Answer:
It will take 5.29 years to double our money if we invest $500 at 14 percent interest.
Step-by-step explanation:
Let we invest $500 with the interest rate of 14% ,
Now we will find the time it is going to take to double the money
here, we use the formula of compound interest
![A= P( 1+(r)/(n)) ^(nt)](https://img.qammunity.org/2021/formulas/mathematics/high-school/1bhptcej4cg7eimcjaatrkxjyb23k6ex6s.png)
Here, A = the amount yielded,
P = principal,
r = interest rate ,
n = number of times per year,
and t = time invested.
Now, put A= 1000 , P= 500 , R= 0.14 T= x and N= 1
![1000=500(1.14)^x](https://img.qammunity.org/2021/formulas/mathematics/high-school/1smzypi5migmlirfl36dz0dyktwj38crxx.png)
![2=1.14^x](https://img.qammunity.org/2021/formulas/mathematics/high-school/kmooiqpwzobph4o87egvx4igz4ejq9vlgc.png)
![\log_(1.14) (2)=x](https://img.qammunity.org/2021/formulas/mathematics/high-school/sa9imodqnwo7as1wt6jv7dp48oyr1rlsif.png)
![x=5.29](https://img.qammunity.org/2021/formulas/mathematics/high-school/cb07ivdvybttvwcakwengr5l3gjwktm5e8.png)
so , It will take 5.29 years to double our money if we invest $500 at 14 percent interest.
Hence , the answer is 5.29 years .