9514 1404 393
Answer:
- annually: 9.01 years
- monthly: 8.69 years
- daily: 8.67 years
- continuously: 8.66 years
Step-by-step explanation:
For interest compounded in discrete intervals, the formula is ...
A = P(1 +r/n)^(nt)
We want to find t for P=1 and A=2, so we have ...
2 = (1 +r/n)^(nt)
ln(2) = nt·ln(1+r/n)
t = ln(2)/(n·ln(1+r/n))
A table of values for r=0.08 is attached.
__
For continuous compounding, the formula is ...
A = Pe^(rt)
t = ln(A/P)/r = ln(2)/0.08 ≈ 8.66434 . . . . years
__
- annually: 9.01 years
- monthly: 8.69 years
- daily: 8.67 years
- continuously: 8.66 years
Answer:
r(x)=0.0875(1.99430199)^x
Step-by-step explanation:
When x=0, y is going to equal the y-intercept, so when x=0 y(or in this case r(x)) =0.0875, so that's going to be your A
a-0.0875
To find the rate, divide a lower number by a higher one to find the rate: 0.175/0.0875=1.99430199
1.99430199 is the constant rate.
r(x)=a(b)^x this is the formula
substitute:
r(x)=0.0875(1.99430199)^x
A. 2x^2+5x-12 = (2 x - 3) (x + 4), factorable
B. 9x^2 + 4 not factorable
C. 5x^2 +5x + 1 not factorable
D. 3x^3 + 6x^2 = 3x^2(x + 2), factorable
Answer: B and C