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

do i do it on a graph?

step-by-step explanation:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .