If tanisha has $nbsp 100 100 to invest at 66% per annum compounded semiannuallysemiannually, how long will it be before she has $nbsp 150 150? if the compounding is continuous, how long will it be?

time is 6.76 years

Step-by-step explanation:

given data

amount = $150

payment = $100

rate r = 6%  = 0.06

to find out

time period t

solution

we know it is compounding continuous

so we will apply here formula that is

amount = payment ×   ..........1

put here all value we get

amount = payment ×  

150 = 100 ×  

take ln both side

ln 1.5 =    

0.40546 = 0.06t

t = 0.40546 / 0.06

t = 6.76

so time is 6.76 years

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

it would take 7/10 of an hour too fill the pool.

step-by-step explanation: