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:
$2.83
Step-by-step explanation:
Diameter of the pool = 24ft
Cost of 1 ft² = $0.15
Area of the pool=?
But the pool is a circular pool,
Area of a circle = Πr² or πd²/4
π = 3.142
Area of the pool = (π * 24) / 4
Area = (3.142 * 24) / 4
Area = 18.85ft²
If 1ft² = $0.15
18.85 = $x
x = (18.85 * 0.15) / 1
x = $2.8275 = $2.83
The cost of the pool is $2.83
Answer:
Required value of k is 43% .
Explanation:
Lets assume original regular price of sports jacket = x
On sale , price of jacket is reuced by 30%
Sales price = x - 30% 0f x
Sales price= x – 0.30x
Sales price= 0.70x
Once sales is over price of jacket is increased by k%
That is
Sales price + k% of Sales price
= 0.70x + k% 0.70x
Also given after increasing to k% , price becomes equal to regular price
=> 0.70x + k% of 0.70x = original regular price
=>
=>
=>
=> 0.70k = 100 x 0.30
=>that is 43
Hence required value of k is 43% .