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
The Factor Theorem says (x - a) is a factor of function p(x) if p(a)=0
so check for p(-2)
= -2^4 +3(-2)^3 + 4(-2)^2 - 8
= 16 - 24 +16 -8
= 0
so (x + 2) is a factor
Answer:
She can expect it to happen 4/36 times or 1/9
Step-by-step explanation:
If the two lengths of the triangle are 2x+6 and x-1
(2x+5)+(x-1)=3x+4
(10x+2)-(3x+4)= 7x-2
