Answer:
4 weeks
Step-by-step explanation:
Given information:
- Starting account balance = $85
- Weekly deposit = $8 + $10 = $18
Given equation:
[tex]\sf b = 85 + w(10 + 8)[/tex]
(where b is the balance and w is the number of weeks)
To find the number of it will take to have a balance of $150, substitute b = $150 into the given equation and solve for w:
[tex]\implies \sf 85+w(10+8)=150[/tex]
[tex]\implies \sf 85+18w=150[/tex]
[tex]\implies \sf 85+18w-85=150-85[/tex]
[tex]\implies \sf 18w=65[/tex]
[tex]\implies \sf \dfrac{18w}{18}=\dfrac{65}{8}[/tex]
[tex]\implies \sf w=3.6111...[/tex]
[tex]\implies \sf w=4\:weeks[/tex]
Therefore, there will be $150 in the bank account 4 weeks from now.
