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
.
Answer:
The blank exponent is 3
Step-by-step explanation:
It is given that n^x=1/64 where n=1/4
1/4^x=1/64
1/4*1/4*1/4=1/64, so x=3 works as a solution. You could use logarithms, but it makes things more difficult, especially in this case.
Answer:
The 3rd option
Step-by-step explanation:
If we find X then this would become a Mult. problem
The answer is a. (more words so i can add the answer
Above the core is Earth's mantle, which is made up of rock containing silicon<span>, </span>iron,magnesium<span>, </span>aluminum<span>, oxygen and other minerals. The rocky surface layer of Earth, called the </span>crust<span>, is made up of mostly oxygen, </span>silicon<span>, </span>aluminum<span>, </span>iron<span>, </span>calcium<span>, sodium, potassium and </span>magnesium<span>.</span>