The account balance would be $9,293.12 or 11 cents.
Step-by-step explanation:
5x 3 1/2 = 3 x 5 1/2 is false
This is a system of equations. We solve it by setting it up so that when we add the two equations together, one of the variables will cancel out. We can do this by multiplying the bottom equation by 3. This will make our system of equations equal:
3a + b + 225
-3a + 3b = 75
Now we add these two equations together, because the a terms will cancel out.
4b = 300.
We can find what b is by dividing both sides by 4.
b = 75
Next, we plug in b in one of the equations and solve for a. You can use either equation, but I will use the second.
75 - a = 25
Subtract 25 from both sides and add a to both sides:
a = 50
So, the first option is correct. A = 50 and b = 75.
Answer:
$12,958
Step-by-step explanation:
The total amount of the account, principal plus interest, is given by ...
A = P(1 +rt)
The given information tells us ...
12,122 = P(1 + .08×2) = 1.16P
Then the principal amount is ...
12,122/1.16 = 10,450
__
When that same amount is invested using a different rate and time period, it becomes ...
A = 10,450(1 + .09×(2 2/3)) = 10,450×1.24 = 12,958
It will amount to $12,958 in 2 years 8 months at 9%.
