Asum is invested at 4% continuous interest. this means that its value grows exponentially with k equaling the decimal rate of interest. find, to the nearest tenth of a year, the time required for the investment to double in value.

T = 72/4 = 18years

T = 20years (to the nearest tenth)

Step-by-step explanation:

Using the rule of 72, which is used to estimate the number of years for a given investment to double at a given interest rate.

Doubling time = 72/interest rate

T = 72/r

Rate r (in percentage) = 4%

Time T (in years)

T = 72/4 = 18years

T = 20years (to the nearest tenth)

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b