What shaded region? Was there supposed to be a pic?
Answer:
10.55 years
Step-by-step explanation:
In order to calculate the number of years, you have to isolate N from the formula:
FV=PV*(1+I)^N
FV= Future value
PV= Present value
i= Interest rate
N= number of periods
FV/PV=(1+i)^N
ln(FV/PV)=Nln(1+i)
N=ln(FV/PV)/ln(1+i)
Now you have to replace the formula to find the answer:
FV= 1486.73
PV= 1077
i= 3.1%
N= ln(1486.73/1077)/ln(1+0.031)
N= ln(1.38)/ln(1.031)
N= 10.55
The answer is that it will take 10.55 years for the balance to reach $1486.73.
Answer:
<em>Solution: x= -36, y=51</em>
Step-by-step explanation:
Solve the system:
x + y = 15
-5x - 3y = 27
By using the reduction method.
Multiply the first equation by 3:
3x + 3y = 45
Add it to the second equation:
3x - 5x = 45 + 27
Simplifying:
-2x = 72
Dividing by -2:
x = 72/(-2)
x = -36
From the first equation:
-36 + y = 15
Adding 36:
y = 15 + 36 = 51
y = 51
Solution: x= -36, y=51
