Small (x)
9(x) + 9(x) - 1 = 30
2 x 9(x) - 1 = 30
2 x 9(x) = 30 + 1
2 x 9(x) = 30
simplify
9x = 31/2
x = 1/2 x log (3) (31/2)
or
x ≈ 1.24741
Answer 4
6 goes into 24 4 times and since both the top and bottom are negative the answer is positive
Hello :
<span>f(x)=3x+5/c
</span><span>f(a+2) = (3(a+2)+5)/c = (3a+11)/c</span>
The rule of the payout annuity is
![P=\frac{d(1-(1+\frac{r}{n})^{-nt})}{\frac{r}{n}}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7Bd%281-%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%7B-nt%7D%29%7D%7B%5Cfrac%7Br%7D%7Bn%7D%7D)
P is the initial amount
d is regular withdrawals
r is the annual rate in decimal
n is the number of periods in a year
t is the time
Since you have $500 000 saved, then
P = 500000
Since the interest is 8%, then
r = 8/100 = 0.08
Since the time is 15 years, then
t = 15
Since you want the monthly amount, then
n = 12
Substitute them in the rule to find d
![\begin{gathered} 500000=\frac{d(1-(1+\frac{0.08}{12})^{-12(15)})}{\frac{0.08}{12}} \\ 500000(\frac{0.08}{12})=d(1-(\frac{151}{150})^{-180}) \\ \frac{10000}{3}=d(1-(\frac{151}{150})^{-180}) \\ \frac{\frac{10000}{3}}{(1-(\frac{151}{150})^{-180})}=d \\ 4778.260422=d \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20500000%3D%5Cfrac%7Bd%281-%281%2B%5Cfrac%7B0.08%7D%7B12%7D%29%5E%7B-12%2815%29%7D%29%7D%7B%5Cfrac%7B0.08%7D%7B12%7D%7D%20%5C%5C%20500000%28%5Cfrac%7B0.08%7D%7B12%7D%29%3Dd%281-%28%5Cfrac%7B151%7D%7B150%7D%29%5E%7B-180%7D%29%20%5C%5C%20%5Cfrac%7B10000%7D%7B3%7D%3Dd%281-%28%5Cfrac%7B151%7D%7B150%7D%29%5E%7B-180%7D%29%20%5C%5C%20%5Cfrac%7B%5Cfrac%7B10000%7D%7B3%7D%7D%7B%281-%28%5Cfrac%7B151%7D%7B150%7D%29%5E%7B-180%7D%29%7D%3Dd%20%5C%5C%204778.260422%3Dd%20%5Cend%7Bgathered%7D)
Then you will be able to pull $4778.260422 each month