Answer:
[tex]Total\ sales\ should\ be=\$ 300000[/tex]
Step-by-step explanation:
[tex]Let\ her\ total\ sale=x[/tex]
Total Earning:
[tex]The\ offer=\$ 42500\\\\Income\ from\ the\ sales=8\%\ of\ total\ sale\\\\Income\ from\ the\ sales=8\%\ of\ x\\\\Income\ from\ the\ sales=\frac{8}{100}\times x\\\\Income\ from\ the\ sales==0.08x\\\\Total\ earning=Offer+Income\ from\ the\ sales\\\\Total\ earning=42500+0.08x[/tex]
Required Earning=$66500
[tex]To\ move\ that\ city\\\\Total\ earning=required\ earning\\\\42500+0.08x=66500\\\\0.08x=66500-42500\\\\0.08x=24000\\\\x=\frac{24500}{0.08}\\\\x=300000\\\\Total\ sales\ should\ be=\$ 300000[/tex]
Her total sales would need to be at least $300,000 for her to move
Step-by-step explanation:
Briana has been offered a sales job in another city
We need to find what would her total sales need to be for her to move
Assume that her total sales is x
∵ The offer was for $42,500 plus 8% of her total sales
∵ Her total sales = x
- To find her annual salary multiply x by 8% and add the
product to $42,500
∴ Her annual salary = 8% × x + 42,500
∵ 8% × x = [tex]\frac{8}{100}[/tex] × x = 0.08 x
∴ Her annual salary = 0.08 x + 42,500
∵ Briana needs to have an annual salary of at least $66,500
- At least means ≥
∴ Her annual salary ≥ 66,500
- Substitute her annual salary by the expression above
∴ 0.08 x + 42,500 ≥ 66,500
- Subtract 42,500 from both sides of inequality
∴ 0.08 x ≥ 24,000
- Divide both sides by 0.08
∴ x ≥ 300,000
∴ Her total sales ≥ $300,000
Her total sales would need to be at least $300,000 for her to move
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