Suppose you loan $320 to a friend and charge them 11% annual interest. If they don't pay any back, how many years will it take for them to owe you $2,000? Round your answer to the nearest hundredth (2 places after the decimal).

Step-by-step explanation:

For them to owe you a total of$2000 then an interest of $2000-320=$1680 must have accrued over the time T

T=$1680×100/320×11

T=47.7272...≈47.73 to the nearest hundredth

Proof,

Interest after 47.7262...years which is converted to 525/11 years

=($320×11×525/11)/100

=$1680

therefore total amount which will be owed at that time =principal+interest accrued

=$320+1680=$2000

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