for A and get A=9.
Now we have one age, we need to find the other two. We can solve this by plugging A to the other two equations. if we do that we get S=(9)+3, or S=12. If we do it to the other equation we get G=(9)+5, or G=14
So your final answer would be George is 14, Sam is 12, and Alex is 9.
