if $850 grows to $1125 at an interest rate of 12.6% compounded continuously, how long has the money been in the account?

22 years approx.

Step-by-step explanation:

Step one

Given data

Principal P= $850

final amount A= $1125

rate r= 12.6%

Calculate time, solve for t

t = ln(A/P) / r

Step two:

Substitute

t= ln (1125/850)/0.0126

t=ln 1.32/0.0126

t= 0.277/0.0126

t=21.9

t= 22 years approx.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

i believe your answer is 99.7% of 7-year-old children are between 46.6 inches and 49.5 inches tall.