Find two positive numbers such that the sum of the first and twice the second is 200 and their product is a maximum.

20 and 90

Step-by-step explanation:

20 + 2(90) = 200

20 + 180 = 200

200 = 200

20 × 2(90)

= 20× 180

= 3,600

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

step-by-step explanation: