Need asap an investment banker received a bonus and invested that money in two investments. he put a certain sum of money in the first investment that returned 7% interest after one year. in the second investment he invested four times that of the first investment and got a 14% interest return after one year. if the total interest from his investments after one year was $7,245.00, find the amount invested at each interest rate.

Let x represent the amount invested at 7%. Then the amount invested at 14% is 4x, and the total return is ...

... 7%·x +14%·4x = $7245

... x(.07 +4·0.14) = $7245 . . . . . change percentages to decimals to help collect terms

... $7245/0.63 = x = $11,500 . . . . the amount invested at 7%

... 4x = 4·$11,500 = $46,000 . . . . the amount invested at 14%

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

98%

step-by-step explanation: