Evaluate the expression for x=-5,y=-7, and z=9
1 answer:
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Question:
A homeowner is building a flower bed in the backyard. He plans to put a layer of fertilizer over the entire flower bed.
Which expression represents the area in square feet that the homeowner will cover with fertilizer?
Answer:
Step-by-step explanation:
Given
Required
Determine an expression for the area
Area is calculated as:
Expand
Collect like terms
Given:
The rate of interest on three accounts are 7%, 8%, 9%.
She has twice as much money invested at 8% as she does in 7%.
She has three times as much at 9% as she has at 7%.
Total interest for the year is $150.
To find:
Amount invested on each rate.
Solution:
Let x be the amount invested at 7%. Then,
The amount invested at 8% = 2x
The amount invested at 9% = 3x
Total interest for the year is $150.
Multiply both sides by 100.
Divide both sides by 50.
The amount invested at 7% is .
The amount invested at 8% is
The amount invested at 9% is
Therefore, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.