Louisa has earmarked at most $250,000 for investing in two companies involved in the production of renewable energy: Solaron Corporation and Windmill Corporation.
She specifies that at least $50,000 must be invested in each company and that the amount invested in Solaron Corporation must not exceed 120% of that invested in Windmill Corporation.
(a) Write a system of linear inequalities that gives the restrictions placed upon Louisa's investments. (Let x represent the amount in thousands of dollars that Louisa invests in Solaron Corporation, and let y represent the amount in thousands of dollars she invests in Windmill Corporation.)

the inequalities are

x + y ≤ 250000

x ≥ 50000

y ≥ 50000

x ≤ 1.2y

Step-by-step explanation:

Let x represent the amount in thousands of dollars that Louisa invests in Solaron Corporation.

let y represent the amount in thousands of dollars she invests in Windmill Corporation.

Louisa has earmarked at most $250,000 for investing in two companies involved in the production of renewable energy. The inequality is

x + y ≤ 250000

She specifies that at least $50,000 must be invested in each company. It means that

x ≥ 50000

y ≥ 50000

The amount invested in Solaron Corporation must not exceed 120% of that invested in Windmill Corporation. It means that

x ≤ 1.2y

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.

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