Answer:
650396.82$ must be deposited to make the annuity payment of 50000 for 20 years.
Step-by-step explanation:
Given Periodic payments, PMT=50,000$ every year for 20 years.
And deposited amount is compounded annually with 4.5% interest rate.
And interest rate,
, where m= number of payments in a year=1 here.
And time period, n=20
The amount deposited is nothing but present value.
Hence PV=![PMT\frac{1-(1+i)^{-n}}{i}](https://tex.z-dn.net/?f=PMT%5Cfrac%7B1-%281%2Bi%29%5E%7B-n%7D%7D%7Bi%7D)
=![50000\frac{1-(1+0.045)^{-20}}{0.045}](https://tex.z-dn.net/?f=50000%5Cfrac%7B1-%281%2B0.045%29%5E%7B-20%7D%7D%7B0.045%7D)
=$650396.823≈$650396.82
For number 5 - .3 ( 3.60 ÷ 12 = .3)
For number 6 - .32 ( 2.56 ÷ 8 = .32)
For number 7 - 2 ( 2.36 ÷ 2 = 1.18)
6n + 9 = -3n <u>-21 -6</u>
<u>6n</u> + 9 = <u>-3n</u> -27
+3n +3n
9n <u>+9</u> = <u>-27</u>
-9 -9
<u>9n</u> = <u>-36</u>
<u>Divide by 9 on both sides</u>
n = -4
Answer:
It is rational
Step-by-step explanation:
A rational number repeats and can be terminated.
This number is a repeating decimal, and can be terminated.
100,000 if im correct but do some research