Answer:
$1023.74
Step-by-step explanation:
Joan wants to buy a new TV that costs $1299.99. The store has a discount on the TV for 30% off. The city Joan lives in has a 12.5% sales tax. What will be the total cost of the TV?
Step 1
We find the new price after the discount.
Discount = % Discount × Current price
= 30% × $1299.99
= $389.997
The new discounted price =
$1299.99 - $389.997
= $909.993
Step 2
We calculate the Sales tax
The city Joan lives in has a 12.5% sales tax.
Hence,
The sales tax =
12.5% × $909.993
= 12.5/100 × $909.993
= $113.749125
Step 3
The total cost of the TV is calculated as:
Sales Tax + Discounted price
= $113.749125 + $909.993
= $1023.742125
Approximately = $1023.74
The total cost of the TV = $1023.74
Answer:
7 weeks
Step-by-step explanation:
John saves f(x) = 60+5x
Sarah saves g(x) =x^2 +46
They save the same amount of money
Set the equations equal
60+5x =x^2 +46
Subtract 60 from each side
60+5x -60 =x^2 +46-60
5x= x^2 - 14
Subtract 5x from each side
5x -5x= x^2-5x - 14
0 = x^2-5x - 14
Factor
0 = (x-7) (x+2)
Using the zero product property
x-7=0 x+2 =0
x=7 x=-2
Since we cannot have negative weeks
x=7
first plot (0,2) then (-1,5)