Answer:
interest: 945, FV: 6345
FV= 323711.4, Interest: 226211.4
25.21 years
Explanation:
question 1:
simple interest formula
PV(1+it)
30 months is equal to 30/12 years or 2.5 (so t= 2.5)
5400(1+.07*2.5)= 6345
This is the future value, to find the interst subtract the present value
6345-5400= 945
2.)
future value of continously compounding interst:
PV(e^(it))
97500*e^(.06*20)= 323711.4
finding the interest is the same as the last one
323711.4-97500=226211.4
3.)
same formula
let x= time in years
![30000=7500e^(.055x)\\4=e^(.055x)\\\ln(4)=.055x\\x=25.20535202](https://img.qammunity.org/2022/formulas/mathematics/college/4k8hl0ddxiojid5jhfed06y0tj9sldubfr.png)
i guess we can round this to 25.21