It is known that a laptop company's average production is given by P(t) = (150t) / (3t+20), where t is the time (in days). How many days will it take the company to produce 30 laptops?

Step-by-step explanation:

Step one:

given that the expression for the company's average production is

Required:

t, when P=30

Step two:

substituting we have

30=150t/3t+20

cross multiply we have

30(3t+20)=150t

90t+600=150t

collect like terms

600=150t-90t

600=60t

divide through by 60

t=600/60

t=10 days

it will take the company 10 days

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500