Briana invested $12,500 into a fund that is expected to grow by 5.25% per year.

how long with it take the fund to be worth $25,000? round to the nearest year.
a) 2 years
b) 12 years
c) 14 years
d) 10 years

Option C - 14 years                                                  

Step-by-step explanation:

Given : Amount invested = $12,500 , growth rate = 5.25% , Amount fund = $25,000

Using formula :

Where,

P = principal amount = 12,500

r = annual rate of interest = 5.25%= 5.25/100=0.0525

t = number of years the amount is deposited or borrowed for, in this case we don't know it

A = amount of money accumulated = $25,000

Putting values in the formula we get,

Taking log both side,

By property of logarithm

Approx t=14 years

Therefore, Option C is correct.

26

step-by-step explanation:

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square