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Lucy earned $400 and $550 in interest the last 2 years. Describe the average interest she should earn in each of the next 3 years so that her total earnings over the 5-year period are at least $2300.

Respuesta :

Answer:

The minimum average interest she should earn in each of the next 3 years is $450

Step-by-step explanation:

Let

x -----> the average interest she should earn in each of the next 3 years

we know that

The sum of the amount earned over the 5-year period must be greater than or equal to $2,300

The inequality that represent this situation is

[tex]400+550+3x \geq 2,300[/tex]

Solve for x

Combine like terms left side

[tex]950+3x \geq 2,300[/tex]

subtract 950 both sides

[tex]3x \geq 2,300-950[/tex]

[tex]3x \geq 1,350[/tex]

Divide by 3 both sides

[tex]x\geq \$450[/tex]

therefore

The minimum average interest she should earn in each of the next 3 years is $450