Let 11x + 15y + 23 = 0 be equation (1)
And 7x - 2y - 20 = 0 be equation (2)
Multiply equation (1) by 2:
22x + 30y + 46 = 0
Multiply equation (2) by 15:
105x - 30y - 300 = 0
Add equations (1) and (2):
22x + 105x + 30y - 30y + 46 - 300 = 0
127x - 254 = 0
127x = 254
x = 254/127
[x = 2]
Substitute x = 2 in equation (1) to find y:
11(2) + 15y + 23 = 0
22 + 15y + 23 = 0
15y + 45 = 0
15y = -45
y = -45/15
y = -3
Therefore, x = 2 and y = -3.
Answer:
20 years
Step-by-step explanation:
We start by writing an exponential equation;
FV = PV( 1 + r)^t
FV is the future value = 1,000,000
PV is present value = 372,000
r is rate = 5% = 5/100 = 0.05
t is time which we are looking for
1,000,000 = 372,000(1 + 0.05)^t
1.05^t = 1,000,000/372,000
1.05^t = 2.688
t ln 1.05 = ln 2.688
t = ln 2.688/ln 1.05
t = 20 years
