The interest earned in 5 years would be $270
<u>Explanation:</u>
Given:
Principal, P = $1800
Rate of interest, r = 3%
Time, t = 5 years
Simple interest, I = ?
We know,
![I = \frac{p X r X t}{100}](https://tex.z-dn.net/?f=I%20%3D%20%5Cfrac%7Bp%20X%20r%20X%20t%7D%7B100%7D)
On substituting the value we get
![I = \frac{1800 X 3 X 5}{100} \\\\I = 270](https://tex.z-dn.net/?f=I%20%3D%20%5Cfrac%7B1800%20X%203%20X%205%7D%7B100%7D%20%5C%5C%5C%5CI%20%3D%20270)
Therefore, interest earned in 5 years would be $270
Step-by-step explanation:
i = interest 3% for 30 years
This is a simple dynamical system for whom the the solutions are given as
![S=R[\frac{(i+1)^n-1}{i}](i+1)](https://tex.z-dn.net/?f=S%3DR%5B%5Cfrac%7B%28i%2B1%29%5En-1%7D%7Bi%7D%5D%28i%2B1%29)
putting values we get
S=2000[\frac{(1.03)^{30}-1}{0.03}](1.03)
= $98005.35
withdrawal of money takes place from one year after last payment
To determine the result we use the present value formula of an annuity date
![P = R\frac{1-(1+i)^{-n}}{i}{i+1}](https://tex.z-dn.net/?f=P%20%3D%20R%5Cfrac%7B1-%281%2Bi%29%5E%7B-n%7D%7D%7Bi%7D%7Bi%2B1%7D)
we need to calculate R so putting the values and solving for R we get
R= $6542.2356
<span>3.60555128 is the awnser</span>
The amount spent as a percentage of the budget can be found from
... (actual amount)/(total budget) × 100%
... = (actual amount)/3600×100%
... = ((actual amount)/36)%
For housing, this is
... (820/36)% = 22.78% . . . . less than budget for housing
For transportation, this is
... (370/36)% = 10.28% . . . . more than budget for transportation