The total for the meal was $21.25
The total overall was $25.5
1. $21.25
2. $25.5
Answer:
After
the principle amount value will reach to
.
Step-by-step explanation:
Given that,
Principle Amount ![(P)= 7100\ dollars](https://tex.z-dn.net/?f=%28P%29%3D%207100%5C%20dollars)
Rate of Interest
%
Total Amount ![(A)= 26400\ dollars](https://tex.z-dn.net/?f=%28A%29%3D%2026400%5C%20dollars)
If Principle Amount
, Time
, Rate of Interest
% ![pa](https://tex.z-dn.net/?f=pa)
when interest is compounded annually:
Total Amount after
![= P(1+\frac{R}{100}) ^{t}](https://tex.z-dn.net/?f=%3D%20P%281%2B%5Cfrac%7BR%7D%7B100%7D%29%20%5E%7Bt%7D)
Now,
![A= P(1+\frac{R}{100}) ^{t}](https://tex.z-dn.net/?f=A%3D%20P%281%2B%5Cfrac%7BR%7D%7B100%7D%29%20%5E%7Bt%7D)
⇒ ![26400=7100(1+\frac{5}{100}) ^{t}](https://tex.z-dn.net/?f=26400%3D7100%281%2B%5Cfrac%7B5%7D%7B100%7D%29%20%5E%7Bt%7D)
⇒ ![3.7183=(1+0.05)^{t}](https://tex.z-dn.net/?f=3.7183%3D%281%2B0.05%29%5E%7Bt%7D)
⇒ ![3.7183=(1.05)^{t}](https://tex.z-dn.net/?f=3.7183%3D%281.05%29%5E%7Bt%7D)
taking log both sides, we get
![ln(3.7183)=ln {(1.05)^{t}}](https://tex.z-dn.net/?f=ln%283.7183%29%3Dln%20%7B%281.05%29%5E%7Bt%7D%7D)
⇒ ![1.31327=t\times ln(1.05)](https://tex.z-dn.net/?f=1.31327%3Dt%5Ctimes%20ln%281.05%29)
⇒ ![1.31327=t\times 0.04879](https://tex.z-dn.net/?f=1.31327%3Dt%5Ctimes%200.04879)
⇒ ![t=26.91](https://tex.z-dn.net/?f=t%3D26.91)
Therefore,
After
the principle amount value will reach to
.
1 Gallon each wall, so 4 gallons of paint in total.