Answer:
<h2>$160</h2>
Step-by-step explanation:
Step one:
For Sadie
initial savings balance= $70
weekly savings = $18
Let S represent the amount of money Sadie has saved
and t the number of weeks after the beginning of the year
The total amount in savings after t weeks is
S=18t+70-------1
For Jack
initial savings balance= $90
weekly savings = $14
Let J represent the amount of money Jack has saved
and t the number of weeks after the beginning of the year
The total amount in savings after t weeks is
J=14t+90---------2
Step two
equation 1 and 2 to find t
18t+70=14t+90
18t-14t=90-70
4t=20
divide both sides by 4
t=20/4
t=5 weeks
so after 5 weeks Sadie and Jack will have the same amount of money
For Sadle t=5
S=18(5)+70-------1
S=90+70
S=$160
For Jack t=5
J=14(5)+90---------2
J=70+90
J=160
The two equations above shows that after 5 weeks their savings will be $160
Answer:
t > 82
Step-by-step explanation:
First write what we know.
Earned $72
$4 per ticket, t
Cost is $400
So let's write our equation:
The cost is $400 so we put that on the left side,
$400 =
Now on the right side, we know they earned $72, so +$72 and each ticket (t) is $4 so $4t would represent the amount earned after they sell a certain number of tickets.
So we write:
$400 = $4t + $72 Now solve for t to find the number of tickets they need to sell.
400 = 4t + 72 Subtract 72 from each side.
400 - 72 = 4t + 72 - 72
328 = 4t Divide each side by 4.
328/4 = 4t/4
328/4 = t
82 = t
If the committee wants money left over they need to sell more than 82 tickets!
Our inequality is:
t > 82
There would be a hole when x = -4.
If you factor both the top and the bottom, you will see that the factor (x + 4) is in both the numerator and denominator. Therefore, the would be a hole when x = -4 because that would also make the denominator 0.
