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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.
A)
She must average $450 per year.
B)
She must average $900 per year.
c)
She must average $1350 per year.
D)
She must average $1800 per year.

Respuesta :

nandhini123

Answer:

A)  She must average $450 per year.

Step-by-step explanation:

Given:

Lucy earned $400 and $550 in interest the last 2 years.

To Find:

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.

Solution:

Let the average interest be x

Let us use inequality  to represent the situation stated,

then after 5 years

[tex]400 + 550 +3x \geq 2300[/tex]

solving the equation,

[tex]950+3x \geq 2300[/tex]

[tex]950+3x \geq 2300[/tex]

[tex]3x \geq 2300 - 950[/tex]

[tex]3x \geq 1350[/tex]

[tex]x \geq\frac{1350}{3}[/tex]

[tex]x \geq 450 [/tex]

Thus 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  is $450 per year.

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