Question

How many years will it take an investment of 25,000php to double in the value if interest is
compounded quarterly at the rate of 10%? (note that logarithmic function is an inverse of exponential
function)​

Answer 1

Answer:

$\sf{ \blue{ \underline{ \underline{correct \: question \: : }}}}$

How many years will it take an investment of 25,000php to double in the value if interest is

compounded quarterly at the rate of 10%?

$\sf{ \red{ \underline{ \underline{note \ \: : }}}}$

$\sf{s.i \: = \: \frac{prt}{100} }$

$\sf{s.i \ \: : simple \: intrest}$

$\sf p\ \: : principle$

$\sf{r \ \: : rate \: of \: intrest}$

$\sf{t \ \: : time}$

$\sf{ \red{ \underline{ \underline{let \: us \: solve \ \: : }}}}$

$\huge\sf{ \blue{ \underline{ \underline{given}}}}$

$\sf{p = 25000}$

$\sf{r = 10}$

$\sf{t = ?}$

$\sf{ \frac{25000 \times 10 \times t}{100} = 2 \times 25000}$

$\sf{250 \times 10 \times t = 50000}$

$\sf{2500 \times t = 50000}$

$\sf{t \: = \: \frac{50000}{2500} }$

$\bold \blue{t = 20 \: years}$